Vigorous societies harbour a certain extravagance of objectives.

An open mind is all very well in its way, but it ought not to be so open that there is no keeping anything in or out of it.

The vigour of civilised societies is preserved by the widespread sense that high aims are worth while. Vigorous societies harbour a certain extravagance of objectives, so that men wander beyond the safe provision of personal gratifications. All strong interests easily become impersonal, the love of a good job well done. There is a sense of harmony about such an accomplishment, the Peace brought by something worth while. Such personal gratification arises from aim beyond personality.

Religion is what the individual does with his own solitariness.

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

There is a tradition of opposition between adherents of induction and of deduction. In my view it would be just as sensible for the two ends of a worm to quarrel.

Error is the price we pay for progress.