Goedel's Theorem

An Incomplete Guide to Its Use and Abuse
1. Auflage 2017
ISBN: 978-1-138-42726-6
Verlag: Taylor & Francis Ltd

Buch, Englisch, 182 Seiten, Format (B × H): 152 mm x 229 mm, Gewicht: 454 g

"Among the many expositions of Gödel's incompleteness theorems written for non-specialists, this book stands apart. With exceptional clarity, Franzén gives careful, non-technical explanations both of what those theorems say and, more importantly, what they do not. No other book aims, as his does, to address in detail the misunderstandings and abuses of the incompleteness theorems that are so rife in popular discussions of their significance. As an antidote to the many spurious appeals to incompleteness in theological, anti-mechanist and post-modernist debates, it is a valuable addition to the literature." --- John W. Dawson, author of Logical Dilemmas: The Life and Work of Kurt Gödel

Autoren/Hrsg.

Franzen , Torkel

Franzén, Torkel

Fachgebiete

• Mathematik | Informatik Mathematik Mathematik Allgemein Populäre Darstellungen der Mathematik
• Mathematik | Informatik Mathematik Mathematik Allgemein Mengenlehre

Inhaltsverzeichnis

Preface, 1. Introduction, 2. The Incompleteness Theorem: An Overview, 3. Computability, Formal Systems, and Incompleteness, 4. Incompleteness Everywhere, 5. Skepticism and Confidence, 6. Gödel, Minds, and Computers, 7. Gödel’s Completeness Theorem, 8. Incompleteness, Complexity, and Infinity, Appendix, References, Index

Über Autor(innen)

Torkel Franzén