Quotes by Mathematicians - Page 12

It is just as foolish to complain that people are selfish and treacherous as it is to complain that the magnetic field does not increase unless the electric field has a curl. Both are laws of nature.
John von Neumann
If man studied himself, he would see how incapable he is of going further.
Blaise Pascal
I found one day in school a boy of medium size ill-treating a smaller boy. I expostulated, but he replied: "The bigs hit me, so I hit the babies; that's fair." In these words he epitomized the history of the human race.
Bertrand Russell
Few men speak humbly of humility, chastely of chastity, skeptically of skepticism.
Blaise Pascal
Would you tell me, please, which way I ought to go from here?''That depends a good deal on where you want to get to,' said the Cat.'I don't much care where -' said Alice.'Then it doesn't matter which way you go,' said the Cat.'- so long as I get SOMEWHERE,' Alice added as an explanation.'Oh, you're sure to do that,' said the Cat, 'if you only walk long enough.
Lewis Carroll
It is the story that matters not just the ending.
Paul Lockhart
Government can easily exist without laws, but law cannot exist without government.
Bertrand Russell
Logic issues in tautologies, mathematics in identities, philosophy in definitions; all trivial, but all part of the vital work of clarifying and organising our thought.
Frank Plumpton Ramsey
It'll be no use their putting their heads down and saying, 'Come up again, dear!' I shall only look up and say, 'Who am I, then? Tell me that first, and then, if I like being that person, I'll come up -- if not, I'll stay down here till I'm somebody else' -- but, oh, dear!
Lewis Carroll
She who saves a single soul, saves the universe.
Lewis Carroll
What a wonderful and amazing Scheme have we here of the magnificent Vastness of the Universe! So many Suns, so many Earths, and every one of them stock’d with so many Herbs, Trees and Animals, and adorn’d with so many Seas and Mountains! And how must our wonder and admiration be encreased when we consider the prodigious distance and multitude of the Stars?
Christiaan Huygens
… scientific thought does not mean thought about scientific subjects with long names. There are no scientific subjects. The subject of science is the human universe; that is to say, everything that is, or has been, or may be related to man.
William Kingdon Clifford
If I have put the case of science at all correctly, the reader will have recognised that modern science does much more than demand that it shall be left in undisturbed possession of what the theologian and metaphysician please to term its 'legitimate field'. It claims that the whole range of phenomena, mental as well as physical-the entire universe-is its field. It asserts that the scientific method is the sole gateway to the whole region of knowledge.
Karl Pearson
When every fact, every present or past phenomenon of that universe, every phase of present or past life therein, has been examined, classified, and co-ordinated with the rest, then the mission of science will be completed. What is this but saying that the task of science can never end till man ceases to be, till history is no longer made, and development itself ceases?
Karl Pearson
Primary causes are unknown to us; but are subject to simple and constant laws, which may be discovered by observation, the study of them being the object of natural philosophy.Heat, like gravity, penetrates every substance of the universe, its rays occupy all parts of space. The object of our work is to set forth the mathematical laws which this element obeys. The theory of heat will hereafter form one of the most important branches of general physics.
Joseph Fourier
There can never be a clock at the center of the Universe to which everyone can set their watches. Your entire life can be the blink of an eye to an alien who leaves Earth traveling close to the speed of light, then returns an hour later to find that you have been dead for centuries.
Clifford A. Pickover
Everyone knows that physicists are concerned with the laws of the universe and have the audacity sometimes to think they have discovered the choices God made when He created the universe in thus and such a pattern. Mathematicians are even more audacious. What they feel they discover are the laws that God Himself could not avoid having to follow.
David Mumford
Some might question whether it makes sense to talk about setting up the experiment and running it again with exactly the same conditions--that it is, in fact, impossible. Locally, you might get the conditions exactly the same, but you have to embed the experiment in the universe, and that has moved on. You can't rewind the wave function of the universe and rerun it. The universe is a one-time-only experiment that includes us as part of its wave function, and there's no going back.
Marcus du Sautoy
I do not feel like an alien in this universe. The more I examine the universe and study the details of its architecture, the more evidence I find that the universe is some sense must have known that we were coming
Freeman Dyson
Away from the safety of your home, the universe was not made for your convenience.
Edward Witten
Number rules the universe.
Pythagoras
For who could better describe the eye than God, Who made it? But as it is clearer than the day that God has left a good deal to our own efforts ... we should really follow in these things the thread of nature, by which first principles, reason and daily experience lead us. Therefore, He prompts the minds of great men to inquire into the nature which He created, and He furthers and conducts their studies. These things must be enough to us, and from Holy Scripture we should seek in the first place only those things which are necessary to salvation.
Georg Joachim Rheticus
Silence is better than unmeaning words.
Pythagoras
I don't think..." then you shouldn't talk, said the Hatter.
Lewis Carroll
All political parties die at last of swallowing their own lies.
John Arbuthnot
And, in fine, of false sciences I thought I knew the worth sufficiently to escape being deceived by the professions of an alchemist, the predictions of an astrologer, the impostures of a magician, or by the artifices and boasting of any of those who profess to know things of which they are ignorant.
René Descartes
Thoroughly conscious ignorance is the prelude to every real advance in science.
James Clerk Maxwell
Scientific knowledge scarcely exists amongst the higher classes of society. The discussion in the Houses of Lords or of Commons, which arise on the occurrence of any subjects connected with science, sufficiently prove this fact…
Charles Babbage
Thus identified with astronomy, in proclaiming truths supposed to be hostile to Scripture, Geology has been denounced as the enemy of religion. The twin sisters of terrestrial and celestial physics have thus been joint-heirs of intolerance and persecution—unresisting victims in the crusade which ignorance and fanaticism are ever waging against science. When great truths are driven to make an appeal to reason, knowledge becomes criminal, and philosophers martyrs. Truth, however, like all moral powers, can neither be checked nor extinguished. When compressed, it but reacts the more. It crushes where it cannot expand—it burns where it is not allowed to shine. Human when originally divulged, it becomes divine when finally established. At first, the breath of a rage—at last it is the edict of a god. Endowed with such vital energy, astronomical truth has cut its way through the thick darkness of superstitious times, and, cheered by its conquests, Geology will find the same open path when it has triumphed over the less formidable obstacles of a civilized age.
David Brewster
[Science] dissipates errors born of ignorance about our true relations with nature, errors the more damaging in that the social order should rest only on those relations. TRUTH! JUSTICE! Those are the immutable laws. Let us banish the dangerous maxim that it is sometimes useful to depart from them and to deceive or enslave mankind to assure its happiness.
Pierre-Simon Laplace
People often mistake their imagination for their heart, & so often are convinced they are converted as soon as they start thinking of becoming converted.
Blaise Pascal
Unfortunately we find systems of education today that have departed so far from the plain truth that they now teach us to be proud of what we know and ashamed of ignorance. This is doubly corrupt. It is corrupt not only because pride is in itself a mortal sin, but also because to teach pride in knowledge is to put an effective barrier against any advance upon what is already known, since it makes one ashamed to look beyond the bounds imposed by one’s ignorance.To any person prepared to enter with respect into the realm of this great and universal ignorance, the secrets of being will eventually unfold, and they will do so in a measure according to his freedom from natural and indoctrinated shame in his respect of their revelation.
George Spencer-Brown
I am sometimes shocked by the blasphemies of those who think themselves pious--for instance, the nuns who never take a bath without wearing a bathrobe all the time. When asked why, since no man can see them, they reply: "Oh, but you forget the good God." Apparently they conceive of the Deity add a Peeping Tom, whose omnipotence enables Him to see through bathroom walls, but who is foiled by bathrobes.
Bertrand Russell
[T]he infliction of cruelty with a good conscience is a delight to moralists. That is why they invented Hell.
Bertrand Russell
It is a natural propensity to attribute misfortune to someone’s malignity. When prices rise, it is due to the profiteer; when wages fall, it is due to the capitalist. Why the capitalist is ineffective when wages rise, and the profiteer when prices fall, the man in the street does not inquire. Nor does he notice that wages and prices rise and fall together. If he is a capitalist, he wants wages to fall and prices to rise; if he is a wage earner, he wants the opposite. When a currency expert tries to explain that profiteers and trade unions and ordinary employers have very little to do with the matter, he irritates everybody, like the man who threw doubt on German atrocities. (In World War I) We do not like to be robbed of an enemy; we want someone to have when we suffer. It is so depressing to think taht we suffer because we are fools; yet taking mankind in mass, that is the truth. For this reason, no political party can acquire any driving force except through hatred; it must hold someone to obloquy. If so-and-so’s wickedness is the sole cause of our misery, let us punish so-and-so and we shall be happy. The supreme example of this kind of political thought was the Treaty of Versailles. Yet most people are only seeking some new scapegoat to replace the Germans.
Bertrand Russell
No doubt there are some who, when confronted with a line of mathematical symbols, however simply presented, can only see the face of a stern parent or teacher who tried to force into them a non-comprehending parrot-like apparent competence--a duty and a duty alone--and no hint of magic or beauty of the subject might be allowed to come through.
Roger Penrose
The power of reason is thought small in these days, but I remain an unrepentant rationalist. Reason may be a small force, but it is constant, and works always in one direction, while the forces of unreason destroy one another in futile strife. Therefore every orgy of unreason in the end strengthens the friends of reason, and shows afresh that they are the only true friends of humanity.
Bertrand Russell
A good expository paper will benefit far more people than most research papers. A good text is worth a thousand of the usual trifles that appear in research journals.
Morris Kline
Man is but a reed, the weakest in nature, but he is a thinking reed.
Blaise Pascal
Never try to discourage thinking, for you are sure to succeed.
Bertrand Russell
The sublime can only be found in the great subjects. Poetry, history and philosophy all have the same object, and a very great object—Man and Nature. Philosophy describes and depicts Nature. Poetry paints and embellishes it. It also paints men, it aggrandizes them, it exaggerates them, it creates heroes and gods. History only depicts man, and paints him such as he is.
Georges-Louis Leclerc
The knowledge of God without that of man's misery causes pride. The knowledge of man's misery without that of God causes despair. The knowledge of Jesus Christ is the middle course, because in Him we find both God and our misery.
Blaise Pascal
If we do not know ourselves to be full of pride, ambition, lust, weakness, misery, and injustice, we are indeed blind. And if, knowing this, we do not desire deliverance, what can we say of a man...?
Blaise Pascal
I always thought they were fabulous monsters!" said the Unicorn. "Is it alive?""It can talk," said Haigha, solemnly.The Unicorn looked dreamily at Alice, and said, "Talk, child."Alice could not help her lips curling up into a smile as she began: "Do you know, I always thought Unicorns were fabulous monsters, too! I never saw one alive before!""Well, now that we have seen each other," said the Unicorn, "if you'll believe in me, I'll believe in you. Is that a bargain?
Lewis Carroll
When I met with Dr. Treffet in his hometown of Fond du Lac, Wisconsin, he told me that these innate skills are, in his words, "factory-installed software", or "genetic" memory.......Why the brain suppresses these remarkable abilities is still a mystery, but sometimes, when the brain is diseased or damaged, it relents and unleashes the inner genius.
Jason Padgett
I never knew what language they'd lapse into when fucked - Urdu or Telugu or a mix of both (only the techies came in English).
Manil Suri
Archimedes will be remembered when Aeschylus is forgotten, because languages die and mathematical ideas do not. “Immortality” may be a silly word, but probably a mathematician has the best chance of whatever it may mean.
G H Hardy
Chemistry has the same quickening and suggestive influence upon the algebraist as a visit to the Royal Academy, or the old masters may be supposed to have on a Browning or a Tennyson. Indeed it seems to me that an exact homology exists between painting and poetry on the one hand and modem chemistry and modem algebra on the other. In poetry and algebra we have the pure idea elaborated and expressed through the vehicle of language, in painting and chemistry the idea enveloped in matter, depending in part on manual processes and the resources of art for its due manifestation.
James Joseph Sylvester
Questions that pertain to the foundations of mathematics, although treated by many in recent times, still lack a satisfactory solution. Ambiguity of language is philosophy's main source of problems. That is why it is of the utmost importance to examine attentively the very words we use.
Giuseppe Peano
Speak English!" said the Eaglet. "I don't know the meaning of half those long words, and, what's more, I don't believe you do either!" And the Eaglet bend down its head to hide a smile: some of the other birds tittered audibly.
Lewis Carroll
Then you should say what you mean," the March Hare went on."I do," Alice hastily replied; "at least-at least I mean what I say-that's the same thing, you know.""Not the same thing a bit!" said the Hatter. "Why, you might just as well say that 'I see what I eat' is the same thing as 'I eat what I see'!""You might just as well say," added the March Hare, "that 'I like what I get' is the same thing as 'I get what I like'!""You might just as well say," added the Dormouse, which seemed to be talking in its sleep, "that 'I breathe when I sleep' is the same thing as 'I sleep when I breathe'!""It is the same thing with you." said the Hatter,
Lewis Carroll
For instance, take the two words "fuming" and "furious." Make up your mind that you will say both words, but leave it unsettled which you will say first. Now open your mouth and speak. If your thoughts incline ever so little towards " fuming," you will say "fuming-furious;" if they turn, by even a hair's breadth, towards "furious," you will say "furious-fuming;" but if you have the rarest of gifts, a perfectly balanced mind, you will say "frumious.
Lewis Carroll
Alice thought to herself, 'Then there's no use in speaking.' The voices didn't join in this time, as she hadn't spoken, but to her great surprise, they all thought in chorus (I hope you understand what thinking in chorus means--for I must confess that I don't), 'Better say nothing at all. Language is worth a thousand pounds a word!
Lewis Carroll
When I use a word,’ Humpty Dumpty said in rather a scornful tone, ‘it means just what I choose it to mean — neither more nor less.’’The question is,’ said Alice, ‘whether you can make words mean so many different things.’’The question is,’ said Humpty Dumpty, ‘which is to be master — that’s all.
Lewis Carroll
For scholars and laymen alike it is not philosophy but active experience in mathematics itself that can alone answer the question: What is mathematics?
Richard Courant
I have a fairy by my side Which says I must not sleep, When once in pain I loudly cried It said "You must not weep" If, full of mirth, I smile and grin, It says "You must not laugh" When once I wished to drink some gin It said "You must not quaff". When once a meal I wished to taste It said "You must not bite" When to the wars I went in haste It said "You must not fight". "What may I do?" at length I cried, Tired of the painful task. The fairy quietly replied, And said "You must not ask". Moral: "You mustn't.
Lewis Carroll
Cruel, Clever Cat.Sally, having swallowed cheese,Directs down holes the scented breeze,Enticing thus with baited breathNice mice to an untimely death.
Geoffrey Taylor
A BOAT beneath a sunny sky,Lingering onward dreamilyIn an evening of July —Children three that nestle near,Eager eye and willing ear,Pleased a simple tale to hear —Long has paled that sunny sky:Echoes fade and memories die:Autumn frosts have slain July.Still she haunts me, phantomwise,Alice moving under skiesNever seen by waking eyes.Children yet, the tale to hear,Eager eye and willing ear,Lovingly shall nestle near.In a Wonderland they lie,Dreaming as the days go by,Dreaming as the summers die:Ever drifting down the stream —Lingering in the golden gleam —Life, what is it but a dream?
Lewis Carroll
The time has come," the walrus said, "to talk of many things: Of shoes and ships - and sealing wax - of cabbages and kings
Lewis Carroll
I have frequently experienced myself the mood in which I felt that all is vanity; I have emerged from it not by any philosophy, but owing to some imperative necessity of action.
Bertrand Russell