Philosophical Theories of ProbabilityRoutledge, 10 set 2012 - 240 pagine The Twentieth Century has seen a dramatic rise in the use of probability and statistics in almost all fields of research. This has stimulated many new philosophical ideas on probability. Philosophical Theories of Probability is the first book to present a clear, comprehensive and systematic account of these various theories and to explain how they relate to one another. Gillies also offers a distinctive version of the propensity theory of probability, and the intersubjective interpretation, which develops the subjective theory. |
Sommario
| 1 | |
2 The classical theory | 14 |
3 The logical theory | 25 |
4 The subjective theory | 50 |
5 The frequency theory | 88 |
I general survey | 113 |
II development of a particular version | 137 |
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applied approach argued argument assumption axiom of randomness axioms of probability Bayesian betting quotient binomial distribution calculate Chapter coin concept conditional probabilities consider countable additivity defined degree of belief developed discussion distribution economics empirical laws epistemological example exchangeability falsifying rule Finetti finite follows frequency theory frisbee gambling system give given hypothesis Independent Repetitions interpretation of probability intersubjective probability introduced Iwill Kepler’s Keynes Keynes’s Kolmogorov axioms Laplace large number logical theory mathematical theory measure Mises natural sciences objective interpretation objective probabilities observed occur operationalism operationalist outcomes paradox particular philosophical philosophy of probability Popper possible Principle of Indifference prior probabilities probability theory problem propensity interpretation propensity theory Ramsey Ramsey’s reference class regard relation relative frequency repeatable conditions result sequence of repetitions set of repeatable singular probabilities situation Soros Stability of Statistical subjective theory subjectivist Suppose theorem theory of probability tosses view of probability