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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 ...
D. L. Burdick
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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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Modal foundations of probability theory
Erkenntnis, 1981In 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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Identical foundation of probability theory and fuzzy set theory
Proceedings of the Fifth International Conference on Information Fusion. FUSION 2002. (IEEE Cat.No.02EX5997), 2003Information fusion introduces special operators o in probability theory and fuzzy theory. Some serious data certify in each case these two quite distinct techniques. The article shows that four postulates are the unique aim of these two theories. Evidence theory and fuzzy set theory often replace probabilities in medicine, economy and control.
D. de Brucq, O. Colot, A. Sombo
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Carnap's foundation of probability theory
Synthese, 1949In 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 a new system of probability theory
Topoi, 1986The aim of my book is to explain the content of the different notions of probability. Based on a concept of logical probability, which is modified as compared with Carnap, we succeed by means of the mathematical results of de Finetti in defining the concept of statistical probability. The starting point is the fundamental concept that certain phenomena
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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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