What is the logic of propositional identity?

Charles Sayward

DOI: http://dx.doi.org/10.12775/LLP.2006.001

Abstract


Propositional identity is not expressed by a predicate. So its logic is not given by the ordinary first order axioms for identity. What are the logical axioms governing this concept, then? Some axioms in addition to those proposed by Arthur Prior are proposed.

Keywords


propositions; identity; entailment; canceling-out; Geach; Prior; Quine

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References


Anderson, A.R., and N.D. Belnap, Jr., Entailment, Princeton University Press, Princeton, 1975.

Bloom, S.L., and R. Suszko, “Investigations into the Sentential Calculus with Identity”, Notre Dame Journal of Formal Logic 13 (3): 289–308, 1972.

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Hugly, P., and C. Sayward, Intensionality and Truth, Kluwer Academic Press, Dordrecht, 1996.

Prior, A.N., “Oratio Obligua”, Proceedings of the Aristotelian Society, Supplementary Volume 37: 115–26, 1963.

Prior, A.N., “The Correspondence Theory of Truth”, in: Encyclopedia of Philosophy, edited by Paul Edwards, Macmillan, New York and London, 1967.

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Wittgenstein, L., Tractatus Logico-Philosophicus. Introduction by B. Russell. Translated by C.K. Ogden. Routledge & Kegan Paul, London, 1922.




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ISSN: 1425-3305 (print version)
ISSN: 2300-9802 (electronic version)

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