It belongs to the self-respect of intellect to pursue every tangle of thought to its final unravelment.
Alfred North WhiteheadThe 'silly question' is the first intimation of some totally novel development.
Alfred North WhiteheadReligion will not regain its old power until it can face change in the same spirit as does science.
Alfred North WhiteheadThe 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.
Alfred North WhiteheadThe point of mathematics is that in it we have always got rid of the particular instance, and even of any particular sorts of entities. So that for example, no mathematical truths apply merely to fish, or merely to stones, or merely to colours. So long as you are dealing with pure mathematics, you are in the realm of complete and absolute abstraction. . . . Mathematics is thought moving in the sphere of complete abstraction from any particular instance of what it is talking about.
Alfred North Whitehead