Skip to main content
SpringerLink
Log in

Augustus De Morgan and the Logic of Relations

  • Book
  • © 1990

Overview

Authors:
  1. Daniel D. Merrill

    1. Department of Philosophy, Oberlin College, USA

    View author publications

    You can also search for this author in PubMed   Google Scholar

Part of the book series: The New Synthese Historical Library (SYNL, volume 38)

This is a preview of subscription content, log in via an institution to check access.

Access this book

Log in via an institution
eBook USD 129.00
Price excludes VAT (USA)
  • Available as EPUB and PDF
  • Read on any device
  • Instant download
  • Own it forever
Softcover Book USD 169.99
Price excludes VAT (USA)
  • Compact, lightweight edition
  • Dispatched in 3 to 5 business days
  • Free shipping worldwide - see info
Hardcover Book USD 169.99
Price excludes VAT (USA)
  • Durable hardcover edition
  • Dispatched in 3 to 5 business days
  • Free shipping worldwide - see info

Tax calculation will be finalised at checkout

Other ways to access

Licence this eBook for your library

Institutional subscriptions

Table of contents (8 chapters)

  1. Front Matter

    Pages i-xi
    Download chapter PDF

  2. The Traditional Syllogism

    • Daniel D. Merrill
    Pages 1-25

  3. First Thoughts on the Copula

    • Daniel D. Merrill
    Pages 26-47

  4. Generalizing the Copula

    • Daniel D. Merrill
    Pages 48-88

  5. The Problem of Form and Matter

    • Daniel D. Merrill
    Pages 89-112

  6. The Logic of Relations

    • Daniel D. Merrill
    Pages 113-148

  7. The Logic of Relations and the Theory of the Syllogism

    • Daniel D. Merrill
    Pages 149-169

  8. Logic and Mathematics

    • Daniel D. Merrill
    Pages 170-195

  9. A Rigorous Formulation

    • Daniel D. Merrill
    Pages 196-244

  10. Back Matter

    Pages 245-262
    Download chapter PDF
Back to top

Keywords

About this book

The middle years of the nineteenth century saw two crucial develop­ ments in the history of modern logic: George Boole's algebraic treat­ ment of logic and Augustus De Morgan's formulation of the logic of relations. The former episode has been studied extensively; the latter, hardly at all. This is a pity, for the most central feature of modern logic may well be its ability to handle relational inferences. De Morgan was the first person to work out an extensive logic of relations, and the purpose of this book is to study this attempt in detail. Augustus De Morgan (1806-1871) was a British mathematician and logician who was Professor of Mathematics at the University of London (now, University College) from 1828 to 1866. A prolific but not highly original mathematician, De Morgan devoted much of his energies to the rather different field of logic. In his Formal Logic (1847) and a series of papers "On the Syllogism" (1846-1862), he attempted with great ingenuity to reformulate and extend the tradi­ tional syllogism and to systematize modes of reasoning that lie outside its boundaries. Chief among these is the logic of relations. De Mor­ gan's interest in relations culminated in his important memoir, "On the Syllogism: IV and on the Logic of Relations," read in 1860.

Authors and Affiliations

  • Department of Philosophy, Oberlin College, USA

    Daniel D. Merrill

Bibliographic Information

  • Book Title: Augustus De Morgan and the Logic of Relations

  • Authors: Daniel D. Merrill

  • Series Title: The New Synthese Historical Library

  • DOI: https://doi.org/10.1007/978-94-009-2047-7

  • Publisher: Springer Dordrecht

  • eBook Packages: Springer Book Archive

  • Copyright Information: Kluwer Academic Publishers 1990

  • Hardcover ISBN: 978-0-7923-0758-7Published: 30 November 1990

  • Softcover ISBN: 978-94-010-7418-6Published: 05 October 2011

  • eBook ISBN: 978-94-009-2047-7Published: 06 December 2012

  • Series ISSN: 1879-8578

  • Series E-ISSN: 2352-2585

  • Edition Number: 1

  • Number of Pages: XII, 262

  • Topics: Modern Philosophy, History of Mathematical Sciences, Logic

Publish with us

Policies and ethics

Back to top

Search

Navigation