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Explanatory Circles, Induction, and Recursive Structures
Thought: A Journal of Philosophy 6 (1):13-16 (2016)
Abstract
Lange offers an argument that, according to him, “does not show merely that some proofs by mathematical induction are not explanatory. It shows that none are […]”. The aim here is to present a counterexample to his argument.Author's Profile
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Citations of this work
Explanation in mathematics: Proofs and practice.William D'Alessandro - 2019 - Philosophy Compass 14 (11):e12629.
Teaching and Learning Guide for: Explanation in Mathematics: Proofs and Practice.William D'Alessandro - 2019 - Philosophy Compass 14 (11):e12629.
References found in this work
Why proofs by mathematical induction are generally not explanatory.Marc Lange - 2009 - Analysis 69 (2):203-211.
Explanation by induction?Miguel Hoeltje, Benjamin Schnieder & Alex Steinberg - 2013 - Synthese 190 (3):509-524.
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