Mathematics Undergraduate Seminar Series presents “Introduction to Zermelo-Fraenkel Axioms (Part 1)” 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 these two seminars, we present
the Zermelo-Fraenkel axioms and show how to write consistent definitions avoiding dangerous paradoxes.
Mathematics Undergraduate Seminar Series presents: “Introduction to Zermelo-Fraenkel Axioms (Part 1)”
Wednesday, Jan. 21 | 3-3:50 p.m. | Bridges 268
By Damiano Fulghesu, MSUM