Paraconsistency and Sette’s calculus P1

• Authors: Ciuciura Janusz
• Languages of publication: EN

Abstracts

EN

In 1973, Sette presented a calculus, called P1, which is recognized as one of the most remarkable paraconsistent systems. The aim of this paper is to propose a new axiomatization of P1. The axiom schemata are chosen to show that P1 behaves in a paraconsistent way only at the atomic level, i.e. the rule: α, ~α / β holds in P1 only if α is not a propositional variable.

Keywords

EN

logic; Sette’s system; P1

• Publisher: Uniwersytet Mikołaja Kopernika (Nicolaus Copernicus University in Toruń)
• Journal: Logic and Logical Philosophy
• Year: 2015
• Volume: 24
• Issue: 2
• Pages: 265–273

Dates

published

2015-06-01

online

2015-02-06

Contributors

author

Ciuciura Janusz

• Department of Logic, University of Łódź, Kopcińskiego 16/18, 90–232 Łódź, Poland

References

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• Pynko, A.P., “Algebraic study of Sette’s maximal paraconsistent logis”, Studia Logica, 54, 1 (1995): 89–128.
• Sette, A.M., “On the propositional calculus P1”, Mathematica Japonicae, 18, 3 (1973): 173–180.
• Sette, A.M., and E.H. Alves “On the equivalence between some systems of non-classical logic”, Bul letin of the Section of Logic, 25, 2 (1973): 68–72.

Identifiers

DOI

10.12775/LLP.2015.003