Burgess, John P.
Subject with No Object : Strategies for Nominalistic Interpretation of Mathematics - Oxford Claredon Press 1999 - x,259 p
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
0198250126
Mathematics - Philosophy
51 / BUR
Subject with No Object : Strategies for Nominalistic Interpretation of Mathematics - Oxford Claredon Press 1999 - x,259 p
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
0198250126
Mathematics - Philosophy
51 / BUR