Abstract

This chapter presents a response to Chapter 1. The arguments put forward in that chapter attempted to drive us from the paradise created by Cantor’s theory of infinite number. The principal complaint is that Cantor’s proof that the subsets of a set are more numerous than its elements fails to yield an adequate diagnosis of Russell’s paradox. This chapter argues that Cantor’s proof was never meant to be a diagnosis of Russell’s paradox. Further, it argues that Cantor’s theory is fine as it is.