Mathematician Quotes - page 4
The mathematician may be compared to a designer of garments, who is utterly oblivious of the creatures whom his garments may fit. To be sure, his art originated in the necessity for clothing such creatures, but this was long ago; to this day a shape will occasionally appear which will fit into the garment as if the garment had been made for it. Then there is no end of surprise and delight.
George Dantzig
The belief that science destroys culture is sometimes supported by historical statements that the arts have flourished only when the sciences have been neglected. This thesis is... directly contrary to history... [I]n the great age of Greece, art and science penetrate one another more closely than in any modern age. ...The example of these men in science as much as in art set the modern world afire in the Renaissance. And the type and symbol of Renaissance man... remains Leonardo da Vinci, painter, sculptor, mathematician, and engineer. No man has shown more strikingly the universality and the unity of the intellect.
Jacob Bronowski
Arithmetic and geometry, according to Plato, are the two wings of the mathematician. The object indeed of all mathematical questions, is to determine the ratios of numbers, or of magnitudes ; and it may even be said, to continue the comparison of the ancient philosopher, that arithmetic is the mathematician's right wing; for it is an incontestable truth, that geometrical determinations would, for the most part, present nothing satisfactory to the mind, if the ratios thus determined could not be reduced to numerical ratios. This justifies the common practice, which we shall here follow, of beginning with arithmetic.
Jacques Ozanam
...by action on man all known force may be measured. Indeed, few men of science measured force in any other way. After once admitting that a straight line was the shortest distance between two points, no serious mathematician cared to deny anything that suited his convenience, and rejected no symbol, proved or unproveable, that helped him to accomplish work. The symbol was force, as a compass-needle or a triangle was force.
Henry Adams
Like so many other great observers, Langley was not a mathematician, and like most physicists, he believed in physics. Rigidly denying himself the amusement of philosophy, which consists chiefly in suggesting unintelligible answers to insoluble problems, he still knew the problems, and liked to wander past them in a courteous temper, even bowing to them distantly as though recognising their existence though doubting their respectability.
Henry Adams
It is the historical mind, rather than the scientific (in the physicist's sense), that destroyed the mythical orientation of European culture; the historian, not the mathematician, introduced the "higher criticism," the standard of actual fact. It is he who is the real apostle of the realistic age. Science builds its structure of hypothetical "elements" and laws of their behavior, touching on reality at crucial points.... But the historian does not locate known facts in a hypothetical, general pattern of processes; his aim is to link fact to fact, one unique knowable event to another individual one that begot it.
Susanne Langer
The church has not been in the habit of pursuing enemies with kind words and charitable deeds. To tell the truth, it has always been rather relentless. It has preached forgiveness, but it has never forgiven. There is in the history of Christendom no instance where the church has extended the hand of friendship to a man who denied the truth of its creed. There is in the church no spirit-no climate-of compromise. In the nature of things there can be none, because the church claims that it is absolutely right-that there is only one road leading to heaven. It demands unconditional surrender. It will not bear contradiction. It claims to have the absolute truth. For these reasons it cannot consistently compromise, any more than a mathematician could change the multiplication table to meet the view of some one who should deny that five times five are twenty-five.
Robert G. Ingersoll
It was in vain. I brought my hardest right angle into violent collision with the Stranger, pressing on him with a force sufficient to have destroyed any ordinary Circle: but I could feel him slowly and unarrestably slipping from my contact; no edging to the right nor to the left, but moving somehow out of the world, and vanishing to nothing. Soon there was a blank. But still I heard the Intruder's voice.
SPHERE. Why will you refuse to listen to reason? I had hoped to find in you - as being a man of sense and an accomplished mathematician - a fit apostle for the Gospel of the Three Dimensions, which I am allowed to preach once only in a thousand years: but now I know not how to convince you. Stay, I have it. Deeds, and not words, shall proclaim the truth.
Edwin Abbott Abbott
Leibnitz, the great mathematician, published his 'Protogaea' in 1680. He imagined this planet to have been originally a burning luminous mass, and that ever since its creation it has been undergoing gradual refrigeration. Nearly all the matter of the earth was at first encompassed by fire. When the outer crust had at length cooled down sufficiently to allow the vapors to be condensed, they fell and formed a universal ocean, investing the globe, and covering the loftiest mountains. Further consolidation produced rents, vacuities, and subterranean caverns, and the ocean, rushing in to fill them, was gradually lowered. The principal feature of this theory, the gradual diminution of the original heat, and of an ancient universal ocean, were adopted by Buffon and De Luc, and entered under different modifications, into a great number of succeeding systems.
Charles Lyell
After Riemann had made known his discoveries, mathematicians busied themselves with working out his system of geometrical ideas formally; chief among these were Christoffel, Ricci, and Levi-Civita. Riemann... clearly left the real development of his ideas in the hands of some subsequent scientist whose genius as a physicist could rise to equal flights with his own as a mathematician. After a lapse of seventy years this mission has been fulfilled by Einstein.
Hermann Weyl
Discovery in mathematics is not a matter of logic. It is rather the result of mysterious powers which no one understands, and in which unconscious recognition of beauty must play an important part. Out of an infinity of designs, a mathematician chooses one pattern for beauty's sake and pulls it down to earth.
Marston Morse