Philosophical lectures on probability
著者
書誌事項
Philosophical lectures on probability
(Synthese library, v. 340)
Springer, c2008
- タイトル別名
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Filosofia della probabilità
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注記
Includes bibliographical references (p. 191-207) and index
Translated from the Italian
内容説明・目次
内容説明
Bruno de Finetti (1906-1985) is the founder of the subjective interpretation of probability, together with the British philosopher Frank Plumpton Ramsey. His related notion of "exchangeability" revolutionized the statistical methodology. This book (based on a course held in 1979) explains in a language accessible also to non-mathematicians the fundamental tenets and implications of subjectivism, according to which the probability of any well specified fact F refers to the degree of belief actually held by someone, on the ground of her whole knowledge, on the truth of the assertion that F obtains.
目次
Introductory Lecture.- Decisions and Proper Scoring Rules.- Geometric Representation of Brier's Rule.- Bayes' Theorem.- Physical Probability and Complexity.- Stochastic Independence and Random Sequences.- Superstition and Frequentism.- Exchangeability.- Distributions.- The Concept of Mean.- Induction and Sample Randomization.- Complete Additivity and Zero Probabilities.- The Definitions of Probability.- The Gambler's Fallacy.- "Facts" and "Events".- "Facts" and "Events": An Example.- Prevision, Random Quantities, and Trievents.- Desir Andre's Argument.- Characteristic Functions.
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