This is an important collection of essays on 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.
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Part I comprises five essays on the axiomatic foundations of probability. Part II contains seven articles on probabilistic causality and quantum mechanics. The third part consists of a single extended essay applying probabilistic theories of learning to practical questions of education.
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4.0 out of 5 stars
Lower and upper probabilities without Keynes and Boole,
By Michael Emmett Brady "mandmbrady" (Bellflower, California ,United States) - See all my reviews (VINE VOICE) (REAL NAME)
This review is from: Foundations of Probability with Applications: Selected Papers 1974-1995 (Cambridge Studies in Probability, Induction and Decision Theory) (Paperback)
This collection of essays,edited by Suppes and Zanotti(SZ),would have been given a five star rating except for the fact that the first portion of the book,Part I ,The Foundations of probability,which deals extensively with lower and upper probabilities and qualitative axioms for conditional probabilities,fails to mention even once the basic work done by Boole that was adapted by Keynes in his 1921 A Treatise on Probability(TP), in chapters 15,17,20 and 22, into a systematic approach to the specification of lower and upper probabilities.Another glaring ommission is the failure of the authors to consider Keynes's attempt,the first in history,to provide an axiomatic foundation that would be applicable to both numerical and nonnumerical(this is the name Keynes gave to his lower-upper interval estimates of probability)probabilities on pp.135-138 of the TP.Nonetheless,this book is worthwhile if the reader is a specialist in mathematical probability and the philosophy of probability.
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Inside This Book
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First Sentence:
A variey of conditions that guarantee the existence of a strictly agreeing measure is known. Read the first page Key Phrases - Statistically Improbable Phrases (SIPs): (learn more)
common cause criterion, mean learning curve, conditional statistical independence, qualitative axioms, identical conditional distributions, power function curves, upper probabilities, random relations, qualitative probability, raw moments, linear harmonic oscillator, mixed moments, given covariances, unconditioned state, spin measurement, hidden variable theories, distribution compatible, grade placement, worn coin, weak ordering, hidden variables, multivalued mapping, probabilistic explanations, stochastic theory, indicator functions Key Phrases - Capitalized Phrases (CAPs): (learn more)
New York, Journal of Mathematical Psychology, Academic Press, Annals of Mathematical Statistics, Arthur Fine, East Lansing, Journal of Philosophical Logic, Philosophy of Science Association, Trial Figure New!
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A variey of conditions that guarantee the existence of a strictly agreeing measure is known. Read the first page Key Phrases - Statistically Improbable Phrases (SIPs): (learn more)
common cause criterion, mean learning curve, conditional statistical independence, qualitative axioms, identical conditional distributions, power function curves, upper probabilities, random relations, qualitative probability, raw moments, linear harmonic oscillator, mixed moments, given covariances, unconditioned state, spin measurement, hidden variable theories, distribution compatible, grade placement, worn coin, weak ordering, hidden variables, multivalued mapping, probabilistic explanations, stochastic theory, indicator functions Key Phrases - Capitalized Phrases (CAPs): (learn more)
New York, Journal of Mathematical Psychology, Academic Press, Annals of Mathematical Statistics, Arthur Fine, East Lansing, Journal of Philosophical Logic, Philosophy of Science Association, Trial Figure New!
Books on Related Topics | Concordance | Text Stats Browse Sample Pages:
Front Cover | Table of Contents | First Pages | Index | Back Cover | Surprise Me!
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- Theory of Probability. A Critical Introductory Treatment. Volume 1. (Probability & Mathematical Statistics) (v. 1) by Bruno De Finetti on page 29, and page 49
- Stochastic Processes by Ken-Iti Sato on page 82
- Probabilistic Causality (Cambridge Studies in Probability, Induction and Decision Theory) by Ellery Eells in Front Matter
- Educational Psychology by WILEY on page 188
- Quantum Mechanics (Pure & Applied Physics) by L. I. Schiff on page 82
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- The Concept of Probability in Statistical Physics (Cambridge Studies in Probability, Induction and Decision Theory) by Y. M. Guttmann in Front Matter, and Back Cover
- Equilibrium and Rationality: Game Theory Revised by Decision Rules (Cambridge Studies in Probability, Induction and Decision Theory) by Paul Weirich in Front Matter
- The Design Inference: Eliminating Chance through Small Probabilities (Cambridge Studies in Probability, Induction and Decision Theory) by William A. Dembski in Front Matter
- Probability and Conditionals: Belief Revision and Rational Decision (Cambridge Studies in Probability, Induction and Decision Theory) by Ellery Eells in Front Matter
- Rethinking the Foundations of Statistics (Cambridge Studies in Probability, Induction and Decision Theory) by Joseph B. Kadane in Front Matter
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