{"product_id":"paradoxes-and-inconsistent-mathematics-hardback-9781108834414","title":"Paradoxes and Inconsistent Mathematics (Hardback) 9781108834414","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\"\u003e9781108834414, Cambridge University Press\u003c\/font\u003e\u003c\/p\u003e\r\n\r\n\u003cp\u003e\u003cfont size=\"3\"\u003eHardback, published 21 October 2021\u003c\/font\u003e\u003c\/p\u003e\r\n\r\n\u003cp\u003e\u003cfont size=\"3\"\u003e260 pages\u003cbr\u003e25 x 17.5 x 2.5 cm, 0.76 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\"\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":"Default Title","offer_id":46003694698776,"sku":"9781108834414","price":76.29,"currency_code":"GBP","in_stock":true}],"thumbnail_url":"\/\/cdn.shopify.com\/s\/files\/1\/0730\/2037\/5320\/products\/9781108834414i.jpg?v=1696727215","url":"https:\/\/freshlyprintedbooks.co.uk\/products\/paradoxes-and-inconsistent-mathematics-hardback-9781108834414","provider":"Freshly Printed Books","version":"1.0","type":"link"}