Remarks on simple proofs

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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.
Original languageEnglish
Title of host publicationSimplicity: Ideals of Practice in Mathematics and the Arts
EditorsRoman Kossak, Philip Ording
PublisherSpringer
Pages143-151
ISBN (Electronic)978-3-319-53385-8
ISBN (Print)978-3-319-53383-4
DOIs
Publication statusPublished - 2017

Publication series

NameMathematics, Culture, and the Arts
ISSN (Print)2520-8578

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