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Book Cover
E-book
Author Eckhardt, William, 1955-

Title Paradoxes in probability theory / William Eckhardt
Published Dordrecht ; New York : Springer, ©2013

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Description 1 online resource (xv, 79 pages) : illustrations
Series SpringerBriefs in philosophy, 2211-4548
SpringerBriefs in philosophy.
Contents Seven Paradoxes -- A Summary of the Paradoxes -- Part 1. Anthropic Fallacies -- DOOMSDAY! -- The Betting Crowd -- The Simulation Argument -- Part 2. Dilemmas of Cooperation -- Newcomb's Problem -- The Open Box Game -- The Hadron Collider Card Experiment -- Part 3. Mystifying Envelopes -- The Two-Envelopes Problem -- Odds and Ends
Summary "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."--Publisher's website
Analysis Statistics
Logic
Science -- Philosophy
Distribution (Probability theory)
Mathematical statistics
Statistical Theory and Methods
Probability Theory and Stochastic Processes
Bibliography Includes bibliographical references and index
Notes English
Print version record
Subject Probabilities -- Philosophy
Logic, Symbolic and mathematical.
MATHEMATICS -- Applied.
MATHEMATICS -- Probability & Statistics -- General.
Droit.
Sciences sociales.
Sciences humaines.
Probabilidades -- Filosofía
Lógica matemática
Logic, Symbolic and mathematical
Probabilities -- Philosophy
Form Electronic book
ISBN 9789400751408
9400751400