Numbers Quotes - page 43
Only one force can arise today to challenge the continuing decay and increasing barbarism of all regimes based upon exploitation: that of the producing class, the socialist proletariat. Constantly increasing in numbers through the industrialization of the world economy, ever more concentrated in the process of production, trained through misery and oppression to revolt against the ruling classes having had the chance to experience the results of its own "leadership," the working class, despite an increasing number of difficulties and obstacles, has ripened for revolution. The obstacles confronting it are not insurmountable. The whole history of the past century is there to prove that the proletariat represents, for the first time in human history, not only a class in revolt against exploitation but a class positively capable of overthrowing the exploiters and of organizing a free an d humane society. Its victory, and the fate of humanity, are in its hands.
Cornelius Castoriadis
It is probable... that the greatest inventor in science was never able to do more than to accelerate the progress of discovery, and to anticipate what time, "the author of authors," would have gradually brought to light. Though logarithms had not been invented by Napier, they would have been discovered in the progress of the algebraic analysis, when the arithmetic of powers and exponents, both integral and fractional, came to be fully understood. The idea of considering all numbers, as powers of one given number, would then have readily occurred, and the doctrine of series would have greatly facilitated the calculations which it was necessary to undertake. Napier had none of these advantages, and they were all supplied by the resources of his own mind. Indeed, as there never was any invention for which the state of knowledge had less prepared the way, there never was any where more merit fell to the share of the inventor.
John Napier
Durango is also celebrated as being the head-quarters, as it were, of the whole scorpion family. During the spring, especially, so much are the houses infested by these poisonous insects, that many people are obliged to have resort to a kind of mosquito-bar, in order to keep them out of their beds at night. As an expedient to deliver the city from this terrible pest, a society has actually been formed, which pays a reward of a cuartilla (three cents) for every alacran (or scorpion) that is brought to them. Stimulated by the desire of gain, the idle boys of the city are always on the look-out: so that, in the course of a year, immense numbers of this public enemy are captured and slaughtered.
Josiah Gregg
[T]he strong emphasis on increasing the numbers of women in male-dominated fields is arguably somewhat sexist. As Susan Pinker argues, it tacitly assumes that women do not know what they want, or that they want the wrong things and thus that wiser third-parties need to "fix” their existing preferences. It also tacitly assumes that the areas where men dominate are superior.
Steve Stewart-Williams
[I]f these islands were to be annexed they would present to us, in the most aggravated form, the difficulty arising from marked differences of race, which occurred already in some of our colonial possessions. Where the superior race was very large in numbers, and the less developed and less civilized race were small, the difficulty was little felt. In Porto Rico, for example, although there was a very large number of negroes-now, happily, no longer slaves-yet the number of Whites was extremely large in comparison, and the slave emancipation had been effected without difficulty. Jamaica was not like Porto Rico. The Whites were very small in number in Jamaica compared with the less developed race.
William Ewart Gladstone
[African Rift Valley soda lakes]. Steaming-hot water comes from volcanic springs and is so loaded with soda that around the margins of the lake it solidifies into white curds. Yet flamingos come here in thousands. [...] The fact that so few creatures can tolerate these conditions means that any animal that can, has the place to itself and so can proliferate in vast numbers.
David Attenborough
These primitive propositions ... suffice to deduce all the properties of the numbers that we shall meet in the sequel. There is, however, an infinity of systems which satisfy the five primitive propositions. ... All systems which satisfy the five primitive propositions are in one-to-one correspondence with the natural numbers. The natural numbers are what one obtains by abstraction from all these systems; in other words, the natural numbers are the system which has all the properties and only those properties listed in the five primitive propositions.
Giuseppe Peano
We don't need huge numbers of people. We need about one percent... spending three to five hundred hours a year, connecting with each other, opening full-time offices in every Congressional District, and focusing on just five-hundred and... thirty-five people... in the U.S. Congress... the branch that has the most power under our Constitution.
Ralph Nader
If explaining minds seems harder than explaining songs, we should remember that sometimes enlarging problems makes them simpler! The theory of the roots of equations seemed hard for centuries within its little world of real numbers, but it suddenly seemed simple once Gauss exposed the larger world of so-called complex numbers. Similarly, music should make more sense once seen through listeners' minds.
Marvin Minsky
![[E]arly analytic geometers-Descartes in particular-did not accept that geometry could be based on numbers or algebra. Perhaps the first to take the idea of arithmetizing geometry seriously was Wallis... [(1657) Mathesis universalis. Opera 1, 11-228.] Chs. XXIII and XXV, gave the first arithmetic treatment of Euclid's Books II and V, and he had earlier given purely algebraic treatment of conic sections [(1655) De sectionibus conicus. Opera 1, 291-364.]. He initially derived equations from classical definitions by sections of the cone but then proceeded to derive their properties from the equations, "without the embranglings of the cone," as he put it. (John Wallis)](https://cdn.quotesdtb.com/img/quotes_images_webp/43/john-wallis-algebra-arithmetic-1016743.webp)
Hello, everybody. The economic numbers just came out; they're very, very good. Our country is doing unbelievably well, economically. Most of you don't report that, because it doesn't sound good from your perspective. But the country is doing really, really well. We have a lot of very exciting things going on. A lot of companies will be announcing shortly they're moving back into the United States. They're all coming back. They want to be where the action is.
Donald Trump
If I were President right now, with COVID raging back, people being shot and killed in record numbers all over our cities, and the Border totally open with criminals and heavily infected COVID people pouring through our Southern Border and into our communities, the Fake News Media would be having an absolute field day.
Donald Trump
In an age when national greatness depends not on numbers or on territory, but on intelligence, the development of intelligence is a duty the neglect of which will hazard our national position. In a day when thought, not force, is the ruler of mankind, and when in domestic government numbers are more powerful than wealth, it is of the most vital importance to the stability of our institutions that that thought should be sound and those numbers enlightened.
Robert Gascoyne-Cecil, 3rd Marquess of Salisbury
It always seems to me absurd to speak of a complete proof of a theorem being rigorously demonstrated. An incomplete proof is no proof and a mathematical truth not rigorously demonstrated is not demonstrated at all. I do not mean to deny that there are mathematical truths, morally certain, which defy and will probably to the end of time to defy proof, as, e.g. that every indecomposable integer polynomial function must represent an infinitude of primes. I have sometimes thought that the profound mystery which envelops our conceptions relative to prime numbers depends upon the limitation of our faculties in regard to time, which like space may be in its essence poly-dimensional, and that this and such sort of truths would become self-evident to a being whose mode of perception is according to superficially as distinguished from our own limitation to linearly extended time.
James Joseph Sylvester
Orthodox Judaism has this amazing set of rules: everyday there's a bunch of strictures of things you're supposed to do, a bunch you're not supposed to do, and the number you're supposed to do is the same number as the number of bones in the body. The number that you're not supposed to do is the same number as the number of days in the year. The amazing thing is, nobody knows what the rules are! Talmudic rabbis have been scratching each others' eyes out for centuries arguing over which rules go into the 613. The numbers are more important than the content. It is sheer numerology.
Robert Sapolsky
I'm using myself as a typical 20th century model as I'm trying to make sense out of the world around me ... typical in the sense of being one of the damn good models around these days. I am typical in the sense that ...a lot of people are on the same wave length as me. I get fan mail from people that are absolutely stunned that there's somebody else besides themselves who thinks this way. So, we're a minority, but there are a lot of us. On a planet this overcrowded, a minority can have a few million numbers. ... More scientific than religious. More open than dogmatic. More optimistic than pessimistic. More future oriented than past oriented. And more humorous than serious. I really dread serious people. Especially serious, dogmatic people. I regard them as sort of what Reich called the emotional plague. I regard them as very dangerous.
Robert Anton Wilson
No, I'm very proud of being Jewish. And being Jewish is so much of what I am. Look, my father's family was wiped out by Hitler in the Holocaust. I know about what crazy and radical and extremist politics mean. I learned that lesson as a tiny, tiny child when my mother would take me shopping, and we would see people working in stores who had numbers on their arms because they were in Hitler's concentration camps. I'm very proud of being Jewish. And that's an essential part of who I am as a human being.
Bernie Sanders
One of the most fundamental principles of Lavoisier's chemistry was the use of numbers, notably in relation to what we often call today the principle of conservation of mass... The principle implies that the experimenter must not only keep account of all the reacting solids and liquids, but also the gases-that is, all of the products. ...This rule led to quantitative experiments. Lavoisier was not the first person to use numbers in chemistry but he was a pioneer in using such numerical measurements as the basis of his system of chemistry. ...When Lavoisier first announced this law, chemists generally believed in... "phlogiston" which supposedly entered into chemical reactions (such as combustion) but had no weight. It was a radical step, therefore, for Lavoisier to base a system of chemistry on a balance of weights and to maintain that chemistry is not concerned with weightless "substances." ...this was indeed a chemical revolution.
Antoine Lavoisier
For one then I am decided. We have at all events the strength of numbers, and if our lever be too short, we must only apply the greater power. If the landing be effected on the present plan, we must instantly have recourse to the strongest revolutionary measures, and put, if necessary, man, woman and child, money, horses & arms, stores and provisions, in requisition. ‘The King shall eat, tho' all mankind be starved.' No consideration must be permitted to stand a moment against the establishment of our independence. I do not wish for all this, if it can be avoided but liberty must be purchased at any price, so ‘Lay on Macduff, and damned be he that first cries, hold, enough!' We must strike the ball hard, and take the chance of the tables.
Theobald Wolfe Tone
With the present importance of the city [of Rome] and the unlimited numbers of its population, it is necessary to increase the number of dwelling-places indefinitely. Consequently, as the ground floors could not admit of so great a number living in the city, the nature of the case has made it necessary to find relief by making the buildings high. In these tall piles reared with piers of stone, walls of burnt brick, and partitions of rubble work, and provided with floor after floor, the upper stories can be partitioned off into rooms to very great advantage. The accommodations within the city walls being thus multiplied as a result of the many floors high in the air, the Roman people easily find excellent places in which to live.
Vitruvius
