Paradoxes in Probability Theory [electronic resource] /by William Eckhardt.
by Eckhardt, William [author.]; SpringerLink (Online service).
Material type:
BookSeries: SpringerBriefs in Philosophy: Publisher: Dordrecht : Springer Netherlands : 2013.Description: XV, 79 p. 5 illus. online resource.ISBN: 9789400751408.Subject(s): Statistics | Logic | Science -- Philosophy | Distribution (Probability theory) | Mathematical statistics | Statistics | Statistical Theory and Methods | Philosophy of Science | Logic | Probability Theory and Stochastic ProcessesDDC classification: 519.5 Online resources: Click here to access online | Item type | Current location | Call number | Status | Date due | Barcode |
|---|---|---|---|---|---|
| MAIN LIBRARY | QA276-280 (Browse shelf) | Available |
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| QC1-QC999 Advances in Mechanisms Design | BJ1-1725 On the (Im)Possibility of Business Ethics | BC1-199 Judgement and the Epistemic Foundation of Logic | QA276-280 Paradoxes in Probability Theory | QC176-176.9 Inside Solid State Drives (SSDs) | R858-859.7 Pediatric Biomedical Informatics | GB3-5030 Application of Nature Based Algorithm in Natural Resource Management |
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.
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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