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By Parallel ReasoningThe Construction and Evaluation of Analogical Arguments$
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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

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Analogies in Mathematics

Analogies in Mathematics

(p.151) 5 Analogies in Mathematics
By Parallel Reasoning

Paul F. A. Bartha (Contributor Webpage)

Oxford University Press

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

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