Zermelo Fraenkel Foundation @richarde.borcherds7998

Uploaded November 2021 | Updated September 2026, 2 weeks ago

This is part of a series of lectures on the Zermelo-Fraenkel axioms for set theory.

We discuss the axiom of foundation, which says that the membership relation is well founded, and give some examples of the bizarre things that can happen if sets are allowed to be non-well-founded.

For the other lectures in the course see youtube.com/playlist?list=PL8yHsr3EFj52EKVgPi-p50fRP2_SbG2oi

Rings 10 Tensor products of abelian groups

Complex analysis: Weierstrass elliptic functions

Theory of numbers: Congruences: Eulers theorem

Modular forms: Theta functions in higher dimensions

Introduction to number theory lecture 3: Divisibility and Euclids algorithms.

Vinberg lecture part 4. Automorphic forms

Introduction to number theory lecture 13. The Chinese remainder theorem.

Introduction to number theory lecture 16. More numerical calculation