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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.
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]
See also intensional definition versus extensional definition; in philosophy of mind: an intensional state is a state which has a propositional content; in mathematical logic: see intensional statement. See also extensionality, and also intensional definition versus extensional definition; Intensional logic embraces the study of intensional ...
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]
Mind - The energy and intelligence that animates all life, both in its physical form and in the formless. The Universal Mind, often referred to as "wisdom" or the "impersonal" mind, is constant and unchanging, acting as the source of innate health and well-being. In contrast, the personal mind is in a continuous state of flux.
A mental state, or a mental property, is a state of mind of a person. Mental states comprise a diverse class, including perception, pain/pleasure experience, belief, desire, intention, emotion, and memory. There is controversy concerning the exact definition of the term.
Intensional 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 .
It is typical (e.g., in university logic texts) to distinguish a number of different kinds and techniques of definition, including dictionary or lexical definition, intensional definition, extensional definition, ostensive definition, stipulative definition, operational definition, theoretical definition, persuasive definition, and definition ...