David Bourget (Western Ontario)
David Chalmers (ANU, NYU)
Rafael De Clercq
Jack Alan Reynolds
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Studia Logica 92 (1):85 - 108 (2009)
In this paper we examine Prior’s reconstruction of Master Argument  in some modal-tense logic. This logic consists of a purely tense part and Diodorean definitions of modal alethic operators. Next we study this tense logic in the pure tense language. It is the logic K t 4 plus a new axiom ( P ): ‘ p Λ G p ⊃ P G p ’. This formula was used by Prior in his original analysis of Master Argument. ( P ) is usually added as an extra axiom to an axiomatization of the logic of linear time. In that case the set of moments is a total order and must be left-discrete without the least moment. However, the logic of Master Argument does not require linear time. We show what properties of the set of moments are exactly forced by ( P ) in the reconstruction of Prior. We make also some philosophical remarks on the analyzed reconstruction.
|Keywords||Master Argument of Diodorus Cronus time and modalities logical structures of time modal and tense logics|
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References found in this work BETA
Melvin Fitting, R. Mendelsohn & Roderic A. Girle (2002). First-Order Modal Logic. Bulletin of Symbolic Logic 8 (3):429-430.
A. N. Prior (1955). Diodoran Modalities. Philosophical Quarterly 5 (20):205-213.
Lars Gundersen (2003). The Master Argument and Branching Time. Logic and Logical Philosophy 5:49-60.
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