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In philosophical semantics or the philosophy of language, the 'extension' of a concept or expression is the set of things it extends to, or applies to, if it is the sort of concept or expression that a single object by itself can satisfy. Concepts and expressions of this sort are monadic or "one-place" concepts and expressions.
The extension of a sentence can be interpreted as its truth value while its intension is the set of all possible worlds in which it is true. [123] Truth-conditional semantics is closely related to verificationist theories , which introduce the additional idea that there should be some kind of verification procedure to assess whether a sentence ...
Intension. 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 —an intension is any property or quality connoted by a word, phrase, or another symbol. [ 1] In the case of a word, the word's definition often implies an intension.
An intensional definition gives meaning to a term by specifying necessary and sufficient conditions for when the term should be used. In the case of nouns, this is equivalent to specifying the properties that an object needs to have in order to be counted as a referent of the term. For example, an intensional definition of the word "bachelor ...
The reference of a sentence is its truth value, whereas its sense is the thought that it expresses. [ 1] Frege justified the distinction in a number of ways. Sense is something possessed by a name, whether or not it has a reference. For example, the name "Odysseus" is intelligible, and therefore has a sense, even though there is no individual ...
For example, the sentences "Pat loves Chris" and "Chris is loved by Pat" mean roughly the same thing and use similar words. Some linguists, Chomsky in particular, have tried to account for this similarity by positing that these two sentences are distinct surface forms that derive from a common (or very similar [1]) deep structure.
Semantic change. Semantic change (also semantic shift, semantic progression, semantic development, or semantic drift) is a form of language change regarding the evolution of word usage —usually to the point that the modern meaning is radically different from the original usage. In diachronic (or historical) linguistics, semantic change is a ...
Intensional logic. Intensional logic is an approach to predicate logic that extends first-order logic, which has quantifiers that range over the individuals of a universe ( extensions ), by additional quantifiers that range over terms that may have such individuals as their value ( intensions ). The distinction between intensional and ...