Jump to ContentJump to Main Navigation
The Great Formal Machinery WorksTheories of Deduction and Computation at the Origins of the Digital Age$
Users without a subscription are not able to see the full content.

Jan von Plato

Print publication date: 2017

Print ISBN-13: 9780691174174

Published to Princeton Scholarship Online: May 2018

DOI: 10.23943/princeton/9780691174174.001.0001

Show Summary Details
Page of

PRINTED FROM PRINCETON SCHOLARSHIP ONLINE (www.princeton.universitypressscholarship.com). (c) Copyright Princeton University Press, 2021. All Rights Reserved. An individual user may print out a PDF of a single chapter of a monograph in PRSO for personal use.date: 02 December 2021

The Algebraic Tradition of Logic

The Algebraic Tradition of Logic

Chapter:
(p.81) 3 The Algebraic Tradition of Logic
Source:
The Great Formal Machinery Works
Author(s):

Jan von Plato

Publisher:
Princeton University Press
DOI:10.23943/princeton/9780691174174.003.0004

This chapter explores how algebraic logic began in 1847 when George Boole presented his “calculus of deductive reasoning” in a short book titled The Mathematical Analysis of Logic. His calculus reduced known ways of logical reasoning into the solution of algebraic equations. The known ways of logical reasoning were not just accounted for but were extended to full classical propositional logic. Boole reduced Aristotelian syllogistic reasoning to calculation, which was a wonderful achievement. Encouraged by the success, he wrote a book with the bold title An Investigation of the Laws of Thought (1854). However, his logic was not able to treat relations but just one-place predicates.

Keywords:   algebraic logic, George Boole, calculus, deductive reasoning, algebraic equations, one-place predicates

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.