COOKIES: By using this website you agree that we can place Google Analytics Cookies on your device for performance monitoring. |

University of Cambridge > Talks.cam > Isaac Newton Institute Seminar Series > Beyond the infinite: Rothschild Distinguished Visiting Professor Lecture

## Beyond the infinite: Rothschild Distinguished Visiting Professor LectureAdd to your list(s) Download to your calendar using vCal - Woodin, H (Harvard University)
- Monday 05 October 2015, 16:00-17:00
- Seminar Room 1, Newton Institute.
If you have a question about this talk, please contact webseminars. Mathematical, Foundational and Computational Aspects of the Higher Infinite The modern mathematical story of infinity began in the period 1879-84 with a series of papers by Cantor that defined the fundamental framework of the subject. Within 40 years the key ZFC axioms for Set Theory were in place and the stage was set for the detailed development of transfinite mathematics, or so it seemed. However, in a completely unexpected development, Cohen showed in 1963 that even the most basic problem of Set Theory, that of Cantor’s Continuum Hypothesis, was not solvable on the basis of the ZFC axioms. The 50 years since Cohen’s work has seen a vast development of Cohen’s method and the realization that the occurrence of unsolvable problems is ubiquitous in Set Theory. This arguably challenges the very conception of Cantor on which Set Theory is based. Thus a fundamental dilemma has emerged. On the one hand, the discovery, also over the last 50 years, of a rich hierarchy axioms of infinity seems to argue that Cantor’s conception is fundamentally sound. But on the other hand, the developments of Cohen’s method over this same period seem to strongly suggest there can be no preferred extension of the ZFC axioms to a system of axioms that can escape the ramifications of Cohen’s method. But this dilemma was itself based on a misconception and recent discoveries suggest there is a resolution. This talk is part of the Isaac Newton Institute Seminar Series series. ## This talk is included in these lists:- All CMS events
- Featured lists
- INI info aggregator
- Isaac Newton Institute Seminar Series
- School of Physical Sciences
- Seminar Room 1, Newton Institute
- bld31
Note that ex-directory lists are not shown. |
## Other listsDepartmental Seminars in History and Philosophy of Science CUFAS talks Medieval Archaeology Group Seminar Series## Other talksInsight into the molecular mechanism of extracellular matrix calcification in the vasculature from NMR spectroscopy and electron microscopy CGHR Practitioner Series: Andrea Coomber, JUSTICE Glanville Lecture 2017/18: The Book of Exodus and the Invention of Religion Systems for Big Data Applications: Revolutionising personal computing Questions of Morality in Global Health- An interdisciplinary conference Rhys Jones: Temporal Claustrophobia at the Continental Congress, 1774-1776 |