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Logics, Volume 1, Issue 3 (September 2023) – 2 articles

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6 pages, 230 KiB  
Article
Bilateral Connexive Logic
by Nissim Francez
Logics 2023, 1(3), 157-162; https://doi.org/10.3390/logics1030008 - 04 Aug 2023
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Abstract
This paper proposes a bilateral analysis of connexivity, presenting a bilateral natural deduction system for a weak connexive logic. The proposed logic deviates from other connexive logics and other bilateral logics in the following respects: (1) The logic induces a difference in meaning [...] Read more.
This paper proposes a bilateral analysis of connexivity, presenting a bilateral natural deduction system for a weak connexive logic. The proposed logic deviates from other connexive logics and other bilateral logics in the following respects: (1) The logic induces a difference in meaning between inner and outer occurrences of negation in the connexive axioms. (2) The logic allows incoherence—assertion and denial of the same formula—while still being non-trivial. Full article
9 pages, 1841 KiB  
Essay
Why Logics?
by Jean-Yves Beziau
Logics 2023, 1(3), 148-156; https://doi.org/10.3390/logics1030007 - 05 Jul 2023
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Abstract
In this paper we explain the different meanings of the word “logic” and the circumstances in which it makes sense to use its singular or plural form. We discuss the multiplicity of logical systems and the possibility of developing a unifying theory about [...] Read more.
In this paper we explain the different meanings of the word “logic” and the circumstances in which it makes sense to use its singular or plural form. We discuss the multiplicity of logical systems and the possibility of developing a unifying theory about them, not itself a logical system. We undertake some comparisons with other sciences, such as biology, physics, mathematics, and linguistics. We conclude by delineating the origin, scope, and future of the journal Logics. Full article
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