Boole's Logic and Probability, Volume 85

2nd Edition

A Critical Exposition from the Standpoint of Contemporary Algebra, Logic and Probability Theory

Print ISBN: 9780444879523
eBook ISBN: 9780080880051
Imprint: North Holland
Published Date: 1st October 1986
Page Count: 427
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Since the publication of the first edition in 1976, there has been a notable increase of interest in the development of logic. This is evidenced by the several conferences on the history of logic, by a journal devoted to the subject, and by an accumulation of new results. This increased activity and the new results - the chief one being that Boole's work in probability is best viewed as a probability logic - were influential circumstances conducive to a new edition.

Chapter 1, presenting Boole's ideas on a mathematical treatment of logic, from their emergence in his early 1847 work on through to his immediate successors, has been considerably enlarged. Chapter 2 includes additional discussion of the ``uninterpretable'' notion, both semantically and syntactically. Chapter 3 now includes a revival of Boole's abandoned propositional logic and, also, a discussion of his hitherto unnoticed brush with ancient formal logic. Chapter 5 has an improved explanation of why Boole's probability method works. Chapter 6, Applications and Probability Logic, is a new addition. Changes from the first edition have brought about a three-fold increase in the bibliography.

Table of Contents

  1. Requisites from Algebra, Logic and Probability.
    Part I: Logic. 1. Boole's Logic of Class Terms. 2. Formalization of Boole's Logic. 3. Boole's Propositional Logic. Part II: Probability. 4. Probability from Boole's Viewpoint. 5. Boole's Probability Made Rigorous. 6. Applications. Probability Logic. Bibliography. Index.


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© North Holland 1986
North Holland
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@from:J.W. van Evra @qu:...those speaking knowledgeably of Boole have supported their comments by invoking the authority of Hailperin with increasing frequency. The first edition merited that status; the second deserves it even more ...a truly exceptional volume. @source:History and Philosophy of Logic @from:H.E. Kyburg @qu:This was an important and useful book in its first edition. It has now become even more important, since it now addresses a large class of contemporary problems in the handling and propagation of uncertainty. @source:Zentralblatt für Mathematik