Results 141 to 150 of about 13,360 (200)

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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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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Identical foundation of probability theory and fuzzy set theory

Proceedings of the Fifth International Conference on Information Fusion. FUSION 2002. (IEEE Cat.No.02EX5997), 2003
Information 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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On The Logical Foundations of Probability Theory

1992
When we talk about random events in the everyday sense of the word, we mean phenomena in which we do not find any regularities that would allow us to predict their behaviour. Generally speaking, there are no reasons to suggest that events random in this sense obey any probability laws.
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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   +2 more
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Foundations of a new system of probability theory

Topoi, 1986
The 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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Foundations of the Theory of Probability

The Mathematical Gazette, 1951
B. C. Brookes, A. N. Kolmogorov
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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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