Foundations of Probability With Applications - Selected Papers 1974-1995

Zusammenfassung Patrick Suppes! one of the world's foremost philosophers in the area of probability! has produced a masterly study! which will interest philosophers and mathematicians alike. The Foundations of Probability with Applications is divided into three parts addressing axiomatic foundations of probability! probabilistic causality and quantum mechanics! and probabilistic theories of learning. Inhaltsverzeichnis Part I. Foundations of Probability: 1. Necessary and sufficient conditions for existence of a unique measure strictly agreeing with a qualititative probability ordering; 2. Necessary and sufficient qualitative axioms for conditional probability; 3. On using random relations to generate upper and lower probabilities; 4. Conditions on upper and lower probabilities to imply probabilities; 5. Qualitative axioms for random-variable representation of extensive quantifiers; Part II. Causality and Quantum Mechanics: 6. Stochastic incompleteness of quantum mechanics; 7. On the determinism of hidden variable theories with strict correlation and conditional statistical independence of observables; 8. A new proof of the impossibility of hidden variables using the principles of exchangeability and identity of conditional distribution; 9. When are probabilistic explanations possible?; 10. Causality and symmetry; 11. New Bell-type inequalities for N>4 necessary for existence of a hidden variable; 12. Existence of hidden variables having only upper probabilities; Part III. Applications in Education: 13. Mastery learning of elementary mathematics: theory and data.

Product details

• Authors: Patrick Suppes, Patrick Zanotti Suppes, Mario Zanotti, Zanotti Mario
• Assisted by: Brian Skyrms (Editor)
• Publisher: Cambridge University Press ELT
• Languages: English
• Product format: Hardback
• Released: 13.11.1996
• EAN: 9780521430128
• ISBN: 978-0-521-43012-8
• No. of pages: 208
• Series: Cambridge Russian, Soviet and; Cambridge Studies in Probability, Induction and Decision Theory
• Subjects: Humanities, art, music > Philosophy; Natural sciences, medicine, IT, technology > Mathematics > Probability theory, stochastic theory, mathematical statistics; Non-fiction book > Philosophy, religion > Philosophy: general, reference works; PHILOSOPHY / Epistemology, PHILOSOPHY / Logic, Philosophy: epistemology & theory of knowledge, Philosophy: logic, Philosophy: epistemology and theory of knowledge