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Mathematische Logik
Paperback
Series: Mathematik Kompakt
ISBN13: 9783319441795
Publisher: Birkhauser
Published: Oct 18 2016
Pages: 152
Weight: 0.60
Height: 0.35 Width: 6.69 Depth: 9.61
Language: German
Wie lä t sich formalisieren, was mit dem, was gemeinhin als Mathematik bezeichnet wird, ausdrückbar ist? Dieser fundamentalen Aufgabe widmet sich die mathematische Logik.
Dieses Buch führt in die verschiedenen Aspekte der mathematischen Logik ein. Es beginnt mit einer Darstellung des Prädikatenkalküls und seinen Anwendungen in der künstlichen Intelligenz. Daraufhin wird die Mengenlehre axiomatisch eingeführt. Nachfolgend werden auf Basis der Berechenbarkeitstheorie sowie der Hierarchie der in den natürlichen Zahlen definierbaren Teilmengen schlie lich die Gödelschen Unvollständigkeitssätze bewiesen.
Durch seinen klaren Stil ist dieses Buch eine konzise Einführung in diese Grundlagen der gesamten Mathematik.
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