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Quotes by Mathematicians - Page 9

If after hearing my songs just one human being is inspired to say something nasty to a friend or perhaps to strike a loved one it will all have been worth the while.
Tom Lehrer
To make a man a saint, it must indeed be by grace; and whoever doubts this does not know what a saint is, or a man.
Blaise Pascal
Scientific discovery consists in the interpretation for our own convenience of a system of existence which has been made with no eye to our convenience at all.
Norbert Wiener
Hold on hold fast hold out. Patience is genius.
Georges de Buffon
All right," said the Cat; and this time it vanished quite slowly, beginning with the end of the tail, and ending with the grin, which remained some time after the rest of it had gone.
Lewis Carroll
I am myself a dissenter from all known religions, and I hope that every kind of religious belief will die out. I do not believe that, on the balance, religious belief has been a force for good. Although I am prepared to admit that in certain times and places it has had some good effects, I regard it as belonging to the infancy of human reason, and to a stage of development which we are now outgrowing.
Bertrand Russell
The beauty in the genome is of course that it's so small. The human genome is only on the order of a gigabyte of data...which is a tiny little database. If you take the entire living biosphere, that's the assemblage of 20 million species or so that constitute all the living creatures on the planet, and you have a genome for every species the total is still about one petabyte, that's a million gigabytes - that's still very small compared with Google or the Wikipedia and it's a database that you can easily put in a small room, easily transmit from one place to another. And somehow mother nature manages to create this incredible biosphere, to create this incredibly rich environment of animals and plants with this amazingly small amount of data.
Freeman Dyson
what is the use of a book,' thought Alice, 'without pictures or conversations?'"- Lewis Carroll, Alice in Wonderland, Ch. 1
Lewis Carroll
Every reader his or her book.Every book its reader.
S.R. Ranganathan
The majority is the best way because it is visible and has strength to make itself obeyed. Yet it is the opinion of the least able.
Blaise Pascal
No Ghost of any common sense begins a conversation
Lewis Carroll
It does appear that some parts of our evolutionary process seem inevitable. It is striking that throughout evolutionary history, the eye evolved independently fifty to a hundred times. This is strong evidence for the fact that the different rolls of the dice that have occurred across different species seem to have produced species with eyes regardless of what is going on around them. Lots of other examples illustrate how some features, if they are advantageous, seem to rise to the top of the evolutionary swamp. This is illustrated every time you see the same feature appearing more than once in different parts of the animal kingdom. Dolphins and bats, for example, use echolocation, but they evolved this trait independently at very different points on the evolutionary tree.
Marcus du Sautoy
The poem or the discovery exists in two moments of vision: the moment of appreciation as much as that of creation; for the appreciator must see the movement, wake to the echo which was started in the creation of the work. In the moment of appreciation we live again the moment when the creator saw and held the hidden likeness. When a simile takes us aback and persuades us together, when we find a juxtaposition in a picture both odd and intriguing, when a theory is at once fresh and convincing, we do not merely nod over someone else's work. We re-enact the creative act, and we ourselves make the discovery again......Reality is not an exhibit for man's inspection, labeled: "Do not touch." There are no appearances to be photographed, no experiences to be copied, in which we do not take part. We re-make nature by the act of discovery, in the poem or in the theorem. And the great poem and the deep theorem are new to every reader, and yet are his own experiences, because he himself re-creates them. They are the marks of unity in variety; and in the instant when the mind seizes this for itself, in art or in science, the heart misses a beat.
Jacob Bronowski
Со своей стороны, я предпочитаю онтологическое доказательство [существования Бога], космологическое доказательство и остальной старый запас аргументов той сентиментальной нелогичности, которая берет начало от Руссо. Старые доказательства были по крайней мере честными; если они правильные, то они доказывали свою точку зрения, если они неправильные, то для любой критики доступно доказать это. Но новая теология сердца отказывается от доказательства; она не может быть отвергнута, потому что она не претендует на доказательство своей точки зрения. В конечном счете единственным основанием для ее принятия оказывается то, что она позволяет нам предаваться приятным грезам. Это не заслуживающая уважения причина, и, если бы я выбирал между Фомой Аквинским и Руссо, я выбрал бы Фому Аквинского.
Bertrand Russell
Education with inert ideas is not only useless it is above all things harmful.
Alfred North Whitehead
For any scientist the real challenge is not to stay within the secure garden of the known but to venture out into the wilds of the unknown.
Marcus du Sautoy
The present is great with the future
Baron von Leibnitz
This is the concentration camp and crematorium at Auschwitz. This is where people were turned into numbers. Into this pond were flushed the ashes of some four million people. And that was not done by gas. It was done by arrogance. It was done by dogma. It was done by ignorance. When people believe that they have absolute knowledge, with no test in reality, this is how they behave.
Jacob Bronowski
... who can forget the amazement of a child balancing an adult on a see-saw, simply by being placed at the right position. How could this be? Where did all that extra force come from!?The only wonder nowadays is that a physics student is unlikely to produce a satisfactory answer to this question. Perhaps we will be offered a few mumblings about moments, force times distance, laws of the lever perhaps even the "principle of virtual work". But we probably won't get an answer that seems to explain where that extra force comes from; and it is highly unlikely that we will get an answer that begins by establishing principles about rigid bodies, even though the rigidity of the lever is an absolute necessity for it to work.In fact, the whole path from Newton's Laws, which basically concern "point masses", to bodies whose shape and extent are significant, is often rather dubiously traversed, even though elementary physics courses blithely pose such problems of the most diverse sorts.
Michael Spivak
Why it's simply impassible!Alice: Why, don't you mean impos
Lewis Carroll
There cannot be a language more universal and more simple, more free from errors and obscurities...more worthy to express the invariable relations of all natural things [than mathematics]. [It interprets] all phenomena by the same language, as if to attest the unity and simplicity of the plan of the universe, and to make still more evident that unchangeable order which presides over all natural causes
Joseph Fourier
Where there is no mathematics, there is no freedom.
Edward Frenkel
No religion except ours has taught that man is born in sin none of the philosophical sects has admitted it none therefore has spoken the truth
Blaise Pascal
although we very clearly see the sun, we ought not therefore to determine that it is only of the size which our sense of sight presents; and we may very distinctly imagine the head of a lion joined to the body of a goat, without being therefore shut up to the conclusion that a chimaera exists; for it is not a dictate of reason that what we thus see or imagine is in reality existent; but it plainly tells us that all our ideas or notions contain in them some truth.
René Descartes
There was never any reason to believe in any innate superiority of the male except his superior muscle.
Bertrand Russell
What is morality in any given time or place? It is what the majority then and there happen to like and immorality is what they dislike.
Alfred North Whitehead
What I tell you three times is true.
Lewis Carroll
The ‘seriousness’ of a mathematical theorem lies, not in its practical consequences, which are usually negligible, but in the significance of the mathematical ideas which it connects. We may say, roughly, that a mathematical idea is ‘significant’ if it can be connected, in a natural and illuminating way, with a large complex of other mathematical ideas. Thus a serious mathematical theorem, a theorem which connects significant ideas, is likely to lead to important advances in mathematics itself and even in other sciences.
G H Hardy
The dreams we imagine when we are asleep should not in any way make us doubt the truth of the thoughts we have when we are awake.
René Descartes
...The existence or non-existence of an undefined 'god' are quite poin
Herman Bondi
He no longer loves the person whom he loved ten years ago. I quite believe it. She is no longer the same, nor is he. He was young, and she also; she is quite different. He would perhaps love her yet, if she were what she was then.
Blaise Pascal
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
If you drink much from a bottle marked 'poison' it is certain to disagree with you sooner or later.
Lewis Carroll
Collective fear stimulates herd instinct, and tends to produce ferocity toward those who are not regarded as members of the herd.
Bertrand Russell
Let craft, ambition, spite, Be quenched in Reason's night, Till weakness turn to might, Till what is dark be light, Till what is wrong be right!
Lewis Carroll
They dispute not in order to find or even to seek Truth, but for victory, and to appear the more learned and strenuous upholders of a contrary opinion. Such persons should be avoided by all who have not a good breastplate of patience.
Giordano Bruno
I have only made this letter rather long because I have not had time to make it shorter.
Blaise Pascal
Routine is the god of every social system it is the seventh heaven of business the essential component in the success of every factory the ideal of every statesman.
Alfred North Whitehead
Nothing takes place in the world whose meaning is not that of some maximum or minimum.
Leonhard Euler
The world is full of magical things patiently waiting for our wits to grow sharper.
Bertrand Russell
Every maker of video games knows something that the makers of curriculum don't seem to understand. You'll never see a video game being advertised as being easy. Kids who do not like school will tell you it's not because it's too hard. It's because it's--boring
Seymour Papert
Mathematics is the most exact science, and its conclusions are capable of absolute proof. But this is so only because mathematics does not attempt to draw absolute conclusions. All mathematical truths are relative, conditional.
Charles Proteus Steinmetz
Continuity of purpose is one of the most essential ingredients of happiness in the long run and for most men this comes chiefly through their work.
Bertrand Russell
It is impossible on reasonable grounds to disbelieve miracles.
Blaise Pascal
We have two kinds of morality side by side: one which we preach but do not practice and the other which we practice but seldom preach.
Bertrand Russell
For, occupied incessantly with the consideration of the limits prescribed to their power by nature, they [philosophers of former times] became so entirely convinced that nothing was at their disposal except their own thoughts, that this conviction was of itself sufficient to prevent their entertaining any desire of other objects; and over their thoughts they acquired a sway so absolute, that they had some ground on this account for esteeming themselves more rich and more powerful, more free and more happy, than other men who, whatever be the favors heaped on them by nature and fortune, if destitute of this philosophy, can never command the realization of all their desires.
René Descartes
The apex of mathematical achievement occurs when two or more fields which were thought to be entirely unrelated turn out to be closely intertwined. Mathematicians have never decided whether they should feel excited or upset by such events.
Gian-Carlo Rota
How is it that there are so many minds that are incapable of understanding mathematics? ... the skeleton of our understanding, ... and actually they are the majority. ... We have here a problem that is not easy of solution, but yet must engage the attention of all who wish to devote themselves to education.
Henri Poincaré
Everything 'happens'. People can 'do' nothing. From the time we are born to the time we die things happen, happen, happen, and we think we are doing. This is our normal state in life, and even the smallest possibility to do something comes only through the work, and first only in oneself, not externally.
P.D. Ouspensky
In the Second World War he took no public part, having escaped to a neutral country just before its outbreak. In private conversation he was wont to say that homicidal lunatics were well employed in killing each other, but that sensible men would keep out of their way while they were doing it. Fortunately this outlook, which is reminiscent of Bentham, has become rare in this age, which recognizes that heroism has a value independent of its utility. The Last Survivor of a Dead Epoch
Bertrand Russell
Freedom of opinion can only exist when the government thinks itself secure.
Bertrand Russell
Information is information, not matter or energy.
Norbert Wiener
Among the objections to the reality of objects of sense, there is one which is derived from the apparent difference between matter as it appears in physics and things as they appear in sensation. Men of science, for the most part, are willing to condemn immediate data as "merely subjective," while yet maintaining the truth of the physics inferred from those data. But such an attitude, though it may be *capable* of justification, obviously stands in need of it; and the only justification possible must be one which exhibits matter as a logical construction from sense-data―unless, indeed, there were some wholly *a priori* principle by which unknown entities could be inferred from such as are known. It is therefore necessary to find some way of bridging the gulf between the world of physics and the world of sense, and it is this problem which will occupy us in the present lecture. Physicists appear to be unconscious of the gulf, while psychologists, who are conscious of it, have not the mathematical knowledge required for spanning it. The problem is difficult, and I do not know its solution in detail. All that I can hope to do is to make the problem felt, and to indicate the kind of methods by which a solution is to be sought."―from_Our Knowledge of the External World_, p. 107.
Betrand Russell
Sky-bound was the mind, Earth-bound the body rests
Johannes Kepler
Neither love without knowledge nor knowledge without love can produce a good life.
Bertrand Russell
After the discovery of spectral analysis no one trained in physics could doubt the problem of the atom would be solved when physicists had learned to understand the language of spectra. So manifold was the enormous amount of material that has been accumulated in sixty years of spectroscopic research that it seemed at first beyond the possibility of disentanglement. An almost greater enlightenment has resulted from the seven years of Röntgen spectroscopy, inasmuch as it has attacked the problem of the atom at its very root, and illuminates the interior. What we are nowadays hearing of the language of spectra is a true 'music of the spheres' in order and harmony that becomes ever more perfect in spite of the manifold variety. The theory of spectral lines will bear the name of Bohr for all time. But yet another name will be permanently associated with it, that of Planck. All integral laws of spectral lines and of atomic theory spring originally from the quantum theory. It is the mysterious organon on which Nature plays her music of the spectra, and according to the rhythm of which she regulates the structure of the atoms and nuclei.
Arnold Sommerfeld
Faith is a gift of God.
Blaise Pascal
am i insane" asked alice"yes, but all the best people are" replied her father
Lewis Carroll
A sense of duty is useful in work but offensive in personal relations. People wish to be liked not endured with patient resignation.
Bertrand Russell
Our intellect holds the same position in the world of thought as our body occupies in the expanse of nature.
Blaise Pascal
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