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".-...
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Math Mathematics Philosophy Science Science & Math Science & Scientists Science & Technology