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A Logical Foundation for Potentialist Set Theory

Autor Sharon Berry
en Limba Engleză Paperback – 4 apr 2024
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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Specificații

ISBN-13: 9781108994880
ISBN-10: 1108994881
Pagini: 250
Dimensiuni: 170 x 244 x 14 mm
Greutate: 0.44 kg
Editura: Cambridge University Press

Cuprins

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.

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