Paradoxes in Probability Theory: 0 (SpringerBriefs in Philosophy)

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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.

Paradoxes in Probability Theory: 0 (SpringerBriefs in Philosophy) Review

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.

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