Times in Tense Logic

Notre Dame Journal of Formal Logic 50 (2):201--19 (2009)
Abstract
This paper explains how to obtain quantification over times in a tense logic in which all temporal distinctions are ultimately spelled out in terms of the two simple tense operators “it was the case that” and “it will be the case that.” The account of times defended here is similar to what is known as “linguistic ersatzism” about possible worlds, but there are noteworthy differences between these two cases. For example, while linguistic ersatzism would support actualism, the view of times defended here does not support presentism.
Keywords tense logic   times   modal logic   possible worlds
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DOI 10.1215/00294527-2009-007
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Ulrich Meyer (2009). 'Now' and 'Then' in Tense Logic. Journal of Philosophical Logic 38 (2):229-247.
Thomas Pashby (2015). Taking Times Out: Tense Logic as a Theory of Time. Studies in History and Philosophy of Science Part B: Studies in History and Philosophy of Modern Physics 50:13-18.
Ulrich Meyer (2015). Tense Logic. Philosophy Compass 10 (6):406-419.

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