Łukasiewicz, Supervaluations and the Future

Logic and Philosophy of Science 3:1-10 (2005)
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Abstract

A B S T R AC T: In this paper I consider an interpretation of future contingents which motivates a unification of a Łukasiewicz-style logic with the more classical supervaluational semantics. This in turn motivates a new non-classical logic modelling what is “made true by history up until now. ” I give a simple Hilbert-style proof theory, and a soundness and completeness argument for the proof theory with respect to the intended models

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Greg Restall
University of Melbourne

Citations of this work

Truthmakers, entailment and necessity.Greg Restall - 1996 - Australasian Journal of Philosophy 74 (2):331 – 340.
Pluralism and Proofs.Greg Restall - 2014 - Erkenntnis 79 (S2):279-291.
An expansion of first-order Belnap-Dunn logic.K. Sano & H. Omori - 2014 - Logic Journal of the IGPL 22 (3):458-481.
Future Contradictions.Jc Beall - 2012 - Australasian Journal of Philosophy 90 (3):547-557.

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References found in this work

Singular terms, truth-value gaps, and free logic.Bas C. van Fraassen - 1966 - Journal of Philosophy 63 (17):481-495.
Constructible falsity.David Nelson - 1949 - Journal of Symbolic Logic 14 (1):16-26.
Indeterminism and the Thin Red Line.Nuel Belnap & Mitchell Green - 1994 - Philosophical Perspectives 8:365 - 388.

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