Results 251 to 260 of about 166,267,832 (304)

On the Foundations of Probability Theory

1967
My paper will deal with some aspects of the foundations of objective probability theory, more specifically, of the frequency theory of objective probability (see p. 207 for a closer description of our aim). The word ‘objective’ is used in contrast to ‘subjective’ or ‘personal’, and ‘theory’ indicates that we do not plan an analysis of the daily-life ...
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The Empirical Foundations of Probability Theory

The Mathematics Teacher, 1973
It is desirable that scientifically oriented secondary and college students be exposed to the role played by mathematics in modeling physical theory and experiment. The nature of the probability model and the empirical evidence offered to support its applications can furnish a very effective counterpoint to the standard examples of the empirical ...
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Modal foundations of probability theory

Erkenntnis, 1981
In this paper I want to outline how the sequential logic introduced in [12] can serve as a syntactical basis for a non-classical modal logic. In a second step I shall found a probability theory on this modal logic in such a way that probabilities represent degrees of possibility. The three levels: sequen?
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Mathematical Foundations of Probability Theory

1984
The theory of probability, as a mathematical discipline, can and should be developed from axioms in exactly the same way as Geometry and Algebra. This means that after we have defined the elements to be studied and their basic relations, and have stated the axioms by which these relations are to be governed, all further exposition must be based ...
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Carnap's foundation of probability theory

Synthese, 1949
In 1945, in a paper in "Philosophy and Phenomenological Research", Rudolf Carnap made a distinction between two concepts of probability. One of these, called by him "probability2", is based in one form or another on frequency quotients of observed phenomena, whereas the other one, called "probabilityi", deals with a concept like "rational degree of ...
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Foundations of the Theory of Probability

The Mathematical Gazette, 1951
B. C. Brookes, A. N. Kolmogorov
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Foundations of Probability Theory

2022
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Foundation of Huygens' theory of probability

1983
Si è guardato al trattato "De ratiociniis in ludo aleae" di Huygens come a una teoria del giusto valore di ogni situazione di gioco giustificata razionalmente sulla base della possibilità di attribuire un prezzo equo a giochi particolarmente semplici. Si è indicato come esso non sia un'applicazione del calcolo delle probabilità ai giochi d'azzardo,
FENAROLI, GIUSEPPINA, U. GARIBALDI, PENCO, MARIA ANTONIETTA   +2 more
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The Foundations of a Theory of Logical Probability

Abstract Any theory of logical probability must satisfy the three axioms that constitute the formal theory of probability, and should then be built on acceptable equiprobability principles. These should include the following four, which are widely accepted: (1) the interchange of individuals principle, (2) the permutation of ...
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Ergodic Theory and the Foundations of Probability

1988
In the following, I shall illustrate through examples how useful the notions and results of ergodic theory are for the foundations of probability. Ergodic theory can be discussed from many points of view. It originated with the development of statistical mechanics in classical physics.
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