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Theories of Probability

The British Journal for the Philosophy of Science, 1995
Summary: My title is intended to recall \textit{T. L. Fine}'s excellent survey, Theories of probability (Academic Press, New York) (1973; Zbl 0275.60006). I shall consider some developments that have occurred in the intervening years, and try to place some of the theories he discussed in what is now a slightly longer perspective.
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Theories of Probability

Transactions of the Faculty of Actuaries, 1950
SynopsisVarious definitions of mathematical probability are described and commented upon: (i) the classical formulation, based on the ratio of favourable to total “equally likely” aspects of a system; (ii) formulations based on relative frequency in a sequence of trials, or on the limit of relative frequency as the number of trials is increased ...
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On the Frequency Theory of Probability

Philosophy and Phenomenological Research, 1945
Not ...
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The probabilities of theories as frequencies

Synthese, 1977
From the beginning of his career, Reichenbach studied the role that probability played both in modern physical theory and in epistemology.1 He was, with Richard von Mises, one of the foremost proponents of the frequency theory of probability and axiomatized a very general form of it.
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Free Probability Theory

Oberwolfach Reports, 2006
The workshop Free Probability Theory , organised by Philippe Biane (Paris), Roland Speicher (Kingston), and Dan Voiculescu (Berkeley) was held March 27th–April 2nd, 2005. This meeting was well attended with over 50 participants with broad geographic representation from Austria, Canada, Denmark, France, Germany ...
Philippe Biane   +2 more
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Graph Theory and Probability

Canadian Journal of Mathematics, 1959
A well-known theorem of Ramsay (8; 9) states that to every n there exists a smallest integer g(n) so that every graph of g(n) vertices contains either a set of n independent points or a complete graph of order n, but there exists a graph of g(n) — 1 vertices which does not contain a complete subgraph of n vertices and also does not contain a set of n ...
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Equipossibility Theories of Probability

The British Journal for the Philosophy of Science, 1971
This paper will explain why probability was for so long defined in terms of equally possible cases. The definition is usually attributed to Laplace. It preceded him by a century and survived him by another two. How could so monstrous a definition have survived three hundred articulate years? The trouble with the definition seems obvious enough.
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Probability Theory, An Analytic View

2010
The third edition of this highly regarded text provides a rigorous, yet entertaining, introduction to probability theory and the analytic ideas and tools on which the modern theory relies. The main changes are the inclusion of the Gaussian isoperimetric inequality plus many improvements and clarifications throughout the text.
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