Invited talk:

Philosophical implications of some recent breakthroughs in set theory


Joan Bagaria  (University of Barcelona)

We shall discuss the foundational and philosophical implications of some recent results in set theory, such as Woodin’s HOD-Dichotomy theorem, the proof by Aspero-Schindler that MM++ implies the (*) axiom, and some theorems, due to several authors, that provide new in- sights into the hierarchy of large cardinals, including large cardinals that contradict the Axiom of Choice.

Date: Tuesday, July 31st