Philosophy of Science 75 (2):178-200 (2008)

Authors
Dirk Schlimm
McGill University
Abstract
The structure-mapping theory has become the de-facto standard account of analogies in cognitive science and philosophy of science. In this paper I propose a distinction between two kinds of domains and I show how the account of analogies based on structure-preserving mappings fails in certain (object-rich) domains, which are very common in mathematics, and how the axiomatic approach to analogies, which is based on a common linguistic description of the analogs in terms of laws or axioms, can be used successfully to explicate analogies of this kind. Thus, the two accounts of analogies should be regarded as complementary, since each of them is adequate for explicating analogies that are drawn between different kinds of domains. In addition, I illustrate how the account of analogies based on axioms has also considerable practical advantages, e. g., for the discovery of new analogies.
Keywords Analogical reasoning  Mathematical reasoning
Categories (categorize this paper)
DOI 10.1086/590198
Options
Edit this record
Mark as duplicate
Export citation
Find it on Scholar
Request removal from index
Revision history

Download options

PhilArchive copy


Upload a copy of this paper     Check publisher's policy     Papers currently archived: 63,360
Through your library

References found in this work BETA

Metaphors We Live By.George Lakoff & Mark Johnson - 1980 - University of Chicago Press.
Models and Analogies in Science.Mary Hesse - 1963 - University of Notre Dame Press.

View all 32 references / Add more references

Citations of this work BETA

Axioms in Mathematical Practice.Dirk Schlimm - 2013 - Philosophia Mathematica 21 (1):37-92.
Reliability of Mathematical Inference.Jeremy Avigad - 2020 - Synthese 198 (8):7377-7399.

View all 7 citations / Add more citations

Similar books and articles

Analytics

Added to PP index
2009-01-28

Total views
82 ( #131,016 of 2,448,826 )

Recent downloads (6 months)
5 ( #141,898 of 2,448,826 )

How can I increase my downloads?

Downloads

My notes