Probability theory and probability logic / P. Roeper and H. Leblanc.

Enhanced descriptions from Syndetics:

As a survey of many technical results in probability theory and probability logic, this monograph by two widely respected scholars offers a valuable compendium of the principal aspects of the formal study of probability.

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CHOICE Review

This interesting and useful monograph for researchers, philosophers, and advanced graduate students by Roeper (philosophy, Australian National Univ.) and Leblanc (Universite de Quebec), well known for their contributions to studies concerning probability and logic, offers discussions on probability theory and probability logic. Part 1 provides a study of the logic of probability judgments and the logical relations among probability judgments encapsulated in systems of constraints. Probability functions are presented for propositional, infinitary, and quantificational logic. The authors also discuss at great length the relationship between relative and absolute probability functions, and provide representation of relative probability functions by absolute probability functions. Part 2, links between probability functions and semantic notions, treats absolute probability functions representing degrees of logical truth, relative probability functions representing degrees of logical consequence, absolute and relative probability functions for intuitionist logic. The presentation is marked with great clarity, and every topic is treated in considerable depth. All those interested in the theory of probability and probability logic will find this scholarly monograph very valuable and rewarding. Two appendixes; indexes of constraints and subjects; useful notes. Highly recommended. Graduate students and up. D. V. Chopra; Wichita State University