{"product_id":"the-euclidean-programme-paperback-softback-9781009221986","title":"The Euclidean Programme (Paperback \/ softback) 9781009221986","description":"\u003cfont face=\"Georgia\"\u003e\r\n\u003cp\u003e\u003cfont size=\"6\"\u003eThe Euclidean Programme\u003c\/font\u003e\u003cbr\u003e\r\n\r\n\r\n\u003c\/p\u003e\n\u003cp\u003e\u003cem\u003eThis Element shows Euclidean foundationalism as a dominant historical paradigm along with its tenets, advocates, and accuracy.\u003c\/em\u003e\u003c\/p\u003e\r\n\r\n\r\n\u003cp\u003e\u003cfont size=\"4\"\u003eA. C. Paseau (Author), Wesley Wrigley (Author)\u003c\/font\u003e\u003c\/p\u003e\r\n\r\n\u003cp\u003e\u003cfont size=\"3\"\u003e9781009221986, Cambridge University Press\u003c\/font\u003e\u003c\/p\u003e\r\n\r\n\u003cp\u003e\u003cfont size=\"3\"\u003ePaperback \/ softback, published 22 February 2024\u003c\/font\u003e\u003c\/p\u003e\r\n\r\n\u003cp\u003e\u003cfont size=\"3\"\u003e82 pages, 6 b\/w illus.\u003cbr\u003e22.9 x 15.2 x 0.4 cm, 0.133 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\"\u003eThe Euclidean Programme embodies a traditional sort of epistemological foundationalism, according to which knowledge – especially mathematical knowledge – is obtained by deduction from self-evident axioms or first principles. Epistemologists have examined foundationalism extensively, but neglected its historically dominant Euclidean form. By contrast, this book offers a detailed examination of Euclidean foundationalism, which, following Lakatos, the authors call the Euclidean Programme. The book rationally reconstructs the programme's key principles, showing it to be an epistemological interpretation of the axiomatic method. It then compares the reconstructed programme with select historical sources: Euclid's Elements, Aristotle's Posterior Analytics, Descartes's Discourse on Method, Pascal's On the Geometric Mind and a twentieth-century account of axiomatisation. The second half of the book philosophically assesses the programme, exploring whether various areas of contemporary mathematics conform to it. The book concludes by outlining a replacement for the Euclidean Programme.\u003c\/font\u003e\u003c\/strong\u003e\u003c\/p\u003e\r\n\r\n\u003cp\u003e\u003cfont size=\"3\"\u003e1. Introduction\u003cbr\u003e 2. The Euclidean programme\u003cbr\u003e 3. Before the EP: Euclid\u003cbr\u003e 4. Before the EP: Aristotle\u003cbr\u003e 5. The EP's 17th-century apogee\u003cbr\u003e 6. Descriptive Axiomatisation and the EP\u003cbr\u003e 7. The EP assessed: core principles\u003cbr\u003e 8. The EP assessed: subsidiary principles\u003cbr\u003e 9. What should replace the EP?\u003cbr\u003e 10. Summary\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":52475092467992,"sku":"9781009221986","price":16.99,"currency_code":"GBP","in_stock":true}],"thumbnail_url":"\/\/cdn.shopify.com\/s\/files\/1\/0730\/2037\/5320\/files\/9781009221986i.jpg?v=1785804743","url":"https:\/\/freshlyprintedbooks.co.uk\/products\/the-euclidean-programme-paperback-softback-9781009221986","provider":"Freshly Printed Books","version":"1.0","type":"link"}