Adventures in Mathmagic Land

[etherial]

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.

Comments

[pawo.livejournal.com]

First off, if the only thing interesting about something is that it's less boring than all other boring things... that's not really very interesting.

Secondly, if the cardinality of the set of uninteresting numbers is greater than that of the set of integers, it wouldn't be possible to group and order them in the first place. There might be infinitely many uninteresting real numbers, for example - there is no smallest real number.