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This result is completely devastating to the inductive interpretation of the calculus of probability.
But the calculus of probability reveals that probabilistic support cannot be inductive support.
English translation: 1948, The theory of probability, an inquiry into the logical and mathematical foundations of the calculus of probability.
The mere fact that a theory has survived the most rigorous empirical tests available does not, in the calculus of probability, predict its ability to survive future testing.
The Propensity Interpretation of the Calculus of Probability and of the Quantum Theory.
Jean Trembley (1749 - September 18, 1811), born at Geneva, contributed to the development of differential equations, finite differences, and the calculus of probabilities.
The abstract of the paper "On the central limit theorem of calculus of probability and the problem of moments" by Pólya in 1920 translates as follows.
The work done by Fermat and Pascal into the calculus of probabilities laid important groundwork for Leibniz' formulation of the infinitesimal calculus.
His main field of study was philosophy of physics, history of science, multi-valued logic and relation of multi-valued logic to calculus of probability.
In 1949, he succeeded Maurice René Fréchet on the Chair of Calculus of Probabilities and Mathematical Physics at the University of Paris.
As an elementary fact from the calculus of probability, Bayes' rule tells us how unconditional and conditional probabilities are related whether we work with a frequentist interpretation of probability or a Bayesian interpretation of probability.
In the Introduction, Westergaard remarks, "For a long while ... the calculus of probabilities had less influence on statistics than might have been expected, the authors confining themselves to abstract theories which had little or nothing to do with reality."
Such sentiments - for the half-credences of which I speak have never the full force of thought - such sentiments are seldom thoroughly stifled unless by reference to the doctrine of chance, or, as it is technically termed, the Calculus of Probabilities.
His friend Arago, the secretary of the Académie des sciences helped him obtain professorship at the Collège de France in 1833, succeeding the great mathematician Legendre and in and 1834 he was elected as assistant professor in the calculus of probabilities at the Sorbonne.
Insurance technologies, as an apparatus of security for instance, use a calculus of probabilities that transform everything into risk, but most importantly, it "keep a type of criminality, theft for instance, within socially and economically acceptable limits and around an average that will be considered as optimal for a given social functioning."