How do mathematicians measure “size”?

In this talk, I will discuss many ways mathematicians have of quantifying the “size” of an object. We will compare and contrast various approaches to this quantification including cardinality, measure, and denseness. Next, we will focus on an idea of (natural) density. Density in number theory allows us to answer questions such as “What portion of integers are prime?” or “What portion of prime numbers end in 1?” We will find the answers to questions like these and more!