Interesting Number Paradox - Proof

Proof

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

Proof by Contradiction: Assume that there is 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 may consider uninteresting makes that number interesting after all: a contradiction.

Read more about this topic:  Interesting Number Paradox

Famous quotes containing the word proof:

    The moment a man begins to talk about technique that’s proof that he is fresh out of ideas.
    Raymond Chandler (1888–1959)

    A short letter to a distant friend is, in my opinion, an insult like that of a slight bow or cursory salutation—a proof of unwillingness to do much, even where there is a necessity of doing something.
    Samuel Johnson (1709–1784)

    The chief contribution of Protestantism to human thought is its massive proof that God is a bore.
    —H.L. (Henry Lewis)