Abstract

Explanation by Induction? (M. Hoeltje, B. Schnieder & A. Steinberg)

Synthese 190 (3), 509–524. The final publication is available at www.springerlink.com.

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.

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