Skip to main content Accessibility help
×
Home
Hostname: page-component-55597f9d44-pgkvd Total loading time: 0.481 Render date: 2022-08-07T16:34:21.227Z Has data issue: true Feature Flags: { "shouldUseShareProductTool": true, "shouldUseHypothesis": true, "isUnsiloEnabled": true, "useRatesEcommerce": false, "useNewApi": true } hasContentIssue true

Foreword

Published online by Cambridge University Press:  07 September 2011

Gaisi Takeuti
Affiliation:
University of Illinois
Matthias Baaz
Affiliation:
Technische Universität Wien, Austria
Christos H. Papadimitriou
Affiliation:
University of California, Berkeley
Hilary W. Putnam
Affiliation:
Harvard University, Massachusetts
Dana S. Scott
Affiliation:
Carnegie Mellon University, Pennsylvania
Charles L. Harper, Jr
Affiliation:
Vision-Five.com Consulting, United States
Get access

Summary

While I was writing some words to say about Professor Kurt Gödel's major works for his 2006 centenary celebration at the University of Vienna, it suddenly came to me that for everyone who gathered in his honor, Gödel's extraordinary contributions to and tremendous influence on mathematics would be something of which we were already deeply aware. Thinking that perhaps a repeat of Gödel's results would be unnecessary with this group, I decided to share some of my own personal memories that are recalled when I remember Professor Gödel.

I met Gödel for the first time at the Institute for Advanced Study in Princeton in January 1959, when he was fifty-two years old. At the time, I was a very young thirty-two-year-old whose only interest was my own problem within logic; I knew little of logic as a whole. Throughout my first stay in Princeton, Gödel taught me many new ideas, specifically about nonstandard models and large cardinals. On certain occasions, he would lead me to the library and show me the precise page of a book on which a pertinent theorem was presented, and he advised me on which books I should be reading. He even counseled me that I needed to improve my English to communicate with other mathematicians.

Gödel showed a keen interest in the problem on which I was working then: my fundamental conjecture, that is, the cut elimination theorem on the generalized logic calculus, which is the higher type extension of Gentzen's logistischer klassischer Kalkül sequent calculus, as introduced in 1934.

Type
Chapter
Information
Kurt Gödel and the Foundations of Mathematics
Horizons of Truth
, pp. xiii - xiv
Publisher: Cambridge University Press
Print publication year: 2011

Access options

Get access to the full version of this content by using one of the access options below. (Log in options will check for institutional or personal access. Content may require purchase if you do not have access.)

Save book to Kindle

To save this book to your Kindle, first ensure coreplatform@cambridge.org is added to your Approved Personal Document E-mail List under your Personal Document Settings on the Manage Your Content and Devices page of your Amazon account. Then enter the ‘name’ part of your Kindle email address below. Find out more about saving to your Kindle.

Note you can select to save to either the @free.kindle.com or @kindle.com variations. ‘@free.kindle.com’ emails are free but can only be saved to your device when it is connected to wi-fi. ‘@kindle.com’ emails can be delivered even when you are not connected to wi-fi, but note that service fees apply.

Find out more about the Kindle Personal Document Service.

Available formats
×

Save book to Dropbox

To save content items to your account, please confirm that you agree to abide by our usage policies. If this is the first time you use this feature, you will be asked to authorise Cambridge Core to connect with your account. Find out more about saving content to Dropbox.

Available formats
×

Save book to Google Drive

To save content items to your account, please confirm that you agree to abide by our usage policies. If this is the first time you use this feature, you will be asked to authorise Cambridge Core to connect with your account. Find out more about saving content to Google Drive.

Available formats
×