Paradoxes in Probability Theory

William Eckhardt

ISBN 10: 9400751397 / ISBN 13: 9789400751392

Editore: Springer Netherlands, Springer Netherlands Sep 2012, 2012

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This item is printed on demand - it takes 3-4 days longer - Neuware -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. 96 pp. Englisch.

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Dati bibliografici

• Titolo: Paradoxes in Probability Theory
• Editore: Springer Netherlands, Springer Netherlands Sep 2012
• Data di pubblicazione: 2012
• Lingua: Inglese
• ISBN 10: 9400751397
• ISBN 13: 9789400751392
• Rilegatura: Taschenbuch
• Condizione: Neu
• Dimensioni: 235 L x 155 A x 6 P (millimetri) 235 millimetri di larghezza per 155 millimetri di altezza per 6 millimetri di profondità
• Peso: 160 grammi

Descrizione articolo

Riassunto

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.

Contenuti

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.​