You cannot evade quantity. You may fly to poetry and music, and quantity and number will face you in your rhythms and your octaves.

There are no whole truths: all truths are half-truths. It is trying to treat them as whole truths that plays to the devil.

Mathematics as a science, commenced when first someone, probably a Greek, proved propositions about "any" things or about "some" things, without specifications of definite particular things.

...the self-satisfied dogmatism with which mankind at each period of its history cherishes the delusion of the finality of existing modes of knowledge.

Wisdom alone is true ambition's aim, wisdom is the source of virtue and of fame; obtained with labour, for mankind employed, and then, when most you share it, best enjoyed.

But you can catch yourself entertaining habitually certain ideas and setting others aside; and that, I think, is where our personal destinies are largely decided.

The purpose of education is not to fill a vessel but to kindle a flame.