Truth and the Open Future: The Solution to Aristotle's Sea Battle Challenge with the Principle of Bivalence Retained

Abstract

The talk deals with Aristotle’s famous sea-battle problem concerning the truth values of sentences about contingent future events: If an utterance of the sentence “There will be a sea battle tomorrow” is true, then it seems that it is determined that there will be a sea battle tomorrow. For otherwise, how could the utterance be true? If, however, an utterance of the sentence “There will be a sea battle tomorrow” is false, then it seems that it is determined that there will be no sea battle tomorrow. For otherwise, how could the utterance be false? Thus, it seems that it is determined whether there will be a sea battle tomorrow or not – and so for any future event whatsoever. This, however, is in conflict with the assumption that there is such a thing as an open future, i.e., that at least for some future events, it is not determined whether they will take place or not. Some have argued, in light of this problem, that sentences about f uture events are neither true nor false. In this talk, however, it shall be argued that the sea-battle problem can be resolved in an intuitively plausible manner without giving up the principle of bivalence.

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References found in this work

The unreality of time.John Ellis McTaggart - 1908 - Mind 17 (68):457-474.
Facing the future: agents and choices in our indeterminist world.Nuel D. Belnap - 2001 - New York: Oxford University Press. Edited by Michael Perloff & Ming Xu.
Time and Necessity: Studies in Aristotle’s Theory of Modality.Jaakko Hintikka - 1973 - Revue Philosophique de la France Et de l'Etranger 166 (2):227-227.
Change, Cause and Contradiction.Robin Le Poidevin - 1991 - Philosophical Quarterly 44 (176):406-409.
Aristotle and the Sea Battle.G. E. M. Anscombe - 1956 - Journal of Symbolic Logic 21 (4):388-389.

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