Azul Fatalini (University of Leeds) – Paradoxical sets and the Axiom of Choice
- Date
- @ MALL, online, 15:00
- Location
- MALL, online
- Speaker
- Azul Fatalini
- Affiliation
- University of Leeds
- Category
- Logic
There are many “paradoxical sets” of reals that can be obtained using a well-ordering of the reals or using a non-principal ultrafilter on ℕ, both consequences of the Axiom of Choice. In ZF, can we recover the well-ordering of the reals or the ultrafilter on ℕ from the existence of a given paradoxical set? Under certain amalgamation conditions, we give some negative answers to this question.