Statistical And Inductive Probabilities (Dover Books On Mathematics),New

Statistical And Inductive Probabilities (Dover Books On Mathematics),New

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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 Socalled Evidence Proposition Supports Another Sentence. Von Mises Insisted That They Measure The Relative Frequency With Which The Members Of A Socalled 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 Sentencetheoretic 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 Truthvalues. Leblanc Concludes With An Exploration Of Inductive Probabilities (Which Keynes Followers Allot To Sentences), Demonstrating Their Reinterpretation As Estimates Of Truthvalues.Each Chapter Is Preceded By A Summary Of Its Contents. Illustrations Accompany Most Definitions And Theorems, And Footnotes Elucidate Technicalities And Bibliographical References.

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