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International Conference on Modern Algebra in conjunction with the 17th annual Shanks Lectures
May 21-24, 2002
Vanderbilt University
Nashville, TN, USA

Organizers
Jonathan Farley, Ralph Freese, Matthew Gould, Peter Jipsen, George McNulty, Miklos Maroti, Alexander Ol'shanskii, Steven Tschantz, Constantine Tsinakis, Matthew Valeriote

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Very large cardinals
by
Richard Laver
University of Colorado at Boulder

If phi(k) and psi(k) are properties of a cardinal k, say that phi(k) strongly implies psi(k) if phi(k) implies that psi(k) and that for some k' < k, psi(k'). Then the large cardinal properties of set theory tend to be well ordered under strong implication. We will review some facts about large cardinals and their relation to determinacy, and, in the case of very large cardinals, mention some consequences of and consider the question of strong implications between these axioms.

Date received: May 15, 2002

Copyright © 2002 by the author(s). The author(s) of this document and the organizers of the conference have granted their consent to include this abstract in Atlas Conferences Inc. Document # cajl-10.