{"product_id":"a-logical-foundation-for-potentialist-set-theory-hardback-9781108834315","title":"A Logical Foundation for Potentialist Set Theory (Hardback) 9781108834315","description":"\u003cfont face=\"Georgia\"\u003e\r\n\u003cp\u003e\u003cfont size=\"6\"\u003eA Logical Foundation for Potentialist Set Theory\u003c\/font\u003e\u003cbr\u003e\r\n\r\n\r\n\u003c\/p\u003e\n\u003cp\u003e\u003cem\u003eA new approach to the standard axioms of set theory, relating the theory to the philosophy of science and metametaphysics.\u003c\/em\u003e\u003c\/p\u003e\r\n\r\n\r\n\u003cp\u003e\u003cfont size=\"4\"\u003eSharon Berry (Author)\u003c\/font\u003e\u003c\/p\u003e\r\n\r\n\u003cp\u003e\u003cfont size=\"3\"\u003e9781108834315, Cambridge University Press\u003c\/font\u003e\u003c\/p\u003e\r\n\r\n\u003cp\u003e\u003cfont size=\"3\"\u003eHardback, published 17 February 2022\u003c\/font\u003e\u003c\/p\u003e\r\n\r\n\u003cp\u003e\u003cfont size=\"3\"\u003e288 pages\u003cbr\u003e25.1 x 17.3 x 1.9 cm, 0.598 kg\u003c\/font\u003e\u003c\/p\u003e\r\n\r\n\r\n\r\n\r\n\r\n\u003cp align=\"justify\"\u003e\u003cstrong\u003e\u003cfont size=\"3\"\u003eIn 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.\u003c\/font\u003e\u003c\/strong\u003e\u003c\/p\u003e\r\n\r\n\u003cp\u003e\u003cfont size=\"3\"\u003e1. Introduction\u003cbr\u003e Part I: 2. Actualist set theory\u003cbr\u003e 3. Putnamian potentialism: Putnam and Hellman\u003cbr\u003e 4. Overview of my proposal\u003cbr\u003e 5. Parsonian potentialism\u003cbr\u003e Part II: 6. Purified potentialist set theory: An informal sketch\u003cbr\u003e 7. Content restriction\u003cbr\u003e 8. Inference rules\u003cbr\u003e 9. Defense of ZFC\u003cbr\u003e Part III: 10. Platonism or nominalism?\u003cbr\u003e 11. Indispensability\u003cbr\u003e 12. Modal If-thenist paraphrase strategy\u003cbr\u003e 13. Explanatory indispensability\u003cbr\u003e 14. Physical magnitude statements and sparsity\u003cbr\u003e 15. Weak quantifier variance and mathematical objects\u003cbr\u003e 16. Weak quantifier variance, knowledge by stipulative definition and access worries\u003cbr\u003e 17. Logicism and structuralism\u003cbr\u003e 18. Anti-objectivism about set theory\u003cbr\u003e 19. Conclusion\u003cbr\u003e Bibliography\u003cbr\u003e Index.\u003c\/font\u003e\u003c\/p\u003e\r\n\r\n\u003cp\u003e\u003cfont size=\"3\"\u003eSubject Areas: Philosophy of science [\u003ca title=\"See our other books on Philosophy of science\" href=\"https:\/\/freshlyprintedbooks.co.uk\/search?q=%22Philosophy%20of%20science%20%5BPDA%5D%22\"\u003ePDA\u003c\/a\u003e], Philosophy of mathematics [\u003ca title=\"See our other books on Philosophy of mathematics\" href=\"https:\/\/freshlyprintedbooks.co.uk\/search?q=%22Philosophy%20of%20mathematics%20%5BPBB%5D%22\"\u003ePBB\u003c\/a\u003e], Philosophy: logic [\u003ca title=\"See our other books on Philosophy: logic\" href=\"https:\/\/freshlyprintedbooks.co.uk\/search?q=%22Philosophy:%20logic%20%5BHPL%5D%22\"\u003eHPL\u003c\/a\u003e]\u003c\/font\u003e\u003c\/p\u003e\r\n\r\n\r\n\u003c\/font\u003e","brand":"Cambridge University Press","offers":[{"title":"Default Title","offer_id":46005555429656,"sku":"9781108834315","price":75.99,"currency_code":"GBP","in_stock":true}],"thumbnail_url":"\/\/cdn.shopify.com\/s\/files\/1\/0730\/2037\/5320\/products\/9781108834315i.jpg?v=1696727191","url":"https:\/\/freshlyprintedbooks.co.uk\/products\/a-logical-foundation-for-potentialist-set-theory-hardback-9781108834315","provider":"Freshly Printed Books","version":"1.0","type":"link"}