500+ Sourced quotes
Gödel's theorem shows conclusively that in pure mathematics reductionism does not work. To decide whether a mathematical statement is true, it is not sufficient to reduce the statement to marks on paper and to study the behavior of the marks. Except in trivial cases, you can decide the truth of a statement only by studying its meaning and its context in the larger world of mathematical ideas.
The mathematician requires tact and good taste at every step of his work, and he has to learn to trust to his own instinct to distinguish between what is really worthy of his efforts and what is not; he must take care not to be the slave of his symbols, but always to have before his mind the realities which they merely serve to express. For these and other reasons it seems to me of the highest importance that a mathematician should be trained in no narrow school; a wide course of reading in the first few years of his mathematical study cannot fail to influence for good the character of the whole of his subsequent work
Men give me credit for some genius. All the genius I have lies in this; when I have a subject in hand, I study it profoundly. Day and night it is before me. My mind becomes pervaded with it. Then the effort that I have made is what people are pleased to call the fruit of genius. It is the fruit of labor and thought.
British diplomats, constantly exposed to American political-ethical rhetoric, find their professional skills tested to the limits by the need to keep a straight face. For illustrations of what I mean, study the photographs of the expressions worn by Mr Douglas Hurd at any international conference involving all the Western allies.
The question now at issue, whether the living species are connected with the extinct by a common bond of descent, will best be cleared up by devoting ourselves to the study of the actual state of the living world, and to those monuments of the past in which the relics of the animate creation of former ages are best preserved and least mutilated by the hand of time.
Transjordan, or Palestine east of the Jordan Rift is not sufficiently known and has therefore been in need of archeological study.... these nations in antiquity belonged to a group of people called the Canaanites. Culturally and linguistically they were practically identical with the Judean and Israelite 'Canaanites' west of the Rift.
If I had complained about the prize before I got mine, they may have thought I was anticipating sour grapes. But I complained on the grounds that too many important scientists get missed out for Nobels. Science today is a highly collaborative exercise and to convert it into a contest, as the Nobel does, is a bad way to look at science. On the other hand, I am grateful to the committee for my award. It put the study of ribosome – the cellular machine that turns the blueprint of life into life itself – on front pages round the world.
The ownership and the consumption of goods is a means to an end, and Buddhist economics is the systematic study of how to attain given ends with the minimum means. Modern economics, on the other hand, considers consumption to be the sole end and purpose of all economic activity, taking the factors of production—labour and capital—as the means. The former, in short, tries to maximise human satisfactions by the optimal pattern of consumption, while the latter tries to maximise consumption by the optimal pattern of productive effort.
The opposition between structure and sonority in music is almost as misleading as that between line and color in the visual arts. Baudelaire insisted, correctly, that Delacroix was one of the three greatest draftsmen of the century, and emphasized his mastery of line. In the same way, a study of Chopin demonstrates the intimate relation between line and color in music.