Kurt Gödel: Essays for his Centennial
by Edited by Solomon Feferman , Charles Parsons , Stephen G. SimpsonFormat: Hardcover
Pub. Date: 2010-04-19
Publisher(s): Cambridge University Press
Other versions by this Author
List Price: $160.00
Buy New
Usually Ships in 8 - 10 Business Days.
$159.84
Rent Textbook
Select for Price
Used Textbook
We're Sorry
Sold Out
eTextbook
We're Sorry
Not Available
How Marketplace Works:
- This item is offered by an independent seller and not shipped from our warehouse
- Item details like edition and cover design may differ from our description; see seller's comments before ordering.
- Sellers much confirm and ship within two business days; otherwise, the order will be cancelled and refunded.
- Marketplace purchases cannot be returned to eCampus.com. Contact the seller directly for inquiries; if no response within two days, contact customer service.
- Additional shipping costs apply to Marketplace purchases. Review shipping costs at checkout.
Summary
Kurt Gouml;del (19061978) did groundbreaking work that transformed logic and other important aspects of our understanding of mathematics, especially his proof of the incompleteness of formalized arithmetic. This book on different aspects of his work and on subjects in which his ideas have contemporary resonance includes papers from a May 2006 symposium celebrating Gouml;del's centennial as well as papers from a 2004 symposium. Proof theory, set theory, philosophy of mathematics, and the editing of Gouml;del's writings are among the topics covered. Several chapters discuss his intellectual development and his relation to predecessors and contemporaries such as Hilbert, Carnap, and Herbrand. Others consider his views on justification in set theory in light of more recent work and contemporary echoes of his incompleteness theorems and the concept of constructible sets.
Table of Contents
| General: | |
| The Gödel editorial project: a synopsis | |
| Future tasks for Gödel scholars | |
| Proof Theory: | |
| Kurt Gödel and the metamathematical tradition | |
| Only two letters: the correspondence between Herbrand and Gödel | |
| Gödel's reformulation of Gentzen's first consistency proof for arithmetic: the no-counter-example interpretation | |
| Gödel on intuition and on Hilbert's finitism | |
| The Gödel hierarchy and reverse mathematics | |
| On the outside looking in: a caution about conservativeness | |
| Set Theory: | |
| Gödel and set theory | |
| Generalizations of Gödel's universe of constructible sets | |
| On the question of absolute undecidability | |
| Philosophy of Mathematics: | |
| What did Gödel believe and when did he believe it? | |
| On Gödel's way in: the influence of Rudolf Carnap | |
| Gödel and Carnap Steve Awodey | |
| On the philosophical development of Kurt | |
| Platonism and mathematical intuition in Kurt Gödel's thought | |
| Gödel's conceptual realism | |
| Table of Contents provided by Publisher. All Rights Reserved. |
An electronic version of this book is available through VitalSource.
This book is viewable on PC, Mac, iPhone, iPad, iPod Touch, and most smartphones.
By purchasing, you will be able to view this book online, as well as download it, for the chosen number of days.
Digital License
You are licensing a digital product for a set duration. Durations are set forth in the product description, with "Lifetime" typically meaning five (5) years of online access and permanent download to a supported device. All licenses are non-transferable.
More details can be found here.
A downloadable version of this book is available through the eCampus Reader or compatible Adobe readers.
Applications are available on iOS, Android, PC, Mac, and Windows Mobile platforms.
Please view the compatibility matrix prior to purchase.