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 foundations of the world are to be found, not in the cognitive experience of conscious thought, but in the aesthetic experience of everyday life.

The foundation of reverence is this perception, that the present holds within itself the complete sum of existence, backwards and forwards, that whole amplitude of time, which is eternity.

An unflinching determination to take the whole evidence into account is the only method of preservation against the fluctuating extremes of fashionable opinion.

The great achievements of the past were the adventures of the past. Only the adventurous can understand the greatness of the past.

Youth is life as yet unblemished by much tragedy, but hardly by TV.

The study of mathematics is apt to commence in disappointment... We are told that by its aid the stars are weighed and the billions of molecules in a drop of water are counted. Yet, like the ghost of Hamlet's father, this great science eludes the efforts of our mental weapons to grasp it.