Guarav+Bhatnavar

Isosceles Triangle
An Isosceles Triangle looks in the mirror, and finds itself un-reversed. "My base angles are equal," it says.

The scientific training, teaches how to discover.
 * On Doing Math**

The artistic training teaches how to uncover.

The mathematician uncovers, only to discover -- new things to uncover.

[|Paradox]
[|Paradox]

All Cretans are liars said Epiminedes, a Cretan, a classic Paradox.

If Epiminedes tells the truth then he must be lying. And if he is lying, he is telling the truth.

Sounds like a contradiction, doesn't it? But a paradox is different from a contradiction.

Contradictions are not allowed: because P and Not P implies any Q. In other words, a contradiction implies any proposition.

"The Pope and I are two". said Russell, "If 2 = 1, then the Pope and I are one." Thus went Russell's proof that he was the Pope.

But a paradox is different, its more valuable. It increases the size of your universe.

Russell's paradox showed the gaps in set theory and set the stage for the next leap forward.

Paradoxes are the stuff of which giant leaps are made.

Lots more here.