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Remarks on Simple Proofs

  • Rosalie Iemhoff
Chapter
Part of the Mathematics, Culture, and the Arts book series (MACUAR)

Abstract

This note consists of a collection of observations on the notion of simplicity in the setting of proofs. It discusses its properties under formalization and its relation to the length of proofs, showing that in certain settings simplicity and brevity exclude each other. It is argued that when simplicity is interpreted as purity of method, different foundational standpoints may affect which proofs are considered to be simple and which are not.

Notes

Acknowledgements

Support by the Netherlands Organization for Scientific Research under grant 639.032.918 is gratefully acknowledged. I thank an anonymous referee for useful remarks on an earlier draft of this paper.

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Copyright information

© Springer International Publishing AG 2017

Authors and Affiliations

  1. 1.Department of PhilosophyUtrecht UniversityUtrechtThe Netherlands

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