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.
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.
Hartry Field is the University Professor and Silver Professor of Philosophy at New York University, having previously taught at Princeton, University of Southern California, and the City University of New York Graduate Center. He is the author of Science Without Numbers (original edition 1980, Blackwell and Princeton), Realism, Mathematics and Modality (1989; revised edition 1991, Blackwell), Truth and the Absence of Fact (Oxford University Press) and Saving Truth from Paradox (Oxford University Press).
Inhaltsangabe
* Contents New to this Edition * Preface to Second Edition * 1: Arithmetic and Cardinality Quantifiers * 2: Mereology and Logic * 3: Representation Theorems * 4: Conservativeness * 5: Indispensability * 6: Other Forms of Anti-Platonism * 7: Miscellaneous Technicalia * Bibliography * Note on Quine Letter * Letter from W. V. Quine * * Contents of First Edition * Preface to First Edition * Preliminary Remarks * 1: Why the Utility of Mathematical Entities is Unlike the Utility of Theoretical Entities * Appendix: On Conservativeness * 2: First Illustration of Why Mathematical Entities are Useful: Arithmetic * 3: Second Illustration of Why Mathematical Entities are Useful: Geometry and Distance * 4: Nominalism and the Structure of Physical Space * 5: My Strategy for Nominalizing Physics, and its Advantages * 6: A Nominalistic Treatment of Newtonian Space-Time * 7: A Nominalistic Treatment of Quantities, and a Preview of a Nominalistic Treatment of the Laws Involving them * 8: Newtonian Gravitational Theory Nominalized * 9: Logic and Ontology
* Contents New to this Edition * Preface to Second Edition * 1: Arithmetic and Cardinality Quantifiers * 2: Mereology and Logic * 3: Representation Theorems * 4: Conservativeness * 5: Indispensability * 6: Other Forms of Anti-Platonism * 7: Miscellaneous Technicalia * Bibliography * Note on Quine Letter * Letter from W. V. Quine * * Contents of First Edition * Preface to First Edition * Preliminary Remarks * 1: Why the Utility of Mathematical Entities is Unlike the Utility of Theoretical Entities * Appendix: On Conservativeness * 2: First Illustration of Why Mathematical Entities are Useful: Arithmetic * 3: Second Illustration of Why Mathematical Entities are Useful: Geometry and Distance * 4: Nominalism and the Structure of Physical Space * 5: My Strategy for Nominalizing Physics, and its Advantages * 6: A Nominalistic Treatment of Newtonian Space-Time * 7: A Nominalistic Treatment of Quantities, and a Preview of a Nominalistic Treatment of the Laws Involving them * 8: Newtonian Gravitational Theory Nominalized * 9: Logic and Ontology
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