Temporal Logic pp 170-183 | Cite as

The Logic of World States

  • Nicholas Rescher
  • Alasdair Urquhart
Part of the LEP Library of Exact Philosophy book series (LEP, volume 3)


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.


Modal Logic Temporal Logic Completeness Proof World State Complete History 


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  1. 2.
    For a presentation of Meredith’s findings, see A. N. Prior, Past, Present and Future (Oxford, 1967 ), pp. 77–79.Google Scholar
  2. 3.
    Compare the opening sentences of L. Wittgenstein’s Tractatus Logico Philosophicus (London, 1922).Google Scholar
  3. 5.
    For details, see Prior, op. cit., pp. 88–92, 187–197, and Paper XI in: Prior, Papers on Time and Tense (Oxford, 1968 ).Google Scholar

Copyright information

© Springer-Verlag/Wien 1971

Authors and Affiliations

  • Nicholas Rescher
    • 1
  • Alasdair Urquhart
    • 1
  1. 1.PittsburghUSA

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