Quotes of All Topics . Occasions . Authors
Because, unlike courage and wisdom, which made our state brave and wise by being present in a particular part of it, discipline operates by being diffused throughout the whole of it. It produces a concord between its strongest and weakest and middle elements, whether you define them by the standard of good sense, or of strength, or of numbers or money or the like. And so we are quite justified in regarding discipline as this sort of natural harmony and agreement between higher and lower about which of them is to rule in state and individual.
The transfinite numbers are in a certain sense themselves new irrationalities and in fact in my opinion the best method of defining the finite irrational numbers is wholly disimilar to, and I might even say in priciple the same as, my method described above of introducing trasfinite numbers. One can say unconditionally: the transfinite numbers stand or fall with the finite irrational numbers; they are like each other in their innermost being; for the former like the latter are definite delimited forms or modifications of the actual infinite.
You can imagine a different world in which a number of species developed with different genetically determined linguistic systems. It hasn't happened in evolution. What has happened is that one species has developed, and the genetic structure of this species happens to involve a variety of intricate abstract principles of linguistic organization that, therefore, necessarily constrain every language, and, in fact, create the basis for learning language as a way of organizing experience rather than constituting something learned from experience.
In Tereza’s eyes, books were the emblems of a secret brotherhood. For she had but a single weapon against the world of crudity surrounding her: the novels. She had read any number of them, from Fielding to Thomas Mann. They not only offered the possibility of an imaginary escape from a life she found unsatisfying; they also had a meaning for her as physical objects: she loved to walk down the street with a book under her arm. It had the same significance for her as an elegant cane from the dandy a century ago. It differentiated her from others.
[Rhyme is] but the invention of a barbarous age, to set off wretched matter and lame Meter; ... Not without cause therefore some both Italian and Spanish poets of prime note have rejected rhyme, ... as have also long since our best English tragedies, as... trivial and of no true musical delight; which [truly] consists only in apt numbers, fit quantity of syllables, and the sense variously drawn out from one verse into another, not in the jingling sound of like endings, a fault avoided by the learned ancients both in poetry and all good oratory.
Imagine discovering a continent so vast that it may have no end to its dimensions. Imagine a new world with more resources than all our future greed might exhaust, more opportunities than there will ever be entrepreneurs enough to exploit, and a peculiar kind of real estate that expands with development. Imagine a place where trespassers leave no footprints, where goods can be stolen infinite number of times and yet remain in the possession of their original owners, where business you never heard of can own the history of your personal affairs.
The old and oft-repeated proposition "Totum est majus sua parte" [the whole is larger than the part] may be applied without proof only in the case of entities that are based upon whole and part; then and only then is it an undeniable consequence of the concepts "totum" and "pars". Unfortunately, however, this "axiom" is used innumerably often without any basis and in neglect of the necessary distinction between "reality" and "quantity", on the one hand, and "number" and "set", on the other, precisely in the sense in which it is generally false.
I think that the only time we will really know what then-President Trump is going to do about the set of challenges that confront him is after he has sat down with his advisers as the commander in chief, when he's looking at the threats and the intelligence from the standpoint of being the number one decider, when he's hearing from his secretary of defense, his chairman, who was the same chairman President Obama had, Chairman Joe Dunford, who is an outstanding public servant, who has led our anti-ISIL effort, on which we're making great progress.
The Battle for the Philippines was the greatest naval battle in history, judged in terms of the number of ships taking part, the number of ships sunk, and the importance of its outcome. It included every form of naval warfare of the 20th century: gunnery duels between battleships; destroyer battles at night and by day, as ferocious and sustained as any at the Battle of Jutland; submarines that stalked the depths; sinking many ships; and finally, carrier warfare on a scale never dreamed of even by the most ardent enthusiasts of air warfare at sea.
"Once there, always there", would give you less freedom than you recently enjoyed, but more security. Security not in the sense of safety from terrorists, burglars, or pickpockets... but security in the sense of knowing where you are, who you are, on what kind of future you can count, what will happen, whether you will preserve your position in society or whether you will be degraded and humiliated - this sort of security. This sort of security for many, many people - a rising number of people - looks at the moment more attractive than more freedom.
Like gold, U.S. dollars have value only to the extent that they are strictly limited in supply. But the U.S. government has a technology, called a printing press (or, today, its electronic equivalent), that allows it to produce as many U.S. dollars as it wishes at essentially no cost. By increasing the number of U.S. dollars in circulation, or even by credibly threatening to do so, the U.S. government can also reduce the value of a dollar in terms of goods and services, which is equivalent to raising the prices in dollars of those goods and services.
Twin primes: pairs of prime numbers that are close to each other, almost neighbors, but between them there is always an even number that prevents them from truly touching. If you go on counting, you discover that these pairs gradually become rarer, lost in that silent, measured space made only of ciphers. You develop a distressing presentiment that the pairs encountered up until that point were accidental, that solitude is the true destiny. Then, just when you’re about to surrender, you come across another pair of twins, clutching each other tightly.
The Church has ever proved indestructible. Her persecutors have failed to destroy her; in fact, it was during times of persecution that the Church grew more and more; while the persecutors themselves, and those whom the Church would destroy, are the very ones who came to nothing. . . .Again, errors have assailed her; but in fact, the greater the number of errors that have arisen, the more has the truth been made manifest. . . . Nor has the Church failed before the assaults of demons: for she is like a tower of refuge to all who fight against the Devil.
Of course, there remains the question of why we should find mind-brain identities so persistently counter-intuitive, if they are true. But this is a simple psychological question, and there are a number of plausible explanations. Indeed this is a topic that is quite extensively discussed outside philosophy, by developmental psychologists and theorists of religion among others, under the heading of 'intuitive dualism'. It is rather shocking that so few of the many philosophers working on 'the explanatory gap' are familiar with this empirical literature.
One particular aspect of Siddhartha’s revelation of the outside world has always struck me. Quite possibly he lived his first thirty years without any knowledge of number. How must he have felt, then, to see crowds of people mingling in the streets? Before that day he would not have believed that so many people existed in all the world. And what wonder it must have been to discover flocks of birds, and piles of stones, leaves on trees and blades of grass! To suddenly realise that, his whole life long, he had been kept at arm’s length from multiplicity.
WikiLeaks does not publish from the jurisdiction of Ecuador, from this embassy or in the territory of Ecuador; we publish from France, we publish from, from Germany, we publish from The Netherlands and from a number of other countries, so that the attempted squeeze on WikiLeaks is through my refugee status; and this is, this is really intolerable. [It means] that [they] are trying to get at a publishing organisation; [they] try and prevent it from publishing true information that is of intense interest to the American people and others about an election.
It's so important to have your own relationship with the Lord. That is the number one thing I would say. Be sure that you are getting to a place where God is your best friend. He wants that relationship with you. He wants you to be in love with Him like that. It takes time. It takes discipline to spend time in His word and spend time listening to stuff that's going to pour life into you and not just thinking about your appearance or things that a lot of music tries to tell you to do. Be careful of that. Be careful of what you're filling your spirit with.
Is it just or reasonable, that most voices against the main end of government should enslave the less number that would be free? more just it is, doubtless, if it come to force, that a less number compel a greater to retain, which can be no wrong to them, their liberty, than that a greater number, for the pleasure of their baseness, compel a less most injuriously to be their fellow-slaves. They who seek nothing but their own just liberty, have always right to win it and to keep it, whenever they have power, be the voices never so numerous that oppose it.
The way to get to the top of the heap in terms of developing original research is to be a fool, because only fools keep trying. You have idea number 1, you get excited, and it flops. Then you have idea number 2, you get excited, and it flops. Then you have idea number 99, you get excited, and it flops. Only a fool would be excited by the 100th idea, but it might take 100 ideas before one really pays off. Unless you're foolish enough to be continually excited, you won't have the motivation, you won't have the energy to carry it through. God rewards fools.
Well, I do expect a lot of myself. I'm a harsh critic because I know what I'm capable of. I have hit those occasional peaks amongst the valleys, but the peaks are so few-things like genuine flashes of virtuoso brush inking, like I've never executed before or since-I can count on one hand the number of jobs where I've been able to hit that mark. The same with penciling. Sometimes it just flows, but more often than not, it's pure physical and spiritual torment just to get something decent on paper. I often get very discouraged with the whole creative process.
When I immersed myself in prayer and united myself with all the Masses that were being celebrated all over the world at that time, I implored God, for the sake of all these Holy Masses, to have mercy on the world and especially on poor sinners who were dying at that moment. At the same instant, I received an interior answer from God that a thousand souls had received grace through the prayerful mediation I had offered to God. We do not know the number of souls that is ours to save through our prayers and sacrifices; therefore, let us always pray for sinners.
To those privileged ones -- among whom we count ourselves -- the high-resounding "isms" to which their contemporaries ask them to give their allegiance are all equally futile: bound to be betrayed, defeated, and finally rejected by men at large, if containing anything really noble; bound to enjoy, for the time being, some sort of noisy success, if sufficiently vulgar, pretentious, and soul-killing to appeal to the growing number of mechanically conditioned slaves that crawl about our planet, posing as free men; all destined to prove, ultimately, of no avail.
Part of what's unique about climate change, though, is the nature of some of the opposition to action. It's pretty rare that you'll encounter somebody who says the problem you're trying to solve simply doesn't exist. When President Kennedy set us on a course for the moon, there were a number of people who made a serious case that it wouldn't be worth it; it was going to be too expensive, it was going to be too hard, it would take too long. But nobody ignored the science. I don't remember anybody saying that the moon wasn't there or that it was made of cheese.
In my view, the pro-life movement at this point should focus on seeking to reduce the number of abortions. At times it will require political education and legal fights, at times it will require education and the establishment of alternatives to abortion, such as adoption centers. Unfortunately, such measures are sometimes opposed by so-called hard-liners in the pro-life movement. These hard-liners are fools. Because they want to outlaw all abortions, they refuse to settle for stopping some abortions; the consequence is that they end up preventing no abortions.
The artist of the future will live the ordinary life of a human being, earning his living by some kind of labour. He will strive to give the fruit of that supreme spiritual force which passes through him to the greatest number of people, because this conveying of the feelings that have been born in him to the greatest number of people is his joy and his reward. The artist of the future will not even understand how it is possible for an artist, whose joy consists in the widest dissemination of his works, to give these works only in exchange for a certain payment.
If you wish to alter or annihilate a pyramid of numbers in a serial relation, you alter or remove the bottom number. If we wish to annihilate the junk pyramid, we must start with the bottom of the pyramid: the Addict in the Street, and stop tilting quixotically for the "higher ups" so called, all of whom are immediately replaceable. The addict in the street who must have junk to live is the one irreplaceable factor in the junk equation. When there are no more addicts to buy junk there will be no junk traffic. As long as junk need exists, someone will service it.
I never said it. Honest. Oh, I said there are maybe 100 billion galaxies and 10 billion trillion stars. It's hard to talk about the Cosmos without using big numbers. I said "billion" many times on the Cosmos television series, which was seen by a great many people. But I never said "billions and billions." For one thing, it's too imprecise. How many billions are "billions and billions"? A few billion? Twenty billion? A hundred billion? "Billions and billions" is pretty vague. When we reconfigured and updated the series, I checked-and sure enough, I never said it.
[In the Royal Society, there] has been, a constant Resolution, to reject all the amplifications, digressions, and swellings of style: to return back to the primitive purity, and shortness, when men deliver'd so many things, almost in an equal number of words. They have exacted from all their members, a close, naked, natural way of speaking; positive expressions; clear senses; a native easiness: bringing all things as near the Mathematical plainness, as they can: and preferring the language of Artizans, Countrymen, and Merchants, before that, of Wits, or Scholars.
Constraint theory argues a number of things. First, that the impossible has to be identified. Second, that the actor is then constrained by circumstances to act a certain way. For example, should we invade ISIS? Can we invade ISIS? What would it take to invade ISIS? Once you ask that question you discover the price of that option and then you take a look at American politics and see that the country is probably not prepared to invest the 2 to 3 million people that it would take to defeat ISIS and the insurgency afterwards. All right, so that's not going to happen.
If you want to really sort of quantify the dereliction of the Republican establishment, those two facts are the most important two facts. One, that they didn`t even understand the base of their own party, white working class voters who you know what, don`t care about tax cuts for the rich, really aren`t interested in the things that the elite part of their party want, including immigration reform. And number two, they spent eight months avoiding finding opposition research to use against the guy who was becoming the front-runner in their party that they don`t want.
I soon began to dream. ... I heard subdued sobs, as if a number of people were weeping. ... I left my bed and wandered downstairs. ... There I met with a sickening surprise. Before me was a catafalque, on which rested a corpse wrapped in funeral vestments. Around it were stationed soldiers who were acting as guards; and there was a throng of people, gazing mournfully upon the corpse, whose face was covered, others weeping pitifully. 'Who is dead in the White House?' I demanded of one of the soldiers, 'The President,' was his answer; 'he was killed by an assassin.''
I'm often asked by younger filmmakers, 'Why do I need to look at old movies?' I've made a number of pictures in the last 20 years and the response I have to give them is that I still consider myself a student. The more pictures I've made in 20 years, the more I realize I really don't know. And I'm always looking for something or someone that I could learn from. I tell the younger filmmakers, and the young students, that do it like painters used to do—that painters do—study the old masters, enrich your palette, expand the canvas. There's always so much more to learn.
It seemed to a number of philosophers of language, myself included, that we should attempt to achieve a unification of Chomsky's syntax, with the results of the researches that were going on in semantics and pragmatics. I believe that this effort has proven to be a failure. Though Chomsky did indeed revolutionize the subject of linguistics, it is not at all clear, at the end the century, what the solid results of this revolution are. As far as I can tell there is not a single rule of syntax that all, or even most, competent linguists are prepared to agree is a rule.
Undeveloped though the science [of chemistry] is, it already has great power to bring benefits. Those accruing to physical welfare are readily recognized, as in providing cures, improving the materials needed for everyday living, moving to ameliorate the harm which mankind by its sheer numbers does to the environment, to say nothing of that which even today attends industrial development. And as we continue to improve our understanding of the basic science on which applications increasingly depend, material benefits of this and other kinds are secured for the future.
A certain ultra-dignified gentleman of unusual prominence carried himself so stiffly that nobody felt free to call him by his first name. He quarreled with a friend of earlier days and from then on the two never spoke. The day the friend died an associate found the ultra-dignified gentleman staring through the window. When he came out of his reverie, he soliloquized with a sigh, ""He was the last to call me John."" Is any man really entitled to regard himself a success who has failed to inspire at least a goodly number of fellow mortals to greet him by his first name?
The emerging picture from such studies is that ten thousand hours of practice is required to achieve the level of mastery associated with being a world-class expert - in anything. In study after study, of composers, basketball players, fiction writers, ice skaters, concert pianists, chess players, master criminals, and what have you, this number comes up again and again…no one has yet found a case in which true world-class expertise was accomplished in less time. It seems that it takes the brain this long to assimilate all that it needs to know to achieve true mastery.
• Eating disorders are addictions. You become addicted to a number of their effects. The two most basic and important: the pure adrenaline that kicks in when you're starving—you're high as a kite, sleepless, full of a frenetic, unstable energy—and the heightened intensity of experience that eating disorders initially induce. At first, everything tastes and smells intense, tactile experience is intense, your own drive and energy themselves are intense and focused. Your sense of power is very, very intense. You are not aware, however, that you are quickly becoming addicted.
She had lived in that house fourteen years, and every year she had demanded of John that she be given a pet of some strange exotic breed. Not that she did not have enough animals. She had collected several wild and broken animals that, in a way, had become exotic by their breaking. Their roof would have collapsed from the number of birds who might have lived there if the desert hadn't killed three- quarters of those that tried to cross it. Still every animal that came within a certain radius of that house was given a welcome-the tame, the half born, the wild, the wounded.
When I consider what people generally want in calculating, I found that it always is a number. I also observed that every number is composed of units, and that any number may be divided into units. Moreover, I found that every number which may be expressed from one to ten, surpasses the preceding by one unit: afterwards the ten is doubled or tripled just as before the units were: thus arise twenty, thirty, etc. until a hundred: then the hundred is doubled and tripled in the same manner as the units and the tens, up to a thousand;… so forth to the utmost limit of numeration.
Hence, a generative grammar must be a system of rules that can iterate to generate an indefinitely large number of structures. This system of rules can be analyzed into the three major components of a generative grammar: the syntactic, phonological, and semantic components... the syntactic component of a grammar must specify, for each sentence, a deep structure that determines its semantic interpretation and a surface structure that determines its phonetic interpretation. The first of these is interpreted by the semantic component; the second, by the phonological component.
Natural causes, as we know, are at work, which tend to modify, if they do not at length destroy, all the arrangements and dimensions of the earth and the whole solar system. But though in the course of ages catastrophes have occurred and may yet occur in the heavens, though ancient systems may be dissolved and new systems evolved out of their ruins, the molecules [i.e. atoms] out of which these systems are built-the foundation stones of the material universe-remain unbroken and unworn. They continue to this day as they were created-perfect in number and measure and weight.
One of the reasons that so many people of color and poor people are in prison is that the deindustrialization of the economy has led to the creation of new economies and the expansion of some old ones – I have already mentioned the drug trade and the market for sexual services. At the same time, though, there are any number of communities that more than welcome prisons as a source of employment. Communities even compete with one another to be the site where new prisons will be constructed because prisons create a significant number of relatively good jobs for their residents
I think a persons life is supposed to be like a DVD. You can see the version everyone else sees, or you can choose the directors cut-the way he wanted you to see it, before everything else got in the way. There are menus, probably, so that you can start at the good spots and not have to relive the bad ones. You can measure your life by the number of scenes you’ve survived, or the minutes you’ve been stuck there. Probably, though, life is more like one of those dumb video surveillance tapes. Grainy, no matter how hard you stare at it. And looped: the same thing, over and over.
Who should regulate the media? Who should control the press? The commentariat agonises, as if the choice was between state control through some autocratic press law or a new Press Complaints Commission redecorated with false teeth. But there is another way. Let journalists regulate themselves.... Let's have a little democracy in the media. Even in the Murdoch papers, the number of journalists who are irretrievably lawless and callous is quite small. Most of the disasters at the News of the World happened because its editors treated their staff in the style of Muammar Gaddafi.
The ordinary Nigerians have lived as neighbors down the millennia. I was talking about the British who came and merged a whole number of mini states and big states into one unit. But those people were always there, and they always managed to live side by side with their neighbours. So they were not owned or run by one kingdom. It was not practically impossible for these people when they have different languages and religions to be neighbors. So it is that habit of neighbourliness which is destroyed and put under great strain again and again when you have things like massacres.
The most basic task of any museum must be the protection of works of cultural significance entrusted to its care for the edification and pleasure of future generations. This imperative rightfully takes precedence over acquisition, interpretation, outreach, or any number of other activities now believed to be crucial to the survival of our great art repositories. Sometimes a museum gains its holdings with much strategic forethought, and at other times serendipitously, as when a long-coveted neighbor’s plot suddenly becomes available. Yet the moral responsibility remains the same.
In physical science a first essential step in the direction of learning any subject is to find principles of numerical reckoning and practicable methods for measuring some quality connected with it. I often say that when you can measure what you are speaking about, and express it in numbers, you know something about it; but when you cannot measure it, when you cannot express it in numbers, your knowledge is of a meagre and unsatisfactory kind; it may be the beginning of knowledge, but you have scarcely in your thoughts advanced to the stage of science, whatever the matter may be.
Worship ought not to be construed in a utilitarian way. Its purpose is not to gain numbers nor for our church to be seen as successful. Rather, the entire reason for our worship is that God deserves it. (Worship) immerses us in the regal splendor of the King of the cosmos…provides opportunities for us to enjoy God’s presence in corporate ways that takes us out of time and into the eternal purposes of God’s kingdom. As a result, we shall be changed—but not because of anything we do. God, on whom we are centered and to whom we submit, will transform us by his Revelation of himself.
All Americans, not only in the states most heavily affected but in every place in this country, are rightly disturbed by the large numbers of illegal aliens entering our country. The jobs they hold might otherwise be held by citizens or legal immigrants. The public services they use impose burdens on our taxpayers. That's why our administration has moved aggressively to secure our borders more by hiring a record number of new border guards, by deporting twice as many criminal aliens as ever before, by cracking down on illegal hiring, by barring welfare benefits to illegal aliens.
Employers, have you ever stopped to reckon what the goodwill of your workers is worth? ... In most large concerns it would be worth more in dollars and cents to have the goodwill of the working force than of those on the outside. It has been repeatedly demonstrated that the average working force is capable of increasing its production 25% or more whenever the workers fell so inclined. Workers animated by ill will cannot possibly give results equal to those of workers animated by goodwill. The tragic fact appears to be that a tremendous number of working forces are not so animated.