marți, 1 martie 2011

A dracu' logica asta, nu-i asha, dom' capitan?

Claim: There is no such thing as an uninteresting natural number.

Proof by Contradiction: 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.

Sursa: inepuizabila Wikipedia

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"Sursa: inepuizabila Wikipedia":