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The Resource Creating modern probability : its mathematics, physics, and philosophy in historical perspective, Jan von Plato

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

Label
Creating modern probability : its mathematics, physics, and philosophy in historical perspective
Title
Creating modern probability
Title remainder
its mathematics, physics, and philosophy in historical perspective
Statement of responsibility
Jan von Plato
Creator
Subject
Genre
Language
eng
Member of
Cataloging source
DLC
http://library.link/vocab/creatorName
Von Plato, Jan
Index
index present
Literary form
non fiction
Nature of contents
bibliography
Series statement
Cambridge studies in probability, induction, and decision theory
http://library.link/vocab/subjectName
Probabilities
Label
Creating modern probability : its mathematics, physics, and philosophy in historical perspective, Jan von Plato
Instantiates
Publication
Bibliography note
Includes bibliographical references (pages 289-316) and indexes
Carrier category
volume
Carrier category code
nc
Carrier MARC source
rdacarrier
Content category
text
Content type code
txt
Content type MARC source
rdacontent
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
Control code
27811683
Dimensions
24 cm
Extent
x, 323 pages
Isbn
9780521444033
Lccn
93019026
Media category
unmediated
Media MARC source
rdamedia
Media type code
n
System control number
(WaOLN)1214803
Label
Creating modern probability : its mathematics, physics, and philosophy in historical perspective, Jan von Plato
Publication
Bibliography note
Includes bibliographical references (pages 289-316) and indexes
Carrier category
volume
Carrier category code
nc
Carrier MARC source
rdacarrier
Content category
text
Content type code
txt
Content type MARC source
rdacontent
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
Control code
27811683
Dimensions
24 cm
Extent
x, 323 pages
Isbn
9780521444033
Lccn
93019026
Media category
unmediated
Media MARC source
rdamedia
Media type code
n
System control number
(WaOLN)1214803

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