Something more than impeccable logic is required in mathematics. An expert logician will not necessarily be a passable mathematician for all his skil… - William Rowan Hamilton

The analytical geometry of Descartes and the calculus of Newton and Leibniz have expanded into the marvelous mathematical method—more daring than anything that the history of philosophy records—of Lobachevsky and Riemann, Gauss and Sylvester. Indeed, mathematics, the indispensable tool of the sciences, defying the senses to follow its splendid flights, is demonstrating today, as it never has been demonstrated before, the supremacy of the pure reason.

Philosophy is written in that great book which ever lies before our eyes — I mean the universe — but we cannot understand it if we do not first learn the language and grasp the symbols, in which it is written. This book is written in the mathematical language, and the symbols are triangles, circles and other geometrical figures, without whose help it is impossible to comprehend a single word of it; without which one wanders in vain through a dark labyrinth.

Prometheus: ...
List rather to the deeds
I did for mortals; how being fools before,
I made them wise and true in aim of soul. ...
But teaching you the intention of my gifts,
How first beholding, they beheld in vain,
And hearing, heard not, but, like shapes in dreams,
Mixed all things wildly down the tedious time,
Nor knew to build a house against the sun...
But lived like silly ants, beneath the ground
In hollow caves unsunned. There, came to them
No steadfast sign of winter, nor of spring...
But blindly and lawlessly they did all things,
Until I taught them how the stars do rise
And set in mystery, and devised for them
Number, the inducer of philosophies,
The synthesis of Letters, and, beside,
The artificer of all things, Memory,
That sweet Muse-mother.