The whole of mathematics consists in the organization of a series of aids to the imagination in the process of reasoning.
Alfred North WhiteheadBut harmony is limitation. Thus rightness of limitation is essential for growth of reality. Unlimited possibility and abstract creativity can procure nothing.
Alfred North WhiteheadThe aim of science is to seek the simplest explanation of complex facts... Seek simplicity and distrust it.
Alfred North WhiteheadNo period of history has ever been great or ever can be that does not act on some sort of high, idealistic motives, and idealism in our time has been shoved aside, and we are paying the penalty for it.
Alfred North WhiteheadI am sure that one secret of a successful teacher is that he has formulated quite clearly in his mind what the pupil has got to know in precise fashion. He will then cease from half-hearted attempts to worry his pupils with memorizing a lot of irrelevant stuff of inferior importance.
Alfred North Whitehead