Statistical and Inductive Probabilities

Nonfiction, Science & Nature, Mathematics, Statistics
Cover of the book Statistical and Inductive Probabilities by Hugues Leblanc, Dover Publications
View on Amazon View on AbeBooks View on Kobo View on B.Depository View on eBay View on Walmart
Author: Hugues Leblanc ISBN: 9780486154824
Publisher: Dover Publications Publication: January 27, 2012
Imprint: Dover Publications Language: English
Author: Hugues Leblanc
ISBN: 9780486154824
Publisher: Dover Publications
Publication: January 27, 2012
Imprint: Dover Publications
Language: English
Among probability theorists, a bitter controversy has raged for decades between the adherents of John Maynard Keynes' A Treatise on Probability (1921) and those of Richard von Mises' "Grundlagen der Wahrscheinlichkeitsrechnung" (1919). Keynes declared that probabilities measure the extent to which a so-called evidence proposition supports another sentence. Von Mises insisted that they measure the relative frequency with which the members of a so-called reference set belong to another set. Statistical and Inductive Probabilities offers an evenhanded treatment of this issue, asserting that both statistical and inductive probabilities may be treated as sentence-theoretic measurements, and that the latter qualify as estimates of the former.
Beginning with a survey of the essentials of sentence theory and of set theory, author Hugues Leblanc examines statistical probabilities (which are allotted to sets by von Mises' followers), showing that statistical probabilities may be passed on to sentences, and thereby qualify as truth-values. Leblanc concludes with an exploration of inductive probabilities (which Keynes' followers allot to sentences), demonstrating their reinterpretation as estimates of truth-values.
Each chapter is preceded by a summary of its contents. Illustrations accompany most definitions and theorems, and footnotes elucidate technicalities and bibliographical references.
View on Amazon View on AbeBooks View on Kobo View on B.Depository View on eBay View on Walmart
Among probability theorists, a bitter controversy has raged for decades between the adherents of John Maynard Keynes' A Treatise on Probability (1921) and those of Richard von Mises' "Grundlagen der Wahrscheinlichkeitsrechnung" (1919). Keynes declared that probabilities measure the extent to which a so-called evidence proposition supports another sentence. Von Mises insisted that they measure the relative frequency with which the members of a so-called reference set belong to another set. Statistical and Inductive Probabilities offers an evenhanded treatment of this issue, asserting that both statistical and inductive probabilities may be treated as sentence-theoretic measurements, and that the latter qualify as estimates of the former.
Beginning with a survey of the essentials of sentence theory and of set theory, author Hugues Leblanc examines statistical probabilities (which are allotted to sets by von Mises' followers), showing that statistical probabilities may be passed on to sentences, and thereby qualify as truth-values. Leblanc concludes with an exploration of inductive probabilities (which Keynes' followers allot to sentences), demonstrating their reinterpretation as estimates of truth-values.
Each chapter is preceded by a summary of its contents. Illustrations accompany most definitions and theorems, and footnotes elucidate technicalities and bibliographical references.

More books from Dover Publications

Cover of the book The Canterbury Tales by Hugues Leblanc
Cover of the book Dynamic Programming by Hugues Leblanc
Cover of the book The Best Short Stories of Katherine Mansfield by Hugues Leblanc
Cover of the book Real Computing Made Real by Hugues Leblanc
Cover of the book Basic Drawing by Hugues Leblanc
Cover of the book Saint in the Wilderness by Hugues Leblanc
Cover of the book Western Mysticism by Hugues Leblanc
Cover of the book Jams and Jellies by Hugues Leblanc
Cover of the book The History of the Standard Oil Company by Hugues Leblanc
Cover of the book Lost Islands by Hugues Leblanc
Cover of the book Flower Children by Hugues Leblanc
Cover of the book What Maisie Knew by Hugues Leblanc
Cover of the book Essays on Teaching by Hugues Leblanc
Cover of the book The Texts of Taoism, Part II by Hugues Leblanc
Cover of the book Contemporary Cables by Hugues Leblanc
We use our own "cookies" and third party cookies to improve services and to see statistical information. By using this website, you agree to our Privacy Policy