# Joint Mathematics/Philosophy Colloquium: Extending Set theory: large cardinals & analysis

Presented by:

Toby Meadows (UQ)
Date:

Mon 29 Aug, 4:00 pm - 5:00 pm
Venue:

Mansergh Shaw building (45), room 204 I will provide an introductory overview of some results and techniques from contemporary set theory. In particular, I will be concerned with the addition of certain axioms to ZFC which have surprising effects in analysis; for example, they allow us to show that more sets of reals are Lebesgue measurable. I’ll start with a discussion of the incompleteness of ZFC and how this motivates large cardinal axioms. I’ll then introduce determinacy theorems and discuss their effect on analysis while illustrating some of basic proof techniques. Finally, I’ll close by mentioning some more recent results and their underlying limitations.