Gödel's Theorem: An Incomplete Guide to Its Use and Abuse

ISBN-13: 9781568812380 / Angielski / Miękka / 2005 / 182 str.

Torkel Franzen

Opis

"Among the many expositions of Godel's incompleteness theorems written for non-specialists, this book stands apart. With exceptional clarity, Franzen 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 Godel"

Spis treści

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

O autorze

Torkel Franzén