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Karel Lambert, who coined the term "free logic", has suggested that free logic can be understood as a generalization of classical predicate logic just as predicate logic is a generalization of Aristotelian logic. On this view, classical predicate logic introduces predicates with an empty extension while free logic introduces singular terms of ...
Philosophy of logic is the area of philosophy that studies the scope and nature of logic. It investigates the philosophical problems raised by logic, such as the presuppositions often implicitly at work in theories of logic and in their application.
Logic is the formal science of using reason and is considered a branch of both philosophy and mathematics and to a lesser extent computer science. Logic investigates and classifies the structure of statements and arguments, both through the study of formal systems of inference and the study of arguments in natural language .
Two early contenders in formal verifications were linear temporal logic, a linear-time logic by Amir Pnueli, and computation tree logic (CTL), a branching-time logic by Mordechai Ben-Ari, Zohar Manna and Amir Pnueli. An almost equivalent formalism to CTL was suggested around the same time by E. M. Clarke and E. A. Emerson.
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Logic was Leibniz's earliest philosophic interest, going back to his teens. René Descartes had suggested that the lexicon of a universal language should consist of primitive elements. [ 4 ] The systematic combination of these elements, according to syntactical rules, would generate the infinite combinations of computational structures required ...
Given the linguistic turn, it can be hard to separate logic, metaphysics, and the philosophy of language in analytic philosophy. Philosophy of language is a topic that has decreased in activity during the last four decades, as evidenced by the fact that few major philosophers today treat it as a primary research topic.
In Deviant Logic (1974) Susan Haack divided non-classical logics into deviant, quasi-deviant, and extended logics. [4] The proposed classification is non-exclusive; a logic may be both a deviation and an extension of classical logic. [5] A few other authors have adopted the main distinction between deviation and extension in non-classical logics.