Abstract
We have already had occasion to consider whether certain conditions on the U-relation are or are not expressible in terms of tense operators alone. For example, we have seen in the context of the completeness proof for K t , that irreflexivity of U is not so expressible1. We shall now present some further results along these lines, using a calculus of “world states” which gives some hope that the R-calculi can be developed within pure tense calculi.
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Reference
For a presentation of Meredith’s findings, see A. N. Prior, Past, Present and Future (Oxford, 1967 ), pp. 77–79.
Compare the opening sentences of L. Wittgenstein’s Tractatus Logico Philosophicus (London, 1922).
For details, see Prior, op. cit., pp. 88–92, 187–197, and Paper XI in: Prior, Papers on Time and Tense (Oxford, 1968 ).
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© 1971 Springer-Verlag/Wien
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Rescher, N., Urquhart, A. (1971). The Logic of World States. In: Temporal Logic. LEP Library of Exact Philosophy, vol 3. Springer, Vienna. https://doi.org/10.1007/978-3-7091-7664-1_15
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DOI: https://doi.org/10.1007/978-3-7091-7664-1_15
Publisher Name: Springer, Vienna
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