Boole's logic and probability.
Amsterdam, Netherlands ; New York : North-Holland Pub. Co. ; New York, N.Y., U.S.A. : Sole distributors for the U.S.A. and Canada, Elsevier Science Pub. Co., 1986
|提及的人：||George Boole; George Boole; George Boole|
|ISBN:||9780444879523 0444879528 9781435686984 1435686985|
|复制注解：||Electronic reproduction. [S.l.] : HathiTrust Digital Library, 2010. MiAaHDL|
|描述：||1 online resource (xii, 428 pages).|
|详述：||Master and use copy. Digital master created according to Benchmark for Faithful Digital Reproductions of Monographs and Serials, Version 1. Digital Library Federation, December 2002.|
|内容：||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.|
|丛书名：||Studies in logic and the foundations of mathematics, v. 85.|
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.
- Algebraic logic.
- Algebra, Boolean.
- Boole, George, -- 1815-1864.
- Logique algébrique.
- Boole, Algèbre de.
- MATHEMATICS -- Infinity.
- MATHEMATICS -- Logic.
- Algebraïsche logica.
- Booleaanse algebra.
- Boolesche Algebra.
- Mathematische Logik.
- Probabilities -- Theories of Boole, George
- Mathematical logic -- Theories of Boole, George