A Logical Foundation for Potentialist Set Theory by Sharon Berry Paperback Book

Description: A Logical Foundation for Potentialist Set Theory by Sharon Berry 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. FORMAT Paperback CONDITION Brand New Publisher Description In many ways set theory lies at the heart of modern mathematics, and it does powerful work both philosophical and mathematical – as a foundation for the subject. However, certain philosophical problems raise serious doubts about our acceptance of the axioms of set theory. In a detailed and original reassessment of these axioms, Sharon Berry uses a potentialist (as opposed to actualist) approach to develop a unified determinate conception of set-theoretic truth that vindicates many of our intuitive expectations regarding set theory. Berry further defends her approach against a number of possible objections, and she shows how a notion of logical possibility that is useful in formulating Potentialist set theory connects in important ways with philosophy of language, metametaphysics and philosophy of science. Her book will appeal to readers with interests in the philosophy of set theory, modal logic, and the role of mathematics in the sciences. Author Biography 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. Table of Contents 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. Promotional A new approach to the standard axioms of set theory, relating the theory to the philosophy of science and metametaphysics. Details ISBN1108994881 Author Sharon Berry Pages 248 Publisher Cambridge University Press Year 2024 ISBN-13 9781108994880 Format Paperback Publication Date 2024-04-04 Imprint Cambridge University Press Place of Publication Cambridge Country of Publication United Kingdom Alternative 9781108834315 DEWEY 511.322 Illustrations Worked examples or Exercises Audience Tertiary & Higher Education UK Release Date 2024-04-04 ISBN-10 1108994881 We've got this At The Nile, if you're looking for it, we've got it. With fast shipping, low prices, friendly service and well over a million items - you're bound to find what you want, at a price you'll love! TheNile_Item_ID:159188427;

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