Paradox of interesting numbers
Each human being is interesting
Recently, I stumbled upon an interesting article on Wikipedia about the paradox of interesting numbers.
The interesting number paradox is a mathematical paradox that came into existence when two mathematicians G.H. Hardy and Srinivasa Ramanujan were discussing about interesting and uninteresting numbers.
G.H. Hardy told Ramanujan, “The taxicab number 1729 seems uninteresting”. To which, Ramanujan contradicted that it is interesting as it is the smallest number which is the sum of two cubes in 2 different ways.
This paradox attempts to classify the natural numbers into interesting and uninteresting set of numbers and the mathematical proof was given by contradiction.
Suppose we have a set of uninteresting natural numbers but the smallest number in that set would be interesting as it is the smallest number and thus raising a contradiction.
The source shows the unique qualities of first 1000 natural numbers.
0 is the additive identity.
1 is the multiplicative identity.
2 is the only even prime.
3 is the number of spatial dimensions we live in.
4 is the smallest number of colors sufficient to color all planar maps.
5 is the number of Platonic solids.
6 is the smallest perfect number.
7 is…
