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
Resource Information
The item Creating modern probability : its mathematics, physics, and philosophy in historical perspective, Jan von Plato represents a specific, individual, material embodiment of a distinct intellectual or artistic creation found in University of Missouri Libraries.This item is available to borrow from 1 library branch.
Resource Information
The item Creating modern probability : its mathematics, physics, and philosophy in historical perspective, Jan von Plato represents a specific, individual, material embodiment of a distinct intellectual or artistic creation found in University of Missouri Libraries.
This item is available to borrow from 1 library branch.
 Language
 eng
 Extent
 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, 19191933  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
 Isbn
 9780521444033
 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
 Language
 eng
 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
 Bibliography note
 Includes bibliographical references (pages 289316) 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, 19191933  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
 Bibliography note
 Includes bibliographical references (pages 289316) 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, 19191933  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
Subject
Genre
Member of
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