Sharon Berry

A Logical Foundation for Potentialist Set Theory

• Broschiertes Buch

Produktbeschreibung

Berry discusses motivations for, and alternatives to, the Potentialist approach to set theory, providing a new and more intuitive justification for the standard axioms of set theory. This book will interest students and scholars of the philosophy of set theory, modal logic, and the role of mathematics in the sciences.

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Produktdetails

• Verlag: Cambridge University Press
• Seitenzahl: 250
• Erscheinungstermin: 4. April 2024
• Englisch
• Abmessung: 244mm x 170mm x 14mm
• Gewicht: 436g
• ISBN-13: 9781108994880
• ISBN-10: 1108994881
• Artikelnr.: 70250791

Autorenporträt

Sharon Berry is Associate Professor of Philosophy at Ashoka University. She has published articles in journals including Philosophical Studies, the British Journal of Philosophy of Science and Analysis.

Inhaltsangabe

1. Introduction
Part I: 2. Actualist set theory
3. Putnamian potentialism: Putnam and Hellman
4. Overview of my proposal
5. Parsonian potentialism
Part II: 6. Purified potentialist set theory: An informal sketch
7. Content restriction
8. Inference rules
9. Defense of ZFC
Part III: 10. Platonism or nominalism?
11. Indispensability
12. Modal If-thenist paraphrase strategy
13. Explanatory indispensability
14. Physical magnitude statements and sparsity
15. Weak quantifier variance and mathematical objects
16. Weak quantifier variance, knowledge by stipulative definition and access worries
17. Logicism and structuralism
18. Anti-objectivism about set theory
19. Conclusion
Bibliography
Index.