Nature is probably quite indifferent to the aesthetic preferences of mathematicians.
Alfred North WhiteheadInventive genius requires pleasurable mental activity as a condition for its vigorous exercise. "Necessity is the mother of invention" is a silly proverb. "Necessity is the mother of futile dodges" is much closer to the truth. The basis of growth of modern invention is science, and science is almost wholly the outgrowth of pleasurable intellectual curiosity.
Alfred North WhiteheadReligion is what the individual does with his own solitariness. Thus religion is solitariness; and if you are never solitary, you are never religious.
Alfred North Whitehead[In many circumstances,] the most important thing about a proposition is not that it be true, but that it be interesting.
Alfred North WhiteheadIn a living civilization there is always an element of unrest, for sensitiveness to ideas means curiosity, adventure, change. Civilized order survives on its merits and is transformed by its power of recognizing its imperfections.
Alfred North WhiteheadThe main importance of Francis Bacon's influence does not lie in any peculiar theory of inductive reasoning which he happened to express, but in the revolt against second-hand information of which he was a leader.
Alfred North WhiteheadOne main factor in the upward trend of animal life has been the power of wandering.
Alfred North WhiteheadThe 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.
Alfred North WhiteheadWithout deductive logic science would be entirely useless. It is merely a barren game to ascend from the particular to the general, unless afterwards we can reverse the process and descend from the general to the particular, ascending and descending like angels on Jacob's ladder.
Alfred North WhiteheadEvery philosophy is tinged with the coloring of some secret imaginative background, which never emerges explicitly into its train of reasoning.
Alfred North WhiteheadIn modern times the belief that the ultimate explanation of all things was to be found in Newtonian mechanics was an adumbration of the truth that all science, as it grows towards perfection, becomes mathematical in its ideas.
Alfred North WhiteheadNo man of science wants merely to know. He acquires knowledge to appease his passion for discovery. He does not discover in order to know, he knows in order to discover.
Alfred North WhiteheadVigorous societies harbor a certain extravagance of objectives, so that men wander beyond the safe provision of personal gratifications.
Alfred North WhiteheadSpeech is human nature itself, with none of the artificiality of written language.
Alfred North Whitehead...the only simplicity to be trusted is the simplicity to be found on the far side of complexity.
Alfred North WhiteheadWithout adventure all civilization is full of decay. Adventure rarely reaches its predetermined end. Columbus never reached China.
Alfred North WhiteheadTo come very near to a true theory, and to grasp its precise application, are two different things, as the history of science teaches us. Everything of importance has been said before by someone who did not discover it.
Alfred North WhiteheadI put forward as a general definition of civilization, that a civilized society is exhibiting the five qualities of Truth, Beauty, Adventure, Art, Peace.
Alfred North WhiteheadThe mentality of mankind and the language of mankind created each other. If we like to assume the rise of language as a given fact, then it is not going too far to say that the souls of men are the gift from language to mankind. The account of the sixth day should be written: He gave them speech, and they became souls.
Alfred North WhiteheadAn unflinching determination to take the whole evidence into account is the only method of preservation against the fluctuating extremes of fashionable opinion.
Alfred North WhiteheadThe vitality of thought is in adventure. Ideas won't keep. Something must be done about them. When the idea is new, its custodians have fervor, live for it, and if need be, die for it.
Alfred North WhiteheadIn England if something goes wrong--say, if one finds a skunk in the garden--he writes to the family solicitor, who proceeds to take the proper measures; whereas in America, you telephone the fire department. Each satisfies a characteristic need; in the English, love of order and legalistic procedure; and here in America, what you like is something vivid, and red, and swift.
Alfred North WhiteheadNature, even in the act of satisfying anticipation, often provides a surprise.
Alfred North WhiteheadIn formal logic, a contradiction is the signal of defeat, but in the evolution of real knowledge it marks the first step in progress toward a victory.
Alfred North WhiteheadThe foundations of the world are to be found, not in the cognitive experience of conscious thought, but in the aesthetic experience of everyday life.
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 WhiteheadEach generation criticizes the unconscious assumptions made by its parent. It may assent to them, but it brings them out in the open.
Alfred North WhiteheadIn a sense, knowledge shrinks as wisdom grows, for details are swallowed up in principles. The details for knowledge which are important, will be picked up ad hoc in each avocation of life, but the habit of the active utilization of well-understood principles is the final possession of WISDOM.
Alfred North WhiteheadPhilosophy begins in wonder. And, at the end, when philosophic thought has done its best, the wonder remains.
Alfred North WhiteheadOn the ostensible exactitude of certain branches of human knowledge, including mathematics. The exactness is a fake.
Alfred North WhiteheadAfter you understand about the sun and the stars and the rotation of the earth, you may still miss the radiance of the sunset.
Alfred North WhiteheadCivilization advances by extending the number of important operations which we can perform without thinking of them.
Alfred North Whitehead