Paraconsistent logic: A relation of logical consequence, $ \vdash $, on a set of sentences, $ S $, is explosive if and only if for all $ \alpha, \beta \in S $, $$ \alpha, \neg \alpha \vdash \beta , $$ where "¬" is negation. A relation, and the logic that possesses it ... (Mathematics) [100%] 2023-10-18
Paraconsistent logic: A paraconsistent logic is an attempt at a logical system to deal with contradictions in a discriminating way. Alternatively, paraconsistent logic is the subfield of logic that is concerned with studying and developing "inconsistency-tolerant" systems of logic which reject ... (Philosophy) [100%] 2023-02-17 [Paraconsistent logic] [Belief revision]...
Paraconsistent logic: Paraconsistent logic refers to alternative (non-classical) systems of logic which reject the principle of explosion, which states that once a contradiction has been asserted, any proposition can be inferred from it. Some (but not all) paraconsistent logics are also ... [100%] 2023-02-11 [Logic] [Mathematics]...
Paraconsistent logic: A paraconsistent logic is an attempt at a logical system to deal with contradictions in a discriminating way. Alternatively, paraconsistent logic is the subfield of logic that is concerned with studying and developing "inconsistency-tolerant" systems of logic which reject ... (Type of formal logic without explosion principle) [100%] 2023-11-07 [Paraconsistent logic] [Belief revision]...
Paraconsistent Logic: Contemporary logical orthodoxy has it that, from contradictory premises, anything follows. A logical consequence relation is explosive if according to it any arbitrary conclusion \(B\) is entailed by any arbitrary contradiction \(A\), \(\neg A\) (ex contradictione quodlibet (ECQ)). (Philosophy) [100%] 2021-12-25
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