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In this sense, it forms one area of the philosophy of logic. [1] Central to philosophical logic is an understanding of what logic is and what role philosophical logics play in it. Logic can be defined as the study of valid inferences. [4] [6] [9] An inference is the step of reasoning in which it moves from the premises to a conclusion. [10]
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 .
Philosophy of logic is the area of philosophy that studies the nature of logic. [1] [2] Like many other disciplines, logic involves various philosophical presuppositions which are addressed by the philosophy of logic. [3]
Philosophy is the study of general and fundamental problems concerning matters such as existence, knowledge, values, reason, mind, and language. [1] [2] It is distinguished from other ways of addressing fundamental questions (such as mysticism, myth) by being critical and generally systematic and by its reliance on rational argument. [3]
Logic plays a central role in many fields, such as philosophy, mathematics, computer science, and linguistics. Logic studies arguments, which consist of a set of premises that leads to a conclusion. An example is the argument from the premises "it's Sunday" and "if it's Sunday then I don't have to work" leading to the conclusion "I don't have ...
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.
Stoicism is a school of philosophy which developed in the Hellenistic period around a generation after the time of Aristotle. [4] The Stoics believed that the universe operated according to reason, i.e. by a God which is immersed in nature itself. [4] Logic (logike) was the part of philosophy which examined reason (logos). [5]
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 ...