Lectures on the Philosophy of Mathematics

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Sprache: Englisch

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Beschreibung

An introduction to the philosophy of mathematics grounded in mathematics and motivated by mathematical inquiry and practice.

In this book, Joel David Hamkins offers an introduction to the philosophy of mathematics that is grounded in mathematics and motivated by mathematical inquiry and practice. He treats philosophical issues as they arise organically in mathematics, discussing such topics as platonism, realism, logicism, structuralism, formalism, infinity, and intuitionism in mathematical contexts. He organizes the book by mathematical themes--numbers, rigor, geometry, proof, computability, incompleteness, and set theory--that give rise again and again to philosophical considerations.

Über den Autor

Joel David Hamkins

Inhaltsverzeichnis

Preface xvii
About the Author xix
1 Numbers 1
2 Rigor 53
3 Infinity 87
4 Geometry 119
5 Proof 157
6 Computability 193
7 Incompleteness 225
8 Set Theory 225
Bibliography 303
Notation Index 315
Subject Index 319

Erscheinungsjahr:	2022
Genre:	Importe , Mathematik
Rubrik:	Naturwissenschaften & Technik
Medium:	Taschenbuch
Inhalt:	Einband - flex.(Paperback)
ISBN-13:	9780262542234
ISBN-10:	0262542234
Sprache:	Englisch
Einband:	Kartoniert / Broschiert
Autor:	Hamkins, Joel David
Hersteller:	MIT Press Ltd
Verantwortliche Person für die EU:	Libri GmbH, Europaallee 1, D-36244 Bad Hersfeld, gpsr@libri.de
Maße:	222 x 177 x 22 mm
Von/Mit:	Joel David Hamkins
Erscheinungsdatum:	04.01.2022
Gewicht:	0,658 kg