{"product_id":"set-theory-logic-and-their-limitations-paperback-9780521479981","title":"Set Theory, Logic and their Limitations (Paperback) 9780521479981","description":"\u003cfont face=\"Georgia\"\u003e\r\n\u003cp\u003e\u003cfont size=\"6\"\u003eSet Theory, Logic and their Limitations\u003c\/font\u003e\u003cbr\u003e\r\n\r\n\r\n\u003c\/p\u003e\n\u003cp\u003e\u003cem\u003eRigorous coverage of logic and set theory for students of mathematics and philosophy.\u003c\/em\u003e\u003c\/p\u003e\r\n\r\n\r\n\u003cp\u003e\u003cfont size=\"4\"\u003eMoshe Machover (Author)\u003c\/font\u003e\u003c\/p\u003e\r\n\r\n\u003cp\u003e\u003cfont size=\"3\"\u003e9780521479981, Cambridge University Press\u003c\/font\u003e\u003c\/p\u003e\r\n\r\n\u003cp\u003e\u003cfont size=\"3\"\u003ePaperback, published 23 May 1996\u003c\/font\u003e\u003c\/p\u003e\r\n\r\n\u003cp\u003e\u003cfont size=\"3\"\u003e300 pages\u003cbr\u003e22.8 x 15.3 x 1.5 cm, 0.51 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' … written by an excellent mathematician … I very much like the way the author explains things.' European Mathematical Society\u003c\/font\u003e\u003c\/em\u003e\u003c\/p\u003e\r\n\r\n\u003cp align=\"justify\"\u003e\u003cstrong\u003e\u003cfont size=\"3\"\u003eThis is an introduction to set theory and logic that starts completely from scratch. The text is accompanied by many methodological remarks and explanations. A rigorous axiomatic presentation of Zermelo-Fraenkel set theory is given, demonstrating how the basic concepts of mathematics have apparently been reduced to set theory. This is followed by a presentation of propositional and first-order logic. Concepts and results of recursion theory are explained in intuitive terms, and the author proves and explains the limitative results of Skolem, Tarski, Church and Gödel (the celebrated incompleteness theorems). For students of mathematics or philosophy this book provides an excellent introduction to logic and set theory.\u003c\/font\u003e\u003c\/strong\u003e\u003c\/p\u003e\r\n\r\n\u003cp\u003e\u003cfont size=\"3\"\u003eMathematical induction\u003cbr\u003e 1. Sets and classes\u003cbr\u003e 2. Relations and functions\u003cbr\u003e 3. Cardinals\u003cbr\u003e 4. Ordinals\u003cbr\u003e 5. The axiom of choice\u003cbr\u003e 6. Finite cardinals and alephs\u003cbr\u003e 7. Propositional logic\u003cbr\u003e 8. First order logic\u003cbr\u003e 9. Facts from recursion theory\u003cbr\u003e 10. Limitative results\u003cbr\u003e Appendix: Skolem's paradox.\u003c\/font\u003e\u003c\/p\u003e\r\n\r\n\u003cp\u003e\u003cfont size=\"3\"\u003eSubject Areas: Set theory [\u003ca title=\"See our other books on Set theory\" href=\"https:\/\/freshlyprintedbooks.co.uk\/search?q=%22Set%20theory%20%5BPBCH%5D%22\"\u003ePBCH\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":46004094337304,"sku":"9780521479981","price":41.98,"currency_code":"GBP","in_stock":true}],"thumbnail_url":"\/\/cdn.shopify.com\/s\/files\/1\/0730\/2037\/5320\/products\/9780521479981_ce446a8c-75b9-4ac9-9c62-71844c2dc6c4.gif?v=1691382928","url":"https:\/\/freshlyprintedbooks.co.uk\/products\/set-theory-logic-and-their-limitations-paperback-9780521479981","provider":"Freshly Printed Books","version":"1.0","type":"link"}