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Paradoxes in Probability Theory (SpringerBriefs in Philosophy) 2013th Edition

by William Eckhardt (Author)
3.0 3.0 out of 5 stars 3 ratings
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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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  1. ISBN-10
    9400751397
  2. ISBN-13
    978-9400751392
  3. Edition
    2013th
  4. Publisher
    Springer
  5. Publication date
    September 27, 2012
  6. Part of series
    SpringerBriefs in Philosophy
  7. Language
    English
  8. Dimensions
    6.1 x 0.22 x 9.25 inches
  9. Print length
    94 pages
  10. See all details
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Product details

  • Publisher ‏ : ‎ Springer; 2013th edition (September 27, 2012)
  • Language ‏ : ‎ English
  • Paperback ‏ : ‎ 94 pages
  • ISBN-10 ‏ : ‎ 9400751397
  • ISBN-13 ‏ : ‎ 978-9400751392
  • Item Weight ‏ : ‎ 5.6 ounces
  • Dimensions ‏ : ‎ 6.1 x 0.22 x 9.25 inches
  • Customer Reviews:
    3.0 3.0 out of 5 stars 3 ratings

About the author

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William Eckhardt

William Eckhardt

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William Eckhardt is the Founder, Chairman & CEO of Eckhardt Trading Company, a systematic futures trading firm based in Chicago, IL. Mr. Eckhardt directs the firm's systems development and ongoing research.

He received a B.A. in Mathematics from DePaul University in 1969 and a M.S. in Mathematics from the University of Chicago in 1970. In 1974, after four years of doctoral research in Mathematical Logic at the University of Chicago, Eckhardt began trading for his own account at the Mid America Commodity Exchange.

Mr. Eckhardt’s philosophical writing covers a wide range of topics: the illusory nature of time's passage; the nature and status of physical properties; causality; the mind-body problem; decision theory; and paradoxes in probability theory.

Eckhardt serves on the International Advisory Board of the Pacific Institute of Theoretical Physics; and is a member of the University of Chicago Visiting Committee to the Division of Physical Sciences. He provided the leadership gift to establish the William Eckhardt Research Center at the University of Chicago, and finances the William Eckhardt Scholars Fund.

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3 out of 5 stars
3 global ratings

Top reviews from the United States

David J. Aldous
3.0 out of 5 stars Detailed discussion of seven paradoxes
Reviewed in the United States on June 11, 2013
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This short book studies in detail seven fairly well known "paradoxes", giving both the author's resolutions and critiques of previous resolutions. As remarked in a longer review by Olle Haggstrom (AMS Notices March 2013), the essential issue in all such cases is how you choose to go from a verbal description of a hypothetical scenario to a precise mathematical model. This topic is not my cup of tea -- the story scenarios are all very unrealistic, and attempting to make them more realistic is either impossible, or makes the paradox disappear. Nevertheless, if seeing brief accounts of such paradoxes elsewhere (e.g. popular science style books or Wikipedia) leaves you wanting more, or if you have your own solution and want to dispute other solutions, then thinking critically about the arguments in this book will provide a good introduction to a surprisingly large philosophy literature.
6 people found this helpful
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Gauhri
5.0 out of 5 stars Engaging and thoughtful
Reviewed in the United States on April 17, 2020
a great teacher, he brings colorful arguments to make the layman understand complex ideas, and has made a fortune in the practical application of these ideas in the hedge fund business
2 people found this helpful
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Paolo Gesualdo
2.0 out of 5 stars paradoxes in probability theory
Reviewed in Italy on March 22, 2024
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I paragrafi sul doomsday argument e sul simulation argument sono troppo brevi. Il prezzo è troppo alto.
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