No lacuna and no vicious regress: A reply to le poidevin

Acta Analytica 23 (4):367-372 (2008)
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Abstract

In his “Space, supervenience and substantivalism”, Le Poidevin proposes a substantivalism in which space is discrete, implying that there are unmediated spatial relations between neighboring primitive points. This proposition is motivated by his concern that relationism suffers from an explanatory lacuna and that substantivalism gives rise to a vicious regress. Le Poidevin implicitly requires that the relationist be committed to the “only x and y ” principle regarding spatial relations. It is not obvious that the relationist is committed to this principle in such a context. An additional motivation for Le Poidevin's argument, that space should be considered to be discrete, is that he believes that substantivalists are committed to a vicious regress. I show that the regress is in fact not of the vicious variety. These two main arguments show that Le Poidevin's suggestion that we drop the density postulate for space is unnecessary.

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Still foes: Benovsky on relationism and substantivalism.Claudio Mazzola - 2016 - European Journal for Philosophy of Science 6 (2):247-260.

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References found in this work

The Principles of Mathematics.Bertrand Russell - 1903 - Cambridge, England: Allen & Unwin.
Metaphysics: A Contemporary Introduction.Michael J. Loux & Thomas M. Crisp - 1997 - New York: Routledge. Edited by Thomas M. Crisp.
Logic matters.Peter Thomas Geach - 1972 - Oxford,: Blackwell.
Principles of Mathematics.Bertrand Russell - 1937 - New York,: Routledge.
Principles of Mathematics.Bertrand Russell - 1937 - New York,: Routledge.

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