Paraconsistent logic is a type of non-classical logic that allows for the coexistence of contradictory statements without leading to a logical explosion...

(P\wedge \lnot P)} . Paraconsistent logics have been developed that allow for subcontrary-forming operators. Model-theoretic paraconsistent logicians often...

interpretation for paraconsistent logics) contributed to a revival in the philosophical interpretation of paraconsistent logics. The logics of formal inconsistency...

principle of explosion found in classical logic. Relevance logic is a prominent form of paraconsistent logic. It rejects the purely truth-functional interpretation...

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...

Intuitionistic logic is related by duality to a paraconsistent logic known as Brazilian, anti-intuitionistic or dual-intuitionistic logic. The subsystem...

with the late Richard Sylvan, a fellow proponent of dialetheism and paraconsistent logic. Priest has also published on metaphilosophy (Beyond the Limits of...

paraconsistent logics. Dialetheists who do not want to allow that every statement is true are free to favour these over traditional, explosive logics...

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...

Walter; Coniglio, Marcelo Esteban (2016). Paraconsistent logic: consistency, contradiction and negation. Logic, Epistemology, and the Unity of Science....

mathematics (e.g. analysis) based on a foundation of paraconsistent logic instead of classical logic. A number of reformulations of analysis can be developed...

Paraconsistent logic – Type of formal logic without explosion principle Paradox – Statement that apparently contradicts itself Tautology – In logic,...

violate the law of contradiction of formal logic, although attempts have been made to create a paraconsistent logic. Some Soviet philosophers argued that the...

Béziau, J. Y. (2000). What is paraconsistent logic. Frontiers of paraconsistent logic, 95-111. Lewis, David (1982), "Logic for equivocators", reprinted...

usually studied in the context of classical logic, they also have a role in the study of paraconsistent logic and of inherently contradictory statements...

logic, or minimal calculus, is a symbolic logic system originally developed by Ingebrigt Johansson. It is an intuitionistic and paraconsistent logic,...

logics are multivalued logics that have an infinite number of "degrees of truth", represented by a real number between 0 and 1. Paraconsistent logics...

elimination while paraconsistent logics reject the principle of explosion. Deductive reasoning plays a central role in formal logic and mathematics. In...

than one correct logic. Such as using classical logic in most cases, but using paraconsistent logic to deal with certain paradoxes. Metaphysical pluralism...

paraconsistent logics because in combination with other rules of logic, it leads to explosion (i.e. everything becomes provable) and paraconsistent logic...

logic Non-monotonic logic Ordered logic Paraconsistent logic Philosophical logic Predicate logic Propositional logic Provability logic Quantum logic Relevance...

and intuitionistic logic, they do not work in paraconsistent logic, where contradictions are not necessarily false. In classical logic, we also get a further...

holds in classical propositional logic and intuitionistic logic, but not in some paraconsistent logics. Stoic logic Type of syllogism (disjunctive, hypothetical...

side of the sequents. A notable feature of relevance logics is that they are paraconsistent logics: the existence of a contradiction will not necessarily...

of De Morgan's laws; Linear logic rejects idempotency of entailment as well; Paraconsistent logic (e.g., relevance logic) rejects the principle of explosion...

new belief makes any logic for belief revision non-monotonic. The belief revision approach is alternative to paraconsistent logics, which tolerate inconsistency...

complexity theory, and abstract logics. Da Costa significantly contributed to the philosophy of logic, paraconsistent modal logics, ontology, and philosophy...

connective Dialetheism Paraconsistent logic Prasangika Two-truths doctrine Tarka-Sangraha Debates in ancient India Seven valued logic Kenneth Kramer (January...

1017/S0031819100048063. Priest, G., Sylvan, R., Norman, J., Arruda, A. I. (1989). Paraconsistent Logic: Essays on the Inconsistent. Austria: Philosophia. p .5 Lukasiewicz...

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...