Since their discovery, the incompleteness theorems have attracted much attention, and a flood of articles and books have been devoted to their striking consequences. For good reasons, however, hardly any work deals with Gödel's article in its original form: His complex lines of thought described with meticulous precision, the many definitions and theorems, and the now largely outdated notation turn Gödel's historical masterpiece into a difficult read.
This book explores Gödel's original proof in detail. All individual steps are carefully explained and illustrated with numerous examples. However, this book is more than just an annotated version of the historical article, as the proper understanding of Gödel's work requires a solid grasp of history. Thus, numerous excursions take the reader back to the beginning of the twentieth century. It was the time when mathematics experienced one of its greatest crises, when type theory and axiomatic set theory were taking shape, and Hilbert's formalistic logic and Brouwer's intuitionistic mathematics were openly confronting each other.
This book is the revised translation of the second edition of the author's German language book "Die Gödel'schen Unvollständigkeitssätze".
Since their discovery, the incompleteness theorems have attracted much attention, and a flood of articles and books have been devoted to their striking consequences. For good reasons, however, hardly any work deals with Gödel's article in its original form: His complex lines of thought described with meticulous precision, the many definitions and theorems, and the now largely outdated notation turn Gödel's historical masterpiece into a difficult read.
This book explores Gödel's original proof in detail. All individual steps are carefully explained and illustrated with numerous examples. However, this book is more than just an annotated version of the historical article, as the proper understanding of Gödel's work requires a solid grasp of history. Thus, numerous excursions take the reader back to the beginning of the twentieth century. It was the time when mathematics experienced one of its greatest crises, when type theory and axiomatic set theory were taking shape, and Hilbert's formalistic logic and Brouwer's intuitionistic mathematics were openly confronting each other.
This book is the revised translation of the second edition of the author's German language book "Die Gödel'schen Unvollständigkeitssätze".
G�del's Incompleteness Theorems: A Guided Tour Through Kurt G�del's Historic Proof
385
G�del's Incompleteness Theorems: A Guided Tour Through Kurt G�del's Historic Proof
385Paperback(2024)
Product Details
| ISBN-13: | 9783662695494 |
|---|---|
| Publisher: | Springer Berlin Heidelberg |
| Publication date: | 08/31/2024 |
| Edition description: | 2024 |
| Pages: | 385 |
| Product dimensions: | 6.10(w) x 9.25(h) x (d) |