Lowness and avoidance: a guide to separation

Ludovic Levy Patey (CNRS, Paris)

Jul 28. 2025, 15:50 — 16:50

The early study of reverse mathematics revealed an empirical structural phenomenon of mathematics: most theorems from ordinary mathematics are equivalent to one of five main systems of second-order arithmetic. There are however a few exceptions, mostly coming from Ramsey theory. In this tutorial, we present a framework of separation, to prove that two statements are not equivalent in reverse mathematics. For this, we put the emphasis on a central concept in the theory of effective forcing, namely, the forcing question. 

Further Information
Venue:
ESI Schrödinger and Boltzmann Lecture Hall
Associated Event:
Reverse Mathematics (Thematic Programme)
Organizer(s):
Juan Aguilera (TU Vienna)
Linda Brown Westrick (Penn State U)
Noam Greenberg (Victoria U of Wellington)
Denis Hirschfeldt (U of Chicago)