Temporal Interpretation of Modal Logic

  • Marcin Tkaczyk John Paul II Catholic University of Lublin, Faculty of Philosophy
Keywords: temporal logic, tense logic, modal logic, relational semantics

Abstract

Temporal interpretation of modal logic consists in replacing possible worlds with temporal states of the world or any time determinates and the accessibility relation with a relation of passage of time. That issue has been raised by A. N. Prior, who was thinking of propositions as things which could change their truth-values (could become true or become false) with the passage of time. Under such interpretation Prior was reading a formula  as: it (is and) will allways be the case that  or: it (is and) has allways been the case that . The formula  should be read respectively.

In the present paper the interpretation in question is examined. Its sources are presented and its consequences are analysed. It is claimed, the interpretation to be highly disputable because of its disagreement with physical meaning of temporal statements, established in the special relativity theory.

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Published
2020-09-04
Section
Articles