Paperback. 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. Paradoxes provide a vehicle for exposing misinterpretations and misapplications of accepted principles. 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. Shipping may be from multiple locations in the US or from the UK, depending on stock availability.

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Titolo: Paradoxes in Probability Theory (Paperback)
Editore: Springer, Dordrecht
Data di pubblicazione: 2012
Lingua: Inglese
ISBN 10: 9400751397
ISBN 13: 9789400751392
Rilegatura: Paperback
Condizione: new

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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.

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