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Creating modern probability : its mathematics, physics, and philosophy in historical perspective

Author: Jan Von Plato
Publisher: Cambridge [England] ; New York : Cambridge University Press, 1994.
Series: Cambridge studies in probability, induction, and decision theory.
Edition/Format:   eBook : Document : EnglishView all editions and formats
Summary:
This is the only book to chart the history and development of modern probability theory. It shows how in the first thirty years of this century probability theory became a mathematical science. The author also traces the development of probabilistic concepts and theories in statistical and quantum physics. There are chapters dealing with chance phenomena, as well as the main mathematical theories of today, together  Read more...
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Genre/Form: Electronic books
History
Additional Physical Format: Print version:
Von Plato, Jan.
Creating modern probability.
Cambridge [England] ; New York : Cambridge University Press, 1994
(DLC) 93019026
(OCoLC)27811683
Material Type: Document, Internet resource
Document Type: Internet Resource, Computer File
All Authors / Contributors: Jan Von Plato
ISBN: 9780511609107 0511609108
OCLC Number: 817934399
Description: 1 online resource (x, 323 pages).
Contents: 1. Introduction. 1.1. What this book is all about. 1.2. Shift from classical probability. 1.3. Physics. 1.4. The final stage, 1919-1933 --
2. Pathways to modern probability. 2.1. First steps in measure theoretic probability. Axiomatization. 2.2. Borel and the intrinsic properties of reals. 2.3. Strong laws of large numbers. 2.4. Continuous distribution problems. Weyl's view of causality --
3. Probability in statistical physics. 3.1. Concepts of probability in classical statistical physics. 3.2. Ergodic theory. 3.3. Einstein's views on probability. 3.4. Brownian motion and random processes. 3.5. Radioactivity before its explanation in quantum theory --
4. Quantum mechanical probability and indeterminism. 4.1. Probability in the old quantum theory. 4.2. The probabilistic interpretation of quantum mechanics. 4.3. The uncertainty relation --
5. Classical embeddings of probability and chance. 5.1. Subjective or objective probability: a philosophical debate. 5.2. The early phase of a theory of objective probability. 5.3. The theory of Hopf --
6. Von Mises' frequentist probabilities. 6.1. Mechanics, probability, and positivism. 6.2. Foundations of probability: the theory of random sequences. 6.3. A purely probabilistic physics. 6.4. The fate of collectives --
7. Kolmogorov's measure theoretic probabilities. 7.1. Foundations and philosophy of mathematics. 7.2. The meaning of probability. Earliest results. 7.3. Random processes and statistical physics. 7.4. The Grundbegriffe. 7.5. The curious reappraisal of von Mises' theory --
8. De Finetti's subjective probabilities. 8.1. 'Probability does not exist'. 8.2. Exchangeability and the representation theorem. 8.3. Stochastic processes: the renunciation of determinism. 8.4. Foundations for the theory of probability. 8.5. The problem of denumerable additivity --
Supplement: Nicole Oresme and the ergodicity of rotations. 1. The question of the periodicity of the universe. 2. The density of rotations of a circle by an irrational angle. 3. Frequentist probability.
Series Title: Cambridge studies in probability, induction, and decision theory.
Responsibility: Jan von Plato.
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Abstract:

This is the only book to chart the history and development of modern probability theory, showing how in the first thirty years of this century probability theory became a mathematical science.  Read more...

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'... von Plato has consulted and drawn on a substantial body of archival material: letters, unpublished manuscripts, and drafts of later-published papers. Thus his book does not just (as is sometimes Read more...

 
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