Analysis 69 (2):203-211 (2009)

Authors
Marc Lange
University of North Carolina, Chapel Hill
Abstract
Philosophers who regard some mathematical proofs as explaining why theorems hold, and others as merely proving that they do hold, disagree sharply about the explanatory value of proofs by mathematical induction. I offer an argument that aims to resolve this conflict of intuitions without making any controversial presuppositions about what mathematical explanations would be
Keywords No keywords specified (fix it)
Categories (categorize this paper)
DOI 10.1093/analys/anp002
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: 69,160
Through your library

References found in this work BETA

Mathematical Explanation.Mark Steiner - 1978 - Philosophical Studies 34 (2):135 - 151.
Explanation, Independence and Realism in Mathematics.Michael D. Resnik & David Kushner - 1987 - British Journal for the Philosophy of Science 38 (2):141-158.
Proofs and Pictures.James Robert Brown - 1997 - British Journal for the Philosophy of Science 48 (2):161-180.

View all 8 references / Add more references

Citations of this work BETA

Mathematical Explanations Of Empirical Facts, And Mathematical Realism.Aidan Lyon - 2012 - Australasian Journal of Philosophy 90 (3):559-578.
Viewing-as Explanations and Ontic Dependence.William D’Alessandro - 2020 - Philosophical Studies 177 (3):769-792.
Time Enough for Explanation.Sam Baron & Mark Colyvan - 2016 - Journal of Philosophy 113 (2):61-88.

View all 22 citations / Add more citations

Similar books and articles

Why Do Mathematicians Re-Prove Theorems?John W. Dawson Jr - 2006 - Philosophia Mathematica 14 (3):269-286.
The Surveyability of Long Proofs.Edwin Coleman - 2009 - Foundations of Science 14 (1-2):27-43.
Probabilistic Proofs and Transferability.Kenny Easwaran - 2009 - Philosophia Mathematica 17 (3):341-362.
The Role of Diagrams in Mathematical Arguments.David Sherry - 2008 - Foundations of Science 14 (1-2):59-74.
Mathematical Explanation and the Theory of Why-Questions.David Sandborg - 1998 - British Journal for the Philosophy of Science 49 (4):603-624.
Understanding, Formal Verification, and the Philosophy of Mathematics.Jeremy Avigad - 2010 - Journal of the Indian Council of Philosophical Research 27:161-197.

Analytics

Added to PP index
2009-04-11

Total views
131 ( #88,103 of 2,499,433 )

Recent downloads (6 months)
6 ( #118,163 of 2,499,433 )

How can I increase my downloads?

Downloads

My notes