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Paradoxes in Probability Theory: SpringerBriefs in Philosophy

Autor William Eckhardt
en Limba Engleză Paperback – 27 sep 2012
Paradoxes provide a vehicle for exposing misinterpretations and misapplications of accepted principles. This book discusses seven paradoxes surrounding probability theory.  Some remain the focus of controversy; others have allegedly been solved, however the accepted solutions are demonstrably incorrect. Each paradox is shown to rest on one or more fallacies.  Instead of the esoteric, idiosyncratic, and untested methods that have been brought to bear on these problems, the book invokes uncontroversial probability principles, acceptable both to frequentists and subjectivists. The philosophical disputation inspired by these paradoxes is shown to be misguided and unnecessary; for instance, startling claims concerning human destiny and the nature of reality are directly related to fallacious reasoning in a betting paradox, and a problem analyzed in philosophy journals is resolved by means of a computer program.​
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Specificații

ISBN-13: 9789400751392
ISBN-10: 9400751397
Pagini: 96
Ilustrații: XV, 79 p. 5 illus.
Dimensiuni: 155 x 235 x 5 mm
Greutate: 0.14 kg
Ediția:2013
Editura: SPRINGER NETHERLANDS
Colecția Springer
Seria SpringerBriefs in Philosophy

Locul publicării:Dordrecht, Netherlands

Public țintă

Research

Cuprins

Introduction.- Chapter 1. The Seven Paradoxes.- Chapter 2. Doomsday!.- Chapter 3. The Betting Crowd.- Chapter 4. The Simulation Argument.- Chapter 5. Newcomb's Problem.- Chapter 6. The Open Box Game.- Chapter 7. The Hadron Collider Card Experiment.- Chapter 8. The Two-Envelopes Problem.- Chapter 9. Odds and Ends.- Epilogue. Anthropic Eden.​

Caracteristici

Presents an overview of seven paradoxes in probability theory Contains chapters on the Betting Crowd and the Two Envelope probability paradox? Includes supplementary material: sn.pub/extras