Acta Analytica

, Volume 23, Issue 4, pp 367–372

No Lacuna and No Vicious Regress: A Reply to Le Poidevin


DOI: 10.1007/s12136-008-0037-x

Cite this article as:
Conroy, C. Acta Anal (2008) 23: 367. doi:10.1007/s12136-008-0037-x


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.


Relationism Substantivalism Only x and y principle Le Poidevin Regress 

Copyright information

© Springer Science+Business Media B.V. 2008

Authors and Affiliations

  1. 1.Department of Logic and Philosophy of ScienceUniversity of California, IrvineIrvineUSA

Personalised recommendations