Gödel's Theorem

An Incomplete Guide to Its Use and Abuse
1. Auflage 2005
ISBN: 978-1-56881-238-0
Verlag: CRC Press

Buch, Englisch, 182 Seiten, Format (B × H): 151 mm x 228 mm, Gewicht: 274 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.

Franzén, Torkel

Fachgebiete

• Interdisziplinäres Wissenschaften Wissenschaften: Allgemeines Wissenschaften: Theorie, Epistemologie, Methodik
• Mathematik | Informatik Mathematik Mathematik Allgemein Mathematische Logik
• Mathematik | Informatik Mathematik Mathematik Allgemein Grundlagen der Mathematik
• Geisteswissenschaften Philosophie Wissenschaftstheorie, Wissenschaftsphilosophie

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