Intensional
Encyclopedia
Intensional
- in philosophy of language: not extensionalExtensionalIn philosophy of language, a context in which a sub-sentential expression e appears is called extensional if and only if e can be replaced by an expression with the same extension and necessarily preserve truth-value. The extension of a term is the set of objects that that term denotes.Take the...
. See also intensional definitionIntensional definitionIn logic and mathematics, an intensional definition gives the meaning of a term by specifying all the properties required to come to that definition, that is, the necessary and sufficient conditions for belonging to the set being defined....
versus extensional definitionExtensional definitionAn extensional definition of a concept or term formulates its meaning by specifying its extension, that is, every object that falls under the definition of the concept or term in question....
. - in philosophy of mind: an intensional state is a state which has a propositional content.
- in mathematical logic: see intensional statementIntensional statementIn logic, an intensional statement-form is a statement-form with at least one instance such that substituting co-extensive expressions into it does not always preserve logical value. An intensional statement is a statement that is an instance of an intensional statement-form. Here co-extensive...
. See also extensionalityExtensionalityIn logic, extensionality, or extensional equality refers to principles that judge objects to be equal if they have the same external properties...
, and also intensional definition versus extensional definition - Intensional logicIntensional logicIntensional logic is an approach to predicate logic that extends first-order logic, which has quantifiers that range over the individuals of a universe , by additional quantifiers that range over terms that may have such individuals as their value...
embraces the study of intensional languages: at least one of their functors is intensional. It can be contrasted to extensional logic. - See also: Musical formMusical formThe term musical form refers to the overall structure or plan of a piece of music, and it describes the layout of a composition as divided into sections...
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