Philosophy of mathematics : structure and ontology (图书, 2000) [University of Maryland, College Park]
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Philosophy of mathematics : structure and ontology

Philosophy of mathematics : structure and ontology

著者: שפירו, סטיוארט, ; Stewart Shapiro
出版商: New York ; Oxford : Oxford University Press, 2000, ©1997.
版本/格式:   打印图书 : 英语查看所有的版本和格式
提要:
The philosophy of mathematics articulated and defended in this book goes by the name of "structuralism", and its slogan is that mathematics is the science of structure. The subject matter of arithmetic, for example, is the natural number structure, the pattern common to any countably infinite system of objects with a distinguished initial object and a successor relation that satisfies the induction principle.
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文档类型 图书, 互联网资源
所有的著者/提供者: שפירו, סטיוארט, ; Stewart Shapiro
ISBN: 0195139305 9780195139303
OCLC号码: 43674184
注释: Originally published: 1997.
描述: x, 279 pages ; 23 cm
责任: Stewart Shapiro.

摘要:

A structuralist approach to mathematical theory in which Shapiro argues that both realist and anti-realist accounts of mathematics are problematic . He claims that mathematical theory is not a fixed  再读一些...
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Extremely interesting and deserves the attention of anyone with a serious interest in the field ... a careful study of the book will be enormously rewarding to anyone with some prior exposure to the 再读一些...

 
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