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  2. Extensional and intensional definitions - Wikipedia

    en.wikipedia.org/wiki/Extensional_and...

    An extensional definition gives meaning to a term by specifying its extension, that is, every object that falls under the definition of the term in question.. For example, an extensional definition of the term "nation of the world" might be given by listing all of the nations of the world, or by giving some other means of recognizing the members of the corresponding class.

  3. Intension - Wikipedia

    en.wikipedia.org/wiki/Intension

    An extensional statement is a non-intensional statement. Substitution of co-extensive expressions into it always preserves logical value. A language is intensional if it contains intensional statements, and extensional otherwise. All natural languages are intensional. [4]

  4. Definition - Wikipedia

    en.wikipedia.org/wiki/Definition

    Any definition that attempts to set out the essence of something, such as that by genus and differentia, is an intensional definition. An extensional definition, also called a denotative definition, of a concept or term specifies its extension. It is a list naming every object that is a member of a specific set. [3]

  5. Extension (semantics) - Wikipedia

    en.wikipedia.org/wiki/Extension_(semantics)

    In any of several fields of study that treat the use of signs — for example, in linguistics, logic, mathematics, semantics, semiotics, and philosophy of language — the extension of a concept, idea, or sign consists of the things to which it applies, in contrast with its comprehension or intension, which consists very roughly of the ideas, properties, or corresponding signs that are implied ...

  6. Intensional - Wikipedia

    en.wikipedia.org/wiki/Intensional

    See also extensionality, and also intensional definition versus extensional definition; Intensional logic embraces the study of intensional languages: at least one of their functors is intensional. It can be contrasted to extensional logic; Intensional fallacy, committed when one makes an illicit use of Leibniz's law in an argument; See also ...

  7. Class (knowledge representation) - Wikipedia

    en.wikipedia.org/wiki/Class_(knowledge...

    According to an extensional definition, they are abstract groups, sets, or collections of objects. According to an intensional definition, they are abstract objects that are defined by values of aspects that are constraints for being member of the class. The first definition of class results in ontologies in which a class is a subclass of ...

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  9. Extensionality - Wikipedia

    en.wikipedia.org/wiki/Extensionality

    The extensional definition of function equality, discussed above, is commonly used in mathematics. A similar extensional definition is usually employed for relations: two relations are said to be equal if they have the same extensions.