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Frequencies and the Mathematics of Probability

2018
Of the many sorts of questions that can be asked of a specific piece of reasoning in natural science the following three may be distinguished: 1. Does it follow? That is, are the conclusions so related to the evidence (or premises) that they may be said necessarily to follow from them?
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Actuarial Mathematics

Arch. Formal Proofs, 2022
Yosuke Ito
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Mathematical Model of Behavior Probability

Systems Engineering - Theory & Practice, 2007
Abstract To describe probabilities of behaviors under certain expectation of return, the mathematical model of behavior probability is set up. The inputs of the model are expected returns; the outputs of the model are behavior probabilities. In the case of colonies, the behavior probability can be regarded as the proportion of those who take the ...
Yue Jiao, Shao-rong Sun, Chun-xia Liu
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Some mathematical tools for linguistic probabilities

Fuzzy Sets and Systems, 1977
Abstract We propose and develop, in this paper, some concepts and techniques useful for the theory of linguistic probabilisies introduced by L.A. Zadeh. These probabilities are expressed in linguistic rather than numerical terms. The mathematical framework for this study is based upon the possibility theory.
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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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Mathematical probability and statistical inference

1994
Summary: The paper gives some personal recollections of the development of mathematical probability theory and its applications to statistical inference during the twenty years between the two world wars, preceded and followed by some brief notes on the development before 1920 and after 1940.
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Saussure or the Dread of Mathematical Probabilities [PDF]

open access: possible, 2011
The meaning of a phrase is related to its sequence of sounds and its enunciation. But how is this correspondence made? Does it involve a mapping from a set of terms to a set of meanings? Or is it more global - the meaning of a word depending on the context and influencing this context in return? In that case, are there situations where several meanings
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Introduction to Mathematical Probability.

The American Mathematical Monthly, 1938
J. A. Greenwood, J. V. Uspensky
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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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