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Dirk W. Hoffmann
Grenzen der Mathematik [PDF ebook]
Eine Reise durch die Kerngebiete der mathematischen Logik

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Ist die Mathematik frei von Widersprüchen? Gibt es Wahrheiten jenseits des Beweisbaren? Ist es möglich, unser mathematisches Wissen in eine einzige Zahl hineinzucodieren?

Die moderne mathematische Logik des zwanzigsten Jahrhunderts gibt verblüffende Antworten auf solche Fragen.

Das vorliegende Buch entführt Sie auf eine Reise durch die Kerngebiete der mathematischen Logik, hin zu den Grenzen der Mathematik. Unter anderem werden die folgenden Themen behandelt: Geschichte der mathematischen Logik, formale Systeme, axiomatische Zahlentheorie und Mengenlehre, Beweistheorie, die Gödel‘schen Unvollständigkeitssätze, Berechenbarkeitstheorie, algorithmische Informationstheorie, Modelltheorie.

Das Buch enthält zahlreiche zweifarbige Abbildungen und mehr als 70 Aufgaben (mit Lösungen auf der Website zum Buch).

Für die dritte Auflage wurde das Kapitel ‚Modelltheorie‘ um eine Beschreibung der von Paul Cohen entwickelten Forcing-Technik ergänzt.

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Bahasa Jerman ● Format PDF ● ISBN 9783662566176 ● Penerbit Springer Berlin Heidelberg ● Diterbitkan 2018 ● Muat turun 3 kali ● Mata wang EUR ● ID 6648386 ● Salin perlindungan Adobe DRM

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