Boole's Logic and Probability
A Critical Exposition from the Standpoint of Contemporary Algebra, Logic and Probability Theory
- 2nd Edition, Volume 85 - April 27, 2012
- Imprint: North Holland
- Author: T. Hailperin
- Language: English
- Paperback ISBN:9 7 8 - 0 - 4 4 4 - 5 5 8 2 1 - 3
- eBook ISBN:9 7 8 - 0 - 0 8 - 0 8 8 0 0 5 - 1
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… Read more
Purchase options
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.
0. 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.
- Edition: 2
- Volume: 85
- Published: April 27, 2012
- Imprint: North Holland
- Language: English
Read Boole's Logic and Probability on ScienceDirect