Adventures in Mathmagic Land

A trip to the Museum of Science brought me back to the Mathematica Exhibit, and I explored it very deeply, stumbling upon this wonderful little proof:

E.F. Beckenbach gave a proof that all numbers are interesting:

Suppose there are some numbers that are uninteresting. That means we can group and order them. There must be a smallest uninteresting number. That would be an interesting property, and thus there is no smallest uninteresting number, thus there are no uninteresting numbers.