The object of pure Mathematic (is) that of unfolding the laws of human intelligence.

What a glorious title, Nature, a veritable stroke of genius to have hit upon. It is more than a cosmos, more than a universe. It includes the seen as well as the unseen, the possible as well as the actual, Nature and Nature's God, mind and matter. I am lost in admiration of the effulgent blaze of ideas it calls forth.

A mathematical idea should not be petrified in a formalised axiomatic setting, but should be considered instead as flowing as a river.

May not music be described as the mathematics of the sense, mathematics as music of the reason? The musician feels mathematics, the mathematician thinks music: music the dream, mathematics the working life.

Mathematics is the music of reason.

It seems to be expected of every pilgrim up the slopes of the mathematical Parnassus, that he will at some point or other of his journey sit down and invent a definite integral or two towards the increase of the common stock.

The object of pure Mathematic (is) that of unfolding the laws of human intelligence.