starting the week of Sept. 17
Course on Large Cardinals
Paul Larson (Miami University)
Tuesdays and Thursdays 1:30 p.m. – 3:00 p.m.
Stewart Library, Fields Institute
Large cardinal axioms, also known as the axioms of the higher infinite, posit cardinals that prescribe their own transcendence over smaller cardinals and provide a superstructure for the analysis of strong propositions in set theory. They form an essentially linear hierarchy reaching up to inconsistent extensions of motivating concepts. This course will focus on the most fundamental large cardinal notions, emphasizing their inter-relationship with combinatorics and with forcing techniques.