It seems to me now that mathematics is capable of an artistic excellence as great as that of any music, perhaps greater; not because the pleasure it gives (although very pure) is comparable, either in intensity or in the number of people who feel it, to that of music, but because it gives in absolute perfection that combination, characteristic of great art, of godlike freedom, with the sense of inevitable destiny; because, in fact, it constructs an ideal world where everything is perfect and yet true.
Bertrand RussellRelated topics
absolute art characteristic combination comparable destiny everything excellence fact freedom gives great ideal inevitable intensity mathematics music now number people perfect perfection perhaps pleasure pure sense world yetRelated quotes
Has knowledge of birth control, so carefully guarded and so secretly practiced by the women of the wealthy class - and so tenaciously withheld from the working women - brought them misery? Rather, has it not promoted greater happiness, greater freedom, greater prosperity and more harmony among them? The women who have this knowledge are the women who have been free to develop, free to enjoy in its best sense, and free to advance the interests of the community.
Margaret Sanger
I am obliged to interpolate some remarks on a very difficult subject: proof and its importance in mathematics. All physicists, and a good many quite respectable mathematicians, are contemptuous about proof. I have heard Professor Eddington, for example, maintain that proof, as pure mathematicians understand it, is really quite uninteresting and unimportant, and that no one who is really certain that he has found something good should waste his time looking for proof.
G. H. Hardy
We have looked first at man with his vanities and greed and his problems of a day or a year; and then only, and from this biased point of view, we have looked outward at the earth he has inhabited so briefly and at the universe in which our earth is so minute a part. Yet these are the great realities, and against them we see our human problems in a different perspective. Perhaps if we reversed the telescope and looked at man down these long vistas, we should find less time and inclination to plan for our own destruction.
Rachel Carson
Great works of art can be produced in barbarous societies - in fact the very narrowness of primitive society gives their ornamental art a peculiar concentration and vitality. At some time in the ninth century one could have looked down the Seine and seen the prow of a Viking ship coming up the river. Looked at today in the British Museum, it is a powerful work of art; but to the mother of a family trying to settle down in her little hut, it would have seemed less agreeable - as menacing to her civilisation as the periscope of a nuclear submarine.
Kenneth Clark
Fir: it contains a great deal of air and fire with very little moisture and the earthy, so that, as its natural properties are of the lighter class, it is not heavy. Hence, its consistence being naturally stiff, it does not easily bend under the load, and keeps its straightness when used in the framework. But it contains so much heat that it generates and encourages decay, which spoils it; and it also kindles fire quickly because of the air in its body, which is so open that it takes in fire and so gives out a great flame.
Vitruvius
