Boole's Logic and Probability

Boole's Logic and Probability
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427
By:"T. Hailperin"
"Mathematics"
Published on 1986-10-01 by Elsevier

A Critical Exposition from the Standpoint of \u003cb\u003eContemporary\u003c/b\u003e Algebra, \u003cb\u003eLogic\u003c/b\u003e and \u003cbr\u003e\nProbability Theory T. Hailperin. I was delighted to find that ... He later came to \u003cbr\u003e\nLehigh as a lecturer in \u003cb\u003eelectrical engineering\u003c/b\u003e and mathematical physics, and was \u003cbr\u003e\nthere from 1895 to 1908. Over a period of time ... Switching Theory and \u003cb\u003eLogic\u003c/b\u003e \u003cbr\u003e\n\u003cb\u003eDesign\u003c/b\u003e (3) Boolean algebra and its application to networks with bivalued signals. \u003cbr\u003e\nFunction ...

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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.

This Book was ranked 15 by Google Books for keyword Contemporary Logic Design on electrical engineering.

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