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

Modal logics explore concepts like possibility and necessity, examining the inferential structure of these concepts. Intuitionistic, paraconsistent, and...

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

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

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

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

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

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

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

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

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

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...

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

these ideas work in both classical and intuitionistic logic, they do not work in paraconsistent logic, where contradictions are not necessarily false. As...

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

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

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

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

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

and liar paradoxes), and his many writings related to paraconsistent and other non-classical logics. In these he draws on the history of philosophy, including...

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

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

speech Paraconsistent logic – Type of formal logic without explosion principle Paradox – Logically self-contradictory statement Tautology – In logic, a statement...

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

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

element Noise-based logic Paraconsistent logic Rough set Sorites paradox Trinary logic Type-2 fuzzy sets and systems Vector logic Novák, V.; Perfilieva...

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

Béziau works in the field of logic—in particular, paraconsistent logic, the square of opposition and universal logic. He holds a Maîtrise in Philosophy...

B)\equiv (C\equiv B))\equiv C)} Paraconsistent logic § Included — a list of axiom schemas for a paraconsistent logic of the Hilbert style Yasuyuki Imai...

is considered by some to be the complete opposite of skepticism. Paraconsistent logics may use "the law of non-triviality" to abstain from trivialism in...