There's Something About Gödel

The Complete Guide to the Incompleteness Theorem
1. Auflage 2009
ISBN: 978-1-4051-9767-0
Verlag: Wiley

Buch, Englisch, 256 Seiten, Format (B × H): 150 mm x 229 mm, Gewicht: 408 g

Berto's highly readable and lucid guide introduces students and the interested reader to Gödel's celebrated Incompleteness Theorem, and discusses some of the most famous - and infamous - claims arising from Gödel's arguments.
- Offers a clear understanding of this difficult subject by presenting each of the key steps of the Theorem in separate chapters
- Discusses interpretations of the Theorem made by celebrated contemporary thinkers
- Sheds light on the wider extra-mathematical and philosophical implications of Gödel's theories
- Written in an accessible, non-technical style

Autoren/Hrsg.

Berto, Francesco

Fachgebiete

• Mathematik | Informatik Mathematik Mathematik Allgemein Mathematische Logik
• Geisteswissenschaften Philosophie Philosophie der Mathematik, Philosophie der Physik
• Mathematik | Informatik Mathematik Mathematik Allgemein Philosophie der Mathematik

Inhaltsverzeichnis

Prologue

Acknowledgments

Part I: The Gödelian Symphony:

1. Foundations and Paradoxes

2. Hilbert

3. Gödelization, or Say It with Numbers!

4. Bits of Recursive Arithmetic.

5. And How It Is Represented in Typographical Number Theory

6. "I Am Not Provable"

7. The Unprovability of Consistency and the "Immediate Consequences" of G1 and G2

Part II: The World after Gödel:

8. Bourgeois Mathematicians! The Postmodern Interpretations

9. A Footnote to Plato

10. Mathematical Faith

11. Mind versus Computer: Gödel and Artificial Intelligence

12. Gödel versus Wittgenstein and the Paraconsistent Interpretation

Epilogue

References

Index

Über Autor(innen)

Francesco Berto teaches logic, ontology, and philosophy of mathematics at the universities of Aberdeen in Scotland, and Venice and Milan-San Raffaele in Italy. He holds a Chaire d'Excellence fellowship at CNRS in Paris, where he has taught ontology at the École Normale Supérieure, and he is a visiting professor at the Institut Wiener Kreis of the University of Vienna. He has written papers for American Philosophical Quarterly, Dialectica, The Philosophical Quarterly, the Australasian Journal of Philosophy, the European Journal of Philosophy, Philosophia Mathematica, Logique et Analyse, and Metaphysica, and runs the entries “Dialetheism” and “Impossible Worlds” in the Stanford Encyclopedia of Philosophy. His book How to Sell a Contradiction has won the 2007 Castiglioncello prize for the best philosophical book by a young philosopher.