Logic of the tautologies

Authors

  • Manuel Sierra A. Universidad EAFIT

DOI:

https://doi.org/10.17230/ingciencia.8.15.5

Keywords:

Tautology, contradiction, contingency, modal logic, possible worlds.

Abstract

Is presented as extension of classical propositional calculus, the deductive system LT: logic of the tautologies. In the LT system, the meta-logical notions
of tautology, contradiction, refutable and contingency are formalized. The LT system, is characterized as a Kripke-style semantic, and can be seen as an extension of the modal logic system S5.

MSC: 03B45

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Author Biography

  • Manuel Sierra A., Universidad EAFIT
    Magíster en Matemáticas

References

Xavier Caicedo. Elementos de lógica y calculabilidad , ISBN 0824703367. Universidad de Los Andes, 1990.

A. Hamilton. Lógica para matemáticos , ISBN 8428311013. Paraninfo. Madrid, 1981.

Brian F. Chellas. Modal Logic: An Introduction , ISBN 0521295157. Cambridge University Press, 1980.

Saul Kripke. Semantical analysis of modal logic, Zeitschrift f¨ur Mathematische Logik und Grundlagen der Mathematik, ISSN 0044-3050, 9, 67–96 (1966).

Leon Henkin. The completeness of the first order functional calculus, The Journal of Symbolic Logic, ISSN 0022-4812, 14(3), 159–166 (1949).

David Kaplan. Review of Kripke. The Journal of Symbolic Logic, ISSN 0022- 4812, 31, 120–122 (1966).

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Published

2012-06-15

Issue

Vol. 8 No. 15 (2012)

Section

Articles

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How to Cite

Sierra A., M. (2012). Logic of the tautologies. Ingeniería Y Ciencia, 8(15), 96-119. https://doi.org/10.17230/ingciencia.8.15.5

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