{"product_id":"the-metaphysics-and-mathematics-of-arbitrary-objects-hardback-9781107039414","title":"The Metaphysics and Mathematics of Arbitrary Objects (Hardback) 9781107039414","description":"\u003cfont face=\"Georgia\"\u003e\r\n\u003cp\u003e\u003cfont size=\"6\"\u003eThe Metaphysics and Mathematics of Arbitrary Objects\u003c\/font\u003e\u003cbr\u003e\r\n\r\n\r\n\u003c\/p\u003e\n\u003cp\u003e\u003cem\u003eDevelops and defends a new metaphysical and logical theory of arbitrary objects that will reinvigorate the philosophy of mathematics.\u003c\/em\u003e\u003c\/p\u003e\r\n\r\n\r\n\u003cp\u003e\u003cfont size=\"4\"\u003eLeon Horsten (Author)\u003c\/font\u003e\u003c\/p\u003e\r\n\r\n\u003cp\u003e\u003cfont size=\"3\"\u003e9781107039414, Cambridge University Press\u003c\/font\u003e\u003c\/p\u003e\r\n\r\n\u003cp\u003e\u003cfont size=\"3\"\u003eHardback, published 13 June 2019\u003c\/font\u003e\u003c\/p\u003e\r\n\r\n\u003cp\u003e\u003cfont size=\"3\"\u003e246 pages\u003cbr\u003e25.4 x 17.8 x 1.8 cm, 0.6 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'For the initiated reader, the book promises to add new life to research on arbitrary objects.' R. L. Pour, Choice\u003c\/font\u003e\u003c\/em\u003e\u003c\/p\u003e\r\n\r\n\u003cp align=\"justify\"\u003e\u003cstrong\u003e\u003cfont size=\"3\"\u003eBuilding on the seminal work of Kit Fine in the 1980s, Leon Horsten here develops a new theory of arbitrary entities. He connects this theory to issues and debates in metaphysics, logic, and contemporary philosophy of mathematics, investigating the relation between specific and arbitrary objects and between specific and arbitrary systems of objects. His book shows how this innovative theory is highly applicable to problems in the philosophy of arithmetic, and explores in particular how arbitrary objects can engage with the nineteenth-century concept of variable mathematical quantities, how they are relevant for debates around mathematical structuralism, and how they can help our understanding of the concept of random variables in statistics. This fully worked through theory will open up new avenues within philosophy of mathematics, bringing in the work of other philosophers such as Saul Kripke, and providing new insights into the development of the foundations of mathematics from the eighteenth century to the present day.\u003c\/font\u003e\u003c\/strong\u003e\u003c\/p\u003e\r\n\r\n\u003cp\u003e\u003cfont size=\"3\"\u003e1. Introduction\u003cbr\u003e 2. Metaphysics of mathematics\u003cbr\u003e 3. Arbitrary objects\u003cbr\u003e 4. Mathematical objects as arbitrary objects\u003cbr\u003e 5. Structure in mathematics\u003cbr\u003e 6. Mathematical structures\u003cbr\u003e 7. Kit fine\u003cbr\u003e 8. Generic systems and mathematical structuralism\u003cbr\u003e 9. Reasoning about generic w-sequences\u003cbr\u003e 10. Probability and random variables\u003cbr\u003e 11. Directions for future research.\u003c\/font\u003e\u003c\/p\u003e\r\n\r\n\u003cp\u003e\u003cfont size=\"3\"\u003eSubject Areas: 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], Mathematics [\u003ca title=\"See our other books on Mathematics\" href=\"https:\/\/freshlyprintedbooks.co.uk\/search?q=%22Mathematics%20%5BPB%5D%22\"\u003ePB\u003c\/a\u003e], Philosophy: metaphysics \u0026amp; ontology [\u003ca title=\"See our other books on Philosophy: metaphysics \u0026amp; ontology\" href=\"https:\/\/freshlyprintedbooks.co.uk\/search?q=%22Philosophy:%20metaphysics%20\u0026amp;%20ontology%20%5BHPJ%5D%22\"\u003eHPJ\u003c\/a\u003e], 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], Humanities [\u003ca title=\"See our other books on Humanities\" href=\"https:\/\/freshlyprintedbooks.co.uk\/search?q=%22Humanities%20%5BH%5D%22\"\u003eH\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":46265537134872,"sku":"9781107039414","price":77.68,"currency_code":"GBP","in_stock":true}],"thumbnail_url":"\/\/cdn.shopify.com\/s\/files\/1\/0730\/2037\/5320\/products\/9781107039414i.jpg?v=1692024011","url":"https:\/\/freshlyprintedbooks.co.uk\/products\/the-metaphysics-and-mathematics-of-arbitrary-objects-hardback-9781107039414","provider":"Freshly Printed Books","version":"1.0","type":"link"}