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Foundations of a quantum probability theory
Journal of Mathematical Physics, 1975Statistical physical theories are frequently formulated in terms of probabilistic structures founded on a ’’logic of experimentally verifiable propositions.’’ It is argued that to each experimentally verifiable proposition there corresponds an experimental procedure which, in general, alters the state of the system, and is completely characterized by a
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On the Foundations of the Theory of Probabilities
Philosophy of Science, 1934The foundation of the mathematical theory of probabilities is still a controversial subject. There are schools of insufficient reasoning and of cogent reasoning, of a priori determination and of frequency determination, of subjective and of objective probability. Two main difficulties exist. The first is the definition of equally like events.
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Foundations of the Theory of Probability and the Theory of Errors
1973Random event. If a certain event, in given circumstances, may occur or may not occur, then it is called a random event. The probability of a random event is a quantitative estimation of the probability of its occurrence.
I. N. Bronshtein, K. A. Semendyayev
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The Empirical Foundations of Probability Theory
The Mathematics Teacher, 1973It 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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Foundations of Probability Theory
2009This chapter contains sections titled: Historical Background Approaches to the Definition of Probability The Concept of Probability The Field of Events Classical Definition of Probability Random Variables Numerical Characteristics of Random Variables Basic Rules of Operation Computing Conditional ...
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On the Foundations of Probability Theory
1967My 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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