Chapter

 Pointlessness

Frank Arntzenius

in Space, Time, and Stuff

Published in print January 2012 | ISBN: 9780199696604
Published online May 2012 | e-ISBN: 9780191738333 | DOI: http://dx.doi.org/10.1093/acprof:oso/9780199696604.003.0004
 Pointlessness

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This chapter discusses the idea that there are no such things as space-time points; the idea that every part of space-time is a finitely extended region. First a number of, prima facie compelling, arguments in favour of this view are given. Then a mathematically precise topological version of this idea is developed, which is subsequently rejected as inadequate for the purposes of physics. In view of this inadequacy a mathematically precise measure theoretic theory of pointless spaces developed. But it is meekly conceded that, ultimately, pointy spaces are a more plausible setting for physics.

Keywords: measure theory; physics; pointless spaces; topology

Chapter.  14570 words.  Illustrated.

Subjects: Metaphysics

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