Paraconsistent logic is a type of non-classical logic that allows for the coexistence of contradictory statements without leading to a logical explosion...
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Principle of explosion (redirect from Explosion (logic))
(P\wedge \lnot P)} . Paraconsistent logics have been developed that allow for subcontrary-forming operators. Model-theoretic paraconsistent logicians often...
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interpretation for paraconsistent logics) contributed to a revival in the philosophical interpretation of paraconsistent logics. The logics of formal inconsistency...
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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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the monoid identity. This logic is equivalent to an "ideal" paraconsistent logic which also obeys the contrapositive. The logic of here and there (HT, also...
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Intuitionistic logic is related by duality to a paraconsistent logic known as Brazilian, anti-intuitionistic or dual-intuitionistic logic. The subsystem...
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Graham Priest (category Paraconsistent logic)
with the late Richard Sylvan, a fellow proponent of dialetheism and paraconsistent logic. Priest has also published on metaphilosophy (Beyond the Limits of...
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Dialetheism (redirect from Dialetheic logic)
paraconsistent logics. Dialetheists who do not want to allow that every statement is true are free to favour these over traditional, explosive logics...
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Law of thought (redirect from Fundamental rules of logic)
dialetheists will employ a paraconsistent logic of some kind. TBD cf Three-valued logic try this A Ternary Arithmetic and Logic – Semantic Scholar (cf Kleene...
82 KB (11,577 words) - 17:12, 31 May 2024
Consistency (redirect from Consistency (Mathematical Logic))
Walter; Coniglio, Marcelo Esteban (2016). Paraconsistent logic: consistency, contradiction and negation. Logic, Epistemology, and the Unity of Science....
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mathematics (e.g. analysis) based on a foundation of paraconsistent logic instead of classical logic. A number of reformulations of analysis can be developed...
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Contradiction (redirect from Contradiction (logic))
Paraconsistent logic – Type of formal logic without explosion principle Paradox – Statement that apparently contradicts itself Tautology – In logic,...
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violate the law of contradiction of formal logic, although attempts have been made to create a paraconsistent logic. Some Soviet philosophers argued that the...
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Law of noncontradiction (category Classical logic)
Béziau, J. Y. (2000). What is paraconsistent logic. Frontiers of paraconsistent logic, 95-111. Lewis, David (1982), "Logic for equivocators", reprinted...
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Gödel's incompleteness theorems (redirect from Bew (mathematical logic))
usually studied in the context of classical logic, they also have a role in the study of paraconsistent logic and of inherently contradictory statements...
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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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logics are multivalued logics that have an infinite number of "degrees of truth", represented by a real number between 0 and 1. Paraconsistent logics...
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Logical reasoning (redirect from Logic reasoning)
elimination while paraconsistent logics reject the principle of explosion. Deductive reasoning plays a central role in formal logic and mathematics. In...
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than one correct logic. Such as using classical logic in most cases, but using paraconsistent logic to deal with certain paradoxes. Metaphysical pluralism...
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Disjunction introduction (redirect from Addition (logic))
paraconsistent logics because in combination with other rules of logic, it leads to explosion (i.e. everything becomes provable) and paraconsistent logic...
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logic Non-monotonic logic Ordered logic Paraconsistent logic Philosophical logic Predicate logic Propositional logic Provability logic Quantum logic Relevance...
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Negation (redirect from Not (logic))
and intuitionistic logic, they do not work in paraconsistent logic, where contradictions are not necessarily false. In classical logic, we also get a further...
19 KB (2,231 words) - 14:52, 3 July 2024
Disjunctive syllogism (redirect from Elimination (logic))
holds in classical propositional logic and intuitionistic logic, but not in some paraconsistent logics. Stoic logic Type of syllogism (disjunctive, hypothetical...
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side of the sequents. A notable feature of relevance logics is that they are paraconsistent logics: the existence of a contradiction will not necessarily...
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of De Morgan's laws; Linear logic rejects idempotency of entailment as well; Paraconsistent logic (e.g., relevance logic) rejects the principle of explosion...
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new belief makes any logic for belief revision non-monotonic. The belief revision approach is alternative to paraconsistent logics, which tolerate inconsistency...
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Newton da Costa (category Paraconsistent logic)
complexity theory, and abstract logics. Da Costa significantly contributed to the philosophy of logic, paraconsistent modal logics, ontology, and philosophy...
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connective Dialetheism Paraconsistent logic Prasangika Two-truths doctrine Tarka-Sangraha Debates in ancient India Seven valued logic Kenneth Kramer (January...
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1017/S0031819100048063. Priest, G., Sylvan, R., Norman, J., Arruda, A. I. (1989). Paraconsistent Logic: Essays on the Inconsistent. Austria: Philosophia. p .5 Lukasiewicz...
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Nicolai A. Vasiliev (redirect from Imaginary logic)
philosopher, psychologist, poet. He was a forerunner of paraconsistent and multi-valued logics. Vasiliev was born on June 29 O.S., 1880 in Kazan, Russia...
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