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Paradoxes in Probability Theory

  • William Eckhardt

Part of the SpringerBriefs in Philosophy book series (BRIEFSPHILOSOPH)

Table of contents

  1. Front Matter
    Pages i-xv
  2. William Eckhardt
    Pages 1-4
  3. Anthropic Fallacies

    1. Front Matter
      Pages 5-5
    2. William Eckhardt
      Pages 7-10
    3. William Eckhardt
      Pages 11-13
    4. William Eckhardt
      Pages 15-17
  4. Dilemmas of Cooperation

    1. Front Matter
      Pages 19-19
    2. William Eckhardt
      Pages 21-34
    3. William Eckhardt
      Pages 35-38
    4. William Eckhardt
      Pages 39-44
  5. Mystifying Envelopes

    1. Front Matter
      Pages 45-45
    2. William Eckhardt
      Pages 47-58
    3. William Eckhardt
      Pages 59-73
  6. Back Matter
    Pages 75-79

About this book

Introduction

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.​

Keywords

Anthropic Fallacies Betting Crowd Probability Theory Doomsday Argument probability theory Esoteric Methods Idiosyncratic Methods Misguided paradoxes Newcomb's Problem probability theory Newcomb's problem Open box game probability theory Paradoxes Probability theory Paradoxes in Probability Theory Prisoner's dilemma Simulation Argument probability theory Two envelopes probability theory hadron collider card experiment probability theory

Authors and affiliations

  • William Eckhardt
    • 1
  1. 1.Eckhardt Trading CompanyChicagoUSA

Bibliographic information

  • DOI https://doi.org/10.1007/978-94-007-5140-8
  • Copyright Information The Author(s) 2013
  • Publisher Name Springer, Dordrecht
  • eBook Packages Mathematics and Statistics
  • Print ISBN 978-94-007-5139-2
  • Online ISBN 978-94-007-5140-8
  • Series Print ISSN 2211-4548
  • Series Online ISSN 2211-4556
  • Buy this book on publisher's site