Probability theory: the logic of science

  title={Probability theory: the logic of science},
  author={Edwin T. Jaynes},
  journal={The Mathematical Intelligencer},
  • E. Jaynes
  • Published 2005
  • The Mathematical Intelligencer
This is a remarkable book by a remarkable scientist. E. T. Jaynes was a physicist, principally theoretical, who found himself driven to spend much of his life advocating, defending and developing a particular view of probability theory. His interest was triggered in the 1950s by the role of probability in quantum mechanics, the theory that supersedes Newton’s physics on subatomic scales. Quantum mechanics predicts certain things only probabilistically. The theory is a huge success—the… 
Is Quantum Mechanics a New Theory of Probability?
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  • Jerusalem Studies in Philosophy and History of Science
  • 2020
Some physicists but many philosophers believe that standard Hilbert space quantum mechanics faces a serious measurement problem, whose solution requires a new theory or at least a novel
The solution of the sixth Hilbert problem: the ultimate Galilean revolution
  • G. D’Ariano
  • Physics, Mathematics
    Philosophical Transactions of the Royal Society A: Mathematical, Physical and Engineering Sciences
  • 2018
It is argued that a prototype example of such a mathematical theory is provided by the novel algorithmic paradigm for physics, as in the recent information-theoretical derivation of quantum theory and free quantum field theory.
The Foundations of Bayesian Epistemology: A Philosophical Introduction
One of the central tenets of Bayesianism is probabilism. This is the claim that degrees of belief either do or should satisfy the axioms of probability theory. Taking this literally, it means that
Bayesian Probability and Relative Frequency in Quantum Mechanics
We present a comparative study between classical probability and quantum probability from the Bayesian viewpoint, where probability is construed as our rational degree of belief on whether a given
Grounding Bohmian mechanics in weak values and bayesianism
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The little-hierarchy problem is a little problem: understanding the difference between the big- and little-hierarchy problems with Bayesian probability
Experiments are once again under way at the LHC. This time around, however, the mood in the high-energy physics community is pessimistic. There is a growing suspicion that naturalness arguments that
“The Heisenberg Method”: Geometry, Algebra, and Probability in Quantum Theory
The article explores the implications of the Heisenberg method and of the QPA principle for quantum theory, and for the relationships between mathematics and physics there, from a nonrealist or, in terms of this article, “reality-without-realism” or RWR perspective, defining the RWR principle.
Cox's Theorem and the Jaynesian Interpretation of Probability
There are multiple proposed interpretations of probability theory: one such interpretation is true-false logic under uncertainty. Cox's Theorem is a representation theorem that states, under a
The Hilbert space of conditional clauses
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Sir Isaac Newton's Mathematical Principles of Natural Philosophy and his System of the World
ANDREW MOTTE'S translation of the “Principia” is not so well known as it deserves to be. It was supplied to his brother, the publisher, soon after Newton's death. One might expect it then to be no
A mathematical theory of evidence
This book develops an alternative to the additive set functions and the rule of conditioning of the Bayesian theory: set functions that need only be what Choquet called "monotone of order of infinity." and Dempster's rule for combining such set functions.
Fisher, Jeffreys, and the Nature of Probability
Bayesian inference was Fisher’s intellectual bete noire. His work is filled with sharp attacks on “inverse probability”,1 and for many years he sought to develop a logic of induction alternative to
Natural Philosophy of Cause and Chance
READERS of Nature may recall a vigorous controversy, conducted in its correspondence columns in 1944 and 1945, on the question whether determinism. In the book which is the subject of the present
Bayesian Conditionalisation and the Principle of Minimum Information
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  • Mathematics
    The British Journal for the Philosophy of Science
  • 1980
The use of the principle of minimum information, or equivalently the principle of maximum entropy, has been advocated by a number of authors over recent years both in statistical physics as well as
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  • Computer Science
    The British Journal for the Philosophy of Science
  • 1972
Re-reading the book one is again impressed with its easy-flowing style, full of felicitous phrases—such as 'cheerful concordat' to describe the current state of divided opinion on the foundations of set theory—but with careful attention to logical niceties.
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Summary Some articles of Bruno de Finetti and also of Leonard J. Savage which advance a form of subjective neoBayesianism for the foundation of statistics are critically examined. The assertion that
The Foundations of Mathematics and Other Logical Essays
Although not yet 27 years of age at the time of his death, Ramsey left contributions to mathematics, logic, and economics which were of the greatest value for contemporary philosophy. The present
Bayes or Laplace? An examination of the origin and early applications of Bayes' theorem
Maistrov (1974) in fact goes so far as to say "Bayes' formula appears in all texts on probability theory" (p. 87), a statement which is perhaps a little exaggerated (unless, of course, one is
Frontiers of nonequilibrium statistical physics
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