to Cantor’s Diagonal Argument and Cantor’s supposed proof that there exist more real numbers than natural numbers. In this essay I will firstly outline this argument and continue by setting out some of its implications. I next consider Wittgenstein and his remarks on Cantor’s argument, namely the abstract nature of transfinite numbers, the use of the term infinite and the assumption that all sets may be well ordered. Finally I will conclude that whilst Wittgenstein considers Cantor’s argument to
the issue completely. However, Georg Cantor changed what mathematicians thought about infinity in a series of radical ideas. While you really should read my full report if you want to learn about infinity, this paper is simply gets your toes wet in Cantor’s concepts. Cantor used very simple proofs to demonstrate ideas such as that there are infinities whose values are greater than other infinities. He also proved there are an infinite number of infinities. While all these ideas take a while to explain