Non-classical logic

Non-classical logic

Non-classical logics (and sometimes alternative logics) are formal systems that differ in a significant way from standard logical systems such as propositional and predicate logic. There are several ways in which this is done, including by way of extensions, deviations, and variations. The aim of these departures is to make it possible to construct different models of logical consequence and logical truth. Philosophical logic is understood to encompass and focus on non-classical logics, although the term has other meanings as well. In addition, some parts of theoretical computer science can be thought of as using non-classical reasoning, although this varies according to the subject area. For example, the basic boolean functions (e.g. AND, OR, NOT, etc) in computer science are very much classical in nature, as is clearly the case given that they can be fully described by classical truth tables. However, in contrast, some computerized proof methods may not use classical logic in the reasoning process. (Wikipedia).

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From playlist Programming

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From playlist Logic & Philosophy of Mathematics

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From playlist Algebra

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From playlist Wolfram Technology Conference 2022

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Micaela Mayero - Overview of real numbers in theorem provers: application with real analysis in Coq

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From playlist 2023 Machine Assisted Proofs Workshop

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From playlist US-India Advanced Studies Institute: Classical and Quantum Information

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From playlist Algebraic and Analytic Aspects of Automorphic Forms 2019

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From playlist Injective, Surjective, and Bijective Functions

Related pages

Quantum logic | Relevance logic | Truth value | Dialetheism | Negation | Theoretical computer science | Theorem | Non-monotonic logic | Principle of explosion | Logical consequence | Automated theorem proving | Computability logic | Well-formed formula | Logical truth | Many-sorted logic | Schrödinger logic | Logical disjunction | Conservative extension | Leibniz operator | Modal logic | Many-valued logic | Reflexive relation | Linear logic | De Morgan's laws | Truth table | Paraconsistent logic | Logical constant | Truth function | Three-valued logic | Abstract algebraic logic | Deviant logic | Intuitionistic logic | Formal system | Logical connective | Boolean algebra | Law of excluded middle | Logical conjunction | Classical logic | Fuzzy logic | Dynamic semantics