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Similarity and Patterns of Generalization

Paul F. A. Bartha

in By Parallel Reasoning: The Construction and Evaluation of Analogical Arguments

Published in print:
2010
Published Online:
May 2010
ISBN:
9780195325539
eISBN:
9780199776313
Item type:
chapter
Publisher:
Oxford University Press
DOI:
10.1093/acprof:oso/9780195325539.003.0006
Subject:
Philosophy, Logic/Philosophy of Mathematics

This chapter develops the thesis that the goal of an analogical argument is to generalize a particular logical, causal or explanatory relationship. Three separate types of similarity prominent in ... More


Recent Attempts at Blunting the Indispensability Thesis

Michael D. Resnik

in Mathematics as a Science of Patterns

Published in print:
1999
Published Online:
November 2003
ISBN:
9780198250142
eISBN:
9780191598296
Item type:
chapter
Publisher:
Oxford University Press
DOI:
10.1093/0198250142.003.0004
Subject:
Philosophy, Logic/Philosophy of Mathematics

The indispensability thesis maintains both that using mathematical terms and assertions is an indispensable part of scientific practice and that this practice commits science to mathematical objects ... More


Peacock’s Impact

Menachem Fisch

in Creatively Undecided: Toward a History and Philosophy of Scientific Agency

Published in print:
2017
Published Online:
May 2018
ISBN:
9780226514482
eISBN:
9780226514659
Item type:
chapter
Publisher:
University of Chicago Press
DOI:
10.7208/chicago/9780226514659.003.0009
Subject:
Philosophy, Philosophy of Science

The chapter describes how four major figures responded to the Treatise: Augustus DeMorgan, William Rowan Hamilton, the young and short-lived D. F. Gregory, and Peacock's Trinity colleague, William ... More


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