Relevance logic, also called relevant logic, is a kind of non-classical logic requiring the antecedent and consequent of implications to be relevantly...
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theorists[who?] have sought to account for relevance in terms of "possible world logics" in intensional logic. Roughly, the idea is that necessary truths...
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principle of explosion found in classical logic. Relevance logic is a prominent form of paraconsistent logic. It rejects the purely truth-functional interpretation...
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associativity. Two of the more significant substructural logics are relevance logic and linear logic. In a sequent calculus, one writes each line of a proof...
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illustration of how a paraconsistent logic can work. One important type of paraconsistent logic is relevance logic. A logic is relevant if it satisfies the...
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philosophical logic, particularly from the 1950s onwards, in subjects such as modal logic, temporal logic, deontic logic, and relevance logic. The Nasadiya...
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logic Kleene algebra (with involution) Łukasiewicz logic MV-algebra Post logic Principle of bivalence A. N. Prior Relevance logic Philosophical logic...
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dialetheism; Quantum logic Relevance logic, linear logic, and non-monotonic logic reject monotonicity of entailment; Non-reflexive logic (also known as "Schrödinger...
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evidence in legal proceedings Relevance logic, mathematical logic system that imposes certain restrictions on implication Relevance theory, cognitive theory...
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Conditional (redirect from Conditional (logic))
propositional calculus, or logical calculus in mathematics Relevance conditional, in relevance logic Conditional (computer programming), a statement or expression...
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Alan Ross Anderson (section Relevance logic)
Nuel Belnap, Anderson was instrumental in the development of relevance logic and deontic logic. Anderson died of cancer in 1973. Anderson believed that the...
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relation of approximation. This semantics of bunched logic draws on prior work in relevance logic (especially the operational semantics of Routley–Meyer)...
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Drinker paradox (category Predicate logic)
imply causation or Relevance logic for logics that demand relevant relationships between premise and consequent, unlike classical logic assumed here). The...
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Boolean algebra (redirect from Laws of classical logic)
only two choices. So by definition, x → y is true when x is false (relevance logic rejects this definition, by viewing an implication with a false premise...
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Formal fallacy (redirect from Non sequitur (logic))
inference Paradox – Logically self-contradictory statement Relevance logic – A kind of non-classical logic Scientific misconceptions – False beliefs about science...
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Logic is the study of correct reasoning. It includes both formal and informal logic. Formal logic is the study of deductively valid inferences or logical...
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logic Relevance logic Sequential logic Spatial logic Strict logic Substructural logic Syllogistic logic Symbolic logic Temporal logic Term logic Topical...
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materialism – Reformational philosophy – Relationalism – Relativism – Relevance logic – Reliabilism – Religion, philosophy of – Religious language, philosophy...
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Richard Sylvan (section Work in logic and metaphysics)
development and study of relevance logic. In 1972, Sylvan (in a paper co-authored with Plumwood) proposed semantics for certain relevant logics that had been developed...
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Cooperative principle (redirect from Grice's maxim of relevance)
entrainment Politeness theory Question under discussion Relevance theory Grice, Paul (1975). "Logic and conversation". In Cole, P.; Morgan, J. (eds.). Syntax...
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Hypothetical syllogism (category Theorems in propositional logic)
classical logic, intuitionistic logic, most systems of relevance logic, and many other systems of logic. However, it does not hold in all logics, including...
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logic, or minimal calculus, is a symbolic logic system originally developed by Ingebrigt Johansson. It is an intuitionistic and paraconsistent logic,...
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In logic and semantics, the term statement is variously understood to mean either: a meaningful declarative sentence that is true or false,[citation needed]...
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necessity Modal verb Multimodal logic Multi-valued logic Neighborhood semantics Provability logic Regular modal logic Relevance logic Strict conditional Two-dimensionalism...
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Vacuous truth (category Mathematical logic)
vacuous truth under the strict conditional. Other non-classical logics, such as relevance logic, may attempt to avoid vacuous truths by using alternative conditionals...
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Fallacy (redirect from Broken logic)
subdivided into categories such as linguistic, relevance through omission, relevance through intrusion, and relevance through presumption. Alternatively, fallacies...
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Monotonicity of entailment (redirect from Monotonic logic)
most logics, weakening is either an inference rule or a metatheorem if the logic doesn't have an explicit rule. Notable exceptions are: Relevance logic, where...
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Truth value (redirect from Truth (logics))
interpretation and Intuitionistic logic § Semantics. Multi-valued logics (such as fuzzy logic and relevance logic) allow for more than two truth values...
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Lindenbaum–Tarski algebra (category Algebraic logic)
⊢φ→ψ does not imply ⊢□φ→□ψ). Another type of logic where Tarski's method is inapplicable is relevance logics, because given two theorems an implication...
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Structural rule (redirect from Weakening (logic))
displaying wikidata descriptions as a fallback Relevance logic – A kind of non-classical logic Separation logic – Concept in computer science Gentzen, Gerhard...
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