All Of Mathematics Is A Tale About

Hypotheses Are What We Lack The Least.

A Reality Completely Independent Of The Spirit That Conceives It, Sees It, Or Feels It, Is An Impossibility. A World So External As That, Even If It Existed, Would Be Forever Inaccessible To Us.

All Great Progress Takes Place When Two Sciences Come Together, And When Their Resemblance Proclaims Itself, Despite The Apparent Disparity Of Their Substance.

Most Striking At First Is The Appearance Of Sudden Illumination, A Manifest Sign Of Long Unconscious Prior Work.

...the Feeling Of Mathematical Beauty, Of The Harmony Of Numbers And Of Forms, Of Geometric Elegance. It Is A Genuinely Aesthetic Feeling, Which All Mathematicians Know