Synthese 190 (3):509-524 (2013)

Authors
Benjamin Schnieder
Universität Hamburg
Abstract
Philosophers of mathematics commonly distinguish between explanatory and non-explanatory proofs. An important subclass of mathematical proofs are proofs by induction. Are they explanatory? This paper addresses the question, based on general principles about explanation. First, a recent argument for a negative answer is discussed and rebutted. Second, a case is made for a qualified positive take on the issue.
Keywords Mathematical induction  Mathematical explanation  Logic of explanation  Grounding
Categories (categorize this paper)
ISBN(s)
DOI 10.1007/s11229-011-0045-z
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: 51,707
Through your library

References found in this work BETA

Guide to Ground.Kit Fine - 2012 - In Fabrice Correia & Benjamin Schnieder (eds.), Metaphysical Grounding. Cambridge University Press. pp. 37--80.
The Question of Realism.Kit Fine - 2001 - Philosophers' Imprint 1:1-30.
A World of States of Affairs.D. M. Armstrong - 1993 - Philosophical Perspectives 7:429-440.
What is a Law of Nature?D. M. Armstrong - 1983 - Cambridge University Press.
Grounding and Truth-Functions.Fabrice Correia - 2010 - Logique Et Analyse 53 (211):251-279.

View all 23 references / Add more references

Citations of this work BETA

Explanation impossible.Sam Baron & Mark Colyvan - forthcoming - Philosophical Studies:1-18.
Grounding and the Explanatory Role of Generalizations.Stefan Roski - 2018 - Philosophical Studies 175 (8):1985-2003.
Explanatory Circles, Induction, and Recursive Structures.Tomasz Wysocki - 2017 - Thought: A Journal of Philosophy 6 (1):13-16.

Add more citations

Similar books and articles

Against Mathematical Explanation.Mark Zelcer - 2013 - Journal for General Philosophy of Science / Zeitschrift für Allgemeine Wissenschaftstheorie 44 (1):173-192.
.[author unknown] - unknown
Mathematical Explanation in Science.Alan Baker - 2009 - British Journal for the Philosophy of Science 60 (3):611-633.
Induction and Inference to the Best Explanation.Ruth Weintraub - 2013 - Philosophical Studies 166 (1):203-216.
What Are Mathematical Coincidences ?M. Lange - 2010 - Mind 119 (474):307-340.
Mathematical Explanation and the Theory of Why-Questions.David Sandborg - 1998 - British Journal for the Philosophy of Science 49 (4):603-624.
Mathematical Explanations Of Empirical Facts, And Mathematical Realism.Aidan Lyon - 2012 - Australasian Journal of Philosophy 90 (3):559-578.
Mathematical Induction and Explanation.Alan Baker - 2010 - Analysis 70 (4):681-689.
Proclus' Account of Explanatory Demonstrations in Mathematics and its Context.Orna Harari - 2008 - Archiv für Geschichte der Philosophie 90 (2):137-164.

Analytics

Added to PP index
2012-03-01

Total views
149 ( #58,877 of 2,333,191 )

Recent downloads (6 months)
7 ( #98,991 of 2,333,191 )

How can I increase my downloads?

Downloads

My notes