Boole's logic and probability : a critical exposition from the standpoint of contemporary algebra, logic, and probability theory /
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...
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Main Authors: | |
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Corporate Authors: | |
Published: |
North-Holland Pub. Co. ; Sole distributors for the U.S.A. and Canada, Elsevier Science Pub. Co.,
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Publisher Address: | Amsterdam, Netherlands ; New York : New York, N.Y., U.S.A. : |
Publication Dates: | 1986. |
Literature type: | eBook |
Language: | English |
Edition: | 2nd ed., rev. and enl. |
Series: |
Studies in logic and the foundations of mathematics ;
v. 85 |
Subjects: | |
Online Access: |
http://www.sciencedirect.com/science/bookseries/0049237X/85 |
Summary: |
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. |
Carrier Form: | 1 online resource (xii, 428 pages). |
Bibliography: | Includes bibliographical references and index. |
ISBN: |
9780444879523 0444879528 9781435686984 1435686985 |
Index Number: | QA10 |
CLC: | O141 |