Infinitely Small Quotes & Sayings

Over the whole earth- this infinitely small globe that possesses all we know of sunshine and bird song- an unfamiliar blight is creeping: man- man, who has become at last a planetary disease and who would, if his technology yet permitted, pass this infection to another star. — Loren Eiseley

Each individual is a cosmos of organs, each organ is a cosmos of cells, each cell is a cosmos of infinitely small ones; and in this complex world, the well-being of the whole depends entirely on the sum of well-being enjoyed by each of the least microscopic particles of organized matter. A whole revolution is thus produced in the philosophy of life. — Peter Kropotkin

To those who ask what the infinitely small quantity in mathematics is, we answer that it is actually zero. Hence there are not so many mysteries hidden in this concept as they are usually believed to be. — Leonhard Euler

Your world could grow infinitely bigger if you were only willing to become ... appropri ately small. — John Ortberg

If that one is already a great artist, who knows how to educe from a small piece of wood the face of a king or of a queen, an ant or a camel, how great then is the mastery which can form as actuality everything which is in all potentiality? Therefore, God, who is able to produce from the most minute piece of matter the similitude of all forms which can be in this world and in infinitely many worlds, is of admirable subtlety. — Nicholas Of Cusa

Here I was presented with an opportunity of speaking before quite a large audience. I was now able to confirm what I had hitherto merely felt, namely, that I had a talent for public speaking. My voice had become- so much better that I could be well understood, at least in all parts of the small hall where the soldiers assembled. No task could have been more pleasing to me than this one; for now, before being demobilized, I was in a position to render useful service to an institution which had been infinitely dear to my heart: namely, the army. — Adolf Hitler

Two possibilities: making oneself infinitely small or being so. The second is perfection, that is to say, inactivity, the first is beginning, that is to say, action. — Franz Kafka

It's fine, precise, detailed work, the infinitely small motor management of diamond cutters and safecrackers that we do in our heads. — Stanley Elkin

I believe that scientific knowledge has fractal properties, that no matter how much we learn, whatever is left, however small it may seem, is just as infinitely complex as the whole was to start with. That, I think, is the secret of the Universe. — Isaac Asimov

Who can calculate the trajectory of a molecule? How do we know the creation of worlds is not determined by the falling of grains of sand? Who, after all, knows the reciprocal ebb and flow of the infinitely big and the infinitely small, the reverberation of causes in the chasms of a being, the avalanches of creation? A — Victor Hugo

At that moment, in the temple of her lovers' tangled limbs, Lea felt the presence of the Divine close by, immanent and imminent - everywhere and everywhen - and it was a sublime feeling, one that made her feel infinitely powerful and infinitely small, both at the same time.

A good fuck can make even an agnostic see God - a fact that explained Lea's parents' fascination with Tantra, something about which Lea thought as little as possible. — K.D. West

When it is all too much; when the news is so bad meditation itself feels useless, and a single life feels too small a stone to offer on the altar of Peace, find a Human Sunrise. Find those people who are committed to changing our scary reality. Human sunrises are happening all over the earth, at every moment. People gathering, people working to change the intolerable, people coming in their robes and sandals or in their rags and bare feet, and they are singing, or not, and they are chanting, or not. But they are working to bring peace, light, compassion, to the infinitely frightening downhill slide of Human life. — Alice Walker

By nature, by necessity itself, [primitive man] is encyclopedic, while civilized man finds himself confined in the infinitely small regions of specialization. — Charles Baudelaire

How fathomless the mystery of the Unseen is! We cannot plumb its depths with our feeble senses - with eyes which cannot see the infinitely small or the infinitely great, nor anything too close or too distant, such as the beings who live on a star or the creatures which live in a drop of water ... with ears that deceive us by converting vibrations of the air into tones that we can hear, for they are sprites which miraculously change movement into sound, a metamorphosis which gives birth to harmonies which turn the silent agitation of nature into song ... with our sense of smell, which is poorer than any dog's ... with our sense of taste, which is barely capable of detecting the age of a wine!
Ah! If we had other senses which would work other miracles for us, how many more things would we not discover around us! — Guy De Maupassant

Every sign, linguistic or nonlinguistic, spoken or written (in the usual sense of this opposition), as a small or large unity, can be cited, put between quotation marks; thereby it can break with every given context, and engender infinitely new contexts in an absolutely nonsaturable fashion. This does not suppose that the mark is valid outside its context, but on the contrary that there are only contexts without any center of absolute anchoring. This citationality, duplication, or duplicity, this iterability of the mark is not an accident or anomaly, but is that (normal/abnormal) without which a mark could no longer even have a so-called "normal" functioning. What would a mark be that one could not cite? And whose origin could not be lost on the way? — Jacques Derrida

A quantity which is increased or decreased by an infinitely small quantity is neither increased nor decreased. — Johann Bernoulli

My own understanding is the sole treasure I possess, and the greatest. Though infinitely small and fragile in comparison with the powers of darkness, it is still a light, my only light. — C. G. Jung

The Universe, the whole infinite Universe. The infinite suns, the infinite distances between them, and yourself an invisible dot on an invisible dot, infinitely small. — Douglas Adams

Faithful horoscope-watching, practiced daily, provides just the sort of small but warm and infinitely reassuring fillip that gets matters off to a spirited start. — Shana Alexander

Those who pretend to investigate the transcendental truths of the Being based on pure reasoning fall in the same mistake as someone who, ignoring how to use the science's modern instruments, tries to study the life of what is infinitely small with telescopes and the life of what is infinitely large with microscopes. — Samael Aun Weor

It may sound reactionary, I know. But we can all feel it. We've changed the way we think of ourselves as citizens. We don't think of ourselves as citizens in the old sense of being small parts of something larger and infinitely more important to which we have serious responsibilities. We do still think of ourselves as citizens in the sense of being beneficiaries
we're actually conscious of our rights as American citizens and the nation's responsibilities to us and ensuring we get our share of the American pie. We think of ourselves now as eaters of the pie instead of makers of the pie. So who makes the pie?
...
Something has happened where we've decided on a personal level that it's all right to abdicate our individual responsibility to the common good and let government worry about the common good while we all go about our individual self-interested business and struggle to gratify our various appetites. — David Foster Wallace

Again, the "distance" between being and nonbeing is qualitatively infinite, and so it is immaterial here how small, simple, vacuous, or impalpably indeterminate a physical state or event is: it is still infinitely removed from non-being and infinitely incapable of having created itself out of nothing. — David Bentley Hart

He was looking for immensity. His life was hopelessly small, everything surrounding him was nondescript and gray. And death is absolute; it is indivisible and indissoluble.
The presence of the girl was pathetic (a few caresses and a lot of meaningless words), but her absolute absence was infinitely grand; when he imagined a girl buried in a field, he suddenly discovered the nobility of pain and the grandeur of love.
But it was not only the absolute but also bliss he was looking for in his dreams of death. — Milan Kundera

I used to think I was the only one who felt things. but I really am only one infinitely small part of an aching humanity. It's a good thing most people bleed on the inside or this would really be a gory, blood-smeared earth. — Beatrice Sparks

That in morals, as in all other branches of knowledge, the gravest errors are the dogmas of science; that, even in works of justice, to be mistaken is a privilege which ennobles man; and that whatever philosophical merit may attach to me is infinitely small. To name a thing is easy: the difficulty is to discern it before its appearance. In giving expression to the last stage of an idea, - an idea which permeates all minds, which to-morrow will be proclaimed by another if I fail to announce it to-day, - I can claim no merit save that of priority of utterance. Do we eulogize the man who first perceives the dawn? — Pierre-Joseph Proudhon

In Fyodor Dostoyevsky's great novel The Brothers Karamazov, there is a scene in which two people are talking about suffering. Ivan Karamazov is talking about there being any possibility that we can make sense of suffering, and here's what he says: "I believe like a child that suffering will be healed and made up for, that all the humiliating absurdity of human contradictions will vanish like a pitiful mirage, like the despicable fabrication of the impotent and infinitely small Euclidean mind of man, that in the world's finale, at the moment of eternal harmony, something so precious will come to pass that it will suffice for all hearts, for the comforting of all resentments, for the atonement of all the crimes of humanity, of all the blood that they've shed; that it will make it not only possible to forgive but to justify all that has happened."11 — Timothy Keller

An infinitely unpleasant fraction of a second is a small price to pay for the opportunity to stride across eternity. — R. Curtis Venture

The point of equilibrium will be known by the criterion that an infinitely small amount of commodity exchanged in addition, at the same rate, will bring neither gain nor loss of utility. — William Stanley Jevons

It's a strange feeling, praying into your hands, filling the air between them with words. We think of divinity as something infinitely big, but it is also infinitely small - the condensation of your breath on your palms, the ridges in your fingertips, the warm space between your shoulder and the shoulder next to you. — G. Willow Wilson

Perhaps we humans are cosmic dwarfs; perhaps we are molecular giants. But there is no denying our mid-scale complexity. We humans live neither at the range of the infinitely small, nor at that of the infinitely large, but we might well live at the range of the infinitely complex. We live at the range of the most caring; we ourselves might embody the most capacity for caring. — Holmes Rolston III

I think; here I lie under a haystack ... The tiny space I occupy is so infinitely small in comparison with the rest of space, in which I am not, and which has nothing to do with me; and the period of time in which it is my lot to live is so petty beside the eternity in which I have not been, and shall not be ... And in this atom, this mathematical point, the blood is circulating, the brain is working and wanting something ... Isn't it loathsome? Isn't it petty? — Ivan Turgenev

The role of the infinitely small in nature is infinitely great. — Louis Pasteur

Where the subject lies so far beyond our reach, the difference between the highest and the lowest of human understandings may indeed be calculated as infinitely small; yet the degree of weakness may perhaps be measured by the degree of obstinacy and dogmatic confidence. — Edward Gibbon

And what are these fluxions? The velocities of evanescent increments. And what are these same evanescent increments? They are neither finite quantities, nor quantities infinitely small, nor yet nothing. May we not call them the ghosts of departed quantities ... ? — George Berkeley

She figured that the main problem in physics is physicists, that most of them are caught in a mind trap because they're so used to things being made of smaller things. So they instinctively believe that reality, at its most basic level, must be made up of and regulated by almost infinitely small elementary particles. — Rajnar Vajra

The world is big but it is comprehensible, says R. Buckminster Fuller. But it seems to me that the world is not nearly big enough and that any portion of its surface, left unpaved and alive, is infinitely rich in details and relationships, in wonder, beauty, mystery comprehensible only in part. The very existence of existence is itself suggestive of the unknown - not a problem, but a mystery. We will never get to the bottom of it, never know the whole of even so small and trivial and useless and precious a place as Aravaipa. Therein lies our redemption. — Edward Abbey

Everyone else not real-very distant, small figures. I would have to swim a thousand miles to reach the margin of the relationship, on the other side of which might lie other people, and it was too far, I was too tired.
The almost infinitely extending network of that relationship; its dense weave That's what held me- — Susan Sontag

I believe like a child that suffering will be healed and made up for, that all the humiliating absurdity of human contradictions will vanish like a pitiful mirage, like the despicable fabrication of the impotent and infinitely small Euclidean mind of man, that in the world's finale, at the moment of eternal harmony, something so precious will come to pass that it will suffice for all hearts, for the comforting of all resentments, for the atonement of all the crimes of humanity, for all the blood that they've shed; that it will make it not only possible to forgive but to justify all that has happened. — Fyodor Dostoyevsky

I looked for it but I found no way out of this wild logical thicket. This was a tangle every bit as unknown and terrifying as that behind the Green Wall These were creatures just as extraordinary and incomprehensible, and they said as much with no words. I imagined that I saw through some kind of thick class the square root of minus one-infinitely huge and at the same time infinitely small, scorpion-shaped, with that hidden but always sensed sting of the minus sign... But maybe that is nothing except my "soul," like the legendary scorpion of the ancients, which would deliberately sting itself with everything that... — Yevgeny Zamyatin

Leo Tolstoy's A Confession is possibly the most important document of the last two centuries for understanding our current plight. The dogmas of modern unbelief had captured his elite circle of Russian intellectuals, artists, and members of the social upper crust, and the implications of it slowly destroyed the basis of his life. On those dogmas only two things are real: particles and progress. "Why do I live?" he asked. And the answer he got was, "In infinite space, in infinite time, infinitely small particles change their forms in infinite complexity, and when you have understood the laws of those mutations of form you will understand why you live on the earth". — Dallas Willard

The sea was the first thing he had found that was large enough to absorb his sorrow.

...Perdu would drift on his back, his feet pointing toward the beach. There, on the waves, with the water spilling through his outspread fingers, he drew up from the depths of his memory every hour he had spent with Manon. He examined each one until he no longer felt any regret that it was past, then he let it go.

So Jean let the waves rock him, raise him up and pass him on. And slowly, infinitely slowly, he began to trust. Not the sea, far from it; no one should make that mistake! Jean Perdu trusted himself again. He wouldn't go under; he wouldn't drown in his emotions.

And each time he abandoned himself to the sea another small grain of fear trickled out of him. It was his way of praying. — Nina George

Like all real treasures of the mind, perception can be split into infinitely small fractions without losing its quality. The weeds in a city lot convey the same lesson as the redwoods; the farmer may see in his cow-pasture what may not be vouchsafed to the scientist adventuring in the South Seas. — Aldo Leopold

Can anything match that first fine discovery of the telephone and all it stood for? That first realization that, contained within ten simple digits, lay the infinitely possible? Out there ... lay six billion ears, all the people in the world available for contact and mystery and insult, unable to resist the beckoning of one small and villainous forefinger. — Alan Coren

Change appears to us mysterious because it is invisible. It is impossible to see a tree grow tall or a man grow old, except with the precarious imagination of hindsight. A tree is small, and later it is tall. A man is young, and later he is old. A people are at peace, and later they are at war. In each case, the intermediate states are at once infinitely many and infinitely complex, which is why they exceed our finite perceptions. — Daniel Tammet

[The infinitely small] neither have nor can have theory; it is a dangerous instrument in the hands of beginners [ ... ] anticipating, for my part, the judgement of posterity, I would dare predict that this method will be accused one day, and rightly, of having retarded the progress of the mathematical sciences. — Francois-Joseph Servois

I must not hesitate to acknowledge where Europe is great, for great she is without doubt. We cannot help loving her with all our heart, and paying her the best homage of our admiration, - the Europe who, in her literature and art, pours out an inexhaustible cascade of beauty and truth fertilizing all countries and all time; the Europe who, with a mind which is titanic in its untiring power, is sweeping the height and the depth of the universe, winning her homage of knowledge from the infinitely great and the infinitely small, applying all the resources of her great intellect and heart in healing the sick and alleviating those miseries of man which up till now we were contented to accept in a spirit of hopeless resignation; the Europe who is making the earth yield more fruit than seemed possible, coaxing and compelling the great forces of nature into man's service. Such true greatness must have its motive power in spiritual strength. — Rabindranath Tagore

I also require much time to ponder over the matters themselves, and particularly the principles of mechanics (as the very words: force, time, space, motion indicate) can occupy one severely enough; likewise, in mathematics, the meaning of imaginary quantities, of the infinitesimally small and infinitely large and similar matters. — Heinrich Hertz

It happened very fast. And now that he's dead he can't remember pain. It's as if he'd never existed.'
He wanted her to believe this, but he wasn't sure he believed it himself. If time was infinite, then three seconds and three years represented the same infinitely small fraction of it. And so, if inflicting three years of fear and suffering was wrong, as everyone would agree, then inflicting three seconds of it was no less wrong. He caught a fleeting glimpse of God in the math here, in the infinitesimal duration of a life. No death could be quick enough to excuse inflicting pain. If you were capable of doing the math, it meant that a morality was lurking in it. — Jonathan Franzen

If a nonnegative quantity was so small that it is smaller than any given one, then it certainly could not be anything but zero. To those who ask what the infinitely small quantity in mathematics is, we answer that it is actually zero. Hence there are not so many mysteries hidden in this concept as they are usually believed to be. These supposed mysteries have rendered the calculus of the infinitely small quite suspect to many people. Those doubts that remain we shall thoroughly remove in the following pages, where we shall explain this calculus. — Leonhard Euler

We spend our lives on a thin slice between the unimaginably small scales of the atoms that compose us and the infinitely large scales of galaxies. — David Eagleman

A mathematician of the first rank, Laplace quickly revealed himself as only a mediocre administrator; from his first work we saw that we had been deceived. Laplace saw no question from its true point of view; he sought subtleties everywhere; had only doubtful ideas, and finally carried the spirit of the infinitely small into administration. — Napoleon Bonaparte

Why do i live? In the infinity of space, and infinity of time infinitely small particles mutate with infinite complexity. When you understand the laws of these mutations, you'll understand why you live. — Leo Tolstoy

Francis began the actual illumination of the lambskin. The intricacies of scrollwork and the excruciating delicacy of the gold-inlay work would, because of the brevity of his spare-project time, make it a labor of many years; but in a dark sea of centuries wherein nothing seemed to flow, a lifetime was only brief eddy, even for the man who lived it. There was a tedium of repeated days and repeated seasons; then there were aches and pains, finally Extreme Unction, and a moment of blackness at the end-or at the beginning, rather. For then the small shivering soul who had endured the tedium, endured it badly or well, would find itself in a place of light, find itself absorbed in the burning gaze of infinitely compassionate eyes as it stood before the Just One. And then the King would say: "Come," or the King would say: "Go," and only for that moment had the tedium of years existed. It would be hard to believe differently during such an age as Francis knew. — Walter M. Miller Jr.

Man lives between the infinitely large and the infinitely small. — Blaise Pascal

It is required to find the infinitely big inside what's infinitely small to feel the presence of God. — Pythagoras

A thought no less than a thing, an idea equally with an empire, is resolved into a complex of infinitely extensive relations between infinitesimally small parts. — Sangharakshita

I really am only one infinitely small part of an aching humanity. — Beatrice Sparks

To sit on the front steps - whether it's a veranda in a small town or a concrete stoop in a big city - and to talk to our neighborhoods is infinitely more important than to huddle on the living-room lounger and watch a make-believe world in not-quite living color. — Harvey Milk

There is no beyond, there is only here, the infinitely small, infinitely great and utterly demanding present. — Iris Murdoch

There was a feeling, not sudden, but complete, as though I had been given a small object to hold unseen in my hands. Precious as opal, smooth as jade, weighty as a river stone, more fragile than a bird's egg. Infinitely still, live as the root of Creation. Not a gift, but a trust. Fiercely to cherish, softly to guard. The words spoke themselves and disappeared into the groined shadows of the roof. — Diana Gabaldon

Amidst his chaotic thoughts, Ellis thought of Clairey's face, and he clung to that image. He conjured the radiant glow of her eyes when she was pleased with something, and the small, bashful smile that was fleeting but infinitely more priceless because of its rarity. Clairey's memory was the light that came on the heels of a black and starless night. She was the most beautiful woman he had ever known. It was more than her looks that drew him to this conclusion; it was her kindness, her strength, her spirit. Somehow, the thought of her tethered him to sanity. — Tracy Winegar

My being subsists only from a supreme point of view which is precisely incompatible with my point of view. The perspective in which I fade away for my eyes restores me as a complete image for the unreal eye to which I deny all images. A complete image with reference to a world devoid of image which imagines me in the absence of any imaginable figure. The being of a nonbeing of which I am the infinitely small negation which it instigates as its profound harmony. In the night shall I become the universe? — Maurice Blanchot

Lead looked to his hand and saw sparkling chunks of glass in the cracks of the road. He saw ants running around the cracks, infinitely small. His blood ran into the cracks, creating rivers for the industrious ants to perplex over. Lead smiled at the creatures, for he understood that there is no difference between them and us in their wanderings and labor. — Nathan Yocum

The world of science lives fairly comfortably with paradox. We know that light is a wave, and also that light is a particle. The discoveries made in the infinitely small world of particle physics indicate randomness and chance, and I do not find it any more difficult to live with the paradox of a universe of randomness and chance and a universe of pattern and purpose than I do with light as a wave and light as a particle. Living with contradiction is nothing new to the human being. — Madeleine L'Engle

We've changed the way we think of ourselves as citizens. We don't think of ourselves as citizens in the old sense of being small parts of something larger and infinitely more important to which we have serious responsibilities. We do still think of ourselves as citizens in the sense of being beneficiaries - we're actually conscious of our rights as American citizens and the nation's responsibilities to us and ensuring we get our share of the American pie. We think of ourselves now as eaters of the pie instead of makers of the pie. So who makes the pie? — David Foster Wallace

The fear of an unknown never resolves, because the unknown expands infinitely outward, leaving you to cling pitifully to any small shelter of the known: a cracker has twelve calories; the skin, when cut, bleeds. — Caroline Kettlewell

Information is not like money or any other commodity. The cracks that it can slip through are almost infinitely small, and it can be duplicated at almost zero cost. Soon information will be like air, like the weather, and as easy to control. — David Brin

A canny reader here may object that there's some kind of Zenoid sleight of hand going on in the above proof, and might ask why a similar hankie procedure and series couldn't be applied to the irrational numbers to quote-unquote prove that the total % of Line-space taken up by the irrationals is also 2*(Infinitesimally small symbol). The reason such a proof can't work is that, no matter how infinitely or even (Infinity to the Infinity symbol) ly many red hankies you drape, there will always be more irrational numbers than hankies. Always. Cantor proved this, too. — David Foster Wallace

Life is merely a fraction of a second. An infinitely small amount of time to fulfill our desires, our dreams, our passions. — Paul Gauguin

The infinitely small have a pride infinitely great. — Voltaire

Life exists only at this very moment, and in this moment it is infinite and eternal. For the present moment is infinitely small; before we can measure it, it has gone, and yet it persists for ever. — Alan W. Watts

Who then understands the reciprocal flux and reflux of the infinitely great and the infinitely small, the echoing of causes in the abysses of being, and the avalanches of creation? — Victor Hugo

If time was infinite, then three seconds and three years represented the same infinitely small fraction of it. — Jonathan Franzen

He never imagined, when his daughter was small and infinitely, eternally lovable, that he would ever develop a combative relationship with her. — Kate Atkinson

In the twentieth century nothing can better cure the anthropocentrism that is the author of all our ills than to cast ourselves into the physics of the infinitely large (or the infinitely small). — Julio Cortazar

You can divide infinity an infinite number of times, and the resulting pieces will still be infinitely large," Uresh said in his odd Lenatti accent. "But if you divide a non-infinite number an infinite number of times the resulting pieces are non-infinitely small. Since they are non-infinitely small, but there are an infinite number of them, if you add them back together, their sum is infinite. This implies any number is, in fact, infinite."
"Wow," Elodin said after a long pause. He leveled a serious finger at the Lenatti man. "Uresh. Your next assignment is to have sex. If you do not know how to do this, see me after class. — Patrick Rothfuss

The future of humanity is uncertain, even in
the most prosperous countries, and the quality
of life deteriorates; and yet I believe that what
is being discovered about the infinitely large
and infinitely small is sufficient to absolve this
end of the century and millennium. What a very
few are acquiring in knowledge of the physical
world will perhaps cause this period not to be
judged as a pure return of barbarism. — Primo Levi

The simplicity of nature is not to be measured by that of our conceptions. Infinitely varied in its effects, nature is simple only in its causes, and its economy consists in producing a great number of phenomena, often very complicated, by means of a small number of general laws. — Pierre-Simon Laplace

Might one not say that in the chance combination of nature's production, since only those endowed with certain relations of suitability could survive, it is no cause for wonder that this suitability is found in all species that exist today? Chance, one might say, produced an innumerable multitude of individuals; a small number turned out to be constructed in such fashion that the parts of the animal could satisfy its needs; in another, infinitely greater number, there was neither suitability nor order: all of the later have perished; animals without a mouth could not live, others lacking organs for reproduction could not perpetuate themselves: the only ones to have remained are those in which were found order and suitability; and these species, which we see today, are only the smallest part of what blind fate produced. — Pierre-Louis Moreau De Maupertuis

I love all things, not only the grand but the infinitely small: thimble, spurs, plates, flower vases ... — Pablo Neruda

If the whole earth is infinitely small in comparison with the sphere of the stars, what is man compared with all these created beings! — Maimonides