The interesting number paradox is a semi-humorous paradox that arises from attempting to classify natural numbers as "interesting" or "dull". The paradox states that all natural numbers are interesting. The "proof" is by contradiction: if there exists a non-empty set of uninteresting numbers, there would be a smallest uninteresting number – but the smallest uninteresting number is itself interesting because it is the smallest uninteresting number, producing a contradiction.
Read more about Interesting Number Paradox: Proof, Paradoxical Nature
Famous quotes containing the words interesting, number and/or paradox:
“... in writing you cannot possibly be interesting if what you say is not true, if it is what I call “a true lie,” i.e., a truth which gives the wrong impression. For no matter how subtly you lie in writing, people know it and don’t believe you, and the whole secret of being interesting is to be believed.”
—Brenda Ueland (1891–1985)
“... is it not clear that to give to such women as desire it and can devote themselves to literary and scientific pursuits all the advantages enjoyed by men of the same class will lessen essentially the number of thoughtless, idle, vain and frivolous women and thus secure the [sic] society the services of those who now hang as dead weight?”
—Sarah M. Grimke (1792–1873)
“...This
is the paradox of vision:
Sharp perception softens
our existence in the world.”
—Susan Griffin (b. 1943)