منابع مشابه
Linguistic probabilities: theory and application
Over the past two decades a number of different approaches to “fuzzy probabilities” have been presented. The use of the same term masks fundamental differences. This paper surveys these different theories, contrasting and relating them to one another. Problems with these existing approaches are noted and a theory of “linguistic probabilities” is developed, which seeks to retain the underlying i...
متن کاملA Theory of Higher Order Probabilities
We set up a general framework for higher order probabilities. A simple HOP (Higher Order Probability space) consists of a probability space and an operation PR, such that, for every event A and every real closed interval zL PR(A ,A) is the event that A's "true" probability lies in A. (The ' t rue" probability can be construed here either as the objective probability, or the probability assigned...
متن کاملQuantum Mechanics as Generalised Theory of Probabilities
The thesis I will defend here comprises two propositions: Firstly, quantum mechanics is not a physical theory that happens to make use of probability calculus; it is itself a generalised form of probability calculus, doubled by a procedure of evaluation that is probabilistic by way of its controlled usage of symmetries. Secondly, quantum mechanics does not have merely a predictive function like...
متن کاملConsistency, Amplitudes and Probabilities in Quantum Theory
Quantum theory is formulated as the only consistent way to manipulate probability amplitudes. The crucial ingredient is a consistency constraint: if there are two different ways to compute an amplitude the two answers must agree. This constraint is expressed in the form of functional equations the solution of which leads to the usual sum and product rules for amplitudes. A consequence is that t...
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ژورنال
عنوان ژورنال: Transactions of the Faculty of Actuaries
سال: 1953
ISSN: 0071-3686,2058-1033
DOI: 10.1017/s0071368600006169