{"product_id":"philosophical-uses-of-categoricity-arguments-hardback-9781009467964","title":"Philosophical Uses of Categoricity Arguments (Hardback) 9781009467964","description":"\u003cfont face=\"Georgia\"\u003e\r\n\u003cp\u003e\u003cfont size=\"6\"\u003ePhilosophical Uses of Categoricity Arguments\u003c\/font\u003e\u003cbr\u003e\r\n\r\n\r\n\u003c\/p\u003e\n\u003cp\u003e\u003cem\u003eRecent internal categoricity arguments are viewed compared to historical cases to reveal what categoricity arguments can and cannot do.\u003c\/em\u003e\u003c\/p\u003e\r\n\r\n\r\n\u003cp\u003e\u003cfont size=\"4\"\u003ePenelope Maddy (Author), Jouko Väänänen (Author)\u003c\/font\u003e\u003c\/p\u003e\r\n\r\n\u003cp\u003e\u003cfont size=\"3\"\u003e9781009467964, Cambridge University Press\u003c\/font\u003e\u003c\/p\u003e\r\n\r\n\u003cp\u003e\u003cfont size=\"3\"\u003eHardback, published 21 December 2023\u003c\/font\u003e\u003c\/p\u003e\r\n\r\n\u003cp\u003e\u003cfont size=\"3\"\u003e64 pages\u003cbr\u003e23.5 x 15.4 x 1.1 cm, 0.23 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\"\u003eThis Element addresses the viability of categoricity arguments in philosophy by focusing with some care on the specific conclusions that a sampling of prominent figures have attempted to draw – the same theorem might successfully support one such conclusion while failing to support another. It begins with Dedekind, Zermelo, and Kreisel, casting doubt on received readings of the latter two and highlighting the success of all three in achieving what are argued to be their actual goals. These earlier uses of categoricity arguments are then compared and contrasted with more recent work of Parsons and the co-authors Button and Walsh. Highlighting the roles of first- and second-order theorems, of external and internal theorems, the Element concludes that categoricity arguments have been more effective in historical cases that reflect philosophically on internal mathematical matters than in recent questions of pre-theoretic metaphysics.\u003c\/font\u003e\u003c\/strong\u003e\u003c\/p\u003e\r\n\r\n\u003cp\u003e\u003cfont size=\"3\"\u003e1. Introduction\u003cbr\u003e 2. Dedekind in 'Was sind und was sollen die Zahlen?' (1888)\u003cbr\u003e 3. Dedekind in 'Was sind und was sollen die Zahlen?' (1888)\u003cbr\u003e 4. Kreisel in 'Informal rigor and incompleteness proofs' (1967) and 'Two notes on the foundations of set theory'(1969)\u003cbr\u003e 5. Parsons in 'The uniqueness of the natural numbers' (1990) and 'Mathematical induction' (2008)\u003cbr\u003e 6. Parsons in 'The uniqueness of the natural numbers' (1990) and 'Mathematical induction' (2008)\u003cbr\u003e 7. Conclusion\u003cbr\u003e References.\u003c\/font\u003e\u003c\/p\u003e\r\n\r\n\u003cp\u003e\u003cfont size=\"3\"\u003eSubject Areas: Philosophy [\u003ca title=\"See our other books on Philosophy\" href=\"https:\/\/freshlyprintedbooks.co.uk\/search?q=%22Philosophy%20%5BHP%5D%22\"\u003eHP\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":52414076649752,"sku":"9781009467964","price":54.35,"currency_code":"GBP","in_stock":true}],"thumbnail_url":"\/\/cdn.shopify.com\/s\/files\/1\/0730\/2037\/5320\/files\/9781009467964i.jpg?v=1784336830","url":"https:\/\/freshlyprintedbooks.co.uk\/products\/philosophical-uses-of-categoricity-arguments-hardback-9781009467964","provider":"Freshly Printed Books","version":"1.0","type":"link"}