Distance and Discrete Space

Synthese 155 (1):157-162 (2007)
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Abstract

Given Lewis’s views about recombination and spatial relations, there are possible worlds in which space is discrete and yet the Pythagorean theorem is true – contrary to the so-called Weyl-Tile argument that concluded that the Pythagorean theorem must fail if space is discrete.

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10.1007/s11229-005-5034-7

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Kris McDaniel
Syracuse University

Citations of this work

Location and Mereology.Cody Gilmore, Claudio Calosi & Damiano Costa - 2013 - Stanford Encyclopedia of Philosophy.
La Possibilité de Contact.Olivier Massin - 2008 - Swiss Philosophical Preprints.

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References found in this work

On the Plurality of Worlds.David K. Lewis - 1986 - Malden, Mass.: Wiley-Blackwell.
On the Plurality of Worlds.David Lewis - 1986 - Revue Philosophique de la France Et de l'Etranger 178 (3):388-390.
A Combinatorial Theory of Possibility.David Malet Armstrong - 1989 - Cambridge and New York: Cambridge University Press.
On The Plurality of Worlds.Graeme Forbes - 1988 - Philosophical Quarterly 38 (151):222-240.
The Fabric of Space: Intrinsic vs. Extrinsic Distance Relations.Phillip Bricker - 1993 - Midwest Studies in Philosophy 18 (1):271-294.

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