An Interpretation of Łukasiewicz’s 4-Valued Modal Logic

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Journal of Philosophical Logic 45 (1):73-87 (2016)
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Abstract

A simple, bivalent semantics is defined for Łukasiewicz’s 4-valued modal logic Łm4. It is shown that according to this semantics, the essential presupposition underlying Łm4 is the following: A is a theorem iff A is true conforming to both the reductionist and possibilist theses defined as follows: rt: the value of modal formulas is equivalent to the value of their respective argument iff A is true, etc.); pt: everything is possible. This presupposition highlights and explains all oddities arising in Łm4

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10.1007/s10992-015-9362-x

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Author Profiles

Gemma Robles
Universidad de León
José M. Méndez
Universidad de Salamanca
Francisco Salto
Universidad de León

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References found in this work

Introduction to mathematical logic.Alonzo Church - 1944 - Princeton,: Princeton University Press. Edited by C. Truesdell.
Introduction to mathematical logic..Alonzo Church - 1944 - Princeton,: Princeton university press: London, H. Milford, Oxford university press. Edited by C. Truesdell.
An introduction to modal logic.G. E. Hughes - 1968 - London,: Methuen. Edited by M. J. Cresswell.
Introduction to mathematical logic.Alonso Church - 1958 - Revue de Métaphysique et de Morale 63 (1):118-118.

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