Definition: Number theory is a branch of pure mathematics devoted to the study of the natural numbers and the integers. It is the study of the set of positive whole numbers which are usually called ...
for all infinite sets X X and Y Y. Proving this required most of the concepts and results from the second half of the course: well ordered sets, the Cantor–Bernstein theorem, the Hartogs theorem, Zorn ...
Here we explore what the theory of general relativity is and how it affects space-time. When you purchase through links on our site, we may earn an affiliate commission. Here’s how it works.
It’s the penultimate week of the course, and up until now we’ve abstained from using the axiom of choice. But this week we gorged on it. The section I most enjoyed writing and teaching was the last ...
The Logic and Set Theory Seminar is the research seminar of the set theory group. Seminar talks may be on any topic any relating to set theory or logic. Students are encouraged to attend and to speak!