Refutation systems for a system of nonsense-logic

Authors

  • Robert Sochacki Opole University

DOI:

https://doi.org/10.12775/LLP.2011.013

Keywords

, refutation systems, rejected axioms, Ł-decidability

Abstract

In the paper rejection systems for a system of nonsense-logic are investigated. The first rejection system consists of four rejected axioms and only one rejection rule  the rule of rejection by detachment. The second one consists of one rejected axiom and two rejection rules: the rule of rejection by detachment and the rule of rejection by substitution. The aim of the paper is to present also a proof of Ł-decidability for the considered systems.

Author Biography

Robert Sochacki, Opole University

Institute of Philosophy

References

Bryll, G., Refutation Methods of Formulas (in Polish), Akademicka Oficyna Wydawnicza, Warszawa 1996.

Łukasiewicz, J., “Problems in logic and philosophy” (in Polish), in: “Z zagadnień logiki i filozofii”, selected works, edited by J. Słupecki, PWN, Warszawa 1961.

Piróg-Rzepecka, K., Nonsense-Logics Systems (in Polish), OTPN-PWN, Warszawa–Wrocław 1977.

Sochacki, R., Refutation Methods in the Study of Logical Systems (in Polish), Wydawnictwo Uniwersytetu Opolskiego, Opole 2010.

Logic and Logical Philosophy

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Published

2011-11-30

How to Cite

1.
SOCHACKI, Robert. Refutation systems for a system of nonsense-logic. Logic and Logical Philosophy. Online. 30 November 2011. Vol. 20, no. 3, pp. 233-239. [Accessed 6 July 2025]. DOI 10.12775/LLP.2011.013.

Issue

Vol. 20 No. 3 (2011)

Section

Articles

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Number of views and downloads: 582
Number of citations: 2

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