Is discreteness of time necessary for Diodorean master argument

Bulletin of the Section of Logic 16 (3):125-131 (1987)
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Abstract

The well known Master Argument of ancient Stoic logician Diodorus Cronus is an argument in favour of the philosophical doctrine of fatalism. Perhaps in antiquity this argument was a subject of the most celebrated controversy about temporal truth and modality. This argument is a subject of logical analysis, especially in connection with temporal logic, also today. 1 The most elegant tense-logical formulation of the Master Argument has been given by A. N. Prior. Discreteness and irreflexivity of time are semantical assumptions of Prior’s formulation of the argument. The assumption of discreness is troublesome. 2 The problem of this assumption is a subject of M. J. White’s paper “The Necessity of the Past and ModalTense Logic Incompleteness”. 3

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The Lessons of Prior’s Master Argument.Michael J. White - 1999 - History of Philosophy & Logical Analysis 2 (1):225-238.

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