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Von Mises theory of probability p 1 Keynes theory
Its Machian Origins
Machs development of mechanics p 38 Operationalism
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accepted adopt alternative hypotheses approximately argument assumption axiom of independent axioms of probability betting quotient Braithwaite's calculate concept consider corroborated critical region deduce defined definition degree of belief empirical collectives Euclidean geometry example experience experimental explain fact falsifying rule Finetti finite formulation frequency theory gambling systems give given hypothesis H independent repetitions infinite introduce intuitive involved Kepler's Keynes Kolmogorov Kolmogorov axioms large number law of large limiting frequency logical Mach's mass meaning measure method Mises Newton's theory Newtonian Newtonian mechanics Neyman-Pearson theory normal distribution notion objection observed obtain outcomes parameter particular Popper postulate precise prediction principle principle of indifference probability space probability statements probability theory problem random sequences random variable rejection relative frequency repeatable conditions sample sequence of repetitions set of alternatives set of conditions singular probabilities space statistical hypothesis subset Suppose theorem theory of probability tion tosses z-test