Jump to ContentJump to Main Navigation
By Parallel ReasoningThe Construction and Evaluation of Analogical Arguments$
Users without a subscription are not able to see the full content.

Paul Bartha

Print publication date: 2010

Print ISBN-13: 9780195325539

Published to Oxford Scholarship Online: May 2010

DOI: 10.1093/acprof:oso/9780195325539.001.0001

Show Summary Details
Page of

PRINTED FROM OXFORD SCHOLARSHIP ONLINE (www.oxfordscholarship.com). (c) Copyright Oxford University Press, 2019. All Rights Reserved. An individual user may print out a PDF of a single chapter of a monograph in OSO for personal use. date: 21 November 2019

Analogies in Mathematics

Analogies in Mathematics

Chapter:
(p.151) 5 Analogies in Mathematics
Source:
By Parallel Reasoning
Author(s):

Paul F. A. Bartha (Contributor Webpage)

Publisher:
Oxford University Press
DOI:10.1093/acprof:oso/9780195325539.003.0005

This chapter is devoted to the special class of mathematical analogies. Following Poincaré, it is argued that analogical arguments in mathematics provide clear support for a link between good analogies and fruitful generalization. At the same time, a consideration of mathematical examples serves to refine and deepen the theory of chapter 4. Specifically, the chapter addresses the role of similarity in mathematical analogies, the philosophical basis of analogical arguments, and the use of analogy in extended mathematical research programs.

Keywords:   generalization, mathematical analogy, Poincare, research programs, similarity

Oxford 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 .