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Science without Numbers$
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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

(p.31) 4 Nominalism and the Structure of Physical Space
Science without Numbers

Hartry Field

Oxford University Press

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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