Axiomatising the Prior Future in Predicate Logic

Logica Universalis 7 (1):87-101 (2013)
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Abstract

Prior investigated a tense logic with an operator for ‘historical necessity’, where a proposition is necessary at a time iff it is true at that time in all worlds ‘accessible’ from that time. Axiomatisations of this logic all seem to require non-standard axioms or rules. The present paper presents an axiomatisation of a first-order version of Prior’s logic by using a predicate which enables any time to be picked out by an individual in the domain of interpretation

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Max Cresswell
Victoria University of Wellington

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References found in this work

Past, present and future.Arthur N. Prior - 1967 - Oxford,: Clarendon P..
A New Introduction to Modal Logic.M. J. Cresswell & G. E. Hughes - 1996 - New York: Routledge. Edited by M. J. Cresswell.
Time and modality.Arthur N. Prior - 1957 - London: Oxford University Press.
Past, present, and future.Arthur Prior - 1967 - Revue Philosophique de la France Et de l'Etranger 157:476-476.
A finite axiomatization of the set of strongly valid ockhamist formulas.Alberto Zanardo - 1985 - Journal of Philosophical Logic 14 (4):447 - 468.

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