Mathematician And Their Quotes & Sayings

The constructs of the mathematical mind are at the same time free and necessary. The individual mathematician feels free to define his notions and set up his axioms as he pleases. But the question is will he get his fellow mathematician interested in the constructs of his imagination. We cannot help the feeling that certain mathematical structures which have evolved through the combined efforts of the mathematical community bear the stamp of a necessity not affected by the accidents of their historical birth. — Hermann Weyl

In many cases, mathematics is an escape from reality. The mathematician finds his own monastic niche and happiness in pursuits that are disconnected from external affairs. Some practice it as if using a drug. Chess sometimes plays a similar role. In their unhappiness over the events of this world, some immerse themselves in a kind of self-sufficiency in mathematics. (Some have engaged in it for this reason alone.) — Stanislaw Ulam

In music, musicians must be able to read musical notes and have developed the skill to follow the music from their studies. This skill allows them to read new musical notes and be capable of hearing most or all of the sounds (melodies, harmonies, etc.) in their head without having to play the music piece. By analogy, in Mathematics, we believe a scientist, engineer or mathematician must be able to read and understand mathematical codes (e.g., Maple, Mathematica) in their head without having to execute the problem. — Inna K. Shingareva

I've approached music with the understanding that knowledge is available regarding tones and their effect upon the body. I think the father of that knowledge was the mathematician Pythagoras who lived several thousand years ago. Pythagoras was also a fine musician and he knew specifically what tones would affect which parts of the body. — Paul Horn

It is well known that geometry presupposes not only the concept of space but also the first fundamental notions for constructions in space as given in advance. It only gives nominal definitions for them, while the essential means of determining them appear in the form of axioms. The relationship of these presumptions is left in the dark; one sees neither whether and in how far their connection is necessary, nor a priori whether it is possible. From Euclid to Legendre, to name the most renowned of modern writers on geometry, this darkness has been lifted neither by the mathematicians nor the philosophers who have laboured upon it. — Bernhard Riemann

When it was first proposed to establish laboratories at Cambridge, Todhunter, the mathematician, objected that it was unnecessary for students to see experiments performed, since the results could be vouched for by their teachers, all of them of the highest character, and many of them clergymen of the Church of England. — Bertrand Russell

Each generation has its few great mathematicians, and mathematics would not even notice the absence of the others. They are useful as teachers, and their research harms no one, but it is of no importance at all. A mathematician is great or he is nothing. — Alfred Adler

If he would just work with pure ideas like a proper mathematician he could go as fast as thought. As it happens, Alan has become fascinated by the incarnations of pure ideas in the physical world. The underlying math of the universe is like the light streaming in through the window. Alan is not satisfied with merely knowing that it streams in. He blows smoke into the air to make the light visible. He sits in meadows gazing at pine cones and flowers, tracing the mathematical patterns in their structure, and he dreams about electron winds blowing over the glowing filaments and screens of radio tubes, and, in their surges and eddies, capturing something of what is going on in his own brain. Turing is neither a mortal nor a god. He is Antaeus. That he bridges the mathematical and physical worlds is his strength and his weakness. — Neal Stephenson

When a mathematician engaged in investigating physical actions and results has arrived at his own conclusions, may they not be expressed in common language as fully, clearly, and definitely as in mathematical formulae? If so, would it not be a great boon to such as well to express them so
translating them out of their hieroglyphics that we might also work upon them by experiment? — Michael Faraday

If present trends continue, our country may soon find itself far behind many other nations in both science and technology nations where, if you inform strangers that you are a mathematician, they respond with admiration and not by telling you how much they hated math in school, and how they sure could use you to balance their checkbooks. — Martin Gardner

In her most recent project, she tested 356 children, ages five to ten, who were brought to Monell to determine their "bliss point" for sugar31. The bliss point is the precise amount of sweetness - no more, no less - that makes food and drink most enjoyable. She was finishing up this project in the fall of 2010 when she agreed to show me some of the methods she had developed. Before we got started, I did a little research on the term bliss point itself. Its origins are murky, having some roots in economic theory. In relation to sugar, however, the term appears to have been coined in the 1970s by a Boston mathematician named Joseph Balintfy, who used computer modeling to predict eating behavior. The concept has obsessed the food industry ever since. — Michael Moss

That's my mathematician who examines problems which I put before him and checks their validity. You see, I am not myself a good mathematician. — Albert Einstein

An axiomatic system comprises axioms and theorems and requires a certain amount of hand-eye coordination before it works. A formal system comprises an explicit list of symbols, an explicit set of rules governing their cohabitation, an explicit list of axioms, and, above all, an explicit list of rules explicitly governing the steps that the mathematician may take in going from assumptions to conclusions. No appeal to meaning nor to intuition. Symbols lose their referential powers; inferences become mechanical. — David Berlinski

Our major claims in this book are radical but true: Nearly all important thinking takes place outside of consciousness and is not available on introspection; the mental feats we think of as the most impressive are trivial compared to everyday capacities; the imagination is always at work in ways that consciousness does not apprehend; consciousness can glimpse only a few vestiges of what the mind is doing; the scientist, the engineer, the mathematician, and the economist, impressive as their knowledge and techniques may be, are also unaware of how they are thinking and, even though they are experts, will not find out just by asking themselves. — Gilles Fauconnier

The future mathematician ... should solve problems, choose the problems which are in his line, meditate upon their solution, and invent new problems. By this means, and by all other means, he should endeavor to make his first important discovery: he should discover his likes and dislikes, his taste, his own line. — George Polya

The dreamers dream from the neck up, their bodies securely strapped to the electric chair. To imagine a new world is to live it daily, each thought, each glance, each step, each gesture killing and recreating, death always a step in advance. To spit on the past is not enough. To proclaim the future is not enough. One must act as if the past were dead and the future unrealizable. One must act as if the next step were the last, which it is. Each step forward is the last, and with it a world dies, one's self included. We are here of the earth never to end, the past
never ceasing, the future never beginning, the present never ending. The never-never world which we hold in our hands and see and yet is not ourselves. We are that which is never
concluded, never shaped to be recognized, all there is and yet not the whole, the parts so much greater than the whole that only God the mathematician can figure it out. — Henry Miller

She trained the girls in her Girl Scout troop to believe that they could be anything, and she went to lengths to prevent negative stereotypes of their race from shaping their internal views of themselves and other Negroes. It was difficult enough to rise above the silent reminders of Colored signs on the bathroom doors and cafeteria tables. But to be confronted with the prejudice so blatantly, there in that temple to intellectual excellence and rational thought, by something so mundane, so ridiculous, so universal as having to go to the bathroom...In the moment when the white women laughed at her, Mary had been demoted from professional mathematician to a second-class human being, reminded that she was a black girl whose piss wasn't good enough for the white pot. — Margot Lee Shetterly

On foundations we believe in the reality of mathematics, but of course, when philosophers attack us with their paradoxes, we rush to hide behind formalism and say 'mathematics is just a combination of meaningless symbols,' ... Finally we are left in peace to go back to our mathematics and do it as we have always done, with the feeling each mathematician has that he is working with something real. The sensation is probably an illusion, but it is very convenient. — Jean Dieudonne

In terms of the mathematician's beliefs about the nature of mathematics and its influence on their research, the study revealed that four of the mathematicians leaned towards Platonism, in contrast to the popular notion that Platonism is an exception today. A detailed discussion of this aspect of the research is beyond the scope of this paper; however, I have found that beliefs regarding the nature of mathematics not only influenced how these mathematicians conducted research but also were deeply connected to their theological beliefs (Sriraman, 2004a). — Bharath Sriraman

Mankind has moved away from the heart of the world to the logic of the mind, and their belief is in the chemist, the physicist, and the mathematician. Science has proven to them that all this ancient belief in ceremony is simply ignorance. — Drunvalo Melchizedek

I stayed with him for three days, and he then asked: 'Do you know any craft by which to make your living?' I told him: 'I am a lawyer, a scientist, a scribe, a mathematician and a calligrapher.' 'There is no market for that kind of thing here,' he replied. 'No one in this city has any knowledge of science or of writing and their only concern is making money.' 'By God,' I said, 'I know nothing apart from what I have told you. — Anonymous

I heard about this man who fell into a pit, and while he was down there several people came by and offered their opinions. The Pharisee said, "You deserve to be in the pit." The Catholic said, "You need to suffer while you're in the pit." The Baptist said, "If you'd been saved, you wouldn't have fallen into the pit." The charismatic said, "Just confess I'm not in the pit." The mathematician said, "Let me calculate how you fell into the pit." The IRS agent said, "Have you paid taxes on that pit?" The optimist said, "Things could be worse." The pessimist said, "Things will get worse. — Joel Osteen

Exact science and its practical movements are no checks on the greatest poet, but always his encouragement and support ... The sailor and traveller, the anatomist, chemist, astronomer, geologist, phrenologist, spiritualist, mathematician, historian and lexicographer are not poets, but they are the lawgivers of poets and their construction underlies the structure of every perfect poem. — Walt Whitman

The mathematician is fascinated with the marvelous beauty of the forms he constructs, and in their beauty he finds everlasting truth. — George Bernard Shaw

Immortality is often ridiculous or cruel: few of us would have chosen to be Og or Ananias or Gallio. Even in mathematics, history sometimes plays strange tricks; Rolle figures in the textbooks of elementary calculus as if he had been a mathematician like Newton; Farey is immortal because he failed to understand a theorem which Haros had proved perfectly fourteen years before; the names of five worthy Norwegians still stand in Abel's Life, just for one act of conscientious imbecility, dutifully performed at the expense of their country's greatest man. But on the whole the history of science is fair, and this is particularly true in mathematics. No other subject has such clear-cut or unanimously accepted standards, and the men who are remembered are almost always the men who merit it. Mathematical fame, if you have the cash to pay for it, is one of the soundest and steadiest of investments. — G.H. Hardy

[Philosophers] have come to envy the philologist and the mathematician, and they have taken over all the inessential elements in those studies - with the result that they know more about devoting care and attention to their speech than about devoting such attention to their lives. — Seneca.

I constantly meet people who are doubtful, generally without due reason, about their potential capacity [as mathematicians]. The first test is whether you got anything out of geometry. To have disliked or failed to get on with other [mathematical] subjects need mean nothing; much drill and drudgery is unavoidable before they can get started, and bad teaching can make them unintelligible even to a born mathematician. — John Edensor Littlewood

The simplicity of the law by which the celestial bodies move, and the relations of their masses and distances, permit analysis to follow their motions up to a certain point; and in order to determine the state of the system of these great bodies in past or future centuries, it suffices for the mathematician that their position and their velocity be given by observation for any moment in time. — Pierre-Simon Laplace

To Plato, God was a mathematician. To Kepler, too, and to Biehl and Fredhoj. I do not believe it was a coincidence that their main subjects were biology and mathematics. A purpose behind them, the purpose that steered both them and the school, had caused them to align their own fates as closely as possible with God. — Peter Hoeg

Two of the most famous Baghdadi scholars, the philosopher Al-Kindi and the mathematician Al-Khawarizmi, were certainly the most influential in transmitting Hindu numerals to the Muslim world. Both wrote books on the subject during al-Ma'mun's reign, and it was their work that was translated into Latin and transmitted to the West, thus introducing Europeans to the decimal system, which was known in the Middle Ages only as Arabic numerals. But it would be many centuries before it was widely accepted in Europe. One reason for this was sociological: decimal numbers were considered for a long time as symbols of the evil Muslim foe. — Jim Al-Khalili