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Hartry Field

Print publication date: 2016

Print ISBN-13: 9780198777915

Published to Oxford Scholarship Online: December 2016

DOI: 10.1093/acprof:oso/9780198777915.001.0001

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Nominalism and the Structure of Physical Space

Nominalism and the Structure of Physical Space

Chapter:
(p.31) 4 Nominalism and the Structure of Physical Space
Source:
Science without Numbers
Author(s):

Hartry Field

Publisher:
Oxford University Press
DOI:10.1093/acprof:oso/9780198777915.003.0004

Argues that the Hilbert theory of the previous chapter not only dispenses with real numbers, but is (or can be made with a little rewriting) a genuinely nominalistic theory of the structure of physical space. Arguing this involves a brief discussion of some questions in the philosophy of space and time, and an issue in the philosophy of logic that arises again in Chapter 9.

Keywords:   Hilbert, nominalism, philosophy of logic, real numbers, space and time

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