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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 ...
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.
Example b. Many girls has a truth value of true iff there are many girls who are tall. This quantifier is satisfied with more than 1 instance of a girl being tall. Example c. Every girl has a truth value of true iff every girl is tall. This quantifier requires for all girls, that every instance of a person being female, she must be tall. Example d.
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 extensional context (or transparent context) is a syntactic environment in which a sub-sentential expression e can be replaced by an expression with the same extension and without affecting the truth-value of the sentence as ...
Arguments to definition are aimed to include certain objects into the extension of given definition – sometimes this might be the end of reasoning ("this is racism"). Obviously, the semantic modification is being introduced through persuasive definition in definition premise. Individual Premise: A possesses some property F.
In linguistics, semantic analysis is the process of relating syntactic structures, from the levels of words, phrases, clauses, sentences and paragraphs to the level of the writing as a whole, to their language-independent meanings. It also involves removing features specific to particular linguistic and cultural contexts, to the extent that ...
Frame semantics is a theory of linguistic meaning developed by Charles J. Fillmore [1] that extends his earlier case grammar. It relates linguistic semantics to encyclopedic knowledge. The basic idea is that one cannot understand the meaning of a single word without access to all the essential knowledge that relates to that word.
In logic, the semantics of logic or formal semantics is the study of the semantics, or interpretations, of formal languages and (idealizations of) ...