Science Without Numbers
Subtitle: A Defence of Nominalism
By: Hartry H. Field.
Publisher: Princeton University Press
Published: 1980
Place of publication: Princeton, New Jersey, US
Language: eng
Number of pages: 130
Subjects: Science -- Philosophy.; Mathematics -- Philosophy.; Nominalism.
Notes: Includes bibliographical references and index.
Table of contents: title: Contents
pagenum: v; title: Preface
pagenum: vii; title: Preliminary Remarks
pagenum: 1; label: 1
pagenum: 7
title: Why the Utility of Mathematical Entities is Unlike the Utility of Theoretical Entities; label: Appx.
pagenum: 16
title: On Conservativeness; label: 2
pagenum: 20
title: First Illustration of Why Mathematical Entities are Useful: Arithmetic; label: 3
pagenum: 24
title: Second Illustration of Why Mathematical Entities are Useful: Geometry and Distance; label: 4
pagenum: 30
title: Nominalism and the Structure of Physical Space; label: 5
pagenum: 41
title: My Strategy for Nominalizing Physics, and its Advantages; label: 6
pagenum: 47
title: A Nominalistic Treatment of Newtonian Space-Time; label: 7
pagenum: 55
title: A Nominalistic Treatment of Quantities, and a Preview of a Nominalistic Treatment of the Laws involving them; label: 8
pagenum: 61
title: Newtonian Gravitational Theory Nominalized; label: A
pagenum: 61
title: Continuity; label: B
pagenum: 64
title: Products and Ratios; label: C
pagenum: 68
title: Signed Products and Ratios; label: D
pagenum: 70
title: Derivatives; label: E
pagenum: 74
title: Second (and Higher) Derivatives; label: F
pagenum: 76
title: Laplaceans; label: G
pagenum: 78
title: Poisson’s Equation; label: H
pagenum: 81
title: Inner Products; label: I
pagenum: 84
title: Gradients; label: J
pagenum: 85
title: Differentiation of Vector Fields; label: K
pagenum: 88
title: The Law of Motion; label: L
pagenum: 89
title: General Remarks; label: 9
pagenum: 92
title: Logic and Ontology; title: Notes
pagenum: 107; title: Index
pagenum: 128