{"product_id":"9780486154824","title":"Statistical and Inductive Probabilities","description":"Among probability theorists, a bitter controversy has raged for decades between the adherents of John Maynard Keynes' \u003ci\u003eA Treatise on Probability\u003c\/i\u003e (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. \u003ci\u003eStatistical and Inductive Probabilities\u003c\/i\u003e 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.\u003cbr\u003eBeginning 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.\u003cbr\u003eEach chapter is preceded by a summary of its contents. Illustrations accompany most definitions and theorems, and footnotes elucidate technicalities and bibliographical references.","brand":"Dover Publications","offers":[{"title":"Default Title","offer_id":47112138653936,"sku":"9780486154824","price":10.95,"currency_code":"USD","in_stock":true}],"thumbnail_url":"\/\/cdn.shopify.com\/s\/files\/1\/0737\/7593\/9824\/files\/9780486154824_p0.jpg?v=1763708374","url":"https:\/\/shop-qa.barnesandnoble.com\/products\/9780486154824","provider":"Barnes \u0026 Noble (DEV)","version":"1.0","type":"link"}