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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.
A fundamental distinction is extensional vs intensional type theory. In extensional type theory, definitional (i.e., computational) equality is not distinguished from propositional equality, which requires proof. As a consequence type checking becomes undecidable in
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]
Intensional definitions vs extensional definitions Main articles: Intension and Extension (semantics) An intensional definition , also called a connotative definition, specifies the necessary and sufficient conditions for a thing to be a member of a specific set . [ 3 ]
Bernard Witkin's Summary of California Law, a legal treatise popular with California judges and lawyers. The Constitution of California is the foremost source of state law. . Legislation is enacted within the California Statutes, which in turn have been codified into the 29 California Co
The California Codes are 29 legal codes enacted by the California State Legislature, which, alongside uncodified acts, form the general statutory law of California. The official codes are maintained by the California Office of Legislative Counsel for the legislature.
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 ...
In logic, extensionality, or extensional equality, refers to principles that judge objects to be equal if they have the same external properties. It stands in contrast to the concept of intensionality , which is concerned with whether the internal definitions of objects are the same.