Paradox

[Pigeon]

Interesting number paradox

The first number that can be considered "dull" rather than "interesting" becomes interesting because of that fact.

[Egg]

HA! What's a dull number?

[Pigeon]

Assume that you have a non-empty set of natural numbers that are not interesting. Due to the well-ordered property of the natural numbers, there must be some smallest number in the set of uninteresting numbers. Being the smallest number of a set one might consider not interesting makes that number interesting after all: a contradiction.

[IndicusMaximus]

i'm dead now. my face just exploded.