{"product_id":"paradoxes-and-inconsistent-mathematics-paperback-softback-9781108995009","title":"Paradoxes and Inconsistent Mathematics (Paperback \/ softback) 9781108995009","description":"\u003cfont face=\"Georgia\"\u003e\r\n\u003cp\u003e\u003cfont size=\"6\"\u003eParadoxes and Inconsistent Mathematics\u003c\/font\u003e\u003cbr\u003e\r\n\r\n\r\n\u003c\/p\u003e\n\u003cp\u003e\u003cem\u003eWhy are there paradoxes? This book uses paraconsistent logic to develop the mathematics to find out.\u003c\/em\u003e\u003c\/p\u003e\r\n\r\n\r\n\u003cp\u003e\u003cfont size=\"4\"\u003eZach Weber (Author)\u003c\/font\u003e\u003c\/p\u003e\r\n\r\n\u003cp\u003e\u003cfont size=\"3\"\u003e9781108995009, Cambridge University Press\u003c\/font\u003e\u003c\/p\u003e\r\n\r\n\u003cp\u003e\u003cfont size=\"3\"\u003ePaperback \/ softback, published 4 April 2024\u003c\/font\u003e\u003c\/p\u003e\r\n\r\n\u003cp\u003e\u003cfont size=\"3\"\u003e338 pages\u003cbr\u003e24.4 x 17 x 1.8 cm, 0.584 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'Zach Weber's Paradoxes and Inconsistent Mathematics is easily one of the most important books in inconsistent mathematics - and contradiction-involving theories in general - since the pioneering books of Chris Mortensen (1995), Graham Priest (1987) and Richard Sylvan (formerly Routley) (1980) … Not since said pioneering works have I encountered a more important book on would-be true contradictory theories than Weber's … The development of such inconsistent maths from the pioneering ideas … to Weber's latest work is as significant as the development from chiseling stone tablets to recent smart phones.' Jc Beall, Notre Dame Philosophical Reviews\u003c\/font\u003e\u003c\/em\u003e\u003c\/p\u003e\r\n\r\n\u003cp align=\"justify\"\u003e\u003cstrong\u003e\u003cfont size=\"3\"\u003eLogical paradoxes – like the Liar, Russell's, and the Sorites – are notorious. But in Paradoxes and Inconsistent Mathematics, it is argued that they are only the noisiest of many. Contradictions arise in the everyday, from the smallest points to the widest boundaries. In this book, Zach Weber uses “dialetheic paraconsistency” – a formal framework where some contradictions can be true without absurdity – as the basis for developing this idea rigorously, from mathematical foundations up. In doing so, Weber directly addresses a longstanding open question: how much standard mathematics can paraconsistency capture? The guiding focus is on a more basic question, of why there are paradoxes. Details underscore a simple philosophical claim: that paradoxes are found in the ordinary, and that is what makes them so extraordinary.\u003c\/font\u003e\u003c\/strong\u003e\u003c\/p\u003e\r\n\r\n\u003cp\u003e\u003cfont size=\"3\"\u003ePart I. What are the Paradoxes?: Introduction to an inconsistent world\u003cbr\u003e 1. Paradoxes\u003cbr\u003e or, 'here in the presence of an absurdity'\u003cbr\u003e Part II. How to Face the Paradoxes?: 2. In search of a uniform solution\u003cbr\u003e 3. Metatheory and naive theory\u003cbr\u003e 4. Prolegomena to any future inconsistent mathematics. Part III. Where are the Paradoxes?: 5. Set theory\u003cbr\u003e 6. Arithmetic\u003cbr\u003e 7. Algebra\u003cbr\u003e 8. Real analysis\u003cbr\u003e 9. Topology. Part IV. Why Are there Paradoxes?: 10. Ordinary paradox.\u003c\/font\u003e\u003c\/p\u003e\r\n\r\n\u003cp\u003e\u003cfont size=\"3\"\u003eSubject Areas: Mathematical logic [\u003ca title=\"See our other books on Mathematical logic\" href=\"https:\/\/freshlyprintedbooks.co.uk\/search?q=%22Mathematical%20logic%20%5BPBCD%5D%22\"\u003ePBCD\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":"Brand New","offer_id":52474960019736,"sku":"9781108995009","price":24.59,"currency_code":"GBP","in_stock":true}],"thumbnail_url":"\/\/cdn.shopify.com\/s\/files\/1\/0730\/2037\/5320\/files\/9781108995009i.jpg?v=1785801942","url":"https:\/\/freshlyprintedbooks.co.uk\/products\/paradoxes-and-inconsistent-mathematics-paperback-softback-9781108995009","provider":"Freshly Printed Books","version":"1.0","type":"link"}