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Logic is the study of proof and deduction as manifested in language (abstracting from any underlying psychological or biological processes). [1] Logic is not a closed, completed science, and presumably, it will never stop developing: the logical analysis can penetrate into varying depths of the language [2] (sentences regarded as atomic, or splitting them to predicates applied to individual ...
An intensional definition may also consist of rules or sets of axioms that define a set by describing a procedure for generating all of its members. For example, an intensional definition of square number can be "any number that can be expressed as some integer multiplied by itself". The rule—"take an integer and multiply it by itself ...
A language is intensional if it contains intensional statements, and extensional otherwise. All natural languages are intensional. [ 4 ] 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).
He worked in the field of intensional logic and founded transparent intensional logic, an original theory of the logical analysis of natural languages – the theory is devoted to the problem of saying exactly what it is that we learn, know and can communicate when we come to understand what a sentence means. He spent roughly 25 years working ...
A possible world is a complete and consistent way the world is or could have been. Possible worlds are widely used as a formal device in logic, philosophy, and linguistics in order to provide a semantics for intensional and modal logic.
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.
Alice Geraldine Baltina ter Meulen (born 4 March 1952) is a Dutch linguist, logician, and philosopher of language whose research topics include genericity in linguistics, intensional logic, generalized quantifiers, discourse representation theory, and the linguistic representation of time.