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Philosophy of mathematics : structure and ontology / Stewart Shapiro.

Oxford Scholarship Online: Philosophy Available online

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Format:
Book
Author/Creator:
Shapiro, Stewart, 1951- author.
Language:
English
Subjects (All):
Mathematics--Philosophy.
Mathematics.
Physical Description:
1 online resource (x, 279 pages)
Other Title:
Structure and ontology
Place of Publication:
New York ; Oxford : Oxford University Press, 1997.
Language Note:
English
Summary:
This text argues that both realist and anti-realist accounts of mathematics are problematic. It articulates a structuralist approach, arguing that the subject matter of a mathematical theory is not a fixed domain of numbers.
Contents:
1. Mathematics and Its Philosophy
2. Object and Truth: A Realist Manifesto
3. Structure
4. Epistemology and Reference
5. How We Got Here
6. Practice: Construction, Modality, Logic
7. Modality, Structure, Ontology
8. Life Outside Mathematics: Structure and Reality.
Notes:
Includes bibliographical references and index.
Description based on print version record.
ISBN:
0-19-028252-5

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