Quercus
November 19, 2012, 2:57pm
41
drewtwo99:
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.
(Source: Wikipedia)
I don’t see this as a rigorous mathematical proof, but rather a demonstration that ‘interesting’ is not well-defined, and human inventiveness can eventually find a way to make anything ‘interesting’ in some way.
OldGuy:
The Ramanujan’s quote, “‘No,’ he replied, 'it is a very interesting number; it is the smallest number expressible as the sum of two cubes in two different ways.” isn’t quite right or he was wrong.
He should have said the smallest positive number expressible as the sum of two positive cubes in tow different ways.
Dude , he was in the hospital . Cut him some slack :o