Axioms 7 Quotes & Sayings

Not only the individual experience slowly acquired, but the accumulated experience of the race, organized in language, condensed in instruments and axioms, and in what may be called the inherited intuitions
these form the multiple unity which is expressed in the abstract term experience. — George Henry Lewes

Reflect on the "I" which can grasp all this. If the "I' can grasp the idea of the universe and its laws, then that "I" stands above all other things, stands aside from all other things, judges them, fathoms them. In that case, the "I" is not only liberated from earthly axioms, the earthly laws, but has its own law, which transcends the earthly. Now, whence comes that law? Certainly not from earth, where all reaches its issue, and vanishes beyond recall. Is that no indication of immortality? If there were no personal immortality, would you be worrying yourself about it, be searching for an answer? ... — Fyodor Dostoyevsky

In brief, the teaching process, as commonly observed, has nothing to do with the investigation and establishment of facts, assuming that actual facts may ever be determined. Its sole purpose is to cram the pupils, as rapidly and as painlessly as possible, with the largest conceivable outfit of current axioms, in all departments of human thought - to make the pupil a good citizen, which is to say, a citizen differing as little as possible, in positive knowledge and habits of mind, from all other citizens. In other words, it is the mission of the pedagogue, not to make his pupils think, but to make them think right, and the more nearly his own mind pulsates with the great ebbs and flows of popular delusion and emotion, the more admirably he performs his function. He may be an ass, but this is surely no demerit in a man paid to make asses of his customers. — H.L. Mencken

Jean Valjean disconcerted him. All the axioms which had served him as points of support all his life long, had crumbled away in the presence of this man. Jean Valjean's generosity towards him, Javert, crushed him. — Victor Hugo

Things happen when they should, not when they can. — Raheel Farooq

In the Principia Mathematica, Bertrand Russell and Alfred Whitehead attempted to give a rigorous foundation to mathematics using formal logic as their basis. They began with what they considered to be axioms, and used those to derive theorems of increasing complexity. By page 362, they had established enough to prove 1 + 1 = 2. — Ted Chiang

The full impact of the Lobachevskian method of challenging axioms has probably yet to be felt. It is no exaggeration to call Lobachevsky the Copernicus of Geometry [as did Clifford], for geometry is only a part of the vaster domain which he renovated; it might even be just to designate him as a Copernicus of all thought. — Eric Temple Bell

We do everything by custom, even believe by it; our very axioms, let us boast of free-thinking as we may, are oftenest simply such beliefs as we have never heard questioned. — Thomas Carlyle

The eye of understanding is like the eye of the sense; for as you may see great objects through small crannies or levels, so you may see great axioms of nature through small and contemptible instances. — Francis Bacon

You don't know how much I need such a friend," she said. "My aunt is full of copy-book axioms, but they were all meant to apply to conduct in the early fifties. I always feel that to live up to them would include wearing book-muslin with gigot sleeves. And the other women - my best friends - well, they use me or abuse me; but they don't care a straw what happens to me. I've been about too long - people are getting tired of me; they are beginning to say I ought to marry. — Edith Wharton

As soon as science has emerged from its initial stages, theoretical advances are no longer achieved merely by a process of arrangement. Guided by empirical data, the investigator rather develops a system of thought which, in general, is built up logically from a small number of fundamental assumptions, the so-called axioms. We call such a system of thought a theory. The theory finds the justification for its existence in the fact that it correlates a large number of single observations, and it is just here that the 'truth' of the theory lies. — Albert Einstein

I guess that's supposed to be deconstruction's original program, right? People have been under some sort of metaphysical anesthesia, so you dismantle the metaphysics' axioms and prejudices, show it in cross section and reveal the advantages of its abandonment. It's literally aggravating: you awaken them to the fact that they've been unconsciously imbibing some narcotic pharmakon since they were old enough to say "Momma."
-Interview with Larry McCaffery (1993) — David Foster Wallace

I'm not against the concept of Creators/God, I'm against the antiquated beliefs that there are evil things, which are merely axioms we concocted out of our inadequacy as mortal beings, primitive brain, and underdeveloped technology. — Andreas Laurencius

The principles of Jefferson are the definitions and axioms of free society. — Abraham Lincoln

The productions of the mind and hand seem very numerous in books and manufactures. But all this variety lies in an exquisite subtlety and derivations from a few things already known, not in the number of axioms. VIII — Francis Bacon

Since these words went into William's fermenting little brain not as word memories, but as circuitry for storing word memories, bricks used to build the kiln for firing bricks, he has no recollection of the rhyme, yet the ideas in it are axioms of his mental geometry. — Dennis Vickers

I collect axioms, paradoxes, maxims, teaching stories, proverbs, and aphorisms of all sorts, because I love to see complex ideas distilled into a few words. — Gretchen Rubin

Are the axioms of logic adequate to reality or are they a means and measure for us to create reality, the concept "reality", for ourselves? — Friedrich Nietzsche

What's more, I believe in argument and I even love it. Argument is our most steadfast pathway toward truth, for it is the only proven arbalest against superstitious thinking, or lackadaisical axioms. — Elizabeth Gilbert

Blaise Pascal used to mark with charcoal the walls of his playroom, seeking a means of making a circle perfectly round and a triangle whose sides and angle were all equal. He discovered these things for himself and then began to seek the relationship which existed between them. He did not know any mathematical terms and so he made up his own. Using these names he made axioms and finally developed perfect demonstrations, until he had come to the thirty-second proposition of Euclid. — Catharine Cox Miles

While the game of deadlocks and bottle-necks goes on, another more serious game is also being played. It is governed by two axioms. One is that there can be no peace without a general surrender of sovereignty: the other is that no country capable of defending its sovereignty ever surrenders it. If one keeps these axioms in mind one can generally see the relevant facts in international affairs through the smoke-screen with which the newspapers surround them. — George Orwell

Paradoxes are less paradoxical in their reference to truth than most of the most plausible axioms. — Raheel Farooq

When Keats says: 'Axioms in philosophy are not axioms until they are proved upon our pulses', what he means is that we don't necessarily believe what a poem is saying if it comes out and tells us in an absolutely head-on, in-your-face way; we only believe it to be true if we feel it to be true. — Andrew Motion

It's an old axiom of mine: marry your enemies and behead your friends. — Robert N. Lee

Underlying the preaching of the Puritans are three basic axioms: 1. The unique place of preaching is to convert, feed and sustain, 2. The life of the preacher must radiate the reality of what he preaches, 3. Prayer and solid Bible study are basic to effective preaching. — J.I. Packer

And what if they took over? What if they relieved us of power? We tend to assume that sentient machines would be inevitably demonic. But what if they were responsible leaders? Could they do much worse than we've done? They would immediately institute a system of laws. The constitution would be algorithmic. They would govern the world according to functions and the axioms their programmers gave them. — Louisa Hall

Finally there are simple ideas of which no definition can be given; there are also axioms or postulates, or in a word primary principles, which cannot be proved and have no need of proof. — Gottfried Leibniz

What are your Axioms, and Categories, and Systems, and Aphorisms? Words, words ... Be not the slave of Words ... — Thomas Carlyle

Hy is it that in problematic situations almost everyone resorts to axioms and societal remedies that in actuality almost nobody believes in? ... ask yourself, have you ever known anyone whose marriage was saved by a marriage counselor, whose drinking was cured by a psychiatrist, whose son was kept out of reform school by a social worker? — James Lee Burke

I do not want to presuppose anything as known. I see in my explanation in section 1 the definition of the concepts point, straight line and plane, if one adds to these all the axioms of groups i-v as characteristics. If one is looking for other definitions of point, perhaps by means of paraphrase in terms of extensionless, etc., then, of course, I would most decidedly have to oppose such an enterprise. One is then looking for something that can never be found, for there is nothing there, and everything gets lost, becomes confused and vague, and degenerates into a game of hide and seek. — David Hilbert