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Logic, Mathematics, Philosophy, Vintage EnthusiasmsGunk, Topology and Measure

Logic, Mathematics, Philosophy, Vintage Enthusiasms: Gunk, Topology and Measure [It is standardly assumed that space and time consist of extensionless points. It is also a fairly standard assumption that all matter in the universe has point-sized parts. We are not often explicitly reminded of these very basic assumptions. But they are there. For instance, one standardly assumes that one can represent the states of material objects, and of fields, by functions from points in space and time to the relevant point values. Electric fields, mass densities, gravitational potentials, etc. … are standardly represented as functions from points in space and time to point values. This practice would seem to make no sense if time and space did not have points as parts.] http://www.deepdyve.com/assets/images/DeepDyve-Logo-lg.png

Logic, Mathematics, Philosophy, Vintage EnthusiasmsGunk, Topology and Measure

Part of the The Western Ontario Series in Philosophy of Science Book Series (volume 75)
Editors: DeVidi, David; Hallett, Michael; Clarke, Peter

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References (15)

Publisher
Springer Netherlands
Copyright
© Springer Science+Business Media B.V. 2011
ISBN
978-94-007-0213-4
Pages
327 –343
DOI
10.1007/978-94-007-0214-1_16
Publisher site
See Chapter on Publisher Site

Abstract

[It is standardly assumed that space and time consist of extensionless points. It is also a fairly standard assumption that all matter in the universe has point-sized parts. We are not often explicitly reminded of these very basic assumptions. But they are there. For instance, one standardly assumes that one can represent the states of material objects, and of fields, by functions from points in space and time to the relevant point values. Electric fields, mass densities, gravitational potentials, etc. … are standardly represented as functions from points in space and time to point values. This practice would seem to make no sense if time and space did not have points as parts.]

Published: Jan 27, 2011

Keywords: Equivalence Class; Material Object; Point Particle; Separable Hilbert Space; Solid Object

There are no references for this article.