1. Edition - November 2009
81.90 Euro
2009. 256 Pages, Hardcover
ISBN-10: 1-4051-9766-8
ISBN-13: 978-1-4051-9766-3 - John Wiley & Sons






Sample Chapter

Short description
There's Something About Gödel is a lucid and accessible guide to Gödel's revolutionary Incompleteness Theorem, considered one of the most astounding argumentative sequences in the history of human thought. It is also an exploration of the most controversial alleged philosophical outcomes of the Theorem. Divided into two parts, the first section introduces the Incompleteness Theorem, while the second half, The World After Gödel, considers some of the most famous claims arising from Gödel's theorem in the areas of the philosophy of mathematics, metaphysics, and the philosophy of mind.

From the contents
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