I met a fellow math professor at a conference several weeks ago who is teaching a class on the idea of infinity. He told me of a story he tells his class about how difficult the idea of "infinity" can be. He described a class that a student wants to sign up for with an infinite number of seats. There are, however, already an infinite number of students enrolled, so each seat is already taken. A new student comes into that class, and wants to enroll, only to find every seat taken.

search