Logic in Algebraic Form: Three Languages and Theories

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The history of logic deals with the study of the development of the science of valid inference ().Formal logics developed in ancient times in India, China, and Greece.Greek methods, particularly Aristotelian logic (or term logic) as found in the Organon, found wide application and acceptance in Western science and mathematics for millennia. The Stoics, especially …
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15/11/2016 · Fuzzy logic is intended to model logical reasoning with vague or imprecise statements like “Petr is young (rich, tall, hungry, etc.)”. It refers to a family of many-valued logics, where the truth-values are interpreted as degrees of truth.The truth-value of a logically compound proposition, like “Carles is tall and Chris is rich”, is determined by the truth-value of its …
MATH 27800. Mathematical Logic II. 100 Units. Topics include number theory, Peano arithmetic, Turing compatibility, unsolvable problems, Gödel's incompleteness theorem, undecidable theories (e.g., the theory of groups), quantifier elimination, and decidable theories (e.g., the theory of algebraically closed fields).

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