David Bourget (Western Ontario)
David Chalmers (ANU, NYU)
Rafael De Clercq
Jack Alan Reynolds
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Synthese 103 (3):327--354 (1995)
In this paper I present the Discrete Space-Time Thesis, in a way which enables me to defend it against various well-known objections, and which extends to the discrete versions of Special and General Relativity with only minor difficulties. The point of this presentation is not to convince readers that space-time really is discrete but rather to convince them that we do not yet know whether or not it is. Having argued that it is an open question whether or not space-time is discrete, I then turn to some possible empirical evidence, which we do not yet have. This evidence is based on some slight differences between commonly occurring differential equations and their discrete analogs.
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References found in this work BETA
Bertrand Russell (1927). The Analysis of Matter. London: Kegan Paul.
Jean Paul Van Bendegem (1987). Zeno's Paradoxes and the Tile Argument. Philosophy of Science 54 (2):295-302.
Ben Rogers (1968). On Discrete Spaces. American Philosophical Quarterly 5 (2):117--123.
Citations of this work BETA
Claudio Mazzola (2014). Can Discrete Time Make Continuous Space Look Discrete? European Journal for Philosophy of Science 4 (1):19-30.
Ross P. Cameron (2006). Much Ado About Nothing: A Study of Metaphysical Nihilism. Erkenntnis 64 (2):193-222.
Hud Hudson (2007). Simples and Gunk. Philosophy Compass 2 (2):291–302.
Daniel Nolan (2008). Finite Quantities. Proceedings of the Aristotelian Society 108 (1part1):23-42.
Vincent Ardourel (2015). A Discrete Solution for the Paradox of Achilles and the Tortoise. Synthese 192 (9):2843-2861.
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