TY - BOOK AU - Burgess, John P. AU - Rosen, Gideon TI - Subject with No Object : : Strategies for Nominalistic Interpretation of Mathematics SN - 0198250126 PY - 1999/// CY - Oxford PB - Claredon Press KW - Mathematics - Philosophy N1 - PART I: PHILOSOPHICAL AND TECHNICAL BACKGROUND; PART II: THREE MAJOR STRATEGIES; PART III: FURTHER STRATEGIES AND A PROVISIONAL ASSESSMENT N2 - 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 ER -