Infinite Series Quotes & Sayings

The sky was so heartless and dark, and her body, her head, and particularly those damned thirsty trousers, felt clogged with Oceanus Nox, n,o,x. At every slap and splash of cold wild salt, she heaved with anise-flavored nausea and there was an increasing number, okay, or numbness in her neck and arms. As she began losing track of herself, she thought it proper to inform a series of receding Lucettes
telling them to pass it on and on in a trick-crystal regression
that what death amounted to was only a more complete assortment of the infinite fractions of solitude. — Vladimir Nabokov

I know that every atom of life in all this universe is bound up together. I know that pebble cannot be thrown into the ocean without distrubing every drop of water in the sea. I know that every life is inextricably mixed and woven with every other life. I know that every influence, conscious and unconscious, acts and reacts on every living organism, and that no one can fix the blame.
I know that all life is a series of infinite chances, which sometimes result one way and sometimes another. I have not the infinite wisdom that can fathom it, neither has any other human brain. But I do know that in back of it is a power that made it, that power alone can tell, and if there is no power, then it is an infinite chance which man cannot solve. — Marianne Wiggins

Justice, as it turned out, was a lot harder than war. War was largely a series of technical questions, a matter of taking living human bodies and making them dead. There were infinite variations in the tactics and the strategy, of course, nuances in weaponry and technique, but the basic premise was bedrock: you'd done it right if you were alive at the end of the day, and the other poor fool was not. — Brian Staveley

The value the world sets upon motives is often grossly unjust and inaccurate. Consider, for example, two of them: mere insatiable curiosity and the desire to do good. The latter is put high above the former, and yet it is the former that moves one of the most useful men the human race has yet produced: the scientific investigator. What actually urges him on is not some brummagem idea of Service, but a boundless, almost pathological thirst to penetrate the unknown, to uncover the secret, to find out what has not been found out before. His prototype is not the liberator releasing slaves, the good Samaritan lifting up the fallen, but a dog sniffing tremendously at an infinite series of rat-holes. — H.L. Mencken

We never have a full demonstration, although there is always an underlying reason for the truth, even if it is only perfectly understood by God, who alone penetrated the infinite series in one stroke of the mind. — Gottfried Leibniz

The main influence on a child's palate may no longer be a parent but a series of food manufacturers whose products - despite their illusion of infinite choice - deliver a monotonous flavour hit, quite unlike the more varied flavours of traditional cuisine. — Bee Wilson

Even as the finite encloses an infinite series
And in the unlimited limits appear,
So the soul of immensity dwells in minutia
And in the narrowest limits no limit in here.
What joy to discern the minute in infinity!
The vast to perceive in the small, what divinity! — Jacob Bernoulli

It was precisely this notion of infinite series which in the sixth century BC led the Greek philosopher Zeno to conclude that since an arrow shot towards a target first had to cover half the distance, and then half the remainder, and then half the remainder after that, and so on ad infinitum, the result was, as I will now demonstrate, that though an arrow is always approaching its target, it never quite gets there, and Saint Sebastian died of fright. — Tom Stoppard

I woke up every morning on the couch. It felt like the same morning all the time, or like an infinite series of nested dreams from which every day I imagined I awoke but I only ever really arose into another dream. — Paul Harding

It is clear to all that the animal organism is a highly complex system consisting of an almost infinite series of parts connected both with one another and, as a total complex, with the surrounding world, with which it is in a state of equilibrium. — Ivan Pavlov

I'm really disturbed by the degree to which I don't hear people saying, "Are we leaving the world better than we found it?" I think we are a generation that perhaps could not answer in the affirmative, and it is the evasion of the larger responsibility of being only one generation in what one hopes will be an infinite series of fruitful generations. There is a selfishness in refusing to understand that we are passing through; others will come, and they deserve certain courtesies and certain considerations from us. — Marilynne Robinson

The mind is infinite. It is not relegated to the brain or to thought or to emotion. It is made up of an endless series of realities that stretch on into infinity. — Frederick Lenz

Life is a series of decisions that cuts off infinite possibilities at every turn. Most people look at that as a sad unfortunate fact of life. Successful people see it as a source of tremendous power. — Mark Joyner

Until now the theory of infinite series in general has been very badly grounded. One applies all the operations to infinite series as if they were finite; but is that permissible? I think not. Where is it demonstrated that one obtains the differential of an infinite series by taking the differential of each term? Nothing is easier than to give instances where this is not so. — Niels Henrik Abel

Prime numbers are divisible only by 1 and by themselves. They hold their place in the infinite series of natural numbers, squashed, like all numbers, between two others, but one step further than the rest. They are suspicious, solitary numbers, which is why Mattia thought they were wonderful. Sometimes he thought that they had ended up in that sequence by mistake, that they'd been trapped, like pearls strung on a necklace. Other times he suspected that they too would have preferred to be like all others, just ordinary numbers, but for some reason they couldn't do it. This second thought struck him mostly at night, in the chaotic interweaving of images that comes before sleep, when the mind is too weak to tell itself lies. — Paolo Giordano

Therein lies the insight: Even though you will continue moving forever - with each move taking you half the remaining distance to the wall - the total distance you travel can never be more than 2 feet, which is your starting distance from the wall. For mathematical purposes, the total distance you travel can be approximated as 2 feet, which turns out to be very handy for computation purposes. A mathematician would say that the sum of this infinite series 1 ft + ½ ft + ¼ ft + ⅛ ft ... converges to 2 feet, which is what our instructor was trying to teach us that day. — Charles Wheelan

Somewhere int he flesh of the earth the dreadful earthquake shuddered, the tide walked to and fro on the leash of the moon, rainbows formed, winds swept the sky like giant brooms piling up clouds before them, clouds which writhed into different shapes, melted into rain or darkened, bruised themselves against an unseen antagonist and went on their way, laced with forking rivers of lightning, complete with white electric tributaries. Out of this infinite vision an infinity of details could be drawn, but Sonny had settled on one, and from the endless series a particular beach was chosen and began to form around Laura - a beach of iron-dark sand and shells like frail stars, and a wonderful wide sea that stretched, neither green nor blue, but inked by the approach of night into violet and black, wrinkling with its own salty puzzles, right out to a distant, pure horizon. — Margaret Mahy

Differing from Newton and Schopenhauer, your ancestor did not think of time as absolute and uniform. He believed it an infinite series of times, in a dizzily growing, ever spreading network of diverging, converging and parallel times. — Jorge Luis Borges

Do we not have moments of grace? — Rebecca Maizel

He began to search among the infinite series of impressions which time had laid down, leaf upon leaf, fold upon fold softly, incessantly upon his brain; among scents, sounds; voices, harsh, hollow, sweet; and lights passing, and brooms tapping; and the wash and hush of the sea. — Virginia Woolf

Temptation is a fearful word. It indicates the beginning of a possible series of infinite evils. It is the ringing of an alarm bell, whose melancholy sounds may reverberate through eternity. Like the sudden, sharp cry of "Fire!" under our windows by night, it should rouse us to instantaneous action, and brace every muscle to its highest tension. — Horace Mann

With the exception of the geometrical series, there does not exist in all of mathematics a single infinite series the sum of which has been rigorously determined. In other words, the things which are the most important in mathematics are also those which have the least foundation. — Niels Henrik Abel

Life is a series of infinite ripples. — Kevin Cowdall

I wanted to call her a bitch. I almost did. But I couldn't get the word out. I started wondering whether that'd be sexist, and then I started thinking about how many thoughts could squeeze into the tiniest pause between words, and then I started thinking that now I was thinking about my thoughts, and also thinking about the fact that I was thinking about my thoughts, and how that could go on forever, as if my first thought had been placed between two mirrors and now there was an infinite, recursive series of thoughts. And then I thought about how everyone else probably thought about thoughts too, and how there were so many thoughts out there, an oppressive consciousness ladled over the globe like a thick, congealing sauce. — Kate Hattemer

The city seems to be a labyrinth that can be ordered. The world is an infinite series of curvatures or inflections, and the entire world is enclosed in the soul from one point of view. — Gilles Deleuze

In the order of literature, as in others, there is no act that is not the coronation of an infinite series of causes and the source of an infinite series of effects. — Jorge Luis Borges

As he now went up the weary and perpetual steps, he was daunted and bewildered by their almost infinite series. But it was not the hot horror of a dream or of anything that might be exaggeration or delusion. Their infinity was more like the empty infinity of arithmetic, something unthinkable, yet necessary to thought. Or it was like the stunning statements of astronomy about the distance of the fixed stars. He was ascending the house of reason, a thing more hideous than unreason itself. — Anonymous

I hadn't read a real series like that since I was a kid, and it was exciting to live again in an infinite fiction. — John Green

Progress never defines its ultimate objective but thrusts its victims at once into an infinite series,' Mr. [John Crowe] Ransom said' 'Industrialism,' he declared, 'is rightfully a menial, of almost miraculous cunning, but no intelligence; it needs to be strongly governed, or it will destroy the economy of the household. Only a community of tough conservative habit can master it. — Richard M. Weaver

The multiverse is infinite. So, yeah, we go through some terrible things together, and I've seen versions of you who are darker, and damaged, and I don't care. I want you even when you're broken. I want you no matter what. — Claudia Gray

Combinatorial analysis, in the trivial sense of manipulating binomial and multinomial coefficients, and formally expanding powers of infinite series by applications ad libitum and ad nauseamque of the multinomial theorem, represented the best that academic mathematics could do in the Germany of the late 18th century. — Richard Askey

Most would sooner attend a conference on self-esteem and self-realization than listen to one sermon on sanctification, without which no one will see the Lord.15 Many would cross land and sea to find their best life now, but they would not walk across the street to attend a series of meetings on the infinite worth of Christ or the sufferings of Calvary! — Paul David Washer

[Georg Cantor was the first to prove that there could be a series of infinities; that infinities come in an infinite number of sizes.] Thus Cantor's Absolute is a perfect image for what we experience of God. When I speak of a Big Enough God I am not merely thinking of an Infinite God, but the God of infinities, the Absolute, which either chooses to reveal itself or remains veiled in mystery. Modern mathematics does begin to feel like the language that God talks. — Sara Maitland

When we live completely from the mind over a period of time, we lose touch with the infinite self, and then we begin to feel lost. This happens when we'are in doing mode all the time, rather than being . The latter means letting ourselves be who and what we are without judgment. Being doesn't mean that we don't do anything. It's just that our actions stem from following our emotions and feelings while staying present in the moment. Doing, on the other hand, is future focused, with the mind creating a series of tasks that take us from here to there in order to achieve a particular outcome, regardless of our current emotional state. — Anita Moorjani

There you stand, lost in the infinite series of the sea, with nothing ruffled but the waves. The tranced ship indolently rolls; the drowsy trade winds blow; everything resolves you into languor. For the most part, in this tropic whaling life, a sublime uneventfulness invests you; you hear no news; read no gazettes; extras with startling accounts of commonplaces never delude you into unnecessary excitements; you hear of no domestic afflictions; bankrupt securities; fall of stocks; are never troubled with the thought of what you shall have for dinner - for all your meals for three years and more are snugly stowed in casks, and your bill of fare is immutable. (Moby Dick chap 35 p 153) — Herman Melville