Elements of Purity by Arana, Andrew
Elements of Purity by Arana, Andrew

Elements of Purity

A proof of a theorem can be said to be pure if it draws only on what...
$80.69 AUD
$80.69 AUD
SKU: 9781009055895
Product Type: Books
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Author: Andrew Arana
Format: Paperback
Language: English
Subtotal: $80.69
Elements of Purity by Arana, Andrew

Elements of Purity

$80.69
Elements of Purity by Arana, Andrew

Elements of Purity

$80.69
Author: Andrew Arana
Format: Paperback
Language: English
Description
A proof of a theorem can be said to be pure if it draws only on what is 'close' or 'intrinsic' to that theorem. In this Element we will investigate the apparent preference for pure proofs that has persisted in mathematics since antiquity, alongside a competing preference for impurity. In Section 1, we present two examples of purity, from geometry and number theory. In Section 2, we give a brief history of purity in mathematics. In Section 3, we discuss several different types of purity, based on different measures of distance between theorem and proof. In Section 4 we discuss reasons for preferring pure proofs, for the varieties of purity constraints presented in Section 3. In Section 5 we conclude by reflecting briefly on purity as a preference for the local and how issues of translation intersect with the considerations we have raised throughout this work.

Author: Andrew Arana
Publisher: Cambridge University Press
Published: 01/16/2025
Pages: 84
Binding Type: Paperback
Weight: 0.28lbs
Size: 9.00h x 6.00w x 0.18d
ISBN: 9781009055895
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