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{{short description|Mental representation or an abstract object}}
{{Short description|Fundamental unit of cognition}}
{{Other uses}}
{{Other uses}}
[[File:Generalization process using trees.svg|thumb|right|alt=Diagram|A representation of the concept of a tree. The four upper images of trees can be roughly quantified into an overall generalization of the idea of a tree, pictured in the lower image.]]
A '''concept''' is a fundamental unit of [[cognition]] that [[Classification|classifies]] entities and encodes shared features. Concepts make it possible to form and combine [[ideas]], draw [[inferences]], and [[Reference|refer to external objects]]. They act as the [[Meaning (philosophy)|meanings]] of [[word]]s and play a central role in many cognitive processes, including [[perception]], [[memory]], and [[Logical reasoning|reasoning]]. Researchers distinguish different types of concepts based on their internal structure, mode of acquisition, and domain. These include simple and complex concepts, learned and innate concepts, concrete and abstract concepts, and natural and logical concepts.
A '''concept''' is an [[abstraction|abstract]] idea that serves as a foundation for more [[abstract and concrete|concrete]] principles, [[thought]]s, and [[belief]]s.<ref>{{Cite book|doi = 10.1007/11524564_4|chapter = What is a Concept?|title = Conceptual Structures: Common Semantics for Sharing Knowledge|series = Lecture Notes in Computer Science|year = 2005|last1 = Goguen|first1 = Joseph|volume = 3596|pages = 52–77|isbn = 978-3-540-27783-5}}</ref>
Concepts play an important role in all aspects of [[cognition]].<ref>Chapter 1 of Laurence and Margolis' book called Concepts: Core Readings. {{ISBN|9780262631938}}</ref><ref>Carey, S. (1991). Knowledge Acquisition: Enrichment or Conceptual Change? In S. Carey and R. Gelman (Eds.), ''The Epigenesis of Mind: Essays on Biology and Cognition'' (pp. 257–291). Hillsdale, NJ: Lawrence Erlbaum Associates.</ref> As such, concepts are studied within such disciplines as linguistics, psychology, and philosophy, and these disciplines are interested in the logical and psychological structure of concepts, and how they are put together to form thoughts and sentences. The study of concepts has served as an important flagship of an emerging interdisciplinary approach, cognitive science.<ref>{{Cite web|url=https://bcs.mit.edu/research/cognitive-science|title=Cognitive Science &#124; Brain and Cognitive Sciences|access-date=2019-07-08|archive-date=2021-06-18|archive-url=https://web.archive.org/web/20210618025411/https://bcs.mit.edu/research/cognitive-science|url-status=dead}}</ref>


In [[contemporary philosophy]], three understandings of a concept prevail:<ref name="Stanford Encycl">{{cite encyclopedia|title=Concepts|url=http://plato.stanford.edu/entries/concepts/|encyclopedia=Stanford Encyclopedia of Philosophy|publisher=Metaphysics Research Lab at Stanford University|access-date=6 November 2012|author=Eric Margolis|author2=Stephen Lawrence}}</ref>
The [[Definitionism|classical theory]] holds that concepts are essentially definitions, each characterized by fixed rules determining to which entities the concept applies. [[Prototype theory]] rejects this outlook, arguing that concept membership depends on similarity to a prototype{{em dash}}a cluster of features typically associated with the category. According to [[exemplar theory]], similarity derives from individual memories of concrete instances rather than a single prototypical summary representation. [[Theory theory]] maintains that concepts are embedded in domain-specific theories, while conceptual atomism argues that [[Lexical item|lexical concepts]] are separate units without internal structure. Philosophers debate whether concepts are [[mental representation]]s or [[abstract objects]] that exist independently of individual minds.
* [[mental representation]]s, such that a concept is an entity that exists in the mind (a mental object)
* [[abilities]] peculiar to cognitive agents (mental states)
* [[Sense and reference#Sense|Fregean senses]], [[abstract objects]] rather than a mental object or a mental state


Concepts are classified into a hierarchy, higher levels of which are termed "superordinate" and lower levels termed "subordinate". Additionally, there is the "basic" or "middle" level at which people will most readily categorize a concept.<ref>Eysenck. M. W., (2012) Fundamentals of Cognition (2nd) Psychology Taylor & Francis.</ref> For example, a basic-level concept would be "chair", with its superordinate, "furniture", and its subordinate, "easy chair".
[[Concept learning]] is the process of acquiring a new concept, which is required before an individual can use it. Suggested learning mechanisms include [[associative learning]], in which similarities are gradually noticed as learners encounter instances, and [[hypothesis]] testing, which involves formulating testable rules. [[Psychological nativism|Nativism]] and [[empiricism]] are competing theories about whether there are inborn concepts not learned from experience. Researchers also examine how concept learning develops from [[childhood]] to [[adulthood]], how [[Animal cognition|nonhuman animals form concepts]], and how computers can model and acquire concepts.


Concepts may be exact or inexact.<ref>[[Joseph Goguen]] ""The logic of inexact concepts", [[Synthese]] 19 (3/4): 325–373 (1969).</ref> When the mind makes a generalization such as the concept of ''tree'', it extracts similarities from numerous examples; the simplification enables [[Hierarchy (thinking)|higher-level thinking]]. A concept is [[wikt:instantiate#Verb|instantiated (reified)]] by all of its actual or potential instances, whether these are things in the real world or other [[idea]]s.
Concepts are relevant to many fields, including [[psychology]], [[philosophy]], and [[linguistics]]. Inquiry into their nature originated in [[Ancient history|antiquity]] and became a central topic in the 20th century as researchers discussed various theories of concepts and the cognitive mechanisms underlying them.


Concepts are studied as components of human cognition in the [[cognitive science]] disciplines of [[linguistics]], [[psychology]], and [[philosophy]], where an ongoing debate asks whether all cognition must occur through concepts. Concepts are regularly [[Formal system|formalized]] in [[mathematics]], [[computer science]], [[databases]] and [[artificial intelligence]]. Examples of specific high-level conceptual classes in these fields include [[class (set theory)|classes]], [[database schema|schema]] or [[category (mathematics)|categories]]. In informal use, the word ''concept'' can refer to any [[idea]].
== Definition and central features ==
[[File:Concept - fruit.svg|thumb|upright=1.2|alt=Diagram showing fruits on the left and non-fruit items on the right|Concepts, like the concept ''fruit'', group entities into categories and separate them from others.<ref>{{multiref | {{harvnb|Bruner|Goodnow|Austin|2017|loc=§ 1. Introduction}} | {{harvnb|Solomon|Medin|Lynch|1999|pp=99–100}} | {{harvnb|Murphy|2002|pp=1–2}} | {{harvnb|Prinz|2006|loc=§ What Are Concepts For?}} }}</ref>]]
Concepts are fundamental units of [[cognition]] through which individuals understand the world. They make it possible to form and combine [[ideas]], classify things, draw [[inferences]], grasp the meanings of [[words]], and refer to external entities. Concepts are often understood as [[Mental representation|abstract representations]] or ideas that different people can share. They encode common features of objects and events, grouping individual things into categories. For example, the concepts ''car'', ''teacher'', and ''prime number'' encode information about their respective kinds, conveying what members of each group have in common. Concepts are involved in many mental processes, including [[perception]], [[memory]], [[reasoning]], [[learning]], and [[decision-making]].<ref>{{multiref | {{harvnb|Margolis|Laurence|2023|loc=Lead section}} | {{harvnb|Prinz|2006|loc=Lead section, § What Are Concepts For?}} | {{harvnb|Rey|1998|loc=Lead section}} | {{harvnb|Medin|Abn|Wisniewski|2003|loc=Lead section}} | {{harvnb|Asoulin|2019|loc=§ What Is a Concept?}} }}</ref> They are relevant to several fields of inquiry, such as [[philosophy]], [[psychology]], [[linguistics]], and [[cognitive science]]. Their exact definition is disputed and varies by discipline.<ref>{{multiref | {{harvnb|Earl|loc=Lead section}} | {{harvnb|Machery|2009|pp=3}} | {{harvnb|Frixione|Lieto|2014|pp=3–4}} | {{harvnb|Laurence|Margolis|1999|p=3}} }}</ref>


== Ontology of concepts ==
The [[Intension and extension|intension]] of a concept is its sense or the features it encodes. The extension of a concept is the set of all entities to which it refers. A concept is typically a general entity that applies to many different things. For example, the concept ''city'' refers to New York, Paris, Tokyo, and many others.<ref>{{multiref | {{harvnb|Peifer|2003|pp=52–53}} | {{harvnb|Rey|1998|loc=§ 4. Referential Views}} }}</ref> Philosophers also discuss singular concepts, which refer only to a single entity, such as the concept of the planet [[Mars]]. There are also empty concepts without real-world instances, like the concept ''[[unicorn]]''.<ref>{{multiref | {{harvnb|Marradi|2012|pp=32–34}} | {{harvnb|Duží|Jespersen|Materna|2010|p=[https://books.google.com/books?id=9cK10D6QFKUC&pg=PA157 157]}} | {{harvnb|Klima|2009|p=[https://books.google.com/books?id=tnw8DwAAQBAJ&pg=PA69 69]}} | {{harvnb|Perlman|2000|p=[https://books.google.com/books?id=P7HUpHbOSekC&pg=PA221 221]}} }}</ref>
A central question in the study of concepts is the question of what they ''are''. Philosophers construe this question as one about the [[ontology]] of concepts—what kind of things they are. The ontology of concepts determines the answer to other questions, such as how to integrate concepts into a wider theory of the mind, what functions are allowed or disallowed by a concept's ontology, etc. There are two main views of the ontology of concepts: (1) Concepts are abstract objects, and (2) concepts are mental representations.<ref name=":1">{{Cite journal|last1=Margolis|first1=Eric|last2=Laurence|first2=Stephen|year=2007|title=The Ontology of Concepts—Abstract Objects or Mental Representations?|journal=Noûs|volume=41|issue=4|pages=561–593|citeseerx=10.1.1.188.9995|doi=10.1111/j.1468-0068.2007.00663.x}}</ref>


=== Concepts as mental representations ===
Concepts are components of [[thought]] but not fully formed thoughts: they are subpropositional units, like the concept ''baby'', that do not amount to complete [[propositions]], like the statement "the baby is sleeping". Accordingly, concepts apprehend the character of something without asserting or negating anything about it.<ref>{{multiref | {{harvnb|Laurence|Margolis|1999|p=4}} | {{harvnb|Peifer|2003|pp=51–52}} }}</ref> Concepts are further distinguished from nonconceptual contents{{em dash}}mental representations that do not require concept possession. Raw [[sense data]], such as colors, shapes, and sounds, are often discussed as examples of nonconceptual contents. According to this view, perception contains more information than what is conceptually grasped. For example, a person may visually distinguish differences between similar shades of red despite lacking distinct concepts for each shade.<ref>{{multiref | {{harvnb|Bermúdez|Cahen|2024|loc=Lead section, § Introduction, § 4.1 Perceptual Experience and Nonconceptual Content}} | {{harvnb|Frixione|Lieto|2014|pp=3–6}} }}</ref>
{{See also|Direct and indirect realism}}


==== The psychological view of concepts ====
Concepts are closely related to language and are often characterized as the meanings of words. However, they are not identical to words: [[Synonym|different words can express the same concept]],{{efn|e.g., the words ''city'' and ''metropolis''<ref>{{harvnb|Rey|1998|loc=Lead section}}</ref>}} and a single word can have several meanings.{{efn|For example, the word ''mouse'' can denote [[Mouse|a small rodent]] or a [[Computer mouse|computer input device]].<ref>{{harvnb|Merriam-Webster|2026}}</ref>}} It is possible to learn a word without knowing its meaning and to possess a concept without knowing a word for it. Conceptual capacities are primarily associated with humans, but in a broader sense, they are also attributed to some nonhuman animals.<ref>{{multiref | {{harvnb|Rey|1998|loc=Lead section}} | {{harvnb|Shea|2024|loc=§ Broader Connections}} }}</ref>
{{Main article|Mental representation}}
Within the framework of the [[representational theory of mind]], the structural position of concepts can be understood as follows: Concepts serve as the building blocks of what are called ''mental representations'' (colloquially understood as ''ideas in the mind''). Mental representations, in turn, are the building blocks of what are called ''[[propositional attitude]]s'' (colloquially understood as the stances or perspectives we take towards ideas, be it "believing", "doubting", "wondering", "accepting", etc.). And these propositional attitudes, in turn, are the building blocks of our understanding of thoughts that populate everyday life, as well as folk psychology. In this way, we have an analysis that ties our common everyday understanding of thoughts down to the scientific and philosophical understanding of concepts.<ref>[[Jerry Fodor]], ''Concepts: Where Cognitive Science Went Wrong''</ref>


==== The physicalist view of concepts ====
[[File:Taxonomic Rank Graph.svg|thumb|upright=1.4|alt=Graph showing the main taxonomic ranks of Vulpes vulpes|Concepts can form hierarchies in which a superordinate concept, like ''animal'', encompasses subordinate concepts, ''like mammal''.<ref>{{multiref | {{harvnb|Levering|Kurtz|2019|p=63}} | {{harvnb|Murphy|2002|pp=199–202}} }}</ref>]]
{{See also|Physicalism}}In a [[physicalism|physicalist]] [[philosophy of mind|theory of mind]], a concept is a mental representation, which the brain uses to denote a class of things in the world. This is to say that it is literally a symbol or group of symbols together made from the physical material of the brain.<ref name="Origin of Concepts">{{cite book|title=The Origin of Concepts|last=Carey|first=Susan|publisher=Oxford University Press|year=2009|isbn=978-0-19-536763-8}}</ref><ref name="Big Book">{{cite book|title=The Big Book of Concepts|last=Murphy|first=Gregory|publisher=Massachusetts Institute of Technology|year=2002|isbn=978-0-262-13409-5}}</ref> Concepts are mental representations that allow us to draw appropriate inferences about the type of entities we encounter in our everyday lives.<ref name="Big Book"/> Concepts do not encompass all mental representations, but are merely a subset of them.<ref name="Origin of Concepts"/> The use of concepts is necessary to cognitive processes such as [[categorization]], [[memory]], [[decision making]], [[learning]], and [[inference]].<ref>McCarthy, Gabby (2018) "Introduction to Metaphysics". pg. 35</ref>


Concepts are thought to be stored in long term [[Cerebral cortex|cortical]] memory,<ref>Eysenck. M. W., (2012) Fundamentals of Cognition (2nd) Psychology Taylor & Francis</ref> in contrast to [[episodic memory]] of the particular objects and events which they abstract, which are stored in [[hippocampus]]. Evidence for this separation comes from hippocampal damaged patients such as [[patient HM]]. The [[Abstraction principle (law)|abstraction]] from the day's hippocampal events and objects into cortical concepts is often considered to be the computation underlying (some stages of) sleep and dreaming. Many people (beginning with Aristotle) report memories of dreams which appear to mix the day's events with analogous or related historical concepts and memories, and suggest that they were being sorted or organized into more abstract concepts. ("Sort" is itself another word for concept, and "sorting" thus means to organize into concepts.)
Concepts can form hierarchies in which a superordinate concept encompasses subordinate concepts. For instance, the superordinate concept ''animal'' covers the subordinate concept ''mammal''. These hierarchies can span multiple levels, for example, the concept ''mammal'' is itself superordinate to the subordinate concept ''fox''. All members of a subordinate concept inherit the defining features of their superordinate concepts.<ref>{{multiref | {{harvnb|Levering|Kurtz|2019|p=63}} | {{harvnb|Murphy|2002|pp=199–202}} }}</ref>


=== Concepts as abstract objects ===
To use a concept, an individual must possess it. Concept acquisition is the process of learning a concept, as when a child learns the concept ''cat'' by seeing, hearing, and interacting with cats. In some cases, new concepts are formed by combining pre-existing ones, such as combining the concepts ''white'' and ''cat'' to form the concept ''white cat''.<ref>{{multiref | {{harvnb|Prinz|2006|loc=§ Some Issues of Controversy}} | {{harvnb|Murphy|2002|pp=443–444}} }}</ref> Concepts are closely related to conception, which denotes either the act of developing an idea or beliefs about what makes something fall under a concept.<ref>{{multiref | {{harvnb|Ezcurdia|1998|pp=187–188}} | {{harvnb|Shea|2024|loc=§ What is a concept?}} | {{harvnb|HarperCollins|2022}} }}</ref>
{{See also|Abstract and concrete|Abstract object theory}}


The semantic view of concepts suggests that concepts are [[Abstract and concrete|abstract]] objects. In this view, concepts are abstract objects of a category out of a human's mind rather than some mental representations.<ref name=":1"/>
The word ''concept'' originates from the [[Latin language|Latin]] term {{lang|la|concipere}}, meaning {{gloss|to conceive, to take in}}. Through the perfect participle {{lang|la|conceptus}}, the Latin word entered [[Middle English]], with the earliest documented use in 1479.<ref>{{multiref | {{harvnb|OED staff|2026}} | {{harvnb|HarperCollins|2022a}} | {{harvnb|Danesi|2000|p=[https://books.google.com/books?id=n6XFBxvLzk0C&pg=PA63 63]}} }}</ref>


There is debate as to the relationship between concepts and [[natural language]].<ref name="Stanford Encycl"/> However, it is necessary at least to begin by understanding that the concept "dog" is philosophically distinct from the things in the world grouped by this concept—or the reference class or [[Extension (semantics)|extension]].<ref name="Origin of Concepts"/> Concepts that can be equated to a single word are called "lexical concepts".<ref name="Stanford Encycl"/>
== Roles ==
Concepts play multiple cognitive roles. They function as [[Classification|categories]] that group objects or events into [[Class (philosophy)|classes]] and make it possible to distinguish between them. For instance, the concept ''turtle'' classifies entities into turtles and non-turtles. Categorization is essential to human cognition to simplify the complexity of the world by picking out relevant characteristics and ignoring irrelevant differences, which reduces cognitive load. When an individual encounters a new entity, categorization helps them understand and interact with it. For example, recognizing a plastic stick with bristles as a toothbrush conveys the object's purpose. Correct categorization is vital for survival and everyday functioning, such as distinguishing [[Edible plant|edible]] from [[poisonous plants]]. It typically happens fast and unconsciously, forming the foundation for more sophisticated cognitive activities.<ref>{{multiref | {{harvnb|Bruner|Goodnow|Austin|2017|loc=§ 1. Introduction}} | {{harvnb|Solomon|Medin|Lynch|1999|pp=99–100}} | {{harvnb|Murphy|2002|pp=1–2}} | {{harvnb|Prinz|2006|loc=§ What Are Concepts For?}} }}</ref>


The study of concepts and conceptual structure falls into the disciplines of [[linguistics]], [[philosophy]], [[psychology]], and [[cognitive science]].<ref name="Big Book"/>
These activities include [[inference]] and [[logical reasoning]], in which people access information they associate with distinct concepts. Once an entity is categorized, individuals can draw conclusions and predict outcomes based on their prior knowledge, even if they have not encountered the specific entity before. A person who possesses the concept ''shovel'' can not only distinguish shovels from other objects but also infer related information, such as their use for digging. Similarly, concepts help individuals explain the world around them. If a group is chanting slogans and waving scarves in the street, categorizing them as football fans makes sense of their behavior.<ref>{{multiref | {{harvnb|Prinz|2006|loc=§ What Are Concepts For?}} | {{harvnb|Solomon|Medin|Lynch|1999|pp=99–100}} | {{harvnb|Frixione|Lieto|2014|pp=1–3}} }}</ref>


In the simplest terms, a concept is a name or label that regards or treats an [[abstraction]] as if it had concrete or material existence, such as a person, a place, or a thing. It may represent a natural object that exists in the real world like a tree, an animal, a stone, etc. It may also name an artificial (man-made) object like a chair, computer, house, etc. Abstract ideas and knowledge domains such as freedom, equality, science, happiness, etc., are also symbolized by concepts. A concept is merely a symbol, a representation of the abstraction. The word is not to be mistaken for the thing. For example, the word "moon" (a concept) is not the large, bright, shape-changing object up in the sky, but only ''represents'' that celestial object. Concepts are created (named) to describe, explain and capture reality as it is known and understood.{{citation needed|date=May 2023}}
Several of these functions come together in the process of [[decision-making]], in which conceptual thought evaluates different courses of action to select the most beneficial one. For example, a doctor may identify the symptoms of a patient, infer the underlying disease, and then choose the treatment best suited to address the root cause of the illness. This way, conceptual understanding plays a key role in guiding action. Some concepts are directly related to goal-directed planning, such as the concept "things needed for a camping trip".<ref>{{multiref | {{harvnb|Solomon|Medin|Lynch|1999|pp=99–100}} | {{harvnb|Bruner|Goodnow|Austin|2017|loc=§ The Generality of Categorizing}} | {{harvnb|Prinz|2006|loc=§ What Are Concepts For?}} | {{harvnb|Murphy|2002|pp=1–2}} }}</ref>


==== ''A priori'' concepts and ''a posteriori'' concepts ====
As meanings of words, concepts play a key role in language. Linguistic conventions are social rules that link words to meanings, allowing individuals to express their ideas. Accordingly, concepts aid communication and social coordination by serving as stable meanings that people can transmit, share, and think about.<ref>{{multiref | {{harvnb|Solomon|Medin|Lynch|1999|pp=99–100}} | {{harvnb|Shea|2024|loc=Lead section, § Sense and Reference, § Broader Connections}} }}</ref>
{{Main article|A priori and a posteriori|Category (Kant)}}


[[Immanuel Kant|Kant]] maintained the view that human minds possess not only empirical or ''a posteriori'' concepts, but also pure or ''[[a priori and a posteriori|a priori]]'' concepts. Instead of being abstracted from individual perceptions, like empirical concepts, they originate in the mind itself. He called these concepts [[category (Kant)|categories]], in the sense of the word that means [[predicate (grammar)|predicate]], attribute, characteristic, or [[quality (philosophy)|quality]]. But these pure categories are predicates of things ''in general'', not of a particular thing. According to Kant, there are twelve categories that constitute the understanding of phenomenal objects. Each category is that one predicate which is common to multiple empirical concepts. In order to explain how an ''a priori'' concept can relate to individual phenomena, in a manner analogous to an ''[[Empirical evidence|a posteriori]]'' concept, Kant employed the technical concept of the [[schema (Kant)|schema]]. He held that the account of the concept as an abstraction of experience is only partly correct. He called those concepts that result from abstraction "a posteriori concepts" (meaning concepts that arise out of experience). An empirical or an ''a posteriori'' concept is a general representation (''Vorstellung'') or non-specific thought of that which is common to several specific perceived objects (Logic §1, Note 1)
Concepts structure [[perception]] and guide [[attention]]. They further organize [[memory]], helping individuals encode and retrieve information associated with specific ideas.{{efn|[[Ideasthesia]] is another concept-related phenomenon in which the activiation of concepts triggers phenomenal experiences. For example, the concept of the letter ''A'' may evoke a shade of red.<ref>{{harvnb|Nikolić|2016|pp=41–43}}</ref>}} Similarly, concepts play a key role in learning through [[generalization]] and [[abstraction]]. People can also form new concepts by combining existing ones to represent new ideas. Individuals may update mental representations as they encounter new instances of a concept or grasp novel relations.<ref>{{multiref | {{harvnb|Solomon|Medin|Lynch|1999|pp=99–100}} | {{harvnb|Shea|2024|loc=Lead section, § Core Concepts}} | {{harvnb|Bruner|Goodnow|Austin|2017|loc=§ Preface to the 1986 Edition}} }}</ref>


A concept is a common feature or characteristic. Kant investigated the way that empirical ''a posteriori'' concepts are created.
== Types ==
{{Blockquote|The logical acts of the understanding by which concepts are generated as to their form are:
Several types of concepts are discussed in the academic literature, distinguished by internal structure, form of acquisition, domain, and mode of grouping. Complex concepts are created by combining simpler concepts to encode more specific information. In some cases, they are formed by [[Intersection|intersecting]] the meanings of two concepts. For example, combining the concepts ''red'' and ''apple'' yields the complex concept ''red apple''. In other cases, the combination occurs by using one concept to modify the meaning of another concept. For instance, the concepts ''boat'' and ''house'' can be combined into the concepts ''boathouse'' (a house for boats) and ''houseboat'' (a boat for dwelling), depending on the direction of modification. Complex concepts contrast with simple or primitive ones, which are not composed of other concepts. Simple concepts are closely related to [[lexical concept]]s, which are the meanings of single words, such as the ''bachelor'' and ''bird''. Some theorists argue that most or all lexical concepts are simple.<ref>{{multiref | {{harvnb|Cohen|Murphy|1984|pp=37–40, 50–52}} | {{harvnb|Laurence|Margolis|1999|pp=4–5}} | {{harvnb|Solomon|Medin|Lynch|1999|p=103}} | {{harvnb|Prinz|2006|loc=§ Informational Atomism}} }}</ref>


# ''comparison'', i.e., the likening of mental images to one another in relation to the unity of consciousness;
Another contrast is between learned and [[Innatism|innate concepts]]. Learned concepts are acquired through experience, instruction, or reasoning. For example, a person may learn the concept ''chess'' by watching others play, studying the rules, or playing themselves. Innate concepts, by contrast, are inborn. They provide basic representations or categories of understanding that enable individuals to interpret the world without prior learning. Academic debates address the relation between learned and innate concepts, including the questions of whether there are innate concepts and whether learning new concepts depends on innate ones.<ref>{{multiref | {{harvnb|Carey|2011|pp=113–114}} | {{harvnb|Baillargeon|2008|loc=Lead section}} | {{harvnb|Laurence|Margolis|2024|pp=[https://books.google.com/books?id=xsiKEQAAQBAJ&pg=PA1 1–6]}} }}</ref>
# ''reflection'', i.e., the going back over different mental images, how they can be comprehended in one consciousness; and finally
# ''abstraction'' or the segregation of everything else by which the mental images differ ...


In order to make our mental images into concepts, one must thus be able to compare, reflect, and abstract, for these three logical operations of the understanding are essential and general conditions of generating any concept whatever. For example, I see a fir, a willow, and a linden. In firstly comparing these objects, I notice that they are different from one another in respect of trunk, branches, leaves, and the like; further, however, I reflect only on what they have in common, the trunk, the branches, the leaves themselves, and abstract from their size, shape, and so forth; thus I gain a concept of a tree.|Logic, §6}}
The relation to experience plays a central role in the contrast between concrete and abstract concepts. Concrete concepts refer to entities that can be directly perceived, such as chairs or apples. This immediate connection to experience is absent in abstract concepts, such as ''idea'' and ''infinity''. In practice, the contrast is not a strict dichotomy but a continuum, with many concepts exhibiting varying degrees of concreteness or abstraction. In some cases, the connection to experience is established indirectly through inference and causal processes. For example, the concept ''[[electron]]'' describes physical entities that humans [[Unobservable|cannot directly observe]]. However, their existence and properties can be inferred from [[Experiment|experimental]] measurements. The lack of sensory anchoring generally makes abstract concepts more difficult to learn. Children typically acquire concrete concepts first and take longer to master abstract ones.<ref>{{multiref | {{harvnb|Dove|2022|pp=[https://books.google.com/books?id=4dV2EAAAQBAJ&pg=PA4 4–6]}} | {{harvnb|Rosenberg|2019|pp=[https://books.google.com/books?id=O4WZDwAAQBAJ&pg=PA241 241–242]}} | {{harvnb|Klausmeier|2013|pp=[https://books.google.com/books?id=cMvwdraULp0C&pg=PA94 94–95]}} | {{harvnb|Carey|2009|pp=8, 493, 522}} }}</ref> A related distinction is between [[A priori and a posteriori|''a posteriori'' and ''a priori'']] concepts. ''A posteriori'' concepts can only be learned or justified through sensory experience, whereas ''a priori'' concepts cannot be learned or justified in this way.<ref>{{multiref | {{harvnb|Baehr}} | {{harvnb|Cassam|2003|pp=[https://books.google.com/books?id=lw59JdhsBRwC&pg=PA87 87–88]}} }}</ref>


====Embodied content====
Logical concepts are based on precise rules. They have clear definitions determining their essential features. For instance, the geometrical concept ''square'' is a logical concept, defined as a figure with four sides of equal length and right angles between them. Logical concepts have precise boundaries: they clearly establish to which entities they apply and to which ones they do not. Natural concepts, by contrast, do not have exact definitions and do not unambiguously determine their range of application. Many everyday concepts, such as ''emotion'', are natural concepts whose boundaries are [[Fuzzy concept|fuzzy]] and difficult to delineate. Accordingly, natural concepts admit borderline cases and vary by degrees, meaning that some entities are more typical members than others.<ref>{{multiref | {{harvnb|Davey|Sterling|Field|2014|p=[https://books.google.com/books?id=DJWbBAAAQBAJ&pg=PA223 223]}} | {{harvnb|Watts|Lazerus|2009|loc=[https://books.google.com/books?id=MP5X2SK2DCgC&pg=PA148 148–149]}} }}</ref> Theories of concepts discuss whether all concepts are, at a fundamental level, characterized by precise definitions or by more vague similarities to a [[Prototype theory|prototype]] or a set of [[Exemplar theory|exemplars]].<ref>{{multiref | {{harvnb|Margolis|Laurence|2003|pp=191–196}} | {{harvnb|Rey|1998|loc=Lead section, § 7. Inferential Roles and Prototypes}} }}</ref>
{{Main article|Embodied cognition}}


In [[cognitive linguistics]], abstract concepts are transformations of concrete concepts derived from embodied experience. The mechanism of transformation is structural mapping, in which properties of two or more source domains are selectively mapped onto a blended space (Fauconnier & Turner, 1995; see [[conceptual blending]]). A common class of blends are [[metaphors]]. This theory contrasts with the rationalist view that concepts are perceptions (or ''recollections'', in [[Plato]]'s term) of an independently existing world of ideas, in that it denies the existence of any such realm. It also contrasts with the empiricist view that concepts are abstract generalizations of individual experiences, because the contingent and bodily experience is preserved in a concept, and not abstracted away. While the perspective is compatible with Jamesian pragmatism, the notion of the transformation of embodied concepts through structural mapping makes a distinct contribution to the problem of concept formation.{{citation needed|date=December 2011}}
{{multiple image
|perrow            = 2
|total_width      = 350
|image1            = Mother and son ̠ ̠ 4.jpg
|alt1              = Photo of a woman carrying a child
|image2            = Triangle with notations 2.svg
|alt2              = Triangle with notations for points, sides, and angles
|footer            = The concept ''mother'' is a relational concept that depends on external connections to other entities, whereas the concept ''triangle'' is intrinsically defined based on inherent features.<ref>{{multiref | {{harvnb|Bruner|Goodnow|Austin|2017|loc=§ Identity and Equivalence Categories}} | {{harvnb|Levering|Kurtz|2019|pp=63–65}} | {{harvnb|Klausmeier|2013|pp=[https://books.google.com/books?id=cMvwdraULp0C&pg=PA96 96–98]}} }}</ref>
}}


==== Realist universal concepts ====
Other distinctions focus on how concepts group entities into classes. Relational concepts describe entities by their interactions with or connections to other things, such as the concepts ''obstacle'' and ''grandmother''. They include goal-derived concepts, which organize items according to an external function or a shared purpose. For example, the category ''diet foods'' includes a variety of otherwise dissimilar items that serve the purpose of supporting weight loss. Relational concepts contrast with [[Intrinsic and extrinsic properties|intrinsically]] defined concepts, which group entities based on inherent properties independent of extrinsic purposes or external roles, such as the concept ''triangle''. Other proposed types include affective categories, which group entities by the emotions they evoke, and ''ad hoc'' categories, which are formed spontaneously, typically in response to situational demands, such as the concept ''things to grab in a fire''.<ref>{{multiref | {{harvnb|Bruner|Goodnow|Austin|2017|loc=§ Identity and Equivalence Categories}} | {{harvnb|Levering|Kurtz|2019|pp=63–65}} | {{harvnb|Klausmeier|2013|pp=[https://books.google.com/books?id=cMvwdraULp0C&pg=PA96 96–98]}} }}</ref>
{{Main|Platonic realism}}
[[Platonism|Platonist]] views of the mind construe concepts as abstract objects.<ref name="concepts core readings">{{cite book|title=Concepts and Cognitive Science|author=Stephen Lawrence|author2=Eric Margolis|publisher=Massachusetts Institute of Technology|year=1999|isbn=978-0-262-13353-1|location=in Concepts: Core Readings|pages=3–83}}</ref> [[Plato]] was the starkest proponent of the realist thesis of universal concepts. By his view, concepts (and ideas in general) are innate ideas that were instantiations of a transcendental world of pure forms that lay behind the veil of the physical world. In this way, universals were explained as transcendent objects. Needless to say, this form of realism was tied deeply with Plato's ontological projects. This remark on Plato is not of merely historical interest. For example, the view that numbers are Platonic objects was revived by [[Kurt Gödel]] as a result of certain puzzles that he took to arise from the phenomenological accounts.<ref>'Godel's Rationalism', [http://plato.stanford.edu/entries/goedel/#GodRat Stanford Encyclopedia of Philosophy]</ref>


==== Sense and reference ====
General concepts apply to many entities, while singular concepts refer to one specific entity, and empty concepts have no instances. Superordinate and subordinate concepts are distinguished by their level of specificity, as in the contrast between the concepts ''animal'' and ''mouse''.<ref>{{multiref | {{harvnb|Levering|Kurtz|2019|pp=63–65}} | {{harvnb|Marradi|2012|pp=32–34}} | {{harvnb|Murphy|2002|pp=199–202}} | {{harvnb|Perlman|2000|p=[https://books.google.com/books?id=P7HUpHbOSekC&pg=PA221 221]}} }}</ref>
{{Main|Sense and reference}}
[[Gottlob Frege]], founder of the analytic tradition in philosophy, famously argued for the analysis of language in terms of sense and reference. For him, the sense of an expression in language describes a certain state of affairs in the world, namely, the way that some object is presented. Since many commentators view the notion of sense as identical to the notion of concept, and Frege regards senses as the linguistic representations of states of affairs in the world, it seems to follow that we may understand concepts as the manner in which we grasp the world. Accordingly, concepts (as senses) have an ontological status.<ref name=":1"/>


==== Concepts in calculus ====
Concepts can also be classified by domain. Everyday concepts are non-technical categories used in daily life. They are usually practical, intuitive groupings relevant to ordinary interaction with the world but without precise definitions or exact boundaries. Scientific concepts, by contrast, are more precise and may lack immediate relevance to everyday experience. They are often based on exact definitions, typically with the goal of eliminating [[ambiguity]] and ensuring consistent [[measurement]], prediction, and explanation.<ref>{{multiref | {{harvnb|Hempel|1964|pp=1–2, 20–22}} | {{harvnb|Fitzgerald|2013|p=[https://books.google.com/books?id=EQJDCQAAQBAJ&pg=PA57 57]}} }}</ref> More fine-grained classifications distinguish between the specific fields to which concepts belong, including [[mathematical]], [[linguistic]], [[psychological]], and [[Morality|moral]] concepts.<ref>{{harvnb|Brummer|1984|pp=[https://books.google.com/books?id=0MqwCwAAQBAJ&pg=PA74 74–75]}}</ref>
According to [[Carl Benjamin Boyer]], in the introduction to his ''The History of the Calculus and its Conceptual Development'', concepts in calculus do not refer to perceptions. As long as the concepts are useful and mutually compatible, they are accepted on their own. For example, the concepts of the [[derivative]] and the [[integral]] are not considered to refer to spatial or temporal perceptions of the external world of experience. Neither are they related in any way to mysterious [[limit (mathematics)|limits]] in which quantities are on the verge of nascence or evanescence, that is, coming into or going out of existence. The abstract concepts are now considered to be totally autonomous, even though they originated from the process of abstracting or taking away qualities from perceptions until only the common, essential attributes remained.


== Notable theories on the structure of concepts ==
Descriptive concepts provide neutral characterizations of entities. [[Value theory|Evaluative]] or [[normative]] concepts, by contrast, concern values and norms, expressing what should be rather than what is. They are further divided into thin and [[thick concept]]s. Thin concepts encode pure evaluations without additional descriptive contents, such as ''right'' and ''wrong'' or ''good'' and ''bad''. Thick concepts combine evaluative and descriptive features, indicating both what something is and how it should be assessed. For example, ''[[Courage|courageous]]'' and ''[[cruel]]'' are thick concepts since they express [[character trait]]s in addition to evaluations.<ref>{{multiref | {{harvnb|Dancy|2005|p=349}} | {{harvnb|Orsi|2015|pp=[https://books.google.com/books?id=cc3cBAAAQBAJ&pg=PA2 2–3]}} | {{harvnb|Hirose|Olson|2015|p=[https://books.google.com/books?id=uvzVBgAAQBAJ&pg=PA3 3]}} }}</ref>


=== Classical theory ===
== Theories ==
{{Main article|Definitionism}}
Various theories about the nature of concepts are discussed in the academic literature. Theories of the structure of concepts ask how conceptual contents are encoded, for example, whether each concept is defined through exact rules or by grades of similarity. [[Ontology|Ontological]] theories examine whether concepts are mental constructs or exist independently of individual minds.<ref>{{multiref | {{harvnb|Margolis|Laurence|2023|loc=Lead section, § 1. The Ontology of Concepts, § 2. The Structure of Concepts}} | {{harvnb|Earl|loc=§ 2. Tasks for an Overall Theory of Concepts, § 3. Theories of Concepts}} }}</ref>


The classical theory of concepts, also referred to as the empiricist theory of concepts,<ref name="Origin of Concepts"/> is the oldest theory about the structure of concepts (it can be traced back to Aristotle<ref name="Big Book"/>), and was prominently held until the 1970s.<ref name="Big Book"/> The classical theory of concepts says that concepts have a definitional structure.<ref name="Stanford Encycl"/> Adequate definitions of the kind required by this theory usually take the form of a list of features. These features must have two important qualities to provide a comprehensive definition.<ref name="Big Book"/> Features entailed by the definition of a concept must be both ''[[necessity and sufficiency|necessary]]'' and jointly ''[[necessity and sufficiency|sufficient]]'' for membership in the class of things covered by a particular concept.<ref name="Big Book" /> A feature is considered necessary if every member of the denoted class has that feature. A set of features is considered sufficient if having all the parts required by the definition entails membership in the class.<ref name="Big Book" /> For example, the classic example ''[[bachelor]]'' is said to be defined by ''unmarried'' and ''[[man]]''.<ref name="Stanford Encycl"/> An entity is a bachelor (by this definition) if and only if it is both unmarried and a man. To check whether something is a member of the class, you compare its qualities to the features in the definition.<ref name="Origin of Concepts"/> Another key part of this theory is that it obeys the ''[[law of the excluded middle]]'', which means that there are no partial members of a class, you are either in or out.<ref name="Big Book"/>
=== Structure ===
==== Classical ====
{{main|Definitionism}}
[[File:Ludwig Wittgenstein.jpg|thumb|left|upright=.8|alt=Photo of a man with short hair wearing a suit|[[Ludwig Wittgenstein]] challenged the classical theory, arguing that concepts are usually based on family resemblance without precise underlying definitions.<ref>{{multiref | {{harvnb|Shanker|2002|pp=185–188}} | {{harvnb|Murphy|2002|pp=17–18, 499–500}} }}</ref>]]
The classical theory (also called ''definitionism'') asserts that concepts are essentially [[definitions]]. It proposes that there is a set of fixed rules for each concept, determining to which entities the concept applies. For example, the defining rules of the concept ''bachelor'' are typically given as "unmarried adult human male". These rules are regarded as [[necessary and sufficient conditions]]: all entities meeting the criteria are instances, and anything that fails to meet them is excluded.<ref>{{multiref | {{harvnb|Margolis|Laurence|2003|pp=191–195}} | {{harvnb|Murphy|2002|pp=11–20}} | {{harvnb|Prinz|2006|loc=§ The Classical Theory}} }}</ref>


The classical theory persisted for so long unquestioned because it seemed intuitively correct and has great explanatory power. It can explain how concepts would be acquired, how we use them to categorize and how we use the structure of a concept to determine its referent class.<ref name="Stanford Encycl"/> In fact, for many years it was one of the major activities in [[philosophy]]—[[formal concept analysis|concept analysis]].<ref name="Stanford Encycl"/> Concept analysis is the act of trying to articulate the necessary and sufficient conditions for the membership in the referent class of a concept.{{citation needed|date=December 2012}} For example, Shoemaker's classic "[[Time Without Change]]" explored whether the concept of the flow of time can include flows where no changes take place, though change is usually taken as a definition of time.{{citation needed|date=August 2020}}
According to the classical theory, concepts have precise boundaries: any entity either clearly falls under a concept or does not, with no intermediate cases. It also holds that all members of a concept are equal: there are no central or peripheral examples, just as there are no degrees of membership.<ref>{{multiref | {{harvnb|Margolis|Laurence|2003|pp=191–195}} | {{harvnb|Murphy|2002|pp=11–20}} | {{harvnb|Prinz|2006|loc=§ The Classical Theory}} }}</ref>


==== Arguments against the classical theory ====
Despite its prominence in the [[history of philosophy]], the empirical correctness of the classical theory has been challenged on various grounds. Critics assert that many everyday concepts are vague and lack exact boundaries. They also note that people usually regard some members as better examples than others, an effect measurable through the speed and accuracy of judgments about membership. A related argument states that many concepts lack generally accepted definitions based on fixed rules. For example, there is no widely accepted set of features of the concept ''[[game]]'' that applies equally to all games and distinguishes them from all other entities.<ref>{{multiref | {{harvnb|Margolis|Laurence|2003|pp=191–195}} | {{harvnb|Murphy|2002|pp=11–20}} | {{harvnb|Prinz|2006|loc=§ The Classical Theory}} }}</ref>{{efn|The neo-classical theory is an attempt to overcome some of these difficulties by weakening the requirements of the classical theory. For example, it holds that concepts encode partial definitions, such as necessary conditions that are not by themselves sufficient.<ref>{{harvnb|Laurence|Margolis|1999|pp=52–54}}</ref>}}
Given that most later theories of concepts were born out of the rejection of some or all of the classical theory,<ref name="concepts core readings"/> it seems appropriate to give an account of what might be wrong with this theory. In the 20th century, philosophers such as Wittgenstein and Rosch argued against the classical theory. There are six primary arguments<ref name="concepts core readings"/> summarized as follows:
* It seems that there simply are no definitions—especially those based in sensory primitive concepts.<ref name="concepts core readings"/>
* It seems as though there can be cases where our ignorance or error about a class means that we either don't know the definition of a concept, or have incorrect notions about what a definition of a particular concept might entail.<ref name="concepts core readings"/>
* [[Willard Van Orman Quine|Quine]]'s argument against analyticity in [[Two Dogmas of Empiricism]] also holds as an argument against definitions.<ref name="concepts core readings"/>
* Some concepts have fuzzy membership. There are items for which it is vague whether or not they fall into (or out of) a particular referent class. This is not possible in the classical theory as everything has equal and full membership.<ref name="concepts core readings"/>
* Experiments and research showed that assumptions of well defined concepts and categories might not be correct. Researcher Hampton<ref>{{cite journal |last1=Hampton |first1=J.A. |title=Polymorphous concepts in semantic memory. |journal=Journal of Verbal Learning and Verbal Behavior |date=1979 |volume=18 |issue=4 |pages=441–461|doi=10.1016/S0022-5371(79)90246-9 }}</ref> asked participants to differentiate whether items were in different categories. Hampton did not conclude that items were either clear and absolute members or non-members. Instead, Hampton found that some items were barely considered category members and others that were barely non-members. For example, participants considered sinks as barely members of kitchen utensil category, while sponges were considered barely non-members, with much disagreement among participants of the study. If concepts and categories were very well defined, such cases should be rare. Since then, many researches have discovered borderline members that are not clearly in or out of a category of concept.
* [[Eleanor Rosch|Rosch]] found typicality effects which cannot be explained by the classical theory of concepts, these sparked the prototype theory.<ref name="concepts core readings"/> See below.
* Psychological experiments show no evidence for our using concepts as strict definitions.<ref name="concepts core readings"/>


=== Prototype theory ===
==== Prototypes and exemplars ====
{{Main article|Prototype theory}}
{{main|Prototype theory|Exemplar theory}}
[[File:Prototype theory.svg|thumb|alt=Diagram of a prototypical apple surrounded by non-prototypical apples|Prototype theory asserts that concepts are summary representations that incorporate the most typical attributes of the category.<ref>{{multiref | {{harvnb|Levering|Kurtz|2019|p=58}} | {{harvnb|Murphy|2002|pp=41–48}} | {{harvnb|Margolis|Laurence|2003|pp=195–198}} | {{harvnb|Cohen|Murphy|1984|pp=30–31}} }}</ref>]]
[[File:Exemplar theory.svg|thumb|alt=Diagram showing five apples|Exemplar theory holds that the mind stores individual memories of exemplars as reference points for assessing concept membership.<ref>{{multiref | {{harvnb|Levering|Kurtz|2019|pp=58–59}} | {{harvnb|Murphy|2002|pp=49–55}} }}</ref>]]


Prototype theory came out of problems with the classical view of conceptual structure.<ref name="Stanford Encycl"/> Prototype theory says that concepts specify properties that members of a class tend to possess, rather than must possess.<ref name="concepts core readings"/> [[Ludwig Wittgenstein|Wittgenstein]], [[Eleanor Rosch|Rosch]], Mervis, [[Brent Berlin]], Anglin, and [[Michael Posner (psychologist)|Posner]] are a few of the key proponents and creators of this theory.<ref name="concepts core readings"/><ref name="new paradigm">{{cite book|last=Brown|first=Roger|title=A New Paradigm of Reference|year=1978|publisher=Academic Press Inc|isbn=978-0-12-497750-1|pages=159–166}}</ref> Wittgenstein describes the relationship between members of a class as ''family resemblances''. There are not necessarily any necessary conditions for membership; a dog can still be a dog with only three legs.<ref name="Big Book"/> This view is particularly supported by psychological experimental evidence for prototypicality effects.<ref name="Big Book"/> Participants willingly and consistently rate objects in categories like 'vegetable' or 'furniture' as more or less typical of that class.<ref name="Big Book"/><ref name="new paradigm"/> It seems that our categories are fuzzy psychologically, and so this structure has explanatory power.<ref name="Big Book"/> We can judge an item's membership of the referent class of a concept by comparing it to the typical member—the most central member of the concept. If it is similar enough in the relevant ways, it will be cognitively admitted as a member of the relevant class of entities.<ref name="Big Book"/> Rosch suggests that every category is represented by a central exemplar which embodies all or the maximum possible number of features of a given category.<ref name="Big Book"/> Lech, Gunturkun, and Suchan explain that categorization involves many areas of the brain. Some of these are: visual association areas, prefrontal cortex, basal ganglia, and temporal lobe.
Prototype theory emerged as a response to the difficulties faced by the classical theory. It rejects the existence of precise definitions, arguing instead for gradual concept membership based on degrees of [[Similarity (philosophy)|similarity]]. Prototype theorists assert that each concept is characterized by a cluster of features, called a ''prototype'', that includes the most typical attributes of members and serves as an abstract summary representation. For example, the prototype ''bird'' includes features such as having feathers, having a beak, having wings, and being able to fly. On this view, categorization happens by matching features: individuals compare the features they perceive to stored prototypes to decide whether an entity belongs to a category. Cognition assesses whether [[family resemblance]] to the entity is sufficiently high, even if the entity does not possess all prototypical features. Some prototypes may even include incompatible features that no single instance can satisfy, like the features ''long-haired'' and ''short-haired'' for the concept ''dog''. Different features have different weights, meaning that matching the most central features is more important than matching peripheral ones. For instance, the feature ''can harm'' is more central to the concept ''weapon'' than the feature ''made of iron''.<ref>{{multiref | {{harvnb|Levering|Kurtz|2019|p=58}} | {{harvnb|Murphy|2002|pp=41–48}} | {{harvnb|Margolis|Laurence|2003|pp=195–198}} | {{harvnb|Cohen|Murphy|1984|pp=30–31}} }}</ref>


The Prototype perspective is proposed as an alternative view to the Classical approach. While the Classical theory requires an all-or-nothing membership in a group, prototypes allow for more fuzzy boundaries and are characterized by attributes.<ref name="prototype in linguistic theory">{{Cite book|url=https://philpapers.org/rec/TAYLCP-3|title=Linguistic Categorization: Prototypes In Linguistic Theory|last=TAYLOR|first=John R.|date=1989}}</ref> Lakoff stresses that experience and cognition are critical to the function of language, and Labov's experiment found that the function that an artifact contributed to what people categorized it as.<ref name="prototype in linguistic theory"/> For example, a container holding mashed potatoes versus tea swayed people toward classifying them as a bowl and a cup, respectively. This experiment also illuminated the optimal dimensions of what the prototype for "cup" is.<ref name="prototype in linguistic theory"/>
Critics of the prototype theory assert that it succeeds only for some concepts but fails for others. For instance, the concept ''grandmother'' is determined by family relations that are not directly perceivable, and prototypical features such as having gray hair and wrinkled skin are not reliable indicators of membership. The prototype theory also struggles to explain how concepts combine to form new ones, a process which often depends on logical relations rather than the aggregation of prototypical attributes. Additionally, some concepts are too specific to have clear prototypical attributes, such as the concept "grandmother whose grandchildren are married to dentists".<ref>{{multiref | {{harvnb|Margolis|Laurence|2003|pp=195–198}} | {{harvnb|Cohen|Murphy|1984|pp=37–42}} }}</ref>


Prototypes also deal with the essence of things and to what extent they belong to a category. There have been a number of experiments dealing with questionnaires asking participants to rate something according to the extent to which it belongs to a category.<ref name="prototype in linguistic theory"/> This question is contradictory to the Classical Theory because something is either a member of a category or is not.<ref name="prototype in linguistic theory"/> This type of problem is paralleled in other areas of linguistics such as phonology, with an illogical question such as "is /i/ or /o/ a better vowel?" The Classical approach and Aristotelian categories may be a better descriptor in some cases.<ref name="prototype in linguistic theory"/>
Exemplar theory is another similarity-based approach. It rejects the idea that each concept is based on a single abstract summary representation in the form of a prototypical cluster of features. Instead, it holds that the mind stores many exemplars, each a concrete individual instance of the concept. For example, the concept ''apple'' is based on individual memories of apples that a person has encountered. Categorizing something as an apple involves comparing it to a set of stored apple exemplars to assess whether it is sufficiently similar to belong to the category. In the widest sense, any apple a person has encountered can serve as an exemplar for future judgments. However, different memories are assigned different weights, with more salient and easily recalled instances exerting greater influence.<ref>{{multiref | {{harvnb|Levering|Kurtz|2019|pp=58–59}} | {{harvnb|Murphy|2002|pp=49–55}} }}</ref>


=== Theory-theory ===
==== Theory theory, atomism, and pluralism ====
{{Main|Theory-theory}}
The [[theory theory]], also called the ''knowledge approach'', holds that concepts are essentially connected to theories. A key idea underlying this outlook is that acquiring a concept is about learning theoretical knowledge relevant to a specific domain and that applying concepts involves theoretical reasoning and the prediction of outcomes. For example, learning the concept ''[[electron]]'' includes the acquisition of various beliefs about electrons, such as that electrons are elementary particles with a negative charge. The relevant theories need not be [[scientific]]{{em dash}}they include informal intuitive understanding, such as a child's commonsense belief that solid objects cannot pass through each other.<ref>{{multiref | {{harvnb|Weiskopf|loc=Lead section}} | {{harvnb|Prinz|2006|loc=§ The Theory Theory and Holism}} | {{harvnb|Margolis|Laurence|2003|pp=198–200}} }}</ref>
Theory-theory is a reaction to the previous two theories and develops them further.<ref name="Big Book"/> This theory postulates that categorization by concepts is something like scientific theorizing.<ref name="Stanford Encycl"/> Concepts are not learned in isolation, but rather are learned as a part of our experiences with the world around us.<ref name="Big Book"/> In this sense, concepts' structure relies on their relationships to other concepts as mandated by a particular mental theory about the state of the world.<ref name="concepts core readings"/> How this is supposed to work is a little less clear than in the previous two theories, but is still a prominent and notable theory.<ref name="concepts core readings"/> This is supposed to explain some of the issues of ignorance and error that come up in prototype and classical theories as concepts that are structured around each other seem to account for errors such as whale as a fish (this misconception came from an incorrect theory about what a whale is like, combining with our theory of what a fish is).<ref name="concepts core readings"/> When we learn that a whale is not a fish, we are recognizing that whales don't in fact fit the theory we had about what makes something a fish. Theory-theory also postulates that people's theories about the world are what inform their conceptual knowledge of the world. Therefore, analysing people's theories can offer insights into their concepts. In this sense, "theory" means an individual's mental explanation rather than scientific fact. This theory criticizes classical and prototype theory as relying too much on similarities and using them as a sufficient constraint. It suggests that theories or mental understandings contribute more to what has membership to a group rather than weighted similarities, and a cohesive category is formed more by what makes sense to the perceiver. Weights assigned to features have shown to fluctuate and vary depending on context and experimental task demonstrated by Tversky. For this reason, similarities between members may be collateral rather than causal.<ref>{{Cite journal|last1=Murphy|first1=Gregory L.|last2=Medin|first2=Douglas L.|date=1985|title=The role of theories in conceptual coherence.|journal=Psychological Review|volume=92|issue=3|pages=289–316|doi=10.1037/0033-295x.92.3.289|pmid=4023146|issn=0033-295X}}</ref>


== Methodology of conceptualisation ==
One version of the theory theory holds that each concept is a small theory. It asserts that concepts apply to a particular domain, grouping features within this domain and explaining how they interact. A different outlook distinguishes between concepts and theories: it holds that concepts are essentially constituents of theories, functioning as representational units rather than miniature theories.<ref>{{harvnb|Weiskopf|loc=§ 2c. Concepts in Theories Versus Concepts as Theories}}</ref> In either view, a central aspect of the theory theory is its [[Holism|holistic]] outlook: concepts do not exist in isolation but are embedded within a web of interdependent beliefs. For instance, the concept ''electron'' depends on the concept ''negative charge''.<ref>{{multiref | {{harvnb|Prinz|2006|loc=§ The Theory Theory and Holism}} | {{harvnb|Margolis|Laurence|2003|pp=198–200}} }}</ref>
Regarding conceptualisation, the conventional approach, influenced by [[Giovanni Sartori]], treats concepts as precise categories with defined attributes.<ref name="Sartori1970" /> It uses a "ladder of abstraction" to adjust a concept's generality for clear [[classification]] and analytical rigour.<ref name="Sartori1970">{{cite journal |last1=Sartori |first1=G. |year=1970 |title=Concept misformation in comparative politics |journal=American Political Science Review |volume=64 |issue=4 |pages=1033–1053 |doi=10.2307/1958356}}</ref> In contrast, interpretive approaches view concepts as fluid products of [[language]] and [[Social environment|social context]]. These methods analyse how language and a researcher's own [[Positionality statement|positionality]] shape conceptual meaning in practice.<ref name="KnottAlejandro2024">{{cite journal |last1=Knott |first1=E. |last2=Alejandro |first2=A. |year=2024 |title=From Conceptual Misalignment to Reconceptualizing: Demonstrating the Process of Reconceptualization |journal=Global Studies Quarterly |volume=4 |issue=3 |pages=ksae077 |doi=10.1093/isagsq/ksae077|doi-access=free }}</ref>


Methodological debates in the [[Social science|social sciences]] have been addressing how researchers should refine concepts that are misaligned with empirical reality. Emerging methodologies tried to bridge the above-mentioned traditions. For instance, Knott and Alejandro developed a structured four-step process to guide researchers through reconceptualisation when an existing concept is misaligned with their observations.<ref name="KnottAlejandro2024" /> Their approach integrates the conventional need for clarity with a [[Reflexivity|reflexive]] attention to context to give concepts greater analytical leverage.<ref name="AlejandroKnott2022">{{cite journal |last1=Alejandro |first1=A. |last2=Knott |first2=E. |year=2022 |title=How to pay attention to the words we use: the reflexive review as a method for linguistic reflexivity |journal=International Studies Review |volume=24 |issue=3 |pages=viac025 |doi=10.1093/isr/viac025|doi-access=free }}</ref> Specifically, the process involves mapping the attributes of the original concept against the nuances of the empirical case to pinpoint misalignments and systematically build a revised concept.
One advantage of the theory theory over prototype theory is its ability to explain categorizations based on logical relations where perceptual similarity is overridden by theoretical knowledge. It also aligns with empirical research about how children learn concepts and gradually refine their understanding. Critics maintain that the holistic outlook implies that people rarely share concepts: each person has different background beliefs, meaning that their concepts do not fully coincide.<ref>{{multiref | {{harvnb|Prinz|2006|loc=§ The Theory Theory and Holism}} | {{harvnb|Weiskopf|loc=§ 3. Support for the Theory-Theory, § Objections to the Theory-Theory}} | {{harvnb|Margolis|Laurence|2003|pp=198–200}} }}</ref>


== Ideasthesia ==
[[File:Jerry Fodor in 2007.jpg|thumb|alt=Photo of a man with white hair wearing glasses|[[Jerry Fodor]] proposed conceptual atomism, arguing that lexical concepts are simple units without internal structure.<ref>{{harvnb|Carey|2009|pp=18, 247, 502–503, 508–513}}</ref>]]
{{Main|Ideasthesia}}
According to the theory of [[ideasthesia]] (or "sensing concepts"), activation of a concept may be the main mechanism responsible for the creation of phenomenal experiences. Therefore, understanding how the brain processes concepts may be central to solving the mystery of how conscious experiences (or [[qualia]]) emerge within a physical system e.g., the sourness of the sour taste of lemon.<ref name="MroczkoNikolic2014">{{Cite journal|doi = 10.3389/fnhum.2014.00509|doi-access = free|title = Semantic mechanisms may be responsible for developing synesthesia|year = 2014|last1 = Mroczko-Wä…Sowicz|first1 = Aleksandra|last2 = Nikoliä‡|first2 = Danko|journal = Frontiers in Human Neuroscience|volume = 8|page = 509|pmid = 25191239|pmc = 4137691}}</ref> This question is also known as the [[hard problem of consciousness]].<ref>Stevan Harnad (1995). Why and How We Are Not Zombies. ''Journal of Consciousness Studies'' 1: 164–167.</ref><ref>David Chalmers (1995). Facing Up to the Problem of Consciousness. ''Journal of Consciousness Studies'' 2 (3): 200–219.</ref> Research on ideasthesia emerged from research on [[synesthesia]] where it was noted that a synesthetic experience requires first an activation of a concept of the inducer.<ref>Nikolić, D. (2009) Is synaesthesia actually ideaesthesia? An inquiry into the nature of the phenomenon. Proceedings of the Third International Congress on Synaesthesia, Science & Art, Granada, Spain, April 26–29, 2009.</ref> Later research expanded these results into everyday perception.<ref name = Gomez2013>Gómez Milán, E., Iborra, O., de Córdoba, M.J., Juárez-Ramos V., Rodríguez Artacho, M.A., Rubio, J.L. (2013) The Kiki-Bouba effect: A case of personification and ideaesthesia. ''The Journal of Consciousness Studies.'' 20(1–2): pp. 84–102.</ref>


There is a lot of discussion on the most effective theory in concepts. Another theory is semantic pointers, which use perceptual and motor representations and these representations are like symbols.<ref>{{Cite journal|doi = 10.1111/cogs.12265|title = Concepts as Semantic Pointers: A Framework and Computational Model|year = 2016|last1 = Blouw|first1 = Peter|last2 = Solodkin|first2 = Eugene|last3 = Thagard|first3 = Paul|last4 = Eliasmith|first4 = Chris|journal = Cognitive Science|volume = 40|issue = 5|pages = 1128–1162|pmid = 26235459| s2cid=16809232 |doi-access = free}}</ref>
In contrast to the theory theory, conceptual or informational atomism rejects the holistic outlook. It asserts that [[Lexical item|lexical concepts]] are simple units that do not depend on each other. Accordingly, the concept ''cow'' does not depend on theories about cows or on cow-related concepts. It is simply defined through its referents: the cows to which it refers. In this sense, lexical concepts lack internal structure. This view maintains that knowledge about the relations among lexical concepts is built on concepts but is not an essential part of them. Conceptual atomism holds that besides lexical concepts, there are also complex concepts, which have an internal structure constructed from simpler concepts.<ref>{{multiref | {{harvnb|Margolis|Laurence|2003|pp=203–205}} | {{harvnb|Prinz|2006|loc=§ Informational Atomism}} | {{harvnb|Margolis|Laurence|2023|loc=§ 2.4 Conceptual Atomism}} }}</ref>


==Etymology==
[[Pluralism (philosophy)|Pluralist]] or hybrid approaches seek to resolve disagreements between other theories by combining them. According to one proposal, each concept has multiple structures that serve different roles. For instance, the prototype structure supports fast and similarity-based categorization, while the theory-like structure supports slow and reflective reasoning. A different view suggests that the different structures belong to distinct concepts. Accordingly, people form several competing concepts for each category. For example, a person may have multiple cat concepts, such as a prototype-based cat concept alongside a theory-based cat concept.<ref>{{multiref | {{harvnb|Margolis|Laurence|2023|loc=§ 2.5 Pluralism and Eliminativism}} | {{harvnb|Shea|2024|loc=§ History}} | {{harvnb|Machery|2009|pp=4–5, 52–53}} }}</ref>
The term "concept" is traced back to 1554–60 (Latin ''[[Wikt:conceptus|conceptum]]'' – "something conceived").<ref>{{cite web |url=http://www.bartleby.com/61/49/C0544900.html |title=Homework Help and Textbook Solutions &#124; bartleby |access-date=2011-11-25 |url-status=dead |archive-url=https://web.archive.org/web/20080706200201/http://bartleby.com/61/49/C0544900.html |archive-date=2008-07-06 }}The American Heritage Dictionary of the English Language: Fourth Edition.</ref>
 
=== Ontology ===
==== As mental entities ====
[[Mind]]-based theories assert that concepts are psychological constructs dependent on the cognitive capacities of individual thinkers. An influential proposal in cognitive science and philosophy of mind holds that concepts are [[mental representation]]s. According to this representational theory, the mind operates by transforming and manipulating internal representations, which in turn guide behavior. This approach treats concepts as basic representational units that constitute the building blocks for more complex states.{{efn|This view is sometimes combined with the [[language of thought hypothesis]], which argues that concepts and the rules for combining them are analogous to linguistic symbols and grammatical rules.<ref>{{harvnb|Margolis|Laurence|2023|loc=§ 1.1. Concepts as Mental Representations}}</ref>}} For example, beliefs are complex representations built from simpler components, like combining the concepts ''sky'' and ''blue'' to form the belief that the sky is blue. Whether a complex representation is a belief, a desire, or another state depends on the function it plays in the cognitive system, such as its role in [[Motivation|motivating]] action.<ref>{{multiref | {{harvnb|Margolis|Laurence|2023|loc=§ 1.1. Concepts as Mental Representations}} | {{harvnb|Margolis|Laurence|2007|pp=561–564}} }}</ref>
 
A key motivation for this approach is that it clarifies the intimate relation between concepts and [[cognition]] by treating concepts as constituents of cognition. Another argument maintains that a representation-based view is essential for explaining the productivity of thought{{em dash}}the ability to form an unlimited variety of thoughts by combining a limited number of basic ideas. One criticism of representationalism holds that many mental states do not require an active combination of internal representations. For example, many people believe facts like "zebras in the wild do not wear overcoats" without ever constructing this specific representation. Another objection asserts that representational theories rely too heavily on commonsense views of mental life as a sequence of inner representations while failing to account for [[Embodied cognition|embodied aspects of cognition]] grounded in sensorimotor engagement with the world.<ref>{{multiref | {{harvnb|Margolis|Laurence|2023|loc=§ 1.1. Concepts as Mental Representations}} | {{harvnb|Margolis|Laurence|2007|pp=563–564}} | {{harvnb|Shapiro|Spaulding|2025|loc=Lead section, § 1. The Foils and Inspirations for Embodied Cognition}} }}</ref>
 
In response to some of these criticisms, another mind-based theory characterizes concepts as [[abilities]]. According to this view, the concept ''cat'' is not an internal representation but an ability to distinguish cats from other entities and to reason about cats.<ref>{{harvnb|Margolis|Laurence|2023|loc=§ 1.2 Concepts as Abilities}}</ref>
 
==== As abstract objects ====
A different approach, termed ''[[Platonism]]'' or the ''semantic view'', characterizes concepts as [[abstract objects]]. It asserts that concepts do not depend on the individual minds that grasp them or on the things they classify. Instead, it holds that concepts exist outside [[spacetime]] and have neither [[Causality|causes nor effects]]. Accordingly, a concept can exist even if no one has ever thought of it. This view commonly identifies concepts with the meanings of words, maintaining that they mediate between thought and language. It distinguishes between the sense of a concept (the idea it expresses) and its reference (the entities it refers to). This outlook maintains that abstract objects ground the sense even if there is no reference, as is the case with empty concepts like ''Pegasus''.<ref>{{multiref | {{harvnb|Earl|loc=§ 2. Tasks for an Overall Theory of Concepts}} | {{harvnb|Margolis|Laurence|2023|loc=§ 1.3 Concepts as Abstract Objects}} | {{harvnb|Margolis|Laurence|2007|pp=561, 564–566}} }}</ref>
 
One argument for Platonism asserts that this view is essential for explaining how different people can share the same ideas despite having distinct minds: concepts act as publicly available meanings that different thinkers can independently access. One difficulty is to explain how this access works: if concepts are non-spatiotemporal abstracta, it is unclear how minds can relate to them, understand them, and reason with them.<ref>{{multiref | {{harvnb|Earl|loc=§ 2. Tasks for an Overall Theory of Concepts}} | {{harvnb|Margolis|Laurence|2007|pp=564–566, 580–581}} }}</ref>
 
=== Others ===
[[File:John Locke (cropped; square).jpg|thumb|alt=Oil painting of a man with gray hair wearing a brown attire|[[John Locke]] held that the infant mind is a blank slate that depends on sensory experience to acquire concepts.<ref>{{multiref | {{harvnb|Laurence|Margolis|2024|pp=1–6}} | {{harvnb|Samet|Zaitchik|2017|loc=Lead section}} | {{harvnb|Margolis|Laurence|2023|loc=§ 3. Empiricism and Nativism about Concepts}} }}</ref>]]
Eliminativism about concepts is the view that, strictly speaking, there are no concepts. This view accepts the existence of cognitive processes involved in categorization, inference, and mental representation. However, it rejects the idea of concepts as a unified mechanism that underpins all these activities. Instead, it posits a variety of overlapping capacities that explain the different functions. For example, an eliminativist may accept prototype-based, exemplar-based, and theory-based mechanisms, while denying that they have enough in common to constitute a unified psychological kind called ''concept''.<ref>{{multiref | {{harvnb|Margolis|Laurence|2023|loc=§ 2.5 Pluralism and Eliminativism}} | {{harvnb|Machery|2009|pp=4–5, 219–220, 245–246}} }}</ref>
 
[[Empiricism]] and [[Psychological nativism|nativism]] (also called ''[[rationalism]]'') are competing theories about the origin of concepts. According to empiricism, all concepts are learned from [[experience]]. This view follows [[John Locke]]'s metaphor of the infant mind as a [[blank slate]], meaning that all conceptual knowledge is acquired through experience as the mind generalizes incoming sensory data to form abstract ideas. Nativism acknowledges that some concepts are learned from experience but argues that this is not true for all concepts. One form of nativism proposes that certain fundamental concepts presupposed by many cognitive processes are [[Innatism|innate]] and need not be learned, such as the concepts ''object'', ''agent'', ''number'', and ''space''.<ref>{{multiref | {{harvnb|Laurence|Margolis|2024|pp=1–6}} | {{harvnb|Samet|Zaitchik|2017|loc=Lead section}} | {{harvnb|Margolis|Laurence|2023|loc=§ 3. Empiricism and Nativism about Concepts}} }}</ref>{{efn|The debate between empiricism and nativism is not limited to concepts and also engages other domains, such as discussions about inborn knowledge and linguistic capacities.<ref>{{harvnb|Samet|Zaitchik|2017|loc=Lead section}}</ref>}}
 
Theories of concept [[individuation]] discuss the conditions under which two concepts are identical. Reference-based theories focus on extensions, asserting that concepts are identical if they refer to the same entities. Internalist theories, by contrast, hold that two concepts can differ regarding their internal functions even if they refer to the same entities. For example, inference-based accounts, such as [[inferential role semantics]], compare the roles that concepts play in patterns of inferences. Two-factor theories combine both approaches, arguing that concepts have both external and internal components.<ref>{{multiref | {{harvnb|Rey|1998|loc=§ 4. Referential Views, § 5. Possession Conditions: External v. Internal, § 7. Inferential roles and prototypes, § 9. Difficulties for an Internalist Approach, § 10. Two-factor Theories and a Modified Classical View}} | {{harvnb|Carey|2009|pp=5, 489, 503–504, 528}} | {{harvnb|Carey|2011|pp=113–114}} }}</ref>
 
=== History ===
Research into the nature of concepts originated in [[Ancient history|antiquity]]. In [[ancient Greek philosophy]], [[Plato]] (428–348 BCE) argued for the existence of [[Theory of Forms|abstract forms]] outside the sensory realm that unify many concrete instances under a single concept.<ref>{{multiref | {{harvnb|Earl|loc=§ 2. Tasks for an Overall Theory of Concepts}} | {{harvnb|Marradi|2012|pp=32–33}} | {{harvnb|Bostock|2005|p=310}} }}</ref> His student [[Aristotle]] (384–322 BCE) maintained that forms exist within concrete entities rather than separately. He also explored how concepts form categorical hierarchies that organize particulars into genera and species based on shared features.<ref>{{multiref | {{harvnb|Goguen|2005|pp=53–54, 56–57}} | {{harvnb|Marradi|2012|pp=30, 33–34}} | {{harvnb|Earl|loc=§ 2a. The Metaphysics of Concepts}} }}</ref>
 
The distinction between conceptual and nonconceptual experience played a central role in [[Buddhist philosophy|Buddhist thought]]. For example, [[Abhidharma]] philosophy regards nonconceptual experience as the apprehension of pure sensory qualities, while conceptual experience involves recognizing objects through mental labels.<ref>{{harvnb|Thompson|2023|pp=165–170}}</ref> In [[Hindu philosophy]], the [[Nyaya]] school explored the role of concepts in perception for recognizing and identifying things, distinguishing between nonverbal awareness of raw sensation and concept-based cognition.<ref>{{harvnb|Maitra|2017|pp=[https://books.google.com/books?id=WasmDwAAQBAJ&pg=PA381 381–382]}}</ref> A central topic in early [[Chinese philosophy|Chinese epistemology]] was the relation between names or concepts and real entities, including the question of how to establish a stable alignment between the two.<ref>{{harvnb|Rošker|2025|loc=§ 1.2 Names and Actualities, Language and Meaning}}</ref>
 
In [[Medieval philosophy|medieval Western thought]], philosophers debated the [[problem of universals]], asking whether universal entities [[Philosophical realism#Medieval philosophy|exist independently of particular things]], as [[Conceptualism|concepts in individual minds]], or merely as [[Nominalism|names without reality outside language]].<ref>{{multiref | {{harvnb|Earl|loc=§ 2. Tasks for an Overall Theory of Concepts}} | {{harvnb|Peifer|2003|loc=§ Nature and Kinds of Concept}} | {{harvnb|Klima|2022|loc=Lead section}} }}</ref> Influenced by Aristotle, [[Thomas Aquinas]] (1225–1274 CE) held that the senses perceive concrete particulars, while the intellect forms universal concepts used for judgments and reasoning.<ref>{{harvnb|Pasnau|2024|loc=§ 6.2 Thought}}</ref> In the [[Islamic philosophy|Arabic-Persian tradition]], [[Avicenna]] (980–1037 CE) held that [[essence]]s (i.e., what something is) can exist in the external world as qualities of particular things, in the mind as concepts grasping those qualities, and in themselves apart from external things and minds.<ref>{{harvnb|Rizvi|loc=§ 5. Ontology}}</ref>
 
[[Early modern philosophy|Early modern philosophers]] discussed concepts as ideas that function as general mental representations. [[Rationalism|Rationalists]], like [[René Descartes]] (1596–1650) and [[Gottfried Wilhelm Leibniz]] (1646–1716), argued that some ideas are innate and do not depend on sensory experience. [[Empiricism|Empiricists]], such as [[John Locke]] (1632–1704) and [[David Hume]] (1711–1776), rejected this idea, asserting that the mind begins as a [[blank slate]] and acquires all ideas about the world from experience.<ref>{{multiref | {{harvnb|Earl|loc=§ 1b. Analysis of Concepts, § 3. Theories of Concepts}} | {{harvnb|Samet|Zaitchik|2017|loc=§ 1.1.3 Nativism as Natural Science, § Concluding remarks: Nativism and Rationalism}} }}</ref> [[Immanuel Kant]] (1724–1804) understood concepts as rules for organizing experience. According to him, only the fundamental concepts of understanding, called ''[[Category (Kant)|categories]]'', are inborn.<ref>{{multiref | {{harvnb|Hartnack|2001|p=[https://books.google.com/books?id=CZ3o31KEUikC&pg=PA62 62]}} | {{harvnb|Melnick|2008|p=[https://books.google.com/books?id=vGGRAgAAQBAJ&pg=PA76 76]}} | {{harvnb|Sokolowski|2008|pp=[https://books.google.com/books?id=NIEJt5afhwgC&pg=PA51 51–52]}} }}</ref> [[Georg Wilhelm Friedrich Hegel]] (1770–1831) rejected the view that concepts are merely mental constructs, arguing instead that they are fundamental structures of thought and reality, transcending the divide between [[Subjectivity and objectivity (philosophy)|subjectivity and objectivity]].<ref>{{harvnb|Magee|2010|pp=[https://books.google.com/books?id=khvwPJMzNzMC&pg=PA58 58–60]}}</ref>
 
[[Wilhelm Wundt]] (1832–1920), the father of [[experimental psychology]], used [[introspection]] to study the basic components of concepts and the rules for how they can be combined.<ref>{{harvnb|Kendler|Kendler|2008|loc=§ Historical Introduction}}</ref> [[Behaviorism|Behaviorists]], such as [[Clark L. Hull]] (1884–1952), rejected the introspective method, focusing instead on how concepts shape observable behavior.<ref>{{multiref | {{harvnb|Kendler|Kendler|2008|loc=§ Historical Introduction, § Discrimination Learning as a Model}} | {{harvnb|Bruner|Goodnow|Austin|2017|loc=§ 3. The Process of Concept Attainment}} }}</ref> In [[developmental psychology]], [[Jean Piaget]] (1896–1980) analyzed how children acquire concepts [[Piaget's theory of cognitive development|in a series of stages]] moving from concrete to abstract reasoning.<ref>{{multiref| {{harvnb|Kendler|Kendler|2008|loc=Lead section, § Natural Development}} | {{harvnb|Bernstein|Nash|2006|pp=349–350}} }}</ref> [[Jerome S. Bruner]] (1915–2016), [[Jacqueline Jarrett Goodnow|Jacqueline J. Goodnow]] (1924–2014), and George A. Austin applied experimental methods to the problem of concept attainment, analyzing the cognitive mechanisms through which individuals learn novel categories.<ref>{{multiref | {{harvnb|Billman|1996|p=285}} | {{harvnb|Bruner|Goodnow|Austin|2017|loc=§ 1. Introduction}} }}</ref> [[Susan Carey]] (born 1942) proposed Quinean bootstrapping as one such mechanism to explain how individuals rely on preexisting conceptual resources to acquire genuinely new concepts.<ref>{{multiref | {{harvnb|Carey|2011|pp=120–122}} | {{harvnb|American Psychological Association|2018a}} }}</ref>
 
[[File:Eleanor Rosch (cropped).jpg|thumb|alt=Photo of a woman with long grey hair|[[Eleanor Rosch]] suggested prototype theory as an alternative to the classical theory.<ref>{{multiref | {{harvnb|Weiskopf|loc=§ Background}} | {{harvnb|Shanker|2002|pp=188, 196–197}} }}</ref>]]
 
[[Gottlob Frege]] (1848–1925) analyzed the meaning content of concepts in terms of [[sense and reference]], distinguishing the ideas they express from the entities they refer to.<ref>{{multiref | {{harvnb|Laurence|Margolis|1999|pp=3–7}} | {{harvnb|García-Ramírez|2014|loc=§ 1. Setup}} }}</ref> While the roots of [[conceptual analysis]] trace back to [[Socrates]] (470–399 BCE), it came to central prominence in 20th-century [[analytic philosophy]] as the method of identifying the necessary and sufficient components of concepts, popularized by philosophers such as [[G. E. Moore]] (1873–1958).<ref>{{multiref | {{harvnb|Glock|2017|pp=77–79}} | {{harvnb|Boundas|2007|pp=[https://books.google.com/books?id=-zpQRLlmMWkC&pg=PA7 7–8]}} }}</ref> [[Rudolf Carnap]] (1891–1970) criticized the imprecision of concepts inherited from [[natural language]]. He proposed [[conceptual engineering]] to create improved concepts as superior tools for scientific and philosophical inquiry.<ref>{{harvnb|Leitgeb|Carus|2025|loc=§ 1.1 Rational Reconstruction and Explication}}</ref>
 
In his later philosophy, [[Ludwig Wittgenstein]] (1889–1951) analyzed concepts in terms of [[family resemblance]] without precise definitions, challenging the classical theory of concepts.<ref>{{multiref | {{harvnb|Shanker|2002|pp=185–188}} | {{harvnb|Murphy|2002|pp=17–18, 499–500}} }}</ref> His work influenced [[Eleanor Rosch]] (born 1938), who proposed prototype theory as a replacement of the classical theory.<ref>{{multiref | {{harvnb|Weiskopf|loc=§ Background}} | {{harvnb|Shanker|2002|pp=188, 196–197}} }}</ref> In response, [[Douglas Medin]] (born 1944) and Marguerite M. Schaffer developed exemplar theory, which emphasizes the role of concrete individual memories in contrast to prototypical summary representations.<ref>{{harvnb|Murphy|2002|pp=49–50}}</ref> [[Thomas Kuhn]]'s (1922–1996) account of scientific [[paradigm shift]]s inspired theory theory, according to which concepts are embedded in domain-specific theories that guide categorization and prediction.<ref>{{harvnb|Weiskopf|loc=§ 2a. Origins of the View}}</ref> [[Noam Chomsky]] (born 1928) argued that humans possess innate capacities that shape the conceptual organization of linguistic knowledge. His student [[Jerry Fodor]] (1935–2017) proposed conceptual atomism, according to which lexical concepts are simple units without internal structure.<ref>{{harvnb|Carey|2009|pp=18, 247, 502–503, 508–513}}</ref> Other developments in the 20th and 21st centuries include the use of [[neuroscientific]] methods to study concepts and approaches in [[computer science]] and [[machine learning]] to model category learning and [[Knowledge representation|representation]].<ref>{{multiref | {{harvnb|Shea|2024|loc=§ Sense and Reference, § Questions, Controversies, and New Developments}} | {{harvnb|Sammut|2011|pp=[https://books.google.com/books?id=i8hQhp1a62UC&pg=PA205 205–208]}} }}</ref>
 
== Formation and learning ==
{{main|Concept learning}}
Concept formation is the acquisition of a new concept. It enables individuals to organize their [[experience]] and use the concept in [[Cognition|cognitive processes]]. Concept formation happens as people recognize similarities and regularities in the world, identify common features, and group instances into mental classes.<ref>{{multiref | {{harvnb|Levering|Kurtz|2019|pp=56–57}} | {{harvnb|Bruner|Goodnow|Austin|2017|loc=§ 3. The Process of Concept Attainment}} }}</ref>
 
One key aspect is learning to categorize entities and predict the class membership of new instances. For example, learning the concept ''fresh vegetable'' involves recognizing fresh vegetables when encountering them and being able to distinguish them from stale ones. Another aspect concerns information about the concept and its relations to other concepts, such as knowing that fresh vegetables grow from plants and are perishable. Accordingly, learners need to understand what it means for an entity to belong to a category and how to reason with this information to draw inferences. From a [[Behaviorism|behaviorist]] perspective, concept learning is about generalizing stimuli and acquiring relevant [[Stimulus–response model|stimulus–response]] patterns. For instance, learning the concept ''red'' involves, among other things, a tendency to respond differently to red objects than to green ones.<ref>{{multiref | {{harvnb|Kendler|Kendler|2008|loc=Lead section, § Discrimination Learning as a Model}} | {{harvnb|Margolis|Laurence|2023|loc=Lead section, § 1.2 Concepts as Abilities}} | {{harvnb|Billman|1996|pp=283–290}} | {{harvnb|Bruner|Goodnow|Austin|2017|loc=§ 3. The Process of Concept Attainment}} }}</ref>
 
Some theorists distinguish concept formation from concept attainment as two stages in the process of mastering concepts. According to this view, concept formation is about dividing entities into classes. Concept attainment is about identifying features through which one can reliably decide whether an entity belongs to a class. For example, grasping the basic idea of the concept ''edible mushroom'' belongs to concept formation, whereas learning to discriminate between edible and inedible mushrooms based on color, shape, and size belongs to concept attainment.<ref>{{multiref | {{harvnb|Bruner|Goodnow|Austin|2017|loc=§ Learning to Categorize}} | {{harvnb|Kent|Lancour|1971|p=[https://books.google.com/books?id=dvWkHF_6NAgC&pg=PA589 589]}} }}</ref> A different terminology uses the expression ''[[discrimination learning]]'' for the ability to distinguish concrete features, like size and shape, and reserves the expression ''concept formation'' for abstract rules that are not directly observable.<ref>{{harvnb|Hunt|2024|loc=Lead section, § Experimental Studies}}</ref>
 
=== Learning mechanisms and situations ===
Several learning mechanisms underlie concept acquisition. [[Associative learning]] is based on typical features of a certain type of entity. As learners are repeatedly exposed to instances, they notice similarities and gradually strengthen connections between cues and categories. This process typically yields graded categorization, in which learners associate some entities more closely with a concept than others, like a [[House sparrow|sparrow]] as a more typical member of the concept ''bird'' than a [[penguin]]. Concepts formed this way tend to lack an exact line demarcating where the concept begins or ends. [[Hypothesis]] testing is another mechanism in which learners propose precise rules for class membership. They test and revise these rules as they encounter new instances, improving their mastery of a concept. The learning mechanism employed may depend on the type of concept: hypothesis testing is linked to logical concepts with exact boundaries, whereas associative learning is connected to natural concepts with fuzzy boundaries.<ref>{{multiref | {{harvnb|Davey|Sterling|Field|2014|p=[https://books.google.com/books?id=DJWbBAAAQBAJ&pg=PA223 223–225]}} | {{harvnb|Murphy|2002|loc=§ Feature Correlations in Concepts}} | {{harvnb|Medin|Abn|Wisniewski|2003|loc=§ How Are Concepts Acquired?}} }}</ref> Quinean bootstrapping, a different proposed mechanism, seeks to explain the acquisition of genuinely new concepts, such as concepts about which learners initially cannot state a hypothesis because they lack the required representational resources. This view asserts that individuals create mental placeholders and approximate these placeholders with familiar concepts until a genuinely new concept is grasped.<ref>{{multiref | {{harvnb|Carey|2011|pp=120–122}} | {{harvnb|American Psychological Association|2018a}} }}</ref>{{efn|Another approach relies on [[Bayesianism]] and models concept learning in terms of [[Bayesian probability|probabilistic]] beliefs where accurate beliefs about concept membership are reinforced while wrong ones are weakened.<ref>{{harvnb|Tenenbaum|1998|pp=59–62}}</ref>}}
 
Concept formation is also influenced by the learning situation in which it happens. In [[supervised learning]], the learner receives immediate feedback on concept use. This is the case when a child labels animals during a zoo visit and a parent confirms or corrects each label. Feedback is absent in [[unsupervised learning]], such as forming concepts of different music genres without explicit labels or guidance. Semisupervised learning is an intermediate form with occasional feedback. Supervision with labeled examples is central when learning to distinguish between similar categories that are easily conflated without corrective feedback. Another distinction is between [[Self-directed learning|self-directed]] and other-directed learning based on whether the learner chooses which concepts to explore. Increased engagement in self-directed learning typically makes it more effective.<ref>{{multiref | {{harvnb|Levering|Kurtz|2019|pp=60–63}} | {{harvnb|Murphy|2002|pp=126, 133, 163–164, 286}} }}</ref> Other classifications of learning situations include observational learning, inference learning, and indirect learning. Observational learning involves exposure to pre-paired instances and labels without active guessing. Inference learning focuses on additional knowledge besides the ability to categorize. In indirect learning, concepts are acquired while performing other tasks that require categorization to achieve their goals.<ref>{{harvnb|Levering|Kurtz|2019|pp=60–63}}</ref>
 
Another research topic examines [[Cognitive bias|biases]] in concept formation, targeting typical errors that learners are prone to make. The [[confirmation bias]] happens when learners focus on positive instances to support their hypotheses about a concept while ignoring negative instances that would contradict them.<ref>{{harvnb|Davey|Sterling|Field|2014|p=[https://books.google.com/books?id=DJWbBAAAQBAJ&pg=PA224 224–225]}}</ref> Other biases include the learning tendencies to focus on a small set of related features and to seek consistent contrasts between subtypes within the same category.<ref>{{harvnb|Billman|1996|pp=316–318}}</ref> Learning success also depends on the type of concept that is being learned. For example, concrete concepts tied to sensory experience are easier to learn than abstract concepts lacking tangible referents.<ref>{{multiref | {{harvnb|Dove|2022|pp=[https://books.google.com/books?id=4dV2EAAAQBAJ&pg=PA4 4–6]}} | {{harvnb|Rosenberg|2019|pp=[https://books.google.com/books?id=O4WZDwAAQBAJ&pg=PA241 241–242]}} | {{harvnb|Klausmeier|2013|pp=[https://books.google.com/books?id=cMvwdraULp0C&pg=PA94 94–95]}} | {{harvnb|Carey|2009|pp=8, 493, 522}} }}</ref> For complex concepts formed of several parts, [[Logical conjunction|conjunctive]] categories that require several features together (e.g., ''large and green'') are easier to learn than [[Logical disjunction|disjunctive]] categories that require any one of multiple features (e.g., ''large or green'').<ref>{{harvnb|Hunt|2024|loc=§ Experimental Studies}}</ref>
 
=== Children, animals, and artificial intelligence ===
[[File:Jean Piaget in Ann Arbor (cropped).png|thumb|alt=Photo of a man with white hair and glasses, wearing a suit|[[Jean Piaget]] analyzed how children acquire concepts [[Piaget's theory of cognitive development|in a series of stages]] moving from concrete to abstract reasoning.<ref>{{multiref| {{harvnb|Kendler|Kendler|2008|loc=Lead section, § Natural Development}} | {{harvnb|Bernstein|Nash|2006|pp=349–350}} }}</ref>]]
Concept formation starts early in life as [[infants]] form categories, generalize repeated patterns, and group similar objects together. The mechanisms of conceptual learning in childhood are overall similar to those in adults, but children typically focus more on concrete concepts, guided by a prototype-based understanding. Mastering a new concept often takes longer for children, in part because they have less prior knowledge and have encountered fewer instances in their limited experience. Limitations in [[working memory]] are another factor, making it more difficult to grasp atypical cases. For example, this makes it difficult for children to understand that [[dolphin]]s are not fish. An influential approach to [[Developmental psychology|cognitive development]] was proposed by [[Jean Piaget]], who divided the development from birth to adulthood into [[Piaget's theory of cognitive development|four stages]], characterized by an increasing capacity for abstract conceptual thought.<ref>{{multiref | {{harvnb|Murphy|2002|pp=3, 14–15, 314–315, 375–377}} | {{harvnb|Kendler|Kendler|2008|loc=Lead section, § Natural Development}} | {{harvnb|Bernstein|Nash|2006|pp=349–350}} }}</ref>
 
Researchers also examine [[Animal cognition|concept formation in animals]]. This typically happens by presenting animals with discrimination tasks in which they must apply generalized rules to receive rewards. For example, dogs can be trained to respond to commands like ''sit'' and ''come''. More complex abilities have been shown in [[chimpanzees]], which can learn and communicate using simple [[sign languages]]. There are academic disagreements about the extent to which learned classification behavior in animals amounts to concept formation rather than more basic [[Operant conditioning|conditioning]] through stimulus–response pairings.<ref>{{multiref | {{harvnb|Hunt|2024|loc=§ Concept Formation in Animals}} | {{harvnb|Zentall|Wasserman|Urcuioli|2014|loc=Lead section}} }}</ref>
 
The problem of concept formation is also encountered in [[machine learning]], a field of [[artificial intelligence]]. In this context, concept formation is about constructing a model that can categorize an entity based on information provided about it. [[Learning algorithms]] automatically build models by processing data in the form of a training set and extract rules that underlie the classification. After identifying and generalizing patterns in the training set, systems are able to classify novel instances not encountered before{{em dash}}an ability that can guide [[automatic decision-making]].<ref>{{multiref | {{harvnb|Sammut|2011|pp=[https://books.google.com/books?id=i8hQhp1a62UC&pg=PA205 205–208]}} | {{harvnb|Hunt|2024|loc=§ Concept Formation by Machine}} }}</ref>
 
== In various fields ==
Because of their central role in human cognition, concepts are relevant to many fields, including [[psychology]], [[philosophy]], and [[linguistics]].<ref>{{harvnb|Earl|loc=Lead section}}</ref>
 
=== Psychology ===
Psychology typically conceives concepts as [[mental representation]]s that individuals use to categorize entities, organize experience, and guide reasoning.<ref>{{multiref | {{harvnb|Frixione|Lieto|2014|pp=3–4}} | {{harvnb|Machery|2009|pp=7–8}} | {{harvnb|Bernstein|Nash|2006|pp=250–251}} }}</ref> It is interested in how concepts shape diverse cognitive processes and behavior. Concepts influence how [[perception]] interprets sensory stimuli and draws attention toward category-relevant features. They help [[memory]] encode, store, and retrieve information efficiently by linking it to specific ideas or categories. As the basic units of [[thought]], concepts structure how the mind forms and combines ideas and processes this information through [[Logical reasoning|reasoning]]. They guide [[decision-making]] by framing distinct courses of action and shaping expectations about likely consequences.<ref>{{multiref | {{harvnb|Solomon|Medin|Lynch|1999|pp=99–100}} | {{harvnb|Shea|2024|loc=Lead section, § Core Concepts}} | {{harvnb|Murphy|2002|pp=1–3}} | {{harvnb|Levering|Kurtz|2019|pp=64–65}} }}</ref>
 
Psychologists are also interested in the structure of concepts and the cognitive mechanisms that underlie conceptual activity. They distinguish between rule-based approaches, which treat concepts as definitions composed of necessary and sufficient rules, and prototype- or exemplar-based approaches, which analyze concepts in terms of typical features or remembered examples. A related set of questions asks whether concepts are grasped independently of each other or form interlinked patterns.<ref>{{multiref | {{harvnb|Murphy|2002|pp=11–15, 41–42, 49–50}} | {{harvnb|Prinz|2006|loc=§ The Classical Theory, § Prototype Theory, § The Theory Theory and Holism, § Informational Atomism}} | {{harvnb|Levering|Kurtz|2019|pp=64–65}} }}</ref>
 
Another topic in psychology concerns how people [[Concept learning|acquire new concepts]] and which learning mechanisms govern this process. This includes the study of the influence of [[cognitive biases]] and [[Cognitive disorder|disorders]] of conceptual activity.<ref>{{multiref | {{harvnb|Levering|Kurtz|2019|pp=64–65}} | {{harvnb|Davey|Sterling|Field|2014|p=[https://books.google.com/books?id=DJWbBAAAQBAJ&pg=PA223 223–225]}} | {{harvnb|Kleiger|2012|pp=[https://books.google.com/books?id=rfOHckZE9A8C&pg=PA5 5–6]}} }}</ref> [[Developmental psychology|Developmental psychologists]] examine how the ability to learn and use concepts evolves from [[childhood]] to [[adulthood]].<ref>{{multiref | {{harvnb|Kendler|Kendler|2008|loc=Lead section, § Natural Development}} | {{harvnb|Murphy|2002|pp=3, 14–15, 314–315, 375–377}} }}</ref> [[Personality psychology|Personality psychologists]] are interested in the [[self-concept]], which includes self-description and self-evaluation, explaining [[Personal identity|a person's sense of identity over time]] and consistency of behavior.<ref>{{multiref | {{harvnb|American Psychological Association|2018}} | {{harvnb|Sherif|2008|loc=Lead section, § A Characterization of Self Concept}} }}</ref>
 
Psychologists use several empirical methods to gather data and support their theories. [[Experiment|Experimental]] methods observe individuals in controlled situations. They vary specific factors within these situations to explore how these changes affect individuals. [[Correlation]]al methods use observation and survey data to detect links among traits or behaviors without establishing [[Causality|cause-effect relations]]. Early approaches relied on [[introspection]] to examine the contents of thought from a first-person perspective, but the results were unreliable. This method was gradually replaced with third-person approaches with more emphasis on the observation of behavior.<ref>{{multiref | {{harvnb|Balota|Watson|2000|pp=158–162}} | {{harvnb|Hood|2013|pp=1314–1315}} | {{harvnb|Kendler|Kendler|2008|loc=§ Historical Introduction}} }}</ref>
 
=== Philosophy ===
Philosophers are interested in the nature of concepts, discussing their definition and essential features. Some propose that concepts are psychological entities{{em dash}}mental representations or abilities residing in individual minds. Others regard concepts as [[abstract objects]] whose existence is independent of human cognition. Because of their nature as general entities that act as categories, concepts raise the [[problem of universals]]: whether or in what sense there are universal entities in addition to the particular entities they classify.<ref>{{multiref | {{harvnb|Earl|loc=§ 2. Tasks for an Overall Theory of Concepts}} | {{harvnb|Margolis|Laurence|2007|pp=561–562}} | {{harvnb|Margolis|Laurence|2023|loc=Lead section, 1. The Ontology of Concepts}} }}</ref>
 
[[File:Rudolf Carnap 1930 cropped.jpeg|thumb|alt=Photo of a man with short hair wearing glasses|[[Rudolf Carnap]] proposed conceptual engineering as a philosophical method to create precise concepts.<ref>{{harvnb|Leitgeb|Carus|2025|loc=§ 1.1 Rational Reconstruction and Explication}}</ref>]]
 
Concepts also play a key role in the method of [[conceptual analysis]].{{efn|Conceptual analysis is commonly regarded as one of several approaches to philosophy, but some schools see it as the only such method.<ref>{{multiref | {{harvnb|Shaffer|2015|pp=555–556}} | {{harvnb|D'Oro|Overgaard|2017|pp=1–5}} }}</ref>}} This method addresses philosophical problems by examining the meanings of concepts, such as [[knowledge]], [[justice]], and [[beauty]]. It seeks to identify their components or the necessary and sufficient conditions that govern their proper use. For example, one influential analysis of the concept ''knowledge'' identifies three essential components, characterizing it as justified true belief. To confirm or refute such analysis, philosophers use [[intuition]]s, [[thought experiments]], and counterexamples to test whether the suggested conditions capture the meaning of the concept and apply to all of its instances.<ref>{{multiref | {{harvnb|Shaffer|2015|pp=555–556}} | {{harvnb|Margolis|Laurence|2023|loc=Lead section, § 5. Concepts and Conceptual Analysis}} }}</ref>
 
[[Conceptual engineering]], another concept-based methodology, adopts a more creative approach: it does not merely describe existing concepts but proposes to refine or improve them. Its core motivation is that concepts should be designed to fulfill key philosophical functions rather than adhere rigidly to preexisting linguistic norms. Conceptual engineering can also result in the creation of entirely new concepts to capture novel ideas.<ref>{{multiref | {{harvnb|Chalmers|2025|loc=Lead section , § What is Conceptual Engineering?}} | {{harvnb|Köhler|Veluwenkamp|2024|loc=§ 1. Introduction, § 2. The Functional Turn}} }}</ref>
 
Another philosophical topic addresses how [[conceptual scheme]]s shape a person's perspective on the world. A conceptual scheme is a set of interrelated concepts that organizes experience and meaning-making. It raises the question of whether different individuals or [[cultures]] have fundamentally different experiences of reality and whether there is an objective reality, an idea opposed by some forms of [[relativism]].<ref>{{multiref | {{harvnb|Davidson|1973|pp=5–7}} | {{harvnb|Blackburn|2008}} }}</ref> A related issue in the [[philosophy of science]] concerns [[theory-ladenness]]: the idea that scientific observation and interpretation of [[Empirical evidence|empirical data]] are influenced by the theoretical frameworks on which scientists rely.<ref>{{multiref | {{harvnb|Andersen|Green|2013|pp=2165–2167}} | {{harvnb|Boyd|Bogen|2026|loc=Lead section, § 1. Introduction}} }}</ref>
 
=== Linguistics ===
Concepts play a central role in linguistics as the meanings of expressions. [[Lexical semantics]] is a subfield that focuses on the meanings of individual words. It explores [[lexical relations]] between words, for example, whether two words are [[synonyms]] by referring to the same concept or [[antonyms]] by referring to opposed concepts.<ref>{{multiref | {{harvnb|Geeraerts|2017|loc=Lead Section, § 1. The Descriptive Scope of Lexical Semantics}} | {{harvnb|Pustejovsky|2009|p=476}} | {{harvnb|Márquez|2011|pp=[https://books.google.com/books?id=TkKVwYcG8Q4C&pg=PA146 146–147]}} | {{harvnb|Taylor|2017|pp=[https://www.cambridge.org/core/books/abs/cambridge-handbook-of-cognitive-linguistics/lexical-semantics/798AB6901B9AD5B0AC42C94A52EC8ECF 246–247]}} }}</ref> Lexical semantics is further subdivided into semasiology and [[onomasiology]], which differ in their direction of inquiry: semasiology starts from a word and examines its meanings, while onomasiology starts from a meaning and investigates how it is expressed in a particular language.<ref>{{multiref | {{harvnb|Geeraerts|2017|loc=§ 1. The Descriptive Scope of Lexical Semantics}} | {{harvnb|Noth|1990|p=106}} | {{harvnb|Taylor|2017|pp=[https://www.cambridge.org/core/books/abs/cambridge-handbook-of-cognitive-linguistics/lexical-semantics/798AB6901B9AD5B0AC42C94A52EC8ECF 246–247]}} }}</ref> Going beyond the meanings of individual words, [[Principle of compositionality|compositional semantics]] studies how several words combine to express complex meanings.<ref>{{harvnb|Jacobson|2014|pp=[https://books.google.com/books?id=rnxYCwAAQBAJ&pg=PA3 3–5]}}</ref>
 
[[Cognitive semantics]], another branch, examines how language and meaning are grounded in human cognition.<ref>{{multiref | {{harvnb|Li|2021}} | {{harvnb|Taylor|2009|pp=73–74}} | {{harvnb|Croft|Cruse|2004|pp=[https://books.google.com/books?id=I6Z9H-eRSgoC&pg=PA1 1–3]}} }}</ref> It is closely related to [[conceptual semantics]], which studies the cognitive structure of concepts and how they connect thought, perception, and action.<ref>{{multiref | {{harvnb|Riemer|2010|pp=261–263}} | {{harvnb|Jackendoff|2011|p=688}} }}</ref> The interrelation between thought and language is also the topic of the [[Whorfian hypothesis]], which proposes that language shapes thought patterns and that speakers of different languages think differently.<ref>{{multiref | {{harvnb|Margolis|Laurence|2023|loc=§ 4.3 Linguistic Determinism and Linguistic Relativity}} | {{harvnb|Eysenck|Keane|2015|loc=§ Part III: Language, § Whorfian Hypothesis}} | {{harvnb|Davey|Sterling|Field|2014|p=[https://books.google.com/books?id=DJWbBAAAQBAJ&pg=PA204 204]}} }}</ref> A related issue in the [[philosophy of language]] asks whether concepts or language are more basic and whether one can exist without the other.<ref>{{harvnb|Margolis|Laurence|2023|loc=§ 4. Concepts and Natural Language}}</ref>
 
[[Semantic similarity]], another topic in linguistics, is a way of measuring the similarity between semantic contents. For example, the concepts ''tea'' and ''coffee'' have high semantic similarity because they share many features.<ref>{{multiref | {{harvnb|Harispe|Ranwez|Janaqi|Montmain|2022|pp=14–16}} | {{harvnb|Chandrasekaran|Mago|2022|pp=1–2}} }}</ref> Conceptual distance, a related metric, measures the distance between sets of concepts, indicating how difficult it is to understand a topic across disciplines.<ref>{{harvnb|Gray|Rumpe|2019|pp=1571–1573}}</ref>
 
=== Other fields ===
[[File:1206 FMRI.jpg|thumb|alt=fMRI image showing the brain from a top view with active areas colored in orange|upright=0.7|[[Functional magnetic resonance imaging|fMRI]] is a neuroimaging technique that can measure regional brain activity associated with conceptual processes.<ref>{{multiref | {{harvnb|Shea|2024|loc=§ Questions, Controversies, and New Developments}} | {{harvnb|Wang|Zhang|Zhang|Sun|2022|pp=11807–11808}} }}</ref>]]
 
[[Neuroscience|Neuroscientists]] examine how concepts are stored and used in the brain. Among other things, they explore which [[brain regions]] encode concepts and how damage to specific areas influences conceptual activities. A key research method is the use of [[neuroimaging]] techniques, such as [[functional magnetic resonance imaging]] (fMRI), to study region-specific brain activity, often combined with behavioral analyses to link neural activation patterns with task performance.<ref>{{multiref | {{harvnb|Shea|2024|loc=§ Questions, Controversies, and New Developments}} | {{harvnb|Wang|Zhang|Zhang|Sun|2022|pp=11807–11808}} }}</ref>{{efn|For example, [[connectionism]] interprets concepts as patterns of activation in [[neural networks]].<ref>{{harvnb|Prinz|2006|loc=§ Some Issues of Controversy}}</ref>}}
 
Researchers in [[computer science]] and [[artificial intelligence]] are interested in concepts as formal structures involved in [[knowledge representation]] and [[automated reasoning]]. They treat concepts as models used to categorize entities and encode information about them. To describe systems with many entities, they employ [[Ontology (information science)|formal ontologies]], such as the [[Suggested Upper Merged Ontology]], which are comprehensive conceptual hierarchies that formalize relationships between concepts. The field of [[machine learning]] investigates [[algorithms]] that can generalize data from [[training set]]s to create and employ novel models of concepts.<ref>{{multiref | {{harvnb|Sammut|2011|pp=[https://books.google.com/books?id=i8hQhp1a62UC&pg=PA205 205–208]}} | {{harvnb|Grütter|Bauer-Messmer|2007|p=[https://books.google.com/books?id=-mv0098rs-oC&pg=PA350 350]}} | {{harvnb|Hawley|2016|pp=168–170}} | {{harvnb|Stuart|2016|p=[https://books.google.com/books?id=awYUDgAAQBAJ&pg=PA14 14]}} }}</ref> [[Cognitive science]] integrates ideas from psychology, philosophy, linguistics, neuroscience, and computer science to develop unified models of cognition and the role of concepts within it.<ref>{{multiref | {{harvnb|Friedenberg|Silverman|Spivey|2022|pp=2–3}} | {{harvnb|Bermúdez|2014|pp=3, 85}} | {{harvnb|Thagard|2023|loc=Lead section, § 3. Representation and Computation}} }}</ref>
 
[[Conceptual history]] is a form of [[intellectual history]] that examines the development of concepts and ideas. It typically focuses on fields like [[science]], [[politics]], [[law]], and [[economics]], tracing how their fundamental concepts have evolved over time. It draws on linguistics and [[social history]] to study how conceptual developments reflect and shape historical processes.<ref>{{multiref | {{harvnb|Hampsher-Monk|Tilmans|Vree|1998|pp=1–5}} | {{harvnb|Scott|Travagnin|2020|pp=[https://books.google.com/books?id=jBTzDwAAQBAJ&pg=PA1 1–2]}} }}</ref>
 
Concept learning is a pervasive part of [[education]] as students grasp new categories, learn to label them, and assess category membership. For example, they learn the concepts ''fraction'' in [[mathematics]] and ''photosynthesis'' in [[biology]]. For effective learning, it is usually not sufficient to present students with precise definitions. Instead, educators familiarize students with varied examples, point out contrasts to highlight key features, and engage students in practices to consolidate their understanding. [[Concept maps]], another educational tool, are visual [[diagrams]] that use nodes to represent concepts and lines between nodes to represent their relations. Conceptual learning also includes changes to existing concepts in addition to the acquisition of new ones. Students with misguided ideas in fields like biology and [[physics]] need to recognize and resolve their misconceptions. One teaching method proceeds by showing students how their current outlooks conflict with real-world observations.<ref>{{multiref | {{harvnb|Deak|2003|loc=Lead section, § Form and Format of Conceptual Knowledge, § Conceptual Change in Children}} | {{harvnb|Klausmeier|1992|pp=267–269}} | {{harvnb|Novak|2010|pp=[https://books.google.com/books?id=8OOgz9hVsS8C&pg=PR10 x–xi]}} }}</ref>
 
The term ''concept'' has a slightly different meaning in the fields of [[business]] and [[marketing]], where it refers to a structured idea or plan. A business concept is a concise framework of how to run a business, while a [[marketing concept]] is a guiding strategy or philosophy about how to reach customers and fulfill their needs.<ref>{{multiref | {{harvnb|Reason|Løvlie|Flu|2015|pp=[https://books.google.com/books?id=ZucbCQAAQBAJ&pg=PA89 89–90]}} | {{harvnb|Bieger|2015|pp=[https://books.google.com/books?id=paWeDQAAQBAJ&pg=PA47 47–48]}} }}</ref>
 
In the field of [[aesthetics]], [[conceptual art]] is an [[art]] form that challenges traditional aesthetic ideals by focusing on underlying ideas and concepts rather than visual appearance or material craftsmanship. For example, [[Joseph Kosuth]]'s ''One and Three Chairs'' presents a real chair alongside a photograph of a chair and a dictionary definition of the word ''chair'', examining the relations among language, picture, and referent.<ref>{{multiref | {{harvnb|Schellekens|2022|loc=Lead section, § 1. Conceptual Art – What Is It?}} | {{harvnb|Kaye|2023|pp=[https://books.google.com/books?id=g8DnEAAAQBAJ&pg=PA46 46–48]}} }}</ref> Conceptual art is distinct from [[concept art]], which refers to artworks that explore new ideas for [[films]], [[video games]], and other media, such as preliminary drawings of characters or landscapes.<ref>{{harvnb|The Graphic Artists Guild|2025|p=[https://books.google.com/books?id=b04vEQAAQBAJ&pg=PA224 224]}}</ref>


==See also==
==See also==
{{Div col|colwidth=18em}}
* {{annotated link|Concept and object}}
* [[Abstraction]]
* {{annotated link|Conceptual blending}}
* [[Categorization]]
* {{annotated link|Conceptual framework}}
* [[Class (philosophy)]]
* {{annotated link|Conceptual model}}
* [[Conceptualism]]
* {{annotated link|Formal concept analysis}}
* [[Concept and object]]
* {{annotated link|General Concept Lattice}}
* [[Concept map]]
* [[Conceptual blending]]
* [[Conceptual framework]]
* [[Conceptual history]]
* [[Conceptual model]]
* [[Conversation theory]]
* [[Definitionism]]
* [[Formal concept analysis]]
* [[Fuzzy concept]]
* [[General Concept Lattice]]
* [[Hypostatic abstraction]]
* [[Idea]]
* [[Ideasthesia]]
* [[Noesis (phenomenology)|Noesis]]
* [[Notion (philosophy)]]
* [[Object (philosophy)]]
* [[Process of concept formation]]
* [[Schema (Kant)]]
* [[Intuitive statistics]]
{{Div col end}}


== References ==
== References ==
{{reflist}}
=== Notes ===
{{notelist|30em}}


== Further reading ==
=== Citations ===
{{refbegin}}
{{reflist|30em}}
* Armstrong, S. L., Gleitman, L. R., & Gleitman, H. (1999). what some concepts might not be. In E. Margolis, & S. Lawrence, Concepts (pp.&nbsp;225–261). Massachusetts: MIT press.
 
* Carey, S. (1999). knowledge acquisition: enrichment or conceptual change? In E. Margolis, & S. Lawrence, concepts: core readings (pp.&nbsp;459–489). Massachusetts: MIT press.
=== Sources ===
* Fodor, J. A., Garrett, M. F., Walker, E. C., & Parkes, C. H. (1999). against definitions. In E. Margolis, & S. Lawrence, concepts: core readings (pp.&nbsp;491–513). Massachusetts: MIT press.
{{refbegin|30em}}
* {{cite journal|doi=10.1016/0010-0277(95)00694-X|pmid=8820389|title=The red herring and the pet fish: Why concepts still can't be prototypes|journal=Cognition|volume=58|issue=2|pages=253–270|year=1996|last1=Fodor|first1=Jerry|last2=Lepore|first2=Ernest|s2cid=15356470}}
* {{cite web |author1=American Psychological Association |url=https://dictionary.apa.org/self-concept |website=APA Dictionary of Psychology |title=Self-concept |language=en |date=2018 |publisher=American Psychological Association}}
* Hume, D. (1739). book one part one: of the understanding of ideas, their origin, composition, connexion, abstraction etc. In D. Hume, a treatise of human nature. England.
* {{cite web |author1=American Psychological Association |url=https://dictionary.apa.org/quinian-bootstrapping |website=APA Dictionary of Psychology |title=Quinean Bootstrapping |language=en |date=2018a |publisher=American Psychological Association}}
* Murphy, G. (2004). Chapter 2. In G. Murphy, a big book of concepts (pp.&nbsp;11 – 41). Massachusetts: MIT press.
* {{cite book |last1=Andersen |first1=Hanne |last2=Green |first2=Sara |editor1-last=Dubitzky |editor1-first=Werner |editor2-last=Wolkenhauer |editor2-first=Olaf |editor3-last=Cho |editor3-first=Kwang-Hyun |editor4-last=Yokota |editor4-first=Hiroki |title=Encyclopedia of Systems Biology |publisher=Springer |isbn=978-1-4419-9862-0 |doi=10.1007/978-1-4419-9863-7_86 |language=en |chapter=Theory-Ladenness |date=2013 |pages=2165–2167}}
* Murphy, G., & Medin, D. (1999). the role of theories in conceptual coherence. In E. Margolis, & S. Lawrence, concepts: core readings (pp.&nbsp;425–459). Massachusetts: MIT press.
* {{cite book |last1=Asoulin |first1=Eran |editor-last=Salazar |editor-first=Heather |date=2019 |title=Introduction To Philosophy: Philosophy Of Mind |chapter=7. Concepts And Content |publisher=Rebus |isbn=978-1-989014-07-3}}
* {{cite book|doi=10.7551/mitpress/3169.001.0001|title=Furnishing the Mind|year=2002|last1=Prinz|first1=Jesse J.|isbn=9780262281935}}
* {{cite web |last1=Baehr |first1=Jason S. |title=A Priori and A Posteriori |url=https://iep.utm.edu/apriori/ |website=Internet Encyclopedia of Philosophy |access-date=14 March 2026}}
* Putnam, H. (1999). is semantics possible? In E. Margolis, & S. Lawrence, concepts: core readings (pp.&nbsp;177–189). Massachusetts: MIT press.
* {{cite journal |last1=Baillargeon |first1=Renée |title=Innate Ideas Revisited: For a Principle of Persistence in Infants' Physical Reasoning |journal=Perspectives on Psychological Science |volume=3 |issue=1 |doi=10.1111/j.1745-6916.2008.00056.x |date=2008 |pages=2–13 |pmid=22623946 |pmc=3357323 }}
* Quine, W. (1999). two dogmas of empiricism. In E. Margolis, & S. Lawrence, concepts: core readings (pp.&nbsp;153–171). Massachusetts: MIT press.
* {{cite book |last1=Balota |first1=David A. |last2=Watson |first2=Jason M. |editor1-last=Kazdin |editor1-first=Alan E. |title=Encyclopedia of Psychology |volume=2 |publisher=American Psychological Association |isbn=978-1-55798-187-5 |chapter=Cognitive Psychology: Research Methods |date=2000 |pages=158–162}}
* Rey, G. (1999). Concepts and Stereotypes. In E. Margolis, & S. Laurence (Eds.), Concepts: Core Readings (pp.&nbsp;279–301). Cambridge, Massachusetts: MIT Press.
* {{cite book |last1=Bermúdez |first1=José Luis |title=Cognitive Science: An Introduction to the Science of the Mind |publisher=Cambridge University Press |isbn=978-1-107-05162-1 |edition=2nd |date=2014}}
* Rosch, E. (1977). Classification of real-world objects: Origins and representations in cognition. In P. Johnson-Laird, & P. Wason, Thinking: Readings in Cognitive Science (pp.&nbsp;212–223). Cambridge: Cambridge University Press.
* {{cite web |last1=Bermúdez |first1=José |last2=Cahen |first2=Arnon |title=Nonconceptual Mental Content |url=https://plato.stanford.edu/entries/content-nonconceptual/ |website=The Stanford Encyclopedia of Philosophy |publisher=Metaphysics Research Lab, Stanford University |access-date=9 March 2026  |date=2024 }}
* Rosch, E. (1999). Principles of Categorization. In E. Margolis, & S. Laurence (Eds.), Concepts: Core Readings (pp.&nbsp;189–206). Cambridge, Massachusetts: MIT Press.
* {{cite book |last1=Bernstein |first1=Douglas |last2=Nash |first2=Peggy W. |title=Essentials of Psychology |publisher=Houghton Mifflin Harcourt |isbn=978-0-618-71312-7 |url=https://books.google.com/books?id=4Do-bFrt9tUC |language=en |date=2006}}
* {{cite book|doi=10.7551/mitpress/9780262015578.003.0071|chapter=Concepts: A Pragmatist Theory|title=The Language of Thought|pages=159–182|year=2011|last1=Schneider|first1=Susan|isbn=9780262015578}}
* {{cite book |last1=Bieger |first1=Thomas |title=Marketing Concept - The St. Gallen Management Approach |publisher=UTB |isbn=978-3-8252-4464-4 |url=https://books.google.com/books?id=paWeDQAAQBAJ&pg=PA47 |language=en |date=2015 }}
* Wittgenstein, L. (1999). philosophical investigations: sections 65–78. In E. Margolis, & S. Lawrence, concepts: core readings (pp.&nbsp;171–175). Massachusetts: MIT press.
* {{cite journal |last1=Billman |first1=Dorrit |title=Structural Biases in Concept Learning |journal=Psychology of Learning and Motivation |volume=35 |doi=10.1016/S0079-7421(08)60578-2 |date=1996 |pages=283–321 |isbn=978-0-12-543335-8 }}
* ''The History of Calculus and its Conceptual Development'', [[Carl Benjamin Boyer]], [[Dover Publications]], {{ISBN|0-486-60509-4}}
* {{cite book |last1=Blackburn |first1=Simon |title=The Oxford Dictionary of Philosophy |publisher=Oxford University Press |isbn=9780199541430 |edition=2nd |url=https://www.oxfordreference.com/display/10.1093/oi/authority.20110803095630484 |chapter=Conceptual Scheme |date=2008 }}
* ''The Writings of William James'', [[University of Chicago Press]], {{ISBN|0-226-39188-4}}
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* {{cite book |last1=Novak |first1=Joseph Donald |title=Learning, Creating, and Using Knowledge: Concept Maps as Facilitative Tools in Schools and Corporations |publisher=Taylor & Francis |isbn=978-0-415-99184-1 |url=https://books.google.com/books?id=8OOgz9hVsS8C&pg=PR10 |language=en |date=2010 }}
* {{cite dictionary |chapter-url=https://www.oed.com/dictionary/concept_n?tl=true |dictionary=Oxford English Dictionary |date=2026 |publisher=Oxford University Press |edition=3rd |chapter=Concept, n. |author=OED staff}}
* {{cite book |last1=Orsi |first1=Francesco |title=Value Theory |publisher=Bloomsbury Publishing |isbn=978-1-4725-2408-9 |url=https://books.google.com/books?id=cc3cBAAAQBAJ&pg=PA1 |language=en |date=2015 }}
* {{cite web |last1=Pasnau |first1=Robert |title=Thomas Aquinas |url=https://plato.stanford.edu/entries/aquinas/ |website=The Stanford Encyclopedia of Philosophy |publisher=Metaphysics Research Lab, Stanford University |access-date=2 April 2026  |date=2024 }}
* {{cite book |last1=Peifer |first1=J. F. |title=New Catholic Encyclopedia |edition=2nd |volume=4 |date=2003 |publisher=Gale |isbn=0-7876-4008-5 |chapter=Concepts |pages=51–53 |url=https://www.encyclopedia.com/medicine/psychology/psychology-and-psychiatry/concept |editor1-last=Carson |editor1-first=Thomas |editor2-last=Cerrito |editor2-first=Joann}}
* {{cite book |last1=Perlman |first1=M. |title=Conceptual Flux: Mental Representation, Misrepresentation, and Concept Change |publisher=Springer Science & Business Media |isbn=978-0-7923-6215-9 |url=https://books.google.com/books?id=P7HUpHbOSekC&pg=PA221 |language=en |date=2000 }}
* {{cite book |last1=Prinz |first1=Jesse |date=2006 |editor-last=Borchert |editor-first=Donald M. |title=Encyclopedia Of Philosophy |edition=2nd |publisher=Macmillan |isbn=0-02-865782-9 |volume=2 |chapter=Concepts |pages=414–420}}
* {{cite encyclopedia |last1=Pustejovsky |first1=J. |title=Lexical Semantics |editor-last1=Allan |editor-first1=Keith |encyclopedia=Concise Encyclopedia of Semantics |date=2009 |publisher=Elsevier |isbn=978-0-080-95969-6 |url=https://books.google.com/books?id=3_1snsgmqU8C |access-date=2024-02-04 }}
* {{cite book |last1=Reason |first1=Ben |last2=Løvlie |first2=Lavrans |last3=Flu |first3=Melvin Brand |title=Service Design for Business: A Practical Guide to Optimizing the Customer Experience |publisher=John Wiley & Sons |isbn=978-1-118-98892-3 |url=https://books.google.com/books?id=ZucbCQAAQBAJ&pg=PA89 |language=en |date=2015 }}
* {{cite book |last1=Rey |first1=Georges |chapter=Concepts |date=1998 |doi=10.4324/9780415249126-W008-1 |title=Routledge Encyclopedia of Philosophy |publisher=Routledge |isbn=978-0-415-25069-6 |url=https://www.rep.routledge.com/articles/thematic/concepts/v-1}}
* {{cite book |last1=Riemer |first1=Nick |title=Introducing Semantics |date=2010 |publisher=Cambridge University Press |isbn=978-0-521-85192-3 |url=https://books.google.com/books?id=tJjZ0FmNdzIC |access-date=2024-02-04 }}
* {{cite web |last1=Rizvi |first1=Sajjad H. |title=Avicenna (Ibn Sina) |url=https://iep.utm.edu/avicenna-ibn-sina/ |website=Internet Encyclopedia of Philosophy |access-date=2 April 2026}}
* {{cite book |last1=Rosenberg |first1=Maria |editor1-last=Bolognesi |editor1-first=Marianna |editor2-last=Steen |editor2-first=Gerard J. |title=Perspectives on Abstract Concepts: Cognition, language and communication |publisher=John Benjamins Publishing Company |isbn=978-90-272-6252-3 |chapter-url=https://books.google.com/books?id=O4WZDwAAQBAJ&pg=PA241 |language=en |chapter=11. Abstract Concepts in Development: Spontaneous Production of Complex Words in Swedish Child Language |date=2019 |pages=241–262 }}
* {{cite web |last1=Rošker |first1=Jana |title=Epistemology in Chinese Philosophy |url=https://plato.stanford.edu/entries/chinese-epistemology/ |website=The Stanford Encyclopedia of Philosophy |publisher=Metaphysics Research Lab, Stanford University |access-date=1 April 2026  |date=2025 }}
* {{cite web |last1=Samet |first1=Jerry |last2=Zaitchik |first2=Deborah |title=Innateness and Contemporary Theories of Cognition |url=https://plato.stanford.edu/entries/innateness-cognition/ |website=The Stanford Encyclopedia of Philosophy |publisher=Metaphysics Research Lab, Stanford University |access-date=28 March 2026  |date=2017 }}
* {{cite book |last1=Sammut |first1=Claude |editor1-last=Sammut |editor1-first=Claude |editor2-last=Webb |editor2-first=Geoffrey I. |title=Encyclopedia of Machine Learning |publisher=Springer Science & Business Media |isbn=978-0-387-30768-8 |chapter-url=https://books.google.com/books?id=i8hQhp1a62UC&pg=PA205 |language=en |chapter=Concept Learning |date=2011 |pages=205–208}}
* {{cite web |last1=Schellekens |first1=Elisabeth |title=Conceptual Art |url=https://plato.stanford.edu/entries/conceptual-art/ |website=The Stanford Encyclopedia of Philosophy |publisher=Metaphysics Research Lab, Stanford University |access-date=24 March 2026  |date=2022 }}
* {{cite book |last1=Scott |first1=Gregory Adam |last2=Travagnin |first2=Stefania |editor1-last=Scott |editor1-first=Gregory Adam |editor2-last=Travagnin |editor2-first=Stefania |title=Concepts and Methods for the Study of Chinese Religions II - Intellectual History of Key Concepts |publisher=Walter de Gruyter |isbn=978-3-11-054782-5 |url=https://books.google.com/books?id=jBTzDwAAQBAJ&pg=PA1 |language=en |chapter=Introduction |date=2020 |pages=1–10}}
* {{cite journal |last1=Shaffer |first1=Michael J. |title=The Problem of Necessary and Sufficient Conditions and Conceptual Analysis |journal=Metaphilosophy |date=2015 |volume=46 |issue=4/5 |pages=555–563 |doi=10.1111/meta.12158 |jstor=26602327 |s2cid=148551744 |url=https://www.jstor.org/stable/26602327 |issn=0026-1068 |access-date=15 February 2022 |archive-date=13 February 2022 |archive-url=https://web.archive.org/web/20220213133747/https://www.jstor.org/stable/26602327 |url-status=live }}
* {{cite book |last1=Shanker |first1=Stuart G. |title=Wittgenstein's Remarks on the Foundations of AI |publisher=Routledge |isbn=978-1-134-85992-4 |language=en |date=2002 }}
* {{cite web |last1=Shapiro |first1=Lawrence |last2=Spaulding |first2=Shannon |title=Embodied Cognition |url=https://plato.stanford.edu/entries/embodied-cognition/ |website=The Stanford Encyclopedia of Philosophy |publisher=Metaphysics Research Lab, Stanford University |access-date=30 March 2026  |date=2025 }}
* {{cite journal |last1=Shea |first1=Nicholas |title=Concepts |url=https://oecs.mit.edu/pub/j39m4jos/release/2 |website=Open Encyclopedia of Cognitive Science |publisher=MIT Press |access-date=9 March 2026 |language=en |doi=10.21428/e2759450.1145a437 |date=2024 }}
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* {{cite book |last1=Sokolowski |first1=Robert |title=Phenomenology of the Human Person |publisher=Cambridge University Press |isbn=978-1-139-47299-9 |url=https://books.google.com/books?id=NIEJt5afhwgC&pg=PA51 |language=en |date=2008 }}
* {{cite journal |last1=Solomon |first1=Karen O. |last2=Medin |first2=Douglas L. |last3=Lynch |first3=Elizabeth |title=Concepts Do More Than Categorize |journal=Trends in Cognitive Sciences |volume=3 |issue=3 |doi=10.1016/s1364-6613(99)01288-7 |date=1999 |pages=99–105 |pmid=10322461 }}
* {{cite book |last1=Stuart |first1=David |title=Practical Ontologies for Information Professionals |publisher=Facet Publishing |isbn=978-1-78330-062-4 |url=https://books.google.com/books?id=awYUDgAAQBAJ&pg=PA14 |language=en |date=2016 }}
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* {{cite book |last1=Taylor |first1=John R. |title=The Cambridge Handbook of Cognitive Linguistics |date=2017 |publisher=Cambridge University Press |isbn=978-1-107-54420-8 |url=https://www.cambridge.org/core/books/abs/cambridge-handbook-of-cognitive-linguistics/lexical-semantics/798AB6901B9AD5B0AC42C94A52EC8ECF |chapter=Lexical Semantics |access-date=2024-02-15 |archive-date=2024-02-15 |archive-url=https://web.archive.org/web/20240215165203/https://www.cambridge.org/core/books/abs/cambridge-handbook-of-cognitive-linguistics/lexical-semantics/798AB6901B9AD5B0AC42C94A52EC8ECF |url-status=live }}
* {{cite book |last1=Tenenbaum |first1=Joshua B. |chapter=Bayesian Modeling of Human Concept Learning |title=Proceedings of the 12th International Conference on Neural Information Processing Systems |publisher=MIT Press |date=1998 |pages=59–65 |isbn=978-0-262-11245-1 |editor-last1=Cohn |editor-first1=David A.}}
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* {{cite book |author=The Graphic Artists Guild |title=Graphic Artists Guild Handbook |edition=17th |publisher=MIT Press |isbn=978-0-262-38251-9 |url=https://books.google.com/books?id=b04vEQAAQBAJ&pg=PA224 |language=en |date=2025 }}
* {{cite book |last1=Thompson |first1=Evan |editor1-last=Coseru |editor1-first=Christian |title=Reasons and Empty Persons: Mind, Metaphysics, and Morality |publisher=Springer International Publishing |isbn=978-3-031-13994-9 |doi=10.1007/978-3-031-13995-6_9 |language=en |chapter=What's in a Concept? Conceptualizing the Nonconceptual in Buddhist Philosophy and Cognitive Science |series=Sophia Studies in Cross-cultural Philosophy of Traditions and Cultures |date=2023 |volume=36 |pages=165–210}}
* {{cite journal |last1=Wang |first1=Shaonan |last2=Zhang |first2=Yunhao |last3=Zhang |first3=Xiaohan |last4=Sun |first4=Jingyuan |last5=Lin |first5=Nan |last6=Zhang |first6=Jiajun |last7=Zong |first7=Chengqing |title=An fMRI Dataset for Concept Representation with Semantic Feature Annotations |journal=Scientific Data |volume=9 |issue=1 |doi=10.1038/s41597-022-01840-2 |date=2022 |article-number=721 |pmid=36424388 }}
* {{cite book |last1=Watts |first1=A. D. |last2=Lazerus |first2=T. |editor1-last=Nicholas |editor1-first=Lionel |title=Introduction to Psychology |publisher=Juta and Company Ltd |isbn=978-1-919895-02-4 |chapter-url=https://books.google.com/books?id=MP5X2SK2DCgC&pg=PA149 |language=en |chapter=6. Cognitive Process |date=2009 }}
* {{cite web |last1=Weiskopf |first1=Daniel A. |title=Concepts, Theory-Theory of |url=https://iep.utm.edu/theory-theory-of-concepts/ |website=Internet Encyclopedia of Philosophy |access-date=27 March 2026}}
* {{cite journal |last1=Zentall |first1=Thomas R. |last2=Wasserman |first2=Edward A. |last3=Urcuioli |first3=Peter J. |title=Associative Concept Learning in Animals |journal=Journal of the Experimental Analysis of Behavior |volume=101 |issue=1 |doi=10.1002/jeab.55 |date=2014 |pages=130–151 |pmid=24170540 |pmc=3927728 }}
{{refend}}
{{refend}}


== External links ==
{{wiktionary}}
{{wiktionary}}
{{EB1911 poster |Concept}}
 
* {{PhilPapers|category|Concepts}}
* {{cite SEP |url-id=concepts |title=Concepts}}
* {{InPho|idea|1734}}
* {{cite IEP |url-id=concepts}}
* {{cite IEP |url-id=th-th-co |title=Theory–Theory of Concepts}}
* {{cite IEP |url-id=conc-cl |title=Classical Theory of Concepts}}
* [http://markturner.org/blending.html Blending and Conceptual Integration]
* [https://www.ethicalpolitics.org/ablunden/pdfs/Concepts,_A_Critical_Approach.pdf Concepts. A Critical Approach, by Andy Blunden]
* [http://www.virtuescience.com/conceptualscience.html Conceptual Science and Mathematical Permutations]
* [https://web.archive.org/web/20090716121100/http://www.conceptmobiles.com/ Concept Mobiles] Latest concepts
* [[v:Conceptualize: A Wikiversity Learning Project]]
* [https://web.archive.org/web/20090125191454/http://www.free-dictionary-translation.com/Concept.html Concept simultaneously translated in several languages and meanings]
* TED-Ed [http://ed.ted.com/lessons/ideasthesia-how-do-ideas-feel-danko-nikolic Lesson] on ideasthesia (sensing concepts)
{{philosophy of language}}
{{philosophy of language}}
{{philosophy of mind}}
{{philosophy of mind}}
{{Psychology}}


{{Authority control}}
{{Authority control}}


[[Category:Abstraction]]
[[Category:Cognitive science]]
[[Category:Concepts in metaphysics]]
[[Category:Concepts| ]]
[[Category:Concepts| ]]
[[Category:Main topic articles]]
[[Category:Main topic articles]]
[[Category:Mental content]]
[[Category:Mental content]]
[[Category:Ontology]]
[[Category:Philosophy of language]]
[[Category:Concepts in the philosophy of mind]]
[[Category:Semantics]]
[[Category:Thought]]
[[Category:Objects]]

Latest revision as of 09:00, 31 May 2026

A concept is a fundamental unit of cognition that classifies entities and encodes shared features. Concepts make it possible to form and combine ideas, draw inferences, and refer to external objects. They act as the meanings of words and play a central role in many cognitive processes, including perception, memory, and reasoning. Researchers distinguish different types of concepts based on their internal structure, mode of acquisition, and domain. These include simple and complex concepts, learned and innate concepts, concrete and abstract concepts, and natural and logical concepts.

The classical theory holds that concepts are essentially definitions, each characterized by fixed rules determining to which entities the concept applies. Prototype theory rejects this outlook, arguing that concept membership depends on similarity to a prototype—a cluster of features typically associated with the category. According to exemplar theory, similarity derives from individual memories of concrete instances rather than a single prototypical summary representation. Theory theory maintains that concepts are embedded in domain-specific theories, while conceptual atomism argues that lexical concepts are separate units without internal structure. Philosophers debate whether concepts are mental representations or abstract objects that exist independently of individual minds.

Concept learning is the process of acquiring a new concept, which is required before an individual can use it. Suggested learning mechanisms include associative learning, in which similarities are gradually noticed as learners encounter instances, and hypothesis testing, which involves formulating testable rules. Nativism and empiricism are competing theories about whether there are inborn concepts not learned from experience. Researchers also examine how concept learning develops from childhood to adulthood, how nonhuman animals form concepts, and how computers can model and acquire concepts.

Concepts are relevant to many fields, including psychology, philosophy, and linguistics. Inquiry into their nature originated in antiquity and became a central topic in the 20th century as researchers discussed various theories of concepts and the cognitive mechanisms underlying them.

Definition and central features

Diagram showing fruits on the left and non-fruit items on the right
Concepts, like the concept fruit, group entities into categories and separate them from others.[1]

Concepts are fundamental units of cognition through which individuals understand the world. They make it possible to form and combine ideas, classify things, draw inferences, grasp the meanings of words, and refer to external entities. Concepts are often understood as abstract representations or ideas that different people can share. They encode common features of objects and events, grouping individual things into categories. For example, the concepts car, teacher, and prime number encode information about their respective kinds, conveying what members of each group have in common. Concepts are involved in many mental processes, including perception, memory, reasoning, learning, and decision-making.[2] They are relevant to several fields of inquiry, such as philosophy, psychology, linguistics, and cognitive science. Their exact definition is disputed and varies by discipline.[3]

The intension of a concept is its sense or the features it encodes. The extension of a concept is the set of all entities to which it refers. A concept is typically a general entity that applies to many different things. For example, the concept city refers to New York, Paris, Tokyo, and many others.[4] Philosophers also discuss singular concepts, which refer only to a single entity, such as the concept of the planet Mars. There are also empty concepts without real-world instances, like the concept unicorn.[5]

Concepts are components of thought but not fully formed thoughts: they are subpropositional units, like the concept baby, that do not amount to complete propositions, like the statement "the baby is sleeping". Accordingly, concepts apprehend the character of something without asserting or negating anything about it.[6] Concepts are further distinguished from nonconceptual contents—mental representations that do not require concept possession. Raw sense data, such as colors, shapes, and sounds, are often discussed as examples of nonconceptual contents. According to this view, perception contains more information than what is conceptually grasped. For example, a person may visually distinguish differences between similar shades of red despite lacking distinct concepts for each shade.[7]

Concepts are closely related to language and are often characterized as the meanings of words. However, they are not identical to words: different words can express the same concept,[lower-alpha 1] and a single word can have several meanings.[lower-alpha 2] It is possible to learn a word without knowing its meaning and to possess a concept without knowing a word for it. Conceptual capacities are primarily associated with humans, but in a broader sense, they are also attributed to some nonhuman animals.[10]

Graph showing the main taxonomic ranks of Vulpes vulpes
Concepts can form hierarchies in which a superordinate concept, like animal, encompasses subordinate concepts, like mammal.[11]

Concepts can form hierarchies in which a superordinate concept encompasses subordinate concepts. For instance, the superordinate concept animal covers the subordinate concept mammal. These hierarchies can span multiple levels, for example, the concept mammal is itself superordinate to the subordinate concept fox. All members of a subordinate concept inherit the defining features of their superordinate concepts.[12]

To use a concept, an individual must possess it. Concept acquisition is the process of learning a concept, as when a child learns the concept cat by seeing, hearing, and interacting with cats. In some cases, new concepts are formed by combining pre-existing ones, such as combining the concepts white and cat to form the concept white cat.[13] Concepts are closely related to conception, which denotes either the act of developing an idea or beliefs about what makes something fall under a concept.[14]

The word concept originates from the Latin term concipere, meaning Template:Gloss. Through the perfect participle conceptus, the Latin word entered Middle English, with the earliest documented use in 1479.[15]

Roles

Concepts play multiple cognitive roles. They function as categories that group objects or events into classes and make it possible to distinguish between them. For instance, the concept turtle classifies entities into turtles and non-turtles. Categorization is essential to human cognition to simplify the complexity of the world by picking out relevant characteristics and ignoring irrelevant differences, which reduces cognitive load. When an individual encounters a new entity, categorization helps them understand and interact with it. For example, recognizing a plastic stick with bristles as a toothbrush conveys the object's purpose. Correct categorization is vital for survival and everyday functioning, such as distinguishing edible from poisonous plants. It typically happens fast and unconsciously, forming the foundation for more sophisticated cognitive activities.[16]

These activities include inference and logical reasoning, in which people access information they associate with distinct concepts. Once an entity is categorized, individuals can draw conclusions and predict outcomes based on their prior knowledge, even if they have not encountered the specific entity before. A person who possesses the concept shovel can not only distinguish shovels from other objects but also infer related information, such as their use for digging. Similarly, concepts help individuals explain the world around them. If a group is chanting slogans and waving scarves in the street, categorizing them as football fans makes sense of their behavior.[17]

Several of these functions come together in the process of decision-making, in which conceptual thought evaluates different courses of action to select the most beneficial one. For example, a doctor may identify the symptoms of a patient, infer the underlying disease, and then choose the treatment best suited to address the root cause of the illness. This way, conceptual understanding plays a key role in guiding action. Some concepts are directly related to goal-directed planning, such as the concept "things needed for a camping trip".[18]

As meanings of words, concepts play a key role in language. Linguistic conventions are social rules that link words to meanings, allowing individuals to express their ideas. Accordingly, concepts aid communication and social coordination by serving as stable meanings that people can transmit, share, and think about.[19]

Concepts structure perception and guide attention. They further organize memory, helping individuals encode and retrieve information associated with specific ideas.[lower-alpha 3] Similarly, concepts play a key role in learning through generalization and abstraction. People can also form new concepts by combining existing ones to represent new ideas. Individuals may update mental representations as they encounter new instances of a concept or grasp novel relations.[21]

Types

Several types of concepts are discussed in the academic literature, distinguished by internal structure, form of acquisition, domain, and mode of grouping. Complex concepts are created by combining simpler concepts to encode more specific information. In some cases, they are formed by intersecting the meanings of two concepts. For example, combining the concepts red and apple yields the complex concept red apple. In other cases, the combination occurs by using one concept to modify the meaning of another concept. For instance, the concepts boat and house can be combined into the concepts boathouse (a house for boats) and houseboat (a boat for dwelling), depending on the direction of modification. Complex concepts contrast with simple or primitive ones, which are not composed of other concepts. Simple concepts are closely related to lexical concepts, which are the meanings of single words, such as the bachelor and bird. Some theorists argue that most or all lexical concepts are simple.[22]

Another contrast is between learned and innate concepts. Learned concepts are acquired through experience, instruction, or reasoning. For example, a person may learn the concept chess by watching others play, studying the rules, or playing themselves. Innate concepts, by contrast, are inborn. They provide basic representations or categories of understanding that enable individuals to interpret the world without prior learning. Academic debates address the relation between learned and innate concepts, including the questions of whether there are innate concepts and whether learning new concepts depends on innate ones.[23]

The relation to experience plays a central role in the contrast between concrete and abstract concepts. Concrete concepts refer to entities that can be directly perceived, such as chairs or apples. This immediate connection to experience is absent in abstract concepts, such as idea and infinity. In practice, the contrast is not a strict dichotomy but a continuum, with many concepts exhibiting varying degrees of concreteness or abstraction. In some cases, the connection to experience is established indirectly through inference and causal processes. For example, the concept electron describes physical entities that humans cannot directly observe. However, their existence and properties can be inferred from experimental measurements. The lack of sensory anchoring generally makes abstract concepts more difficult to learn. Children typically acquire concrete concepts first and take longer to master abstract ones.[24] A related distinction is between a posteriori and a priori concepts. A posteriori concepts can only be learned or justified through sensory experience, whereas a priori concepts cannot be learned or justified in this way.[25]

Logical concepts are based on precise rules. They have clear definitions determining their essential features. For instance, the geometrical concept square is a logical concept, defined as a figure with four sides of equal length and right angles between them. Logical concepts have precise boundaries: they clearly establish to which entities they apply and to which ones they do not. Natural concepts, by contrast, do not have exact definitions and do not unambiguously determine their range of application. Many everyday concepts, such as emotion, are natural concepts whose boundaries are fuzzy and difficult to delineate. Accordingly, natural concepts admit borderline cases and vary by degrees, meaning that some entities are more typical members than others.[26] Theories of concepts discuss whether all concepts are, at a fundamental level, characterized by precise definitions or by more vague similarities to a prototype or a set of exemplars.[27]

The concept mother is a relational concept that depends on external connections to other entities, whereas the concept triangle is intrinsically defined based on inherent features.[28]

Other distinctions focus on how concepts group entities into classes. Relational concepts describe entities by their interactions with or connections to other things, such as the concepts obstacle and grandmother. They include goal-derived concepts, which organize items according to an external function or a shared purpose. For example, the category diet foods includes a variety of otherwise dissimilar items that serve the purpose of supporting weight loss. Relational concepts contrast with intrinsically defined concepts, which group entities based on inherent properties independent of extrinsic purposes or external roles, such as the concept triangle. Other proposed types include affective categories, which group entities by the emotions they evoke, and ad hoc categories, which are formed spontaneously, typically in response to situational demands, such as the concept things to grab in a fire.[29]

General concepts apply to many entities, while singular concepts refer to one specific entity, and empty concepts have no instances. Superordinate and subordinate concepts are distinguished by their level of specificity, as in the contrast between the concepts animal and mouse.[30]

Concepts can also be classified by domain. Everyday concepts are non-technical categories used in daily life. They are usually practical, intuitive groupings relevant to ordinary interaction with the world but without precise definitions or exact boundaries. Scientific concepts, by contrast, are more precise and may lack immediate relevance to everyday experience. They are often based on exact definitions, typically with the goal of eliminating ambiguity and ensuring consistent measurement, prediction, and explanation.[31] More fine-grained classifications distinguish between the specific fields to which concepts belong, including mathematical, linguistic, psychological, and moral concepts.[32]

Descriptive concepts provide neutral characterizations of entities. Evaluative or normative concepts, by contrast, concern values and norms, expressing what should be rather than what is. They are further divided into thin and thick concepts. Thin concepts encode pure evaluations without additional descriptive contents, such as right and wrong or good and bad. Thick concepts combine evaluative and descriptive features, indicating both what something is and how it should be assessed. For example, courageous and cruel are thick concepts since they express character traits in addition to evaluations.[33]

Theories

Various theories about the nature of concepts are discussed in the academic literature. Theories of the structure of concepts ask how conceptual contents are encoded, for example, whether each concept is defined through exact rules or by grades of similarity. Ontological theories examine whether concepts are mental constructs or exist independently of individual minds.[34]

Structure

Classical

Photo of a man with short hair wearing a suit
Ludwig Wittgenstein challenged the classical theory, arguing that concepts are usually based on family resemblance without precise underlying definitions.[35]

The classical theory (also called definitionism) asserts that concepts are essentially definitions. It proposes that there is a set of fixed rules for each concept, determining to which entities the concept applies. For example, the defining rules of the concept bachelor are typically given as "unmarried adult human male". These rules are regarded as necessary and sufficient conditions: all entities meeting the criteria are instances, and anything that fails to meet them is excluded.[36]

According to the classical theory, concepts have precise boundaries: any entity either clearly falls under a concept or does not, with no intermediate cases. It also holds that all members of a concept are equal: there are no central or peripheral examples, just as there are no degrees of membership.[37]

Despite its prominence in the history of philosophy, the empirical correctness of the classical theory has been challenged on various grounds. Critics assert that many everyday concepts are vague and lack exact boundaries. They also note that people usually regard some members as better examples than others, an effect measurable through the speed and accuracy of judgments about membership. A related argument states that many concepts lack generally accepted definitions based on fixed rules. For example, there is no widely accepted set of features of the concept game that applies equally to all games and distinguishes them from all other entities.[38][lower-alpha 4]

Prototypes and exemplars

Diagram of a prototypical apple surrounded by non-prototypical apples
Prototype theory asserts that concepts are summary representations that incorporate the most typical attributes of the category.[40]
Diagram showing five apples
Exemplar theory holds that the mind stores individual memories of exemplars as reference points for assessing concept membership.[41]

Prototype theory emerged as a response to the difficulties faced by the classical theory. It rejects the existence of precise definitions, arguing instead for gradual concept membership based on degrees of similarity. Prototype theorists assert that each concept is characterized by a cluster of features, called a prototype, that includes the most typical attributes of members and serves as an abstract summary representation. For example, the prototype bird includes features such as having feathers, having a beak, having wings, and being able to fly. On this view, categorization happens by matching features: individuals compare the features they perceive to stored prototypes to decide whether an entity belongs to a category. Cognition assesses whether family resemblance to the entity is sufficiently high, even if the entity does not possess all prototypical features. Some prototypes may even include incompatible features that no single instance can satisfy, like the features long-haired and short-haired for the concept dog. Different features have different weights, meaning that matching the most central features is more important than matching peripheral ones. For instance, the feature can harm is more central to the concept weapon than the feature made of iron.[42]

Critics of the prototype theory assert that it succeeds only for some concepts but fails for others. For instance, the concept grandmother is determined by family relations that are not directly perceivable, and prototypical features such as having gray hair and wrinkled skin are not reliable indicators of membership. The prototype theory also struggles to explain how concepts combine to form new ones, a process which often depends on logical relations rather than the aggregation of prototypical attributes. Additionally, some concepts are too specific to have clear prototypical attributes, such as the concept "grandmother whose grandchildren are married to dentists".[43]

Exemplar theory is another similarity-based approach. It rejects the idea that each concept is based on a single abstract summary representation in the form of a prototypical cluster of features. Instead, it holds that the mind stores many exemplars, each a concrete individual instance of the concept. For example, the concept apple is based on individual memories of apples that a person has encountered. Categorizing something as an apple involves comparing it to a set of stored apple exemplars to assess whether it is sufficiently similar to belong to the category. In the widest sense, any apple a person has encountered can serve as an exemplar for future judgments. However, different memories are assigned different weights, with more salient and easily recalled instances exerting greater influence.[44]

Theory theory, atomism, and pluralism

The theory theory, also called the knowledge approach, holds that concepts are essentially connected to theories. A key idea underlying this outlook is that acquiring a concept is about learning theoretical knowledge relevant to a specific domain and that applying concepts involves theoretical reasoning and the prediction of outcomes. For example, learning the concept electron includes the acquisition of various beliefs about electrons, such as that electrons are elementary particles with a negative charge. The relevant theories need not be scientific—they include informal intuitive understanding, such as a child's commonsense belief that solid objects cannot pass through each other.[45]

One version of the theory theory holds that each concept is a small theory. It asserts that concepts apply to a particular domain, grouping features within this domain and explaining how they interact. A different outlook distinguishes between concepts and theories: it holds that concepts are essentially constituents of theories, functioning as representational units rather than miniature theories.[46] In either view, a central aspect of the theory theory is its holistic outlook: concepts do not exist in isolation but are embedded within a web of interdependent beliefs. For instance, the concept electron depends on the concept negative charge.[47]

One advantage of the theory theory over prototype theory is its ability to explain categorizations based on logical relations where perceptual similarity is overridden by theoretical knowledge. It also aligns with empirical research about how children learn concepts and gradually refine their understanding. Critics maintain that the holistic outlook implies that people rarely share concepts: each person has different background beliefs, meaning that their concepts do not fully coincide.[48]

Photo of a man with white hair wearing glasses
Jerry Fodor proposed conceptual atomism, arguing that lexical concepts are simple units without internal structure.[49]

In contrast to the theory theory, conceptual or informational atomism rejects the holistic outlook. It asserts that lexical concepts are simple units that do not depend on each other. Accordingly, the concept cow does not depend on theories about cows or on cow-related concepts. It is simply defined through its referents: the cows to which it refers. In this sense, lexical concepts lack internal structure. This view maintains that knowledge about the relations among lexical concepts is built on concepts but is not an essential part of them. Conceptual atomism holds that besides lexical concepts, there are also complex concepts, which have an internal structure constructed from simpler concepts.[50]

Pluralist or hybrid approaches seek to resolve disagreements between other theories by combining them. According to one proposal, each concept has multiple structures that serve different roles. For instance, the prototype structure supports fast and similarity-based categorization, while the theory-like structure supports slow and reflective reasoning. A different view suggests that the different structures belong to distinct concepts. Accordingly, people form several competing concepts for each category. For example, a person may have multiple cat concepts, such as a prototype-based cat concept alongside a theory-based cat concept.[51]

Ontology

As mental entities

Mind-based theories assert that concepts are psychological constructs dependent on the cognitive capacities of individual thinkers. An influential proposal in cognitive science and philosophy of mind holds that concepts are mental representations. According to this representational theory, the mind operates by transforming and manipulating internal representations, which in turn guide behavior. This approach treats concepts as basic representational units that constitute the building blocks for more complex states.[lower-alpha 5] For example, beliefs are complex representations built from simpler components, like combining the concepts sky and blue to form the belief that the sky is blue. Whether a complex representation is a belief, a desire, or another state depends on the function it plays in the cognitive system, such as its role in motivating action.[53]

A key motivation for this approach is that it clarifies the intimate relation between concepts and cognition by treating concepts as constituents of cognition. Another argument maintains that a representation-based view is essential for explaining the productivity of thought—the ability to form an unlimited variety of thoughts by combining a limited number of basic ideas. One criticism of representationalism holds that many mental states do not require an active combination of internal representations. For example, many people believe facts like "zebras in the wild do not wear overcoats" without ever constructing this specific representation. Another objection asserts that representational theories rely too heavily on commonsense views of mental life as a sequence of inner representations while failing to account for embodied aspects of cognition grounded in sensorimotor engagement with the world.[54]

In response to some of these criticisms, another mind-based theory characterizes concepts as abilities. According to this view, the concept cat is not an internal representation but an ability to distinguish cats from other entities and to reason about cats.[55]

As abstract objects

A different approach, termed Platonism or the semantic view, characterizes concepts as abstract objects. It asserts that concepts do not depend on the individual minds that grasp them or on the things they classify. Instead, it holds that concepts exist outside spacetime and have neither causes nor effects. Accordingly, a concept can exist even if no one has ever thought of it. This view commonly identifies concepts with the meanings of words, maintaining that they mediate between thought and language. It distinguishes between the sense of a concept (the idea it expresses) and its reference (the entities it refers to). This outlook maintains that abstract objects ground the sense even if there is no reference, as is the case with empty concepts like Pegasus.[56]

One argument for Platonism asserts that this view is essential for explaining how different people can share the same ideas despite having distinct minds: concepts act as publicly available meanings that different thinkers can independently access. One difficulty is to explain how this access works: if concepts are non-spatiotemporal abstracta, it is unclear how minds can relate to them, understand them, and reason with them.[57]

Others

Oil painting of a man with gray hair wearing a brown attire
John Locke held that the infant mind is a blank slate that depends on sensory experience to acquire concepts.[58]

Eliminativism about concepts is the view that, strictly speaking, there are no concepts. This view accepts the existence of cognitive processes involved in categorization, inference, and mental representation. However, it rejects the idea of concepts as a unified mechanism that underpins all these activities. Instead, it posits a variety of overlapping capacities that explain the different functions. For example, an eliminativist may accept prototype-based, exemplar-based, and theory-based mechanisms, while denying that they have enough in common to constitute a unified psychological kind called concept.[59]

Empiricism and nativism (also called rationalism) are competing theories about the origin of concepts. According to empiricism, all concepts are learned from experience. This view follows John Locke's metaphor of the infant mind as a blank slate, meaning that all conceptual knowledge is acquired through experience as the mind generalizes incoming sensory data to form abstract ideas. Nativism acknowledges that some concepts are learned from experience but argues that this is not true for all concepts. One form of nativism proposes that certain fundamental concepts presupposed by many cognitive processes are innate and need not be learned, such as the concepts object, agent, number, and space.[60][lower-alpha 6]

Theories of concept individuation discuss the conditions under which two concepts are identical. Reference-based theories focus on extensions, asserting that concepts are identical if they refer to the same entities. Internalist theories, by contrast, hold that two concepts can differ regarding their internal functions even if they refer to the same entities. For example, inference-based accounts, such as inferential role semantics, compare the roles that concepts play in patterns of inferences. Two-factor theories combine both approaches, arguing that concepts have both external and internal components.[62]

History

Research into the nature of concepts originated in antiquity. In ancient Greek philosophy, Plato (428–348 BCE) argued for the existence of abstract forms outside the sensory realm that unify many concrete instances under a single concept.[63] His student Aristotle (384–322 BCE) maintained that forms exist within concrete entities rather than separately. He also explored how concepts form categorical hierarchies that organize particulars into genera and species based on shared features.[64]

The distinction between conceptual and nonconceptual experience played a central role in Buddhist thought. For example, Abhidharma philosophy regards nonconceptual experience as the apprehension of pure sensory qualities, while conceptual experience involves recognizing objects through mental labels.[65] In Hindu philosophy, the Nyaya school explored the role of concepts in perception for recognizing and identifying things, distinguishing between nonverbal awareness of raw sensation and concept-based cognition.[66] A central topic in early Chinese epistemology was the relation between names or concepts and real entities, including the question of how to establish a stable alignment between the two.[67]

In medieval Western thought, philosophers debated the problem of universals, asking whether universal entities exist independently of particular things, as concepts in individual minds, or merely as names without reality outside language.[68] Influenced by Aristotle, Thomas Aquinas (1225–1274 CE) held that the senses perceive concrete particulars, while the intellect forms universal concepts used for judgments and reasoning.[69] In the Arabic-Persian tradition, Avicenna (980–1037 CE) held that essences (i.e., what something is) can exist in the external world as qualities of particular things, in the mind as concepts grasping those qualities, and in themselves apart from external things and minds.[70]

Early modern philosophers discussed concepts as ideas that function as general mental representations. Rationalists, like René Descartes (1596–1650) and Gottfried Wilhelm Leibniz (1646–1716), argued that some ideas are innate and do not depend on sensory experience. Empiricists, such as John Locke (1632–1704) and David Hume (1711–1776), rejected this idea, asserting that the mind begins as a blank slate and acquires all ideas about the world from experience.[71] Immanuel Kant (1724–1804) understood concepts as rules for organizing experience. According to him, only the fundamental concepts of understanding, called categories, are inborn.[72] Georg Wilhelm Friedrich Hegel (1770–1831) rejected the view that concepts are merely mental constructs, arguing instead that they are fundamental structures of thought and reality, transcending the divide between subjectivity and objectivity.[73]

Wilhelm Wundt (1832–1920), the father of experimental psychology, used introspection to study the basic components of concepts and the rules for how they can be combined.[74] Behaviorists, such as Clark L. Hull (1884–1952), rejected the introspective method, focusing instead on how concepts shape observable behavior.[75] In developmental psychology, Jean Piaget (1896–1980) analyzed how children acquire concepts in a series of stages moving from concrete to abstract reasoning.[76] Jerome S. Bruner (1915–2016), Jacqueline J. Goodnow (1924–2014), and George A. Austin applied experimental methods to the problem of concept attainment, analyzing the cognitive mechanisms through which individuals learn novel categories.[77] Susan Carey (born 1942) proposed Quinean bootstrapping as one such mechanism to explain how individuals rely on preexisting conceptual resources to acquire genuinely new concepts.[78]

Photo of a woman with long grey hair
Eleanor Rosch suggested prototype theory as an alternative to the classical theory.[79]

Gottlob Frege (1848–1925) analyzed the meaning content of concepts in terms of sense and reference, distinguishing the ideas they express from the entities they refer to.[80] While the roots of conceptual analysis trace back to Socrates (470–399 BCE), it came to central prominence in 20th-century analytic philosophy as the method of identifying the necessary and sufficient components of concepts, popularized by philosophers such as G. E. Moore (1873–1958).[81] Rudolf Carnap (1891–1970) criticized the imprecision of concepts inherited from natural language. He proposed conceptual engineering to create improved concepts as superior tools for scientific and philosophical inquiry.[82]

In his later philosophy, Ludwig Wittgenstein (1889–1951) analyzed concepts in terms of family resemblance without precise definitions, challenging the classical theory of concepts.[83] His work influenced Eleanor Rosch (born 1938), who proposed prototype theory as a replacement of the classical theory.[84] In response, Douglas Medin (born 1944) and Marguerite M. Schaffer developed exemplar theory, which emphasizes the role of concrete individual memories in contrast to prototypical summary representations.[85] Thomas Kuhn's (1922–1996) account of scientific paradigm shifts inspired theory theory, according to which concepts are embedded in domain-specific theories that guide categorization and prediction.[86] Noam Chomsky (born 1928) argued that humans possess innate capacities that shape the conceptual organization of linguistic knowledge. His student Jerry Fodor (1935–2017) proposed conceptual atomism, according to which lexical concepts are simple units without internal structure.[87] Other developments in the 20th and 21st centuries include the use of neuroscientific methods to study concepts and approaches in computer science and machine learning to model category learning and representation.[88]

Formation and learning

Concept formation is the acquisition of a new concept. It enables individuals to organize their experience and use the concept in cognitive processes. Concept formation happens as people recognize similarities and regularities in the world, identify common features, and group instances into mental classes.[89]

One key aspect is learning to categorize entities and predict the class membership of new instances. For example, learning the concept fresh vegetable involves recognizing fresh vegetables when encountering them and being able to distinguish them from stale ones. Another aspect concerns information about the concept and its relations to other concepts, such as knowing that fresh vegetables grow from plants and are perishable. Accordingly, learners need to understand what it means for an entity to belong to a category and how to reason with this information to draw inferences. From a behaviorist perspective, concept learning is about generalizing stimuli and acquiring relevant stimulus–response patterns. For instance, learning the concept red involves, among other things, a tendency to respond differently to red objects than to green ones.[90]

Some theorists distinguish concept formation from concept attainment as two stages in the process of mastering concepts. According to this view, concept formation is about dividing entities into classes. Concept attainment is about identifying features through which one can reliably decide whether an entity belongs to a class. For example, grasping the basic idea of the concept edible mushroom belongs to concept formation, whereas learning to discriminate between edible and inedible mushrooms based on color, shape, and size belongs to concept attainment.[91] A different terminology uses the expression discrimination learning for the ability to distinguish concrete features, like size and shape, and reserves the expression concept formation for abstract rules that are not directly observable.[92]

Learning mechanisms and situations

Several learning mechanisms underlie concept acquisition. Associative learning is based on typical features of a certain type of entity. As learners are repeatedly exposed to instances, they notice similarities and gradually strengthen connections between cues and categories. This process typically yields graded categorization, in which learners associate some entities more closely with a concept than others, like a sparrow as a more typical member of the concept bird than a penguin. Concepts formed this way tend to lack an exact line demarcating where the concept begins or ends. Hypothesis testing is another mechanism in which learners propose precise rules for class membership. They test and revise these rules as they encounter new instances, improving their mastery of a concept. The learning mechanism employed may depend on the type of concept: hypothesis testing is linked to logical concepts with exact boundaries, whereas associative learning is connected to natural concepts with fuzzy boundaries.[93] Quinean bootstrapping, a different proposed mechanism, seeks to explain the acquisition of genuinely new concepts, such as concepts about which learners initially cannot state a hypothesis because they lack the required representational resources. This view asserts that individuals create mental placeholders and approximate these placeholders with familiar concepts until a genuinely new concept is grasped.[94][lower-alpha 7]

Concept formation is also influenced by the learning situation in which it happens. In supervised learning, the learner receives immediate feedback on concept use. This is the case when a child labels animals during a zoo visit and a parent confirms or corrects each label. Feedback is absent in unsupervised learning, such as forming concepts of different music genres without explicit labels or guidance. Semisupervised learning is an intermediate form with occasional feedback. Supervision with labeled examples is central when learning to distinguish between similar categories that are easily conflated without corrective feedback. Another distinction is between self-directed and other-directed learning based on whether the learner chooses which concepts to explore. Increased engagement in self-directed learning typically makes it more effective.[96] Other classifications of learning situations include observational learning, inference learning, and indirect learning. Observational learning involves exposure to pre-paired instances and labels without active guessing. Inference learning focuses on additional knowledge besides the ability to categorize. In indirect learning, concepts are acquired while performing other tasks that require categorization to achieve their goals.[97]

Another research topic examines biases in concept formation, targeting typical errors that learners are prone to make. The confirmation bias happens when learners focus on positive instances to support their hypotheses about a concept while ignoring negative instances that would contradict them.[98] Other biases include the learning tendencies to focus on a small set of related features and to seek consistent contrasts between subtypes within the same category.[99] Learning success also depends on the type of concept that is being learned. For example, concrete concepts tied to sensory experience are easier to learn than abstract concepts lacking tangible referents.[100] For complex concepts formed of several parts, conjunctive categories that require several features together (e.g., large and green) are easier to learn than disjunctive categories that require any one of multiple features (e.g., large or green).[101]

Children, animals, and artificial intelligence

Photo of a man with white hair and glasses, wearing a suit
Jean Piaget analyzed how children acquire concepts in a series of stages moving from concrete to abstract reasoning.[102]

Concept formation starts early in life as infants form categories, generalize repeated patterns, and group similar objects together. The mechanisms of conceptual learning in childhood are overall similar to those in adults, but children typically focus more on concrete concepts, guided by a prototype-based understanding. Mastering a new concept often takes longer for children, in part because they have less prior knowledge and have encountered fewer instances in their limited experience. Limitations in working memory are another factor, making it more difficult to grasp atypical cases. For example, this makes it difficult for children to understand that dolphins are not fish. An influential approach to cognitive development was proposed by Jean Piaget, who divided the development from birth to adulthood into four stages, characterized by an increasing capacity for abstract conceptual thought.[103]

Researchers also examine concept formation in animals. This typically happens by presenting animals with discrimination tasks in which they must apply generalized rules to receive rewards. For example, dogs can be trained to respond to commands like sit and come. More complex abilities have been shown in chimpanzees, which can learn and communicate using simple sign languages. There are academic disagreements about the extent to which learned classification behavior in animals amounts to concept formation rather than more basic conditioning through stimulus–response pairings.[104]

The problem of concept formation is also encountered in machine learning, a field of artificial intelligence. In this context, concept formation is about constructing a model that can categorize an entity based on information provided about it. Learning algorithms automatically build models by processing data in the form of a training set and extract rules that underlie the classification. After identifying and generalizing patterns in the training set, systems are able to classify novel instances not encountered before—an ability that can guide automatic decision-making.[105]

In various fields

Because of their central role in human cognition, concepts are relevant to many fields, including psychology, philosophy, and linguistics.[106]

Psychology

Psychology typically conceives concepts as mental representations that individuals use to categorize entities, organize experience, and guide reasoning.[107] It is interested in how concepts shape diverse cognitive processes and behavior. Concepts influence how perception interprets sensory stimuli and draws attention toward category-relevant features. They help memory encode, store, and retrieve information efficiently by linking it to specific ideas or categories. As the basic units of thought, concepts structure how the mind forms and combines ideas and processes this information through reasoning. They guide decision-making by framing distinct courses of action and shaping expectations about likely consequences.[108]

Psychologists are also interested in the structure of concepts and the cognitive mechanisms that underlie conceptual activity. They distinguish between rule-based approaches, which treat concepts as definitions composed of necessary and sufficient rules, and prototype- or exemplar-based approaches, which analyze concepts in terms of typical features or remembered examples. A related set of questions asks whether concepts are grasped independently of each other or form interlinked patterns.[109]

Another topic in psychology concerns how people acquire new concepts and which learning mechanisms govern this process. This includes the study of the influence of cognitive biases and disorders of conceptual activity.[110] Developmental psychologists examine how the ability to learn and use concepts evolves from childhood to adulthood.[111] Personality psychologists are interested in the self-concept, which includes self-description and self-evaluation, explaining a person's sense of identity over time and consistency of behavior.[112]

Psychologists use several empirical methods to gather data and support their theories. Experimental methods observe individuals in controlled situations. They vary specific factors within these situations to explore how these changes affect individuals. Correlational methods use observation and survey data to detect links among traits or behaviors without establishing cause-effect relations. Early approaches relied on introspection to examine the contents of thought from a first-person perspective, but the results were unreliable. This method was gradually replaced with third-person approaches with more emphasis on the observation of behavior.[113]

Philosophy

Philosophers are interested in the nature of concepts, discussing their definition and essential features. Some propose that concepts are psychological entities—mental representations or abilities residing in individual minds. Others regard concepts as abstract objects whose existence is independent of human cognition. Because of their nature as general entities that act as categories, concepts raise the problem of universals: whether or in what sense there are universal entities in addition to the particular entities they classify.[114]

Photo of a man with short hair wearing glasses
Rudolf Carnap proposed conceptual engineering as a philosophical method to create precise concepts.[115]

Concepts also play a key role in the method of conceptual analysis.[lower-alpha 8] This method addresses philosophical problems by examining the meanings of concepts, such as knowledge, justice, and beauty. It seeks to identify their components or the necessary and sufficient conditions that govern their proper use. For example, one influential analysis of the concept knowledge identifies three essential components, characterizing it as justified true belief. To confirm or refute such analysis, philosophers use intuitions, thought experiments, and counterexamples to test whether the suggested conditions capture the meaning of the concept and apply to all of its instances.[117]

Conceptual engineering, another concept-based methodology, adopts a more creative approach: it does not merely describe existing concepts but proposes to refine or improve them. Its core motivation is that concepts should be designed to fulfill key philosophical functions rather than adhere rigidly to preexisting linguistic norms. Conceptual engineering can also result in the creation of entirely new concepts to capture novel ideas.[118]

Another philosophical topic addresses how conceptual schemes shape a person's perspective on the world. A conceptual scheme is a set of interrelated concepts that organizes experience and meaning-making. It raises the question of whether different individuals or cultures have fundamentally different experiences of reality and whether there is an objective reality, an idea opposed by some forms of relativism.[119] A related issue in the philosophy of science concerns theory-ladenness: the idea that scientific observation and interpretation of empirical data are influenced by the theoretical frameworks on which scientists rely.[120]

Linguistics

Concepts play a central role in linguistics as the meanings of expressions. Lexical semantics is a subfield that focuses on the meanings of individual words. It explores lexical relations between words, for example, whether two words are synonyms by referring to the same concept or antonyms by referring to opposed concepts.[121] Lexical semantics is further subdivided into semasiology and onomasiology, which differ in their direction of inquiry: semasiology starts from a word and examines its meanings, while onomasiology starts from a meaning and investigates how it is expressed in a particular language.[122] Going beyond the meanings of individual words, compositional semantics studies how several words combine to express complex meanings.[123]

Cognitive semantics, another branch, examines how language and meaning are grounded in human cognition.[124] It is closely related to conceptual semantics, which studies the cognitive structure of concepts and how they connect thought, perception, and action.[125] The interrelation between thought and language is also the topic of the Whorfian hypothesis, which proposes that language shapes thought patterns and that speakers of different languages think differently.[126] A related issue in the philosophy of language asks whether concepts or language are more basic and whether one can exist without the other.[127]

Semantic similarity, another topic in linguistics, is a way of measuring the similarity between semantic contents. For example, the concepts tea and coffee have high semantic similarity because they share many features.[128] Conceptual distance, a related metric, measures the distance between sets of concepts, indicating how difficult it is to understand a topic across disciplines.[129]

Other fields

fMRI image showing the brain from a top view with active areas colored in orange
fMRI is a neuroimaging technique that can measure regional brain activity associated with conceptual processes.[130]

Neuroscientists examine how concepts are stored and used in the brain. Among other things, they explore which brain regions encode concepts and how damage to specific areas influences conceptual activities. A key research method is the use of neuroimaging techniques, such as functional magnetic resonance imaging (fMRI), to study region-specific brain activity, often combined with behavioral analyses to link neural activation patterns with task performance.[131][lower-alpha 9]

Researchers in computer science and artificial intelligence are interested in concepts as formal structures involved in knowledge representation and automated reasoning. They treat concepts as models used to categorize entities and encode information about them. To describe systems with many entities, they employ formal ontologies, such as the Suggested Upper Merged Ontology, which are comprehensive conceptual hierarchies that formalize relationships between concepts. The field of machine learning investigates algorithms that can generalize data from training sets to create and employ novel models of concepts.[133] Cognitive science integrates ideas from psychology, philosophy, linguistics, neuroscience, and computer science to develop unified models of cognition and the role of concepts within it.[134]

Conceptual history is a form of intellectual history that examines the development of concepts and ideas. It typically focuses on fields like science, politics, law, and economics, tracing how their fundamental concepts have evolved over time. It draws on linguistics and social history to study how conceptual developments reflect and shape historical processes.[135]

Concept learning is a pervasive part of education as students grasp new categories, learn to label them, and assess category membership. For example, they learn the concepts fraction in mathematics and photosynthesis in biology. For effective learning, it is usually not sufficient to present students with precise definitions. Instead, educators familiarize students with varied examples, point out contrasts to highlight key features, and engage students in practices to consolidate their understanding. Concept maps, another educational tool, are visual diagrams that use nodes to represent concepts and lines between nodes to represent their relations. Conceptual learning also includes changes to existing concepts in addition to the acquisition of new ones. Students with misguided ideas in fields like biology and physics need to recognize and resolve their misconceptions. One teaching method proceeds by showing students how their current outlooks conflict with real-world observations.[136]

The term concept has a slightly different meaning in the fields of business and marketing, where it refers to a structured idea or plan. A business concept is a concise framework of how to run a business, while a marketing concept is a guiding strategy or philosophy about how to reach customers and fulfill their needs.[137]

In the field of aesthetics, conceptual art is an art form that challenges traditional aesthetic ideals by focusing on underlying ideas and concepts rather than visual appearance or material craftsmanship. For example, Joseph Kosuth's One and Three Chairs presents a real chair alongside a photograph of a chair and a dictionary definition of the word chair, examining the relations among language, picture, and referent.[138] Conceptual art is distinct from concept art, which refers to artworks that explore new ideas for films, video games, and other media, such as preliminary drawings of characters or landscapes.[139]

See also

References

Notes

  1. e.g., the words city and metropolis[8]
  2. For example, the word mouse can denote a small rodent or a computer input device.[9]
  3. Ideasthesia is another concept-related phenomenon in which the activiation of concepts triggers phenomenal experiences. For example, the concept of the letter A may evoke a shade of red.[20]
  4. The neo-classical theory is an attempt to overcome some of these difficulties by weakening the requirements of the classical theory. For example, it holds that concepts encode partial definitions, such as necessary conditions that are not by themselves sufficient.[39]
  5. This view is sometimes combined with the language of thought hypothesis, which argues that concepts and the rules for combining them are analogous to linguistic symbols and grammatical rules.[52]
  6. The debate between empiricism and nativism is not limited to concepts and also engages other domains, such as discussions about inborn knowledge and linguistic capacities.[61]
  7. Another approach relies on Bayesianism and models concept learning in terms of probabilistic beliefs where accurate beliefs about concept membership are reinforced while wrong ones are weakened.[95]
  8. Conceptual analysis is commonly regarded as one of several approaches to philosophy, but some schools see it as the only such method.[116]
  9. For example, connectionism interprets concepts as patterns of activation in neural networks.[132]

Citations

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