Minds On Mathematics Quotes & Sayings

We humans have a wide range of abilities that help us perceive and analyze mathematical content. We perceive abstract notions not just through seeing but also by hearing, by feeling, by our sense of body motion and position. Our geometric and spatial skills are highly trainable, just as in other high-performance activities. In mathematics we can use the modules of our minds in flexible ways - even metaphorically. A whole-mind approach to mathematical thinking is vastly more effective than the common approach that manipulates only symbols. — William Thurston

Its very nature, scientific investigation takes for granted such assumptions as that: there is a physical world existing independently of our minds; this world is characterized by various objective patterns and regularities; our senses are at least partially reliable sources of information about this world; there are objective laws of logic and mathematics that apply to the objective world outside our minds; — Edward Feser

Oh, come to me in dreams, my love!
I will not ask a dearer bliss;
Come with the starry beams, my love,
And press mine eyelids with thy kiss. — Mary Shelley

I mean that they (students) should not play life, or study it merely, while the community supports them at this expensive game, but earnestly live it from beginning to end. How could youths better learn to live than by at once trying the experiment of living? Methinks this would exercise their minds as much as mathematics. — Henry David Thoreau

The power of equations lies in the philosophically difficult correspondence between mathematics, a collective creation of human minds, and an external physical reality. Equations model deep patterns in the outside world. By learning to value equations, and to read the stories they tell, we can uncover vital features of the world around us ... — Ian Stewart

When, at the end of the 1960s, I became interested in the Nazi era, it was a taboo subject in Germany. No one spoke about it anymore, no more in my house than anywhere else. — Anselm Kiefer

A first fact should surprise us, or rather would surprise us if we were not used to it. How does it happen there are people who do not understand mathematics? If mathematics invokes only the rules of logic, such as are accepted by all normal minds ... how does it come about that so many persons are here refractory? — Henri Poincare

Money is a madness, a delusion-illusion. It's not made of metal, really. It's made of time. How much is one's time worth? If one can convince enough people that one's time is an invaluable resource, then one has lots and lots of money. That's why one can spend time - only one can never get a refund. — Jim Butcher

I want a brighter word than bright — John Keats

We can't be impatient with him," I said. "We can't inflict our desperation on him. — M. Pierce

Is it possible for g.r to put the g.r page back into my computer because I lost the data. — Vincent Collins

Galileo showed that the same physical laws that govern the movements of bodies on earth apply aloft , to the celestial spheres; and our astronauts, as we have all now seen, have been transported by those earthly laws to the moon. They will soon be on Mars and beyond. Furthermore, we know that the mathematics of those outermost spaces will already have been computed here on earth by human minds. There are no laws out there that are not right here; no gods out there that are not right here, and not only here, but within us, in our minds. So what happens now to those childhood images of the ascent of Elijah, Assumption of the Virgin, Ascension of Christ - all bodily - into heaven? — Joseph Campbell

Mathematics, mostly, is a communal enterprise, each advance the product of a huge network of minds working toward a common purpose, even if we accord special honor to the person who places the last stone in the arch. — Jordan Ellenberg

Mathematics, as much as music or any other art, is one of the means by which we rise to a complete self-consciousness. The significance of mathematics resides precisely in the fact that it is an art; by informing us of the nature of our own minds it informs us of much that depends on our minds. — Antoine Thomson D'Abbadie

A great deal of thought is only a substitute for the thoughts that the individual would really find useful at the time. — Idries Shah

How then shall mathematical concepts be judged? They shall not be judged. Mathematics is the supreme arbiter. From its decisions there is no appeal. We cannot change the rules of the game, we cannot ascertain whether the game is fair. We can only study the player at his game; not, however, with the detached attitude of a bystander, for we are watching our own minds at play. — David Van Dantzig

Things were changing; I was changing. All swelling limbs and sweating brain, suddenly I had more body than I knew what to do with. Arms and legs became the prey of low desktops and narrow corridors, were ambushed by sharp corners. Mr Baxter ignored my plight. Bodies were inimical to mathematics, or so we were led to believe. Bad hair, acrid breath, lumpy skin, all vanished for an hour every Tuesday and Thursday. Young minds in the buff soared into the sphere of pure reason. Pages turned to parallelograms; cities, circumferences; recipes, ratios. Shorn of our bearings, we groped our way around in this rarefied air. — Daniel Tammet

Poor teaching leads to the inevitable idea that the subject (mathematics) is only adapted to peculiar minds, when it is the one universal science and the one whose four ground-rules are taught us almost in infancy and reappear in the motions to the universe. — Henry John Stephen Smith

Spiritual meditation is the pathway to Divinity. It is a mystic ladder which reaches from earth to heaven, from error to Truth, from pain to peace. — James Allen

On sighting mathematicians poetry should unhook the algebra from their minds and replace it with poetry; on sighting poets it should unhook poetry from their minds and replace it with algebra. — Brian Patten

Mathematics has always shown a curious ability to be applicable to nature, and this may express a deep link between our minds and nature. We are the Universe speaking out, a part of nature. So it is not so surprising that our systems of logic and mathematics sing in tune with nature. — George Zebrowski

Most books are bought by women. — Gloria Steinem

Q. You do not consider your statement a disloyal one?
A. No, sir. Scientific truth is beyond loyalty and disloyalty.
Q. Can you prove that this mathematics is valid?
A. Only to another mathematician.
Q. Your claim then is that your truth is of so esoteric a nature that it is beyond the understanding of a plain man. It seems to me that truth should be clearer than that, less mysterious, more open to the mind.
A. It presents no difficulties to some minds. The physics of energy transfer, which we know as thermodynamics, has been clear and true through all the history of man since the mythical ages, yet there may be people present who would find it impossible to design a power engine. People of high intelligence, too. — Isaac Asimov

When a man does exactly what a woman expects him to do she doesn't think much of him. One should always do what a woman doesn't expect, just as one should say what she doesn't understand. — Oscar Wilde

The main duty of the historian of mathematics, as well as his fondest privilege, is to explain the humanity of mathematics, to illustrate its greatness, beauty and dignity, and to describe how the incessant efforts and accumulated genius of many generations have built up that magnificent monument, the object of our most legitimate pride as men, and of our wonder, humility and thankfulness, as individuals. The study of the history of mathematics will not make better mathematicians but gentler ones, it will enrich their minds, mellow their hearts, and bring out their finer qualities. — George Sarton

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 Poincare

It is a melancholy experience for a professional mathematician to find himself writing about mathematics. The function of a mathematician is to do something, to prove new theorems, to add to mathematics, and not to talk about what he or other mathematicians have done. Statesmen despise publicists, painters despise art-critics, and physiologists, physicists, or mathematicians have usually similar feelings: there is no scorn more profound, or on the whole more justifiable, than that of the men who make for the men who explain. Exposition, criticism, appreciation, is work for second-rate minds. — G.H. Hardy

To understand the man you have to know what was happening in the world when he was twenty. — Napoleon Bonaparte

But love was not about practice or preparation, it was pure chance; if you took your time with it you ran the risk of having it evaporate before it had even begun — Alice Hoffman

Some of the greatest mathematical minds of all ages, from Pythagoras and Euclid in ancient Greece, through the medieval Italian mathematician Leonardo of Pisa and the Renaissance astronomer Johannes Kepler, to present-day scientific figures such as Oxford physicist Roger Penrose, have spent endless hours over this simple ratio and its properties. But the fascination with the Golden Ratio is not confined just to mathematicians. Biologists, artists, musicians, historians, architects, psychologists, and even mystics have pondered and debated the basis of its ubiquity and appeal. In fact, it is probably fair to say that the Golden Ratio has inspired thinkers of all disciplines like no other number in the history of mathematics. — Mario Livio