Time and Modality
In Craig Callender (ed.), The Oxford Handbook of Philosophy of Time. Oxford University Press (2011)
| Abstract | With the rigorous development of modal logic in the first half of the twentieth century, it became custom amongst philosophers to characterize different views about necessity and possibility in terms of rival axiomatic systems for the modal operators ‘ ’ (‘possibly’) and ‘ ’ (‘necessarily’). From the late 1950s onwards, Arthur Prior began to argue that temporal distinctions ought to be given a similar treatment, in terms of axiomatic systems for sentential tense operators, such as ‘P’ (‘it was the case that’) and ‘F’ (‘it will be the case that’).1 My aim here is to give a brief survey of the extent to which time can be treated on the model of modality. I shall not try to address the further question of whether such ‘modal’ accounts of time are to be preferred over ‘spatial’ accounts that treat times more like places. | |||||||||
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Ulrich Meyer (2002). Prior and the Platonist. Analysis 62 (3):211–216.
Torben Braüner (2002). Modal Logic, Truth, and the Master Modality. Journal of Philosophical Logic 31 (4):359-386.
Mark Brown & Valentin Goranko (1999). An Extended Branching-Time Ockhamist Temporal Logic. Journal of Logic, Language and Information 8 (2):143-166.
Gonzalo E. Reyes & Marek W. Zawadowski (1993). Formal Systems for Modal Operators on Locales. Studia Logica 52 (4):595 - 613.
Heather Dyke (2007). Tenseless/Non-Modal Truthmakers for Tensed/Modal Truths. Logique Et Analyse 199:269-287.
Ulrich Meyer (2009). ”Now' and ”Then' in Tense Logic. Journal of Philosophical Logic 38 (2):229--47.
M. J. Cresswell (2012). The World-Time Parallel: Tense and Modality in Logic and Metaphysics. Cambridge University Press.
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