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

Author: שפירו, סטיוארט, ; Stewart Shapiro
Publisher: New York ; Oxford : Oxford University Press, 2000, ©1997.
Series: Online access with purchase: University Press scholarship online (Oxford scholarship online)., Philosophy module.
Edition/Format:   Print book : EnglishView all editions and formats
Summary:
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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Details

Material Type: Internet resource
Document Type: Book, Internet Resource
All Authors / Contributors: שפירו, סטיוארט, ; Stewart Shapiro
ISBN: 0195139305 9780195139303
OCLC Number: 43674184
Notes: Originally published: 1997.
Description: x, 279 pages ; 23 cm
Series Title: Online access with purchase: University Press scholarship online (Oxford scholarship online)., Philosophy module.
Responsibility: Stewart Shapiro.

Abstract:

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  Read more...
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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 Read more...

 
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