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The mathematics of probability

2009
The following decision problem appeared some years ago in Marilyn vos Savant's Ask Marilyn column in Parade Magazine . You are a contestant in a game show hosted by Monty Hall. You have to choose one of three doors, and you win whatever is behind the door you pick. Behind one door is a brand new car. Behind the other two is a goat.
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Keynes, Mathematics and Probability: A Reappraisal [PDF]

open access: possibleSSRN Electronic Journal, 2011
I will argue that when Keynes states that, in general, probabilities are not susceptible to numerical estimation, he is arguing that the probabilities, in general, can’t be represented by single number answers or point estimates. But they can be represented by intervals. Keynes’s general approach to probability is an interval estimate approach.
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Is probability a part of mathematical truth?

1992
We wish to look to using probabilistic methods in what some may view as the “strange new” mathematics. If nature uses probability in quantum physics, then why shouldn’t mathematicians? The possibilities abound. Perhaps “undecidable propositions” should be looked at as statements with probabilistic truth values, perhaps “NP-complete” problems should be ...
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A Mathematical Extra: Probability Analysis

1985
Questions which present themselves in the course of an investigation such as the one described in this chapter, are: what is the probability that certain numerical patterns occur in a passage? Is there a risk that we declare fortuitous occurrences of a pattern to be intentional occurrences? Dr. A.
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Introduction to Mathematical Probability.

The American Mathematical Monthly, 1938
J. A. Greenwood, J. V. Uspensky
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Mathematics of Multidart Probability Predictions

1984
Abstract : A general equation has been derived which can be used to predict the hit and kill probability of multidart single shot patterns, as well as single dart multishot patterns.
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Mathematical Underpinnings of Probability Theory

2013
The purpose of this chapter is to provide a background on the results from probability and inference theory required for the study of several of the topics of contemporary econometrics.
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On the Mathematical Foundations of Probability.

Journal of the Royal Statistical Society. Series A (General), 1973
Tue Tjur, D. V. Lindley
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