{"product_id":"model-theory-and-the-philosophy-of-mathematical-practice-formalization-without-foundationalism-hardback-9781107189218","title":"Model Theory and the Philosophy of Mathematical Practice; Formalization without Foundationalism (Hardback) 9781107189218","description":"\u003cfont face=\"Georgia\"\u003e\r\n\u003cp\u003e\u003cfont size=\"6\"\u003eModel Theory and the Philosophy of Mathematical Practice\u003c\/font\u003e\u003cbr\u003e\r\n\u003cfont size=\"5\"\u003eFormalization without Foundationalism\u003c\/font\u003e\u003c\/p\u003e\r\n\r\n\u003cp\u003e\u003cem\u003eRecounts the modern transformation of model theory and its effects on the philosophy of mathematics and mathematical practice.\u003c\/em\u003e\u003c\/p\u003e\r\n\r\n\r\n\u003cp\u003e\u003cfont size=\"4\"\u003eJohn T. Baldwin (Author)\u003c\/font\u003e\u003c\/p\u003e\r\n\r\n\u003cp\u003e\u003cfont size=\"3\"\u003e9781107189218, Cambridge University Press\u003c\/font\u003e\u003c\/p\u003e\r\n\r\n\u003cp\u003e\u003cfont size=\"3\"\u003eHardback, published 25 January 2018\u003c\/font\u003e\u003c\/p\u003e\r\n\r\n\u003cp\u003e\u003cfont size=\"3\"\u003e362 pages, 8 b\/w illus.\u003cbr\u003e25.4 x 17.8 x 2.3 cm, 0.78 kg\u003c\/font\u003e\u003c\/p\u003e\r\n\r\n\r\n\r\n\u003cp align=\"justify\"\u003e\u003cem\u003e\u003cfont size=\"3\"\u003e'The book under review has a lot to offer at many levels. First of all, it may serve as a guide to recent advances in pure and applied model theory. Such a guide may be useful not only to novices, but also to old hands. Secondly, Baldwin summarizes several trends in contemporary philosophy of mathematics, and his insights should be of interest to philosophers as well as to mathematicians.' Roman Kossak, The Mathematical Intelligencer\u003c\/font\u003e\u003c\/em\u003e\u003c\/p\u003e\r\n\r\n\u003cp align=\"justify\"\u003e\u003cstrong\u003e\u003cfont size=\"3\"\u003eMajor shifts in the field of model theory in the twentieth century have seen the development of new tools, methods, and motivations for mathematicians and philosophers. In this book, John T. Baldwin places the revolution in its historical context from the ancient Greeks to the last century, argues for local rather than global foundations for mathematics, and provides philosophical viewpoints on the importance of modern model theory for both understanding and undertaking mathematical practice. The volume also addresses the impact of model theory on contemporary algebraic geometry, number theory, combinatorics, and differential equations. This comprehensive and detailed book will interest logicians and mathematicians as well as those working on the history and philosophy of mathematics.\u003c\/font\u003e\u003c\/strong\u003e\u003c\/p\u003e\r\n\r\n\u003cp\u003e\u003cfont size=\"3\"\u003ePart I. Refining the Notion of Categoricity: 1. Formalization\u003cbr\u003e 2. The context of formalization\u003cbr\u003e 3. Categoricity\u003cbr\u003e Part II. The Paradigm Shift: 4. What was model theory about?\u003cbr\u003e 5. What is contemporary model theory about?\u003cbr\u003e 6. Isolating tame mathematics\u003cbr\u003e 7. Infinitary logic\u003cbr\u003e 8. Model theory and set theory\u003cbr\u003e Part III. Geometry: 9. Axiomatization of geometry\u003cbr\u003e 10. ?, area, and circumference of circles\u003cbr\u003e 11. Complete: the word for all seasons\u003cbr\u003e Part IV. Methodology: 12. Formalization and purity in geometry\u003cbr\u003e 13. On the nature of definition: model theory\u003cbr\u003e 14. Formalism-freeness\u003cbr\u003e 15. Summation.\u003c\/font\u003e\u003c\/p\u003e\r\n\r\n\u003cp\u003e\u003cfont size=\"3\"\u003eSubject Areas: History of science [\u003ca title=\"See our other books on History of science\" href=\"https:\/\/freshlyprintedbooks.co.uk\/search?q=%22History%20of%20science%20%5BPDX%5D%22\"\u003ePDX\u003c\/a\u003e], History of mathematics [\u003ca title=\"See our other books on History of mathematics\" href=\"https:\/\/freshlyprintedbooks.co.uk\/search?q=%22History%20of%20mathematics%20%5BPBX%5D%22\"\u003ePBX\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], History of Western philosophy [\u003ca title=\"See our other books on History of Western philosophy\" href=\"https:\/\/freshlyprintedbooks.co.uk\/search?q=%22History%20of%20Western%20philosophy%20%5BHPC%5D%22\"\u003eHPC\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":46004171931928,"sku":"9781107189218","price":85.49,"currency_code":"GBP","in_stock":true}],"thumbnail_url":"\/\/cdn.shopify.com\/s\/files\/1\/0730\/2037\/5320\/products\/9781107189218i_63ae8783-ab81-4bab-a1e5-bc9bc6104a5e.jpg?v=1691362667","url":"https:\/\/freshlyprintedbooks.co.uk\/products\/model-theory-and-the-philosophy-of-mathematical-practice-formalization-without-foundationalism-hardback-9781107189218","provider":"Freshly Printed Books","version":"1.0","type":"link"}