Science Without Numbers: A Defence of Nominalism

Princeton, NJ, USA: Princeton University Press (1980)
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Abstract

Science Without Numbers caused a stir in 1980, with its bold nominalist approach to the philosophy of mathematics and science. It has been unavailable for twenty years and is now reissued in a revised edition with a substantial new preface presenting the author's current views and responses to the issues raised in subsequent debate.

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Chapters

Nominalism and the Structure of Physical Space

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 s... see more

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Hartry Field
New York University

Citations of this work

On what grounds what.Jonathan Schaffer - 2009 - In David Manley, David J. Chalmers & Ryan Wasserman (eds.), Metametaphysics: New Essays on the Foundations of Ontology. Oxford University Press. pp. 347-383.
Against Parthood.Theodore Sider - 2013 - Oxford Studies in Metaphysics 8:237–293.
Modal science.Timothy Williamson - 2016 - Canadian Journal of Philosophy 46 (4-5):453-492.

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