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Foundations of Probability with Applications: Selected Papers 1974-1995 (Cambridge Studies in Probability, Induction and Decision Theory)

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This collection of essays,edited by Suppes and Zanotti(SZ),would have been given a five star rating except for the fact that the first portion of the book,Part I ,The Foundations of probability,which deals extensively with lower and upper probabilities and qualitative axioms for conditional probabilities,fails to mention even once the basic work done by Boole that was adapted by Keynes in his 1921 A Treatise on Probability(TP), in chapters 15,17,20 and 22, into a systematic approach to the specification of lower and upper probabilities.Another glaring ommission is the failure of the authors to consider Keynes's attempt,the first in history,to provide an axiomatic foundation that would be applicable to both numerical and nonnumerical(this is the name Keynes gave to his lower-upper interval estimates of probability)probabilities on pp.135-138 of the TP.Nonetheless,this book is worthwhile if the reader is a specialist in mathematical probability and the philosophy of probability.