[PDF] Boole's Logic and Probability: Critical Exposition from the Standpoint of Contemporary Algebra, Logic and Probability Theory (Studies in Logic and the Foundations of Mathematics)

ISBN: 0444879528

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Posted on 2017-11-15, by luongquocchinh.

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Author: Theodore Hailperin | Publisher: Elsevier Science Ltd | Category: Mathematics | Language: English | Page: 440 | ISBN: 0444879528 | ISBN13: 9780444879523 |

Description: 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.

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