Numerical Quotes - page 2
The statistical study presented in the following pages may be best defined as an attempt to construct, on the basis of available statistical materials, a Tableau Economique of the United States for 1919 and 1929. One hundred and fifty years ago, when Quesnay first published his famous scheme, his contemporaries and disciples acclaimed it as the greatest discovery since Newton's laws. The idea of general interdepence among the various part of the economic system has become by now the very foundation of economic analysis. Yet, when it comes to the practical application of this theoretical tool, modern economists must rely exactly as Quesnay did upon fictitious numerical examples.
Wassily Leontief
Judah Benjamin said, "The nations of Europe continue to abhor our policy, try as we will to convince them that we cannot do otherwise. Mr. Mason has written from London that Her Majesty's government might well have been willing to extend us recognition two years ago, were it not for the continuation of slavery among us: so Lord Russell has assured him, at any rate. Mr. Thouvenel, the French foreign minister, has expressed similar sentiments to Mr. Slidell in Paris." Slavery, Lee thought. In the end, the world's outside view of the Confederate States of America was colored almost exclusively by its response to the South's peculiar institution. Never mind that the U. S. Constitution was a revocable compact between independent states, never mind that the North had consistently used its numerical majority to force through Congress tariffs that worked only to ruin the South. So long as black men were bought and sold, all the high ideals of the Confederacy would be ignored.
Harry Turtledove
Descend from the infinite to the infinitesimal. Long before... observation had begun to penetrate the veil under which Nature has hidden her mysteries, the restless mind sought some principle of power strong enough and of sufficient variety to collect and bind together all parts of a world. This seemed to be found, where one might least expect it, in abstract numbers. Everywhere the exactest numerical proportion was seen to constitute the spiritual element of the highest beauty.
Benjamin Peirce
"Aristocracy,” ... taken in its etymological sense, means precisely the power of the elect. The elect, by the very definition of the word, can only be the few, and their power, or rather their authority, being due to their intellectual superiority, has nothing in common with the numerical strength on which democracy is based, a strength whose inherent tendency is to sacrifice the minority to the majority, and therefore quality to quantity and the elect to the masses.
René Guénon
Two very different ideas are usually confounded under the name democracy. The pure idea of democracy, according to its definition, is the government of the whole people by the whole people, equally represented. Democracy, as commonly conceived and hitherto practiced, is the government of the whole people by a mere majority of the people exclusively represented. The former is synonymous with the equality of all citizens; the latter, strangely confounded with it, is a government of privilege in favor of the numerical majority, who alone possess practically any voice in the state. This is the inevitable consequence of the manner in which the votes are now taken, to the complete disfranchisement of minorities.
John Stuart Mill
We find in certain localities subterranean deposits of coal consisting of vegetable matter formerly drifted into seas and lakes. ...These seas and The commercial prosperity and numerical strength of a nation may now be mainly dependent on the local distribution of fuel determined by that ancient state of things.
Charles Lyell
The more I looked at his face [of Saint Sebastian] the more curious it seemed. That said, I seemed to have always known it and the aseptic morning light revealed its smallest details which such clarity, such purity, that I was impossible moved... In the upper part of the heliometer was St. Sebastian's magnifying glass... I put my eye to the magnifying glass, product of a slow distillation, at once numerical and intuitive. Each drop of water a number. Each drop of blood a geometry.
Salvador Dalí
In the early days of the computer revolution computer designers and numerical analysts worked closely together and indeed were often the same people. Now there is a regrettable tendency for numerical analysts to opt out of any responsibility for the design of the arithmetic facilities and a failure to influence the more basic features of software. It is often said that the use of computers for scientific work represents a small part of the market and numerical analysts have resigned themselves to accepting facilities "designed" for other purposes and making the best of them. [...] One of the main virtues of an electronic computer from the point of view of the numerical analyst is its ability to "do arithmetic fast."
James H. Wilkinson
Although I firmly believe that there is no such thing as a stupid question, there can indeed be stupid answers. 42 is an example. Not only is this a poor ripoff of Doug Adams' Hitchhiker's Guide, but it isn't even a prime number. Everyone surely knows that numerical answers to profound questions are always prime.
Donald Norman
Yet from the viewpoint of the herd, rather than that of the shepherd, it's hard to avoid the impression that for the vast majority of domesticated animals, the Agricultural Revolution was a terrible catastrophe. Their evolutionary ‘success' is meaningless. A rare wild rhinoceros on the brink of extinction is probably more satisfied than a calf who spends its short life inside a tiny box, fattened to produce juicy steaks. The contented rhinoceros is no less content for being among the last of its kind. The numerical success of the calf's species is little consolation for the suffering the individual endures.
Yuval Noah Harari
The objection made to the numerical method, to wit, the difficulty or impossibility of forming classes of similar facts, is alike applicable to all the methods that might be substituted; that it is impossible to appreciate each case with mathematical exactness, and it is precisely on this account that enumeration becomes necessary; by so doing, the errors, (which are inevitable,) being the same in two groups of patients subjected to different treatment, mutually compensate each other, and they may be disregarded without sensibly affecting the exactness of the results.
Pierre Charles Alexandre Louis
The seventeenth century witnessed the birth of modern science as we know it today. The science was something new, based on a direct confrontation of nature by experiment and observation. But there was another feature of the new science-a dependence on numbers, on real numbers of actual experience.
...The ancients knew a few numerical laws... But prior to the Scientific Revolution, the goal of science (or the study of nature) was not to seek laws of nature expressed in terms of numbers or number relations. ...the new science ...not only found laws based on numbers but they were also willing to express these laws in terms of higher powers of numbers-squares and cubes.
I. Bernard Cohen
More evidently still astronomy attains through arithmetic the investigations that pertain to it, not alone because it is later than geometry in origin-for motion naturally comes after rest-nor because the motions of the stars have a perfectly melodious harmony, but also because risings, settings, progressions, retrogressions, increases, and all sorts of phases are governed by numerical cycles and quantities. So then we have rightly undertaken first the systematic treatment of this, as the science naturally prior, more honorable, and more venerable, and, as it were, mother and nurse of the rest; and here we will take our start for the sake of clearness.
Nicomachus
In case of a resumption of hostilities we are militarily in a position to reconquer, in the east, the province of Posen and to defend our frontier. In the west, we cannot, in view of the numerical superiority of the Entente and its ability to surround us on both flanks, count on repelling successfully a determined attack of our enemies. A favorable outcome of our operations is therefore very doubtful, but as a soldier I would rather perish in honor than sign a humiliating peace.
Paul von Hindenburg
The use of canon raised numerous questions concerning the paths of projectiles. ...One might determine... what type of curve a projectile follows and.... prove some geometrical facts about this curve, but geometry could never answer such questions as how high the projectile would go or how far from the starting point it would land. The seventeenth century sought the quantitative or numerical information needed for practical applications, and such information is provided by algebra.
Morris Kline
The strife was stilled, order and unity were restored, as soon as Avogadro's great idea was seen in its true light, and the concept of the molecule was introduced into chemistry. A formula which had required pages of reasoning from a purely chemical standpoint to establish, and that insecurely, was fixed by a single numerical result.
J. R. Partington