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Boole's Logic and Probability

A Critical Exposition from the Standpoint of Contemporary Algebra, Logic and Probability Theory

T. Hailperin (Autor)

Buch | Hardcover

427 Seiten

1986 | 2nd edition
North-Holland (Verlag)
978-0-444-87952-3 (ISBN)

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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.

Erscheint lt. Verlag	1.10.1986
Reihe/Serie	Studies in Logic and the Foundations of Mathematics
Sprache	englisch
Themenwelt	Mathematik / Informatik ► Mathematik ► Allgemeines / Lexika
Themenwelt	Mathematik / Informatik ► Mathematik ► Wahrscheinlichkeit / Kombinatorik
ISBN-10	0-444-87952-8 / 0444879528
ISBN-13	978-0-444-87952-3 / 9780444879523
Zustand	Neuware