Jump to ContentJump to Main Navigation
The Logician and the EngineerHow George Boole and Claude Shannon Created the Information Age$
Users without a subscription are not able to see the full content.

Paul J. Nahin

Print publication date: 2017

Print ISBN-13: 9780691176000

Published to Princeton Scholarship Online: May 2018

DOI: 10.23943/princeton/9780691176000.001.0001

Show Summary Details
Page of

PRINTED FROM PRINCETON SCHOLARSHIP ONLINE (www.princeton.universitypressscholarship.com). (c) Copyright Princeton University Press, 2022. All Rights Reserved. An individual user may print out a PDF of a single chapter of a monograph in PRSO for personal use.date: 28 June 2022

Boole, Shannon, and Probability

Boole, Shannon, and Probability

(p.88) 6 Boole, Shannon, and Probability
The Logician and the Engineer

Paul J. Nahin

Princeton University Press

George Boole and Claude Shannon shared a deep interest in the mathematics of probability. Boole's interest was, of course, not related to the theory of computation—he was a century too early for that—while Shannon's mathematical theory of communication and information processing is replete with probabilistic analyses. There is, nevertheless, an important intersection between what the two men did, which is shown in this chapter. The aim is to provide a flavor of how they reasoned and of the sort of probabilistic problem that caught their attention. Once we have finished with Boole's problem, the reader will see that it uses mathematics that will play a crucial role in answering Shannon's concern about “crummy” relays.

Keywords:   Claude Shannon, George Boole, Boolean algebra, relays, conditional probability, mathematics

Princeton Scholarship Online requires a subscription or purchase to access the full text of books within the service. Public users can however freely search the site and view the abstracts and keywords for each book and chapter.

Please, subscribe or login to access full text content.

If you think you should have access to this title, please contact your librarian.

To troubleshoot, please check our FAQs , and if you can't find the answer there, please contact us.