{"product_id":"definitions-and-mathematical-knowledge-paperback-softback-9781009095990","title":"Definitions and Mathematical Knowledge (Paperback \/ softback) 9781009095990","description":"\u003cfont face=\"Georgia\"\u003e\r\n\u003cp\u003e\u003cfont size=\"6\"\u003eDefinitions and Mathematical Knowledge\u003c\/font\u003e\u003cbr\u003e\r\n\r\n\r\n\u003c\/p\u003e\n\u003cp\u003e\u003cem\u003eThis Element provides a comprehensive analysis of the formal criteria and epistemological roles of mathematical definitions.\u003c\/em\u003e\u003c\/p\u003e\r\n\r\n\r\n\u003cp\u003e\u003cfont size=\"4\"\u003eAndrea Sereni (Author)\u003c\/font\u003e\u003c\/p\u003e\r\n\r\n\u003cp\u003e\u003cfont size=\"3\"\u003e9781009095990, Cambridge University Press\u003c\/font\u003e\u003c\/p\u003e\r\n\r\n\u003cp\u003e\u003cfont size=\"3\"\u003ePaperback \/ softback, published 16 January 2025\u003c\/font\u003e\u003c\/p\u003e\r\n\r\n\u003cp\u003e\u003cfont size=\"3\"\u003e102 pages\u003cbr\u003e22.8 x 15.1 x 0.6 cm, 0.17 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 discusses the philosophical roles of definitions in the attainment of mathematical knowledge. It first focuses on the role of definitions in foundational programs, and then examines their major varieties, both as regards their origins, their potential epistemic roles, and their formal constraints. It examines explicit definitions, implicit definitions, and implicit definitions of primitive terms, these latter being further divided into axiomatic and abstractive. After discussing elucidations and explications, various ways in which definitions can yield mathematical knowledge are surveyed.\u003c\/font\u003e\u003c\/strong\u003e\u003c\/p\u003e\r\n\r\n\u003cp\u003e\u003cfont size=\"3\"\u003e1. Introduction\u003cbr\u003e 2. Definitions and foundations\u003cbr\u003e 3. Explicit definitions\u003cbr\u003e 4. Implicit definitions\u003cbr\u003e 5. Primitive implicit definitions: Axioms and abstractions\u003cbr\u003e 6. Elucidations and explications\u003cbr\u003e 7. Knowledge by definition\u003cbr\u003e References.\u003c\/font\u003e\u003c\/p\u003e\r\n\r\n\u003cp\u003e\u003cfont size=\"3\"\u003eSubject Areas: Philosophy of science [\u003ca title=\"See our other books on Philosophy of science\" href=\"https:\/\/freshlyprintedbooks.co.uk\/search?q=%22Philosophy%20of%20science%20%5BPDA%5D%22\"\u003ePDA\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":52410773045528,"sku":"9781009095990","price":16.99,"currency_code":"GBP","in_stock":true}],"thumbnail_url":"\/\/cdn.shopify.com\/s\/files\/1\/0730\/2037\/5320\/files\/9781009095990i.jpg?v=1784252108","url":"https:\/\/freshlyprintedbooks.co.uk\/products\/definitions-and-mathematical-knowledge-paperback-softback-9781009095990","provider":"Freshly Printed Books","version":"1.0","type":"link"}