Results 21 to 30 of about 3,744 (159)
Paracomplete logics which are dual to the paraconsistent logics L3A and L3B [PDF]
In 2016 Beziau, introduce a more restricted concept of paraconsistency, namely the genuine paraconsistency. He calls genuine paraconsistent logic those logic rejecting φ, ¬φ |- ψ and |- ¬(φ ∧ ¬φ).
Borja-Macı́as, Verónica +2 more
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Incoherency Problems in a Combination of Description Logics and Rules
A paraconsistent semantics has been presented for hybrid MKNF knowledge bases—a combination method for description logics and rules. However, it is invalid when incoherency occurs in the knowledge base. In this paper, we introduce a semi-S5 semantics for
Shasha Huang, Jing Hao, Dang Luo
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Nicolai Vasiliev’s Imaginary Logic and Semantic Foundations for the Logic of Assent
The Russian philosopher Nicolai Vasiliev is known as a forerunner of substantially non-classical logics, i.e., logics that differ from classical logic by dropping principles that are sound in classical logic.
Werner Stelzner
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In the literature, Weak Kleene logics are usually taken as three-valued logics. However, Suszko has challenged the main idea of many-valued logic claiming that every logic can be presented in a two-valued fashion.
BRUNO DA RÉ, DAMIAN SZMUC
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Inconsistency, paraconsistency and ω-inconsistency [PDF]
In this paper I'll explore the relation between ω-inconsistency and plain inconsistency, in the context of theories that intend to capture semantic concepts. In particular, I'll focus on two very well known inconsistent but non-trivial theories of truth:
Da Re, Bruno
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Ancestor Worship in The Logic of Games. How foundational were Aristotle's contributions?
Notwithstanding their technical virtuosity and growing presence in mainstream thinking, game theoretic logics have attracted a sceptical question: "Granted that logic can be done game theoretically, but what would justify the idea that this is the ...
John Woods
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Real Analysis in Paraconsistent Logic [PDF]
A logic \(S\) is paraconsistent if it lacks the rule ECQ (``ex contradictione quodlibet'', i.e., \(A,\lnot A\Rightarrow B\)) or, from another point of view, if inconsistent theories built upon \(S\) are not necessarily trivial (i.e., do not necessarily contain every well-formed formula). Paraconsistent mathematics is the development of mathematics in a
McKubre-Jordens, M, Weber, Z
openaire +3 more sources
On Paracomplete Versions of Jaśkowski's Discussive Logic
Jaśkowski's discussive (discursive) logic D2 is historically one of the first paraconsistent logics, i.e., logics which 'tolerate' contradictions. Following Jaśkowski's idea to define his discussive logic by means of the modal logic S5 via special ...
Krystyna Mruczek-Nasieniewska +2 more
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Natural Deduction System in Paraconsistent Setting: Proof Search for PCont
This paper continues a systematic approach to build natural deduction calculi and corresponding proof procedures for non-classical logics. Our attention is now paid to the framework of paraconsistent logics.
Bolotov Alexander, Shangin Vasilyi
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TOWARDS A PHILOSOPHICAL UNDERSTANDING OF THE LOGICS OF FORMAL INCONSISTENCY
In this paper we present a philosophical motivation for the logics of formal inconsistency, a family of paraconsistent logics whose distinctive feature is that of having resources for expressing the notion of consistency within the object language in ...
WALTER CARNIELLI, ABÍLIO RODRIGUES
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