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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 .
In logic, extensional and intensional definitions are two key ways in which the objects, concepts, or referents a term refers to can be defined. They give meaning or denotation to a term. Intensional definition
A language is intensional if it contains intensional statements, and extensional otherwise. All natural languages are intensional. [3] The only extensional languages are artificially constructed languages used in mathematical logic or for other special purposes and small fragments of natural languages.
In philosophical logic, the masked-man fallacy (also known as the intensional fallacy or epistemic fallacy) [1] is committed when one makes an illicit use of Leibniz's law in an argument. Leibniz's law states that if A and B are the same object, then A and B are indiscernible (that is, they have all the same properties).
Montague grammar is an approach to natural language semantics, named after American logician Richard Montague.The Montague grammar is based on mathematical logic, especially higher-order predicate logic and lambda calculus, and makes use of the notions of intensional logic, via Kripke models.
Transparent intensional logic (frequently abbreviated as TIL) is a logical system created by Pavel Tichý. Due to its rich procedural semantics TIL is in particular apt for the logical analysis of natural language. From the formal point of view, TIL is a hyperintensional, partial, typed lambda calculus.
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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 languages: at least one of their functors is intensional. It can ...