Boole's logic and probability: A critical exposition from the standpoint of contemporary algebra, logic, and probability theory (Studies in logic and the foundations of mathematics) - Hardcover

Hailperin, Theodore

Hardcover

ISBN 10: 0444110372 ISBN 13: 9780444110374

Publisher: sole distributors for the U.S.A. and Canada American Elsevier Pub. Co, 1976

Synopsis

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.

About this edition

• Publisher: sole distributors for the U.S.A. and Canada American Elsevier Pub. Co
• Publication date: 1976
• ISBN 10: 0444110372
• ISBN 13: 9780444110374
• Binding: Hardcover
• Number of pages: 245