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|a Childers, Timothy,
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|a Philosophy and probability /
|c Timothy Childers.
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|a Philosophy & probability
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|a Oxford :
|b Oxford University Press,
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|a Probability is increasingly important for our understanding of the world. What is probability? How do we model it, and how do we use it? Timothy Childers presents a lively introduction to the foundations of probability and to philosophical issues it raises. He keeps technicalities to a minimum, and assumes no prior knowledge of the subject. He explains the main interpretations of probability-frequentist, propensity, classical, Bayesian, and objective Bayesian-and uses stimulatingexamples to bring the subject to life. All students of philosophy will benefit from an understanding of probability,
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|a Includes bibliographical references (pages 182-192) and index.
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|a Probabilities and relative frequencies -- Propensities and other physical probabilities -- Subjective probabilities -- Subjective and objective probabilities -- The classical and logical interpretations -- The maximum entropy principle.
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|a Print version record.
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|a English.
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|a Probabilities
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|a Probabilities
|x Philosophy.
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|a Philosophy and probability (Text)
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|i Print version:
|a Childers, Timothy.
|t Philosophy and probability
|z 0199661839
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|w (OCoLC)848000084
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|6 505-00/(S
|a 6.2.3 Determination of continuous probabilities -- 6.3 Maximum Entropy and the Wine-Water Paradox -- 6.3.1 Problems with the solution-dimensions or not-- 6.4 Language Dependence -- 6.4.1 The statistical mechanics counterexample -- 6.4.2 Correctly applying the Principle-- 6.4.3 Language dependence and ontological dependence -- 6.4.4 The scope of the Maximum Entropy Principle -- 6.5 Justifying the Maximum Entropy Principle as a Logical Constraint -- 6.5.1 Maximum entropy as imposing consistency -- 6.5.2 Problems with the Maximum Entropy Principle as consistency -- 6.6 Conclusion -- Appendices -- A.0 Some Basics -- A.0.1 Percentages -- A.0.2 Kinds of numbers -- A.0.3 Sizes of sets-countable and uncountable -- A.0.4 Functions, limits -- A.0.5 Logarithms -- A.1 The Axioms -- A.1.1 Conditional probability, independence -- A.2 Measures, Probability Measures -- A.2.1 Fields -- A.2.2 Fields, σ-fields -- A.2.3 Measures -- A.2.4 Probability measures -- A.2.5 Some useful theorems -- A.3 Random Variables -- A.3.1 Sums of random variables -- A.3.2 Expectation -- A.3.3 Continuous random variables -- A.4 Combinatorics -- A.4.1 Permutations -- A.4.2 Combinations -- A.5 Laws of Large Numbers -- A.5.1 Bernoulli random variables and the binomial distribution -- A.5.2 Laws of Large Numbers -- A.5.3 Behaviour of the binomial distribution for large numbers of trials -- A.6 Topics in Subjective Probability -- A.6.1 Strict coherence -- A.6.2 Scoring rules -- A.6.3 Axioms for qualitative and quantitative probabilities -- A.7 The Duhem-Quine Problem, Language, Metaphysics -- A.7.1 A probabilistic translation of Quine's programme -- References -- Index -- A -- B -- C -- D -- E -- F -- G -- H -- I -- J -- K -- L -- M -- O -- P -- Q -- R -- S -- T -- U -- V -- W -- Z.
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