Bourne on future contingents and three-valued logic
DOI:
https://doi.org/10.12775/LLP.2009.003Keywords
Łukasiewicz, Bourne, three-valued logic, partial logic, truth-value gap, future contingents, alethic modalityAbstract
Recently, Bourne constructed a system of three-valued logic that he supposed to replace Łukasiewicz’s three-valued logic in view of the problems of future contingents. In this paper, I will show first that Bourne’s system makes no improvement to Łukasiewicz’s system. However, finding some good motivations and lessons in his attempt, next I will suggest a better way of achieving his original goal in some sense. The crucial part of my way lies in reconsidering the significance of the intermediate truth-value so as to reconstruct Łukasiewicz’s three-valued logic as a kind of extensional modal logic based on partial logic.
References
Bourne, C., “Future contingents, non-contradiction, and the Law of excluded middle muddle”, Analysis 64 (2004): 122–28.
Bourne, C., A Future for Presentism, Cambridge University Press, Cambridge, 2006.
Font, J.M., and P. Hájek, “On Łukasiewicz’s four-valued modal logic”, Studia Logica 70 (2002): 157–182.
Kachi, D., “Validity in Simple Partial Logic”, The Annals of the Japan Association for Philosophy of Science 10 (2002): 139–153.
Kachi, D., “Tensed ontology based on Simple Partial Logic”, in: Proceedings of Ninth Internaional Symposium on Temporal Representation and Reasoning:
Kleene, S.C., Introduction to Metamahtematics, North-Holland, Amsterdam, 1967.
Łukasiewicz, J., “On three-valued logic”, 1920, in: L. Borkowski, (ed.), Jan Łukasiewicz Selected Works, North-Holland, Amsterdam, 1970, pp. 87–88.
Łukasiewicz, J., “Philosophical remarks on many-valued systems of propositional logic”, 1930, in: L. Borkowski (ed.), Jan Łukasiewicz Selected Works, North-Holland, Amsterdam, 1970, pp. 153–178.
Prior, A.N., “Three-valued logic and future contingents”, Philosophical Quarterly 3 (1953): 317–326.
Urquhart, A., “Many-valued Logic”, in: D. Gabbay and F. Guenthner (eds.), Handbook of Philosophical Logic, Vol. III, North-Holland, Amsterdam, 1970, pp. 71–116.
Woodruff, P.W., “Logic and truth-value gaps”, in: K. Lambert (ed.), Philosophical Problems in Logic, D. Reidel, Dordrecht, 1970, pp. 121–142.
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