Subject with No Object : Strategies for Nominalistic Interpretation of Mathematics

By: Burgess, John PContributor(s): Rosen, GideonMaterial type: TextTextLanguage: English Publication details: Oxford Claredon Press 1999Description: x,259 pISBN: 0198250126Subject(s): Mathematics - Philosophy | Mathematics
Contents:
PART I: PHILOSOPHICAL AND TECHNICAL BACKGROUND; PART II: THREE MAJOR STRATEGIES; PART III: FURTHER STRATEGIES AND A PROVISIONAL ASSESSMENT
Summary: Numbers and other mathematical objects are exceptional in having no locations in space or time and no causes or effects in the physical world. This makes it difficult to account for the possibility of mathematical knowledge, leading many philosophers to embrace nominalism, the doctrine that there are no abstract entitles, and to embark on ambitious projects for interpreting mathematics so as to preserve the subject while eliminating its objects
Item type: BOOKS
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PART I: PHILOSOPHICAL AND TECHNICAL BACKGROUND;
PART II: THREE MAJOR STRATEGIES;
PART III: FURTHER STRATEGIES AND A PROVISIONAL ASSESSMENT

Numbers and other mathematical objects are exceptional in having no locations in space or time and no causes or effects in the physical world. This makes it difficult to account for the possibility of mathematical knowledge, leading many philosophers to embrace nominalism, the doctrine that there are no abstract entitles, and to embark on ambitious projects for interpreting mathematics so as to preserve the subject while eliminating its objects

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The Institute of Mathematical Sciences, Chennai, India

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