Mathematics, in its widest significance, is the development of all types of formal, necessary, deductive reasoning.

The ultimate metaphysical ground is the creative advance into novelty.

No one who achieves success does so without acknowledging the help of others. The wise and confident acknowledge this help with gratitude.

There is no greater hindrance to the progress of thought than an attitude of irritated party-spirit.

Error is the price we pay for progress.

Art is the imposing of a pattern on experience.

Nature gets credit which should in truth be reserved for ourselves: the rose for its scent, the nightingale for its song; and the sun for its radiance. The poets are entirely mistaken. They should address their lyrics to themselves and should turn them into odes of self congratulation on the excellence of the human mind.