Seventeen paradoxes of the infinite

pp. 17-38

in: Michael Huemer, Approaching infinity, Basingstoke, Palgrave Macmillan, 2016

Abstract

In this chapter, I aim to convince you that infinity is puzzling. I start with some simple mathematical puzzles before moving on to more exotic paradoxes. I will not attempt to solve any of the paradoxes in this chapter; solutions will be considered later.