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Then present or review the concept of probability.
At UCLA he wrote a dissertation, under Hans Reichenbach, on the concept of probability, obtaining a Ph.D. in 1951.
Impressed with the need for an interpretation of the concept of probability that was thoroughly empirical, Reichenbach elaborated a view that conceived probability as a limit of relative frequency and buttressed it with a pragmatic justification of inductive inference.
Let us start by recalling Kolmogorov's concept of probability space.
Bolzano is not content with this concept of probability simpliciter but rather continues to develop an even more important relative concept of probability.
It was not the only concept of probability to be developed by the logical empiricist tradition.
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This article contains a description of the important mathematical concepts of probability theory, illustrated by some of the applications that have stimulated their development.
His characterization of probability thus contains the roots of at least two different concepts of probability.
For this reason, proto-frequentism is included here among the medieval concepts of probability.
Indeed, various cottage industries are springing up involving the interrelations among the different concepts of probability.
There are puzzles surrounding this concept, especially with respect to the use of physical concepts of probability.
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