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)
“Mining today is an affair of mathematics, of finance, of the latest in engineering skill. Cautious men behind polished desks in San Francisco figure out in advance the amount of metal to a cubic yard, the number of yards washed a day, the cost of each operation. They have no need of grubstakes.”
—Merle Colby, U.S. public relief program (1935-1943)
“A good aphorism is too hard for the teeth of time and is not eaten up by all the centuries, even though it serves as food for every age: hence it is the greatest paradox in literature, the imperishable in the midst of change, the nourishment which—like salt—is always prized, but which never loses its savor as salt does.”
—Friedrich Nietzsche (1844–1900)