## Top Three Infinity ∞ Paradoxes – Part 1 – Hilbert’s Infinite Hotel Redux

Series about Infinity: Part 1 **Part 2 Part 3**

A number of my more mathematically inclined readers have (not so subtly) informed me that my original post about Hilbert’s Hotel had multiple errors:

- My proof that an uncountably infinite set is “greater than” a countable