"Science has gone down into the mines and coal-pits, and before the safety-lamp the Gnomes and Genii of those dark regions have disappeared [...] Sirens, mermaids, shining cities glittering at the bottom of quiet seas and in deep lakes, exist no longer; but in their place, Science, their destroyer, shows us whole coasts of coral reef constructed by the labours of minute creatures; points to our own chalk cliffs and limestone rocks as made of the dust of myriads of generations of infinitesimal beings that have passed away; reduces the very element of water into its constituent airs, and re-creates it at her pleasure." (Charles Dickens, Poetry of Science, [Book review of Robert Hunt]1848)
"A modern branch of mathematics, having achieved the art of dealing with the infinitely small, can now yield solutions in other more complex problems of motion, which used to appear insoluble. This modern branch of mathematics, unknown to the ancients, when dealing with problems of motion, admits the conception of the infinitely small, and so conforms to the chief condition of motion (absolute continuity) and thereby corrects the inevitable error which the human mind cannot avoid when dealing with separate elements of motion instead of examining continuous motion. In seeking the laws of historical movement just the same thing happens. The movement of humanity, arising as it does from innumerable human wills, is continuous. To understand the laws of this continuous movement is the aim of history." (Lev N Tolstoy, "War and Peace", 1867)
"Arriving at infinitesimals, mathematics, the most exact of sciences, abandons the process of analysis and enters on the new process of the integration of unknown, infinitely small, quantities." (Lev N Tolstoy, "War and Peace", 1867)
"Only by reducing this element of free will to the infinitesimal, that is, by regarding it as an infinitely small quantity, can we convince ourselves of the absolute inaccessibility of the causes, and then instead of seeking causes, history will take the discovery of laws as its problem."
"Only by taking infinitesimally small units for observation (the differential of history, that is, the individual tendencies of men) and attaining to the art of integrating them (that is, finding the sum of these infinitesimals) can we hope to arrive at the laws of history." (Lev N Tolstoy, "War and Peace", 1867)
"To-day alone was real. Never was man brought into contact with reality save through the evanescent emotions and sensations of that single moment, that infinitesimal fraction of a second, which was passing now - and it was in the insignificance of this moment, precisely, that religious persons must believe. So ran the teachings of all dead and lingering faiths alike. Here was, perhaps, only another instance of mankind's abhorrence of actualities; and man's quaint dislike of facing reality was here disguised as a high moral principle. That was why all art, which strove to make the sensations of a moment soul-satisfying, was dimly felt to be irreligious. For art performed what religion only promised." (James B Cabell, "The Cream of the Jest", 1917)
"Measured objectively, what a man can wrest from Truth by passionate striving is utterly infinitesimal. But the striving frees us from the bonds of the self and makes us comrades of those who are the best and the greatest." (Albert Einstein, cca. 1920s)
"It is venturesome to think that a coordination of words (philosophies are nothing more than that) can resemble the universe very much. It is also venturesome to think that of all these illustrious coordinations, one of them - at least in an infinitesimal way - does not resemble the universe a bit more than the others." (Jorge L Borges, "Discussion", 1932)
"To be so closely caught up in the teeth of things that they kill you, no matter how infinitesimally kill you, is, truly, to be a poet: and to be a poet in fact it is additionally necessary that you should possess the tongues and instruments with which to record this series of infinitesimal deaths." (George Barker,"Therefore All Poems Are Elegies", 1940)
"An ugliness unfurled in the moonlight and soft shadow and suffused the whole world. If I were an amoeba, he thought, with an infinitesimal body, I could defeat ugliness. A man isn’t tiny or giant enough to defeat anything." (Yukio Mishima, "The Sailor Who Fell from Grace with the Sea", 1963)
"The creative element in the mind of man [...] emerges in as mysterious a fashion as those elementary particles which leap into momentary existence in great cyclotrons, only to vanish again like infinitesimal ghosts." (Loren Eiseley, "The Night Country", 1971)
"It is tempting to wonder if our present universe, large as it is and complex though it seems, might not be merely the result of a very slight random increase in order over a very small portion of an unbelievably colossal universe which is virtually entirely in heat-death. Perhaps we are merely sliding down a gentle ripple that has been set up, accidently and very temporarily, in a quiet pond, and it is only the limitation of our own infinitesimal range of viewpoint in space and time that makes it seem to ourselves that we are hurtling down a cosmic waterfall of increasing entropy, a waterfall of colossal size and duration." (Isaac Asimov, 1976)
"I wonder if being sane means disregarding the chaos that is life, pretending only an infinitesimal segment of it is reality." (Rabih Alameddine, "Koolaids: The Art of War", 1998)
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