Andrew Arana: Elements of Purity

Cover: 9781009055895 | Elements of Purity | Andrew Arana | Taschenbuch | Englisch | 2024

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Sprache: Englisch

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Beschreibung

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.

Inhaltsverzeichnis

1. Purity in practice; 2. A brief history of purity; 3. Types of purity; 4. Values of purity; 5. Conclusions; References.

Details

Erscheinungsjahr:	2024
Fachbereich:	Allgemeines
Genre:	Importe , Philosophie
Jahrhundert:	Antike
Rubrik:	Geisteswissenschaften
Thema:	Lexika
Medium:	Taschenbuch
ISBN-13:	9781009055895
ISBN-10:	1009055895
Sprache:	Englisch
Einband:	Kartoniert / Broschiert
Autor:	Arana, Andrew
Hersteller:	Cambridge University Press
Verantwortliche Person für die EU:	Libri GmbH, Europaallee 1, D-36244 Bad Hersfeld, gpsr@libri.de
Maße:	229 x 152 x 5 mm
Von/Mit:	Andrew Arana
Erscheinungsdatum:	09.12.2024
Gewicht:	0,139 kg