Mathematics Undergraduate Seminar Series presents “Introduction to Zermelo-Fraenkel Axioms (Part 2)” Wednesday
Sets are the basic objects of mathematics. More precisely every mathematical statement can be written only in terms of sets and symbolic logic. But we have a problem. If sets are the fundaments of mathematics, what are the objects of which sets are made? They are sets as well! As an example, consider the set N of natural numbers. Clearly 2 is an element of N, but can we see 2 as a set? Can we give a meaning to the expression 2∩3 ? The Zermelo-Fraenkel axioms allow us to present every mathematical object as a set and they provide a consistent theory for sets and ultimately for mathematics as a whole. In this second seminar, we present the last four Zermelo-Fraenkel axioms. In particular, we will prove that the universe is not a set and we will define the set of natural numbers.
Mathematics Undergraduate Seminar Series presents: “Introduction to Zermelo-Fraenkel Axioms (Part 2)”
Wednesday, Jan. 28 | 3-3:50 p.m. | Bridges 268
By Damiano Fulghesu, MSUM