Quotes by Mathematicians - Page 19

If non-linear leaps in intelligence and ability are possible, why haven't these effects been observed in our schools? I believe the answer lies in the profound inertia of human thought: when an entire society believes something is impossible, it suppresses, by its very way of life, the evidence that would contradict that belief.
John Mighton
[I]n any profession the highest order of work is achieved, not by fussy empirical demands for 'something to be done,' but by patient study of the eternal laws.
Henry Whitehead
A good scientist is a person with original ideas. A good engineer is a person who makes a design that works with as few original ideas as possible.
Freeman Dyson
Constrained optimization is the art of compromise between conflicting objectives. This is what design is all about. To find fault with biological design - as Stephen Jay Gould regularly does - because it misses some idealized optimum is therefore gratuitous. Not knowing the objectives of the designer, Gould is in no position to say whether the designer has proposed a faulty compromise among those objectives.
William A. Dembski
Even if the intelligent design of some structure has been established, it still is a separate question whether a wise, powerful, and beneficent God ought to have designed a complex, information-rich structure one way or another. For the sake of argument, let's grant that certain designed structures are not simply, as Gould put it, "odd" or "funny," but even cruel. What of it? Philosophical theology has abundant resources for dealing with the problem of evil, maintaining a God who is both omnipotent and benevolent in the face of evil.
William A. Dembski
Before you can ask 'Is Darwinian theory correct or not?', You have to ask the preliminary question 'Is it clear enough so that it could be correct?'. That's a very different question. One of my prevailing doctrines about Darwinian theory is 'Man, that thing is just a mess. It's like looking into a room full of smoke.' Nothing in the theory is precisely, clearly, carefully defined or delineated. It lacks all of the rigor one expects from mathematical physics, and mathematical physics lacks all the rigor one expects from mathematics. So we're talking about a gradual descent down the level of intelligibility until we reach evolutionary biology.
David Berlinski
Even if we have a reliable criterion for detecting design, and even if that criterion tells us that biological systems are designed, it seems that determining a biological system to be designed is akin to shrugging our shoulders and saying God did it. The fear is that admitting design as an explanation will stifle scientific inquiry, that scientists will stop investigating difficult problems because they have a sufficient explanation al
William A. Dembski
With great power comes great dissipation.
Timothy Poston
We have a closed circle of consistency here: the laws of physics produce complex systems, and these complex systems lead to consciousness, which then produces mathematics, which can then encode in a succinct and inspiring way the very underlying laws of physics that gave rise to it.
Roger Penrose
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 establish evolutionary interrelatedness invariably requires exhibiting similarities between organisms. Within Darwinism, there's only one way to connect such similarities, and that's through descent with modification driven by the Darwinian mechanism. But within a design-theoretic framework, this possibility, though not precluded, is also not the only game in town. It's possible for descent with modification instead to be driven by telic processes inherent in nature (and thus by a form of design). Alternatively, it's possible that the similarities are not due to descent at all but result from a similarity of conception, just as designed objects like your TV, radio, and computer share common components because designers frequently recycle ideas and parts. Teasing apart the effects of intelligent and natural causation is one of the key questions confronting a design-theoretic research program. Unlike Darwinism, therefore, intelligent design has no immediate and easy answer to the question of common descent.Darwinists necessarily see this as a bad thing and as a regression to ignorance. From the design theorists' perspective, however, frank admissions of ignorance are much to be preferred to overconfident claims to knowledge that in the end cannot be adequately justified. Despite advertisements to the contrary, science is not a juggernaut that relentlessly pushes back the frontiers of knowledge. Rather, science is an interconnected web of theoretical and factual claims about the world that are constantly being revised and for which changes in one portion of the web can induce radical changes in another. In particular, science regularly confronts the problem of having to retract claims that it once confidently asserted.
William A. Dembski
The meaning of world is the separation of wish and fact.
Kurt Gödel
The very comprehensibility of the world points to an intelligence behind the world. Indeed, science would be impossible if our intelligence were not adapted to the intelligibility of the world. The match between our intelligence and the intelligibility of the world is no accident. Nor can it properly be attributed to natural selection, which places a premium on survival and reproduction and has no stake in truth or conscious thought. Indeed, meat-puppet robots are just fine as the output of a Darwinian evolutionary process.
William A. Dembski
How came the bodies of animals to be contrived with so much art, and for what ends were their several parts?Was the eye contrived without skill in Opticks, and the ear without knowledge of sounds?...and these things being rightly dispatch’d, does it not appear from phænomena that there is a Being incorporeal, living, intelligent...?
Isaac Newton
Blind metaphysical necessity, which is certainly the same always and every where, could produce no variety of things. All that diversity of natural things which we find suited to different times and places could arise from nothing but the ideas and will of a Being, necessarily existing.
Isaac Newton
Whenever explaining an event, we must choose from three competing modes of explanation. These are regularity, chance, and design... To attribute an event to design is to say that it cannot reasonably be referred to either regularity or chance.
William A. Dembski
Science is my territory, but science fiction is the landscape of my dreams.
Freeman Dyson
Mathematics is the cheapest science. Unlike physics or chemistry, it does not require any expensive equipment. All one needs for mathematics is a pencil and paper.
George Pólya
The real difficulty about volcanism is not to see how it can start, but how it can stop.
Harold Jeffreys
Regardless of one's point of view, it's quite easy to see that Darwinism is not in the same league as the hard sciences. For instance, Darwinists will often compare their theory favorably to Einsteinian physics, claiming that Darwinism is just as well established as general relativity. Yet how many physicists, while arguing for the truth of Einsteinian physics, will claim that general relativity is as well established as Darwin’s theory? Zero.
William A. Dembski
Give me the positions and velocities of all the particles in the universe, and I will predict the future.
Marquis Pierre Simon de Laplace
The essential fact which emerges ... is that the three smallest and most active reservoirs ( of carbon in the global carbon cycle), the atmosphere, the plants and the soil, are all of roughly the same size. This means that large human disturbance of any one of these reservoirs will have large effects on all three. We cannot hope either to understand or to manage the carbon in the atmosphere unless we understand and manage the trees and the soil too.
Freeman Dyson
When the time is ripe for certain things, these things appear in different places in the manner of violets coming to light in early spring.
Farkas Bolyai
The fundamental claim of intelligent design is straightforward and easily intelligible: namely, there are natural systems that cannot be adequately explained in terms of undirected natural forces and that exhibit features which in any other circumstance we would attribute to intelligence.
William A. Dembski
There are no foolish questions and no man becomes a fool until he has stopped asking questions.
Charles Proteus Steinmetz
Science, like art, is not a copy of nature but a re-creation of her.
Jacob Bronowski
It is of great advantage to the student of any subject to read the original memoirs on that subject, for science is always most completely assimilated when it is in the nascent state...
James Clerk Maxwell
The study of mathematics is apt to commence in disappointment... We are told that by its aid the stars are weighed and the billions of molecules in a drop of water are counted. Yet, like the ghost of Hamlet's father, this great science eludes the efforts of our mental weapons to grasp it.
Alfred North Whitehead
This seems charmingly paradoxical: scientists seek one truth but often voice many opinions journalists often speak of many truths while voicing a uniform view.
Christopher Essex
The isolated man does not develop any intellectual power. It is necessary for him to be immersed in an environment of other men, whose techniques he absorbs during the first twenty years of his life. He may then perhaps do a little research of his own and make a very few discoveries which are passed on to other men. From this point of view the search for new techniques must be regarded as carried out by the human community as a whole, rather than by individuals.
Alan Turing
Aristotle maintained that women have fewer teeth than men; although he was twice married, it never occurred to him to verify this statement by examining his wives' mouths.
Bertrand Russell
Discover the force of the skies O Men: once recognised it can be put to use.
Johannes Kepler
I used to measure the skies, now I measure the shadows of Earth.Although my mind was sky-bound, the shadow of my body lies
Johannes Kepler
If our brains were simple enough for us to understand them, we'd be so simple that we couldn't.
Ian Stewart
It is our task, both in science and in society at large, to prove the conventional wisdom wrong and to make our unpredictable dreams come true
Freeman Dyson
It is not what the man of science believes that distinguishes him, but how and why he believes it. His beliefs are tentative, not dogmatic; they are based on evidence, not on authority or intuition.
Bertrand Russell
When things get too complicated, it sometimes makes sense to stop and wonder: Have I asked the right question?
Enrico Bombieri
Big whirls have little whirls,That feed on their velocity;And little whirls have lesser whirls,And so on to viscosity.
Lewis Fry Richardson
Maybe you who condemn me are in greater fear than I who am condemned.
Giordano Bruno
The thing is, it's very dangerous to have a fixed idea. A person with a fixed idea will always find some way of convincing himself in the end that he is right
Atle Selberg
We ought not to ask why the human mind troubles to fathom the secrets of the universe. The diversity of the phenomena of nature is so great, and the treasures hidden in the skies so rich, precisely in order that the human mind shall never be lacking in fresh nourishment.
Johannes Kepler
I believe that at the end of the century the use of words and general educated opinion will have altered so much that one will be able to speak of machines thinking without expecting to be contradicted.
Alan Turing
Science is what you know, philosophy is what you don't know
Bertrand Russell
What goes up must come down.
Isaac Newton
But in my opinion, all things in nature occur mathematically.
René Descartes
Even if the open windows of science at first make us shiver after the cozy indoor warmth of traditional humanizing myths, in the end the fresh air brings vigor, and the great spaces have a splendor of their own.
Bertrand Russell
We know very little, and yet it is astonishing that we know so much, and still more astonishing that so little knowledge can give us so much power.
Bertrand Russell
If I have seen further it is by standing on the shoulders of Giants.
Isaac Newton
There are men and gods, and beings like Pythagoras.
Pythagoras
What do you suppose is the use of a child without any meaning? Even a joke should have some meaning-- and a child's more imporant than a joke, I hope. You couldn't deny that, even if you tried with both hands.
Lewis Carroll
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
Must a name mean something?" Alice asked doubtfully.Of course it must," Humpty Dumpty said with a short laugh; "my name means the shape I am - and a good handsome shape it is, too. With a name like yours, you might be any shape, almost.
Lewis Carroll
Our great democracies still tend to think that a stupid man is more likely to be honest than a clever man, and our politicians take advantage of this prejudice by pretending to be even more stupid than nature made them.
Bertrand Russell
Be what you would seem to be - or, if you'd like it put more simply - never imagine yourself not to be otherwise than what it might appear to others that what you were or might have been was not otherwise than what you had been would have appeared to them to be otherwise.
Lewis Carroll
Why it's simply impassible!Alice: Why, don't you mean impos
Lewis Carroll
We are not the stuff that abides, but patternsthat perpetuate themselves.
Norbert Wiener
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
Men spend their time in following a ball or a hare it is the pleasure even of kings.
Blaise Pascal
Please give it up. Fear it no less than the sensual passion, because it, too, may take up all your time and deprive you of your health, peace of mind and happiness in life.[Having himself spent a lifetime unsuccessfully trying to prove Euclid's postulate that parallel lines do not meet, Farkas discouraged his son János from any further attempt.]
Farkas Bolyai
Alice sighed wearily. `I think you might do something better with the time,' she said, `than waste it in asking riddles that have no answers.'`If you knew Time as well as I do,' said the Hatter, `you wouldn't talk about wasting it. It's him.'`I don't know what you mean,' said Alice.`Of course you don't!' the Hatter said, tossing his head contemptuously. `I dare say you never even spoke to Time!'`Perhaps not,' Alice cautiously replied: `but I know I have to beat time when I learn music.'`Ah! that accounts for it,' said the Hatter. `He won't stand beating. Now, if you only kept on good terms with him, he'd do almost anything you liked with the clock. For instance, suppose it were nine o'clock in the morning, just time to begin lessons: you'd only have to whisper a hint to Time, and round goes the clock in a twinkling! Half-past one, time for dinner!
Lewis Carroll