{"product_id":"foundations-of-probability-with-applications-selected-papers-1974-1995-paperback-9780521568357","title":"Foundations of Probability with Applications; Selected Papers 1974–1995 (Paperback) 9780521568357","description":"\u003cfont face=\"Georgia\"\u003e\r\n\u003cp\u003e\u003cfont size=\"6\"\u003eFoundations of Probability with Applications\u003c\/font\u003e\u003cbr\u003e\r\n\u003cfont size=\"5\"\u003eSelected Papers 1974–1995\u003c\/font\u003e\u003c\/p\u003e\r\n\r\n\u003cp\u003e\u003cem\u003eThis is an important collection of essays by a leading philosopher, dealing with the foundations of probability.\u003c\/em\u003e\u003c\/p\u003e\r\n\r\n\r\n\u003cp\u003e\u003cfont size=\"4\"\u003ePatrick Suppes (Author), Mario Zanotti (Author)\u003c\/font\u003e\u003c\/p\u003e\r\n\r\n\u003cp\u003e\u003cfont size=\"3\"\u003e9780521568357, Cambridge University Press\u003c\/font\u003e\u003c\/p\u003e\r\n\r\n\u003cp\u003e\u003cfont size=\"3\"\u003ePaperback, published 13 November 1996\u003c\/font\u003e\u003c\/p\u003e\r\n\r\n\u003cp\u003e\u003cfont size=\"3\"\u003e208 pages, 27 b\/w illus.\u003cbr\u003e23 x 15.3 x 1.3 cm, 0.294 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 is an important collection of essays dealing with the foundations of probability that will be of value to philosophers of science, mathematicians, statisticians, psychologists and educationalists. The collection falls into three parts. Part I comprises five essays on the axiomatic foundations of probability. Part II contains seven articles on probabilistic causality and quantum mechanics, with an emphasis on the existence of hidden variables. The third part consists of a single extended essay applying probabilistic theories of learning to practical questions of education: it incorporates extensive data analysis. Patrick Suppes is one of the world's foremost philosophers in the area of probability, and has made many contributions to both the theoretical and practical side of education. The statistician Mario Zanotti is a long-time collaborator.\u003c\/font\u003e\u003c\/strong\u003e\u003c\/p\u003e\r\n\r\n\u003cp\u003e\u003cfont size=\"3\"\u003ePart I. Foundations of Probability: 1. Necessary and sufficient conditions for existence of a unique measure strictly agreeing with a qualititative probability ordering\u003cbr\u003e 2. Necessary and sufficient qualitative axioms for conditional probability\u003cbr\u003e 3. On using random relations to generate upper and lower probabilities\u003cbr\u003e 4. Conditions on upper and lower probabilities to imply probabilities\u003cbr\u003e 5. Qualitative axioms for random-variable representation of extensive quantifiers\u003cbr\u003e Part II. Causality and Quantum Mechanics: 6. Stochastic incompleteness of quantum mechanics\u003cbr\u003e 7. On the determinism of hidden variable theories with strict correlation and conditional statistical independence of observables\u003cbr\u003e 8. A new proof of the impossibility of hidden variables using the principles of exchangeability and identity of conditional distribution\u003cbr\u003e 9. When are probabilistic explanations possible?\u003cbr\u003e 10. Causality and symmetry\u003cbr\u003e 11. New Bell-type inequalities for N\u0026gt;4 necessary for existence of a hidden variable\u003cbr\u003e 12. Existence of hidden variables having only upper probabilities\u003cbr\u003e Part III. Applications in Education: 13. Mastery learning of elementary mathematics: theory and data.\u003c\/font\u003e\u003c\/p\u003e\r\n\r\n\u003cp\u003e\u003cfont size=\"3\"\u003eSubject Areas: 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":46005536424216,"sku":"9780521568357","price":39.39,"currency_code":"GBP","in_stock":true}],"thumbnail_url":"\/\/cdn.shopify.com\/s\/files\/1\/0730\/2037\/5320\/products\/9780521568357i_c01e5d62-5d07-4899-8131-80f19e308c2d.jpg?v=1691369874","url":"https:\/\/freshlyprintedbooks.co.uk\/products\/foundations-of-probability-with-applications-selected-papers-1974-1995-paperback-9780521568357","provider":"Freshly Printed Books","version":"1.0","type":"link"}