Mathematics, in its widest significance, is the development of all types of formal, necessary, deductive reasoning.
Alfred North WhiteheadLearning is often spoken of as if we are watching the open pages of all the books which we have ever read, and then, when occasion arises, we select the right page to read aloud to the universe.
Alfred North WhiteheadI always feel that I have two duties to perform with a parting guest: one, to see that he doesn't forget anything that is his; the other, to see that he doesn't take anything that is mine.
Alfred North WhiteheadReligion will not regain its old power until it can face change in the same spirit as does science.
Alfred North WhiteheadTrue courage is not the brutal force of vulgar heroes, but the firm resolve of virtue and reason.
Alfred North WhiteheadThere are no whole truths: all truths are half-truths. It is trying to treat them as whole truths that plays to the devil.
Alfred North WhiteheadThe only use of a knowledge of the past is to equip us for the present. The present contains all that there is. It is holy ground; for it is the past, and it is the future.
Alfred North WhiteheadI have suffered a great deal from writers who have quoted this or that sentence of mine either out of its context or in juxtaposition to some incongruous matter which quite distorted my meaning, or destroyed it altogether.
Alfred North WhiteheadA philosopher of imposing stature doesn't think in a vacuum. Even his most abstract ideas are, to some extent, conditioned by what is or is not known in the time when he lives.
Alfred North WhiteheadThe true method of discovery is like the flight of an aeroplane. It starts from the ground of particular observation; it makes a flight in the thin air of imaginative generalization; and it again lands for renewed observation rendered acute by rational interpretation.
Alfred North WhiteheadYou think the world is what it looks like in fine weather at noon day; I think it is what it seems like in the early morning when one first wakes from deep sleep.
Alfred North WhiteheadA great society is a society in which its men of business think greatly of their functions.
Alfred North WhiteheadNo religion can be considered in abstraction from its followers, or even from its various types of followers.
Alfred North WhiteheadA race preserves its vigor so long as it harbors a real contrast between what has been and what may be; and so long as it is nerved by the vigor to adventure beyond the safeties of the past. Without adventure civilization is in full decay.
Alfred North WhiteheadYou cannot evade quantity. You may fly to poetry and music, and quantity and number will face you in your rhythms and your octaves.
Alfred North WhiteheadI have always noticed that deeply and truly religious persons are fond of a joke, and I am suspicious of those who aren't.
Alfred North WhiteheadOur rate of progress is such that an individual human being, of ordinary length of life, will be called on to face novel situations which find no parallel in his past. The fixed person, for the fixed duties, who, in older societies was such a godsend, in the future will be a public danger.
Alfred North WhiteheadThe point about zero is that we do not need to use it in the operation of daily life. No one goes out to buy zero fish.
Alfred North WhiteheadIt is more important that a proposition be interesting than that it be true. This statement is almost a tautology. For the energy of operation of a proposition in an occasion of experience is its interest and is its importance. But of course a true proposition is more apt to be interesting than a false one.
Alfred North WhiteheadI consider Christianity to be one of the great disasters of the human race... It would be impossible to imagine anything more un - Christianlike than theology.
Alfred North WhiteheadIt must be admitted that there is a degree of instability which is inconsistent with civilization. But, on the whole, the great ages have been unstable ages.
Alfred North WhiteheadFaith in the possibility of science, generated antecedently to the development of modern scientific theory, is an unconscious derivative from medieval theology.
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 WhiteheadThe factor in human life provocative of a noble discontent is the gradual emergence of a sense of criticism, founded upon appreciation of beauty, and of intellectual distinction, and of duty.
Alfred North WhiteheadThe real history does not get written, because it is not in people's brains but in their nerves and vitals.
Alfred North WhiteheadNow in creative thought common sense is a bad master. Its sole criterion for judgement is that the new ideas shall look like the old ones. In other words it can only work by suppressing originality.
Alfred North WhiteheadThe aim of science is to seek the simplest explanation of complex facts. We are apt to fall into the error of thinking that the facts are simple because simplicity is the goal of our quest. The guiding motto in the life of every natural philosopher should be ``Seek simplicity and distrust it.''
Alfred North WhiteheadEvery organism requires an environment of friends, partly to shield it from violent changes, and partly to supply it with its wants.
Alfred North WhiteheadIt is not paradox to say that in our most theoretical moods we may be nearest to our most practical applications.
Alfred North WhiteheadIn the conditions of modern life the rule is absolute, the race which does not value trained intelligence is doomed. Not all your heroism, not all your social charm, not all your wit, not all your victories on land or at sea, can move back the finger of fate. To-day we maintain ourselves. To-morrow science will have moved forward yet one more step, and there will be no appeal from the judgment which will then be pronounced on the uneducated.
Alfred North WhiteheadThe ideas of Freud were popularized by people who only imperfectly understood them, who were incapable of the great effort required to grasp them in their relationship to larger truths, and who therefore assigned to them a prominence out of all proportion to their true importance.
Alfred North WhiteheadFor successful education there must always be a certain freshness in the knowledge dealt with. It must be either new in itself or invested with some novelty of application to the new world of new times. Knowledge does not keep any better than fish. You may be dealing with knowledge of the old species, with some old truth; but somehow it must come to the students, as it were, just drawn out of the sea and with the freshness of its immediate importance.
Alfred North WhiteheadCulture is activity of thought, and receptiveness to beauty and humane feeling. Scraps of information have nothing to do with it. A merely well informed man is the most useless bore on God's earth.
Alfred North WhiteheadThe total absence of humor from the Bible is one of the most singular things in all literature.
Alfred North WhiteheadCivilization advances by extending the number of important operations which we can perform without thinking about them. Operations of thought are cavalry charges in a battle - they are limited in number, they require fresh horses, and must only be made at decisive moments.
Alfred North WhiteheadWe must not expect simple answers to far-reaching questions. However far our gaze penetrates, there are always heights beyond which block our vision.
Alfred North WhiteheadIn this modern world, the celibacy of the medieval learned class has been replaced by a celibacy of the intellect which is divorced from the concrete contemplation of the complete facts.
Alfred North WhiteheadAlgebra is the intellectual instrument which has been created for rendering clear the quantitative aspects of the world.
Alfred North WhiteheadGreat art is more than a transient refreshment. It is something which adds to the permanent richness of the soul's self-attainment. It justifies itself both by its immediate enjoyment, and also by its discipline of the inmost being. Its discipline is not distinct from enjoyment but by reason of it. It transforms the soul into the permanent realization of values extending beyond its former self.
Alfred North WhiteheadSpeak out in acts; the time for words has passed, and only deeds will suffice.
Alfred North Whitehead