Refutation systems for a system of nonsense-logic
DOI:
https://doi.org/10.12775/LLP.2011.013Keywords
, refutation systems, rejected axioms, Ł-decidabilityAbstract
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.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.
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Published
2011-11-30
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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 17 August 2024]. DOI 10.12775/LLP.2011.013.
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