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Who said: “As far as the laws of mathematics refer to reality, they are not certain; and as far as they are certain, they do not refer to reality.”
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Move Quotes (30 quotes)

δος μοι που στω και κινω την γην — Dos moi pou sto kai kino taen gaen (in epigram form, as given by Pappus, classical Greek).
δος μοι πα στω και τα γαν κινάσω — Dos moi pa sto kai tan gan kinaso (Doric Greek).
Give me a place to stand on and I can move the Earth.
About four centuries before Pappas, but about three centuries after Archimedes lived, Plutarch had written of Archimedes' understanding of the lever:
Archimedes, a kinsman and friend of King Hiero, wrote to him that with a given force, it was possible to move any given weight; and emboldened, as it is said, by the strength of the proof, he asserted that, if there were another world and he could go to it, he would move this one.
A commonly-seen expanded variation of the aphorism is:
Give me a lever long enough and a place to stand, and I can move the earth.
As attributed to Pappus (4th century A.D.) and Plutarch (c. 46-120 A.D.), in Sherman K. Stein, Archimedes: What Did He Do Besides Cry Eureka? (1999), 5, where it is also stated that Archimedes knew that ropes and pulley exploit “the principle of the lever, where distance is traded for force.” Eduard Jan Dijksterhuis, in his book, Archimedes (1956), Vol. 12., 15. writes that Hiero invited Archimedes to demonstrate his claim on a ship from the royal fleet, drawn up onto land and there loaded with a large crew and freight, and Archimedes easily succeeded. Thomas Little Heath in The Works of Archimedes (1897), xix-xx, states according to Athenaeus, the mechanical contrivance used was not pulleys as given by Plutarch, but a helix., Heath provides cites for Pappus Synagoge, Book VIII, 1060; Plutarch, Marcellus, 14; and Athenaeus v. 207 a-b. What all this boils down to, in the opinion of the Webmaster, is the last-stated aphorism would seem to be not the actual words of Archimedes (c. 287 – 212 B.C.), but restatements of the principle attributed to him, formed by other writers centuries after his lifetime.
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Changements arrivées dans le globe: Quand on a vu de ses yeux une montagne s’avancer dans une plaine, c’est-à-dire un immense rocher de cette montagne se détacher et couvrir des champs, un château tout entier enfoncé dans la terre, un fleuve englouti qui sort ensuite de son abîme, des marques indubitables qu’un vaste amas d’eau inondait autrefois un pays habité aujourd’hui, et cent vestiges d’autres révolutions, on est alors plus disposé à croire les grands changements qui ont altéré la face du monde, que ne l’est une dame de Paris qui sait seulement que la place où est bâtie sa maison était autrefois un champ labourable. Mais une dame de Naples, qui a vu sous terre les ruines d’Herculanum, est encore moins asservie au préjugé qui nous fait croire que tout a toujours été comme il est aujourd’hui.
Changes That Have Occurred in the Globe: When we have seen with our own eyes a mountain progressing into a plain; that is to say, an immense boulder separating from this mountain and covering the fields; an entire castle broken into pieces over the ground; a river swallowed up which then bursts out from its abyss; clear marks of a vast amount of water having once flooded regions now inhabited, and a hundred vestiges of other transformations, then we are much more willing to believe that great changes altered the face of the earth, than a Parisian lady who knows only that the place where her house was built was once a cultivated field. However, a lady from Naples who has seen the buried ruins of Herculaneum, is much less subject to the bias which leads us to believe that everything has always been as it is today.
From article 'Changements arrivées dans le globe', in Dictionnaire philosophique (1764), collected in Œuvres Complètes de Voltaire (1878), Vol. 2, 427-428. Translated by Ian Ellis.
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Across the communication landscape move the specters of sinister technologies and the dreams that money can buy.
In the Introduction to the French edition (1984) of Crash (1974),
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Adapting from the earlier book Gravitation, I wrote, “Spacetime tells matter how to move; matter tells spacetime how to curve.” In other words, a bit of matter (or mass, or energy) moves in accordance with the dictates of the curved spacetime where it is located. … At the same time, that bit of mass or energy is itself contributing to the curvature of spacetime everywhere.
With co-author Kenneth William Ford Geons, Black Holes, and Quantum Foam: A Life in Physics (1998, 2010), 235. Adapted from his earlier book, co-authored with Charles W. Misner and Kip S. Thorne, Gravitation (1970, 1973), 5, in which one of the ideas in Einstein’s geometric theory of gravity was summarized as, “Space acts on matter, telling it how to move. In turn, matter reacts back on space, telling it how to curve”.
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After a tremendous task has been begun in our time, first by Copernicus and then by many very learned mathematicians, and when the assertion that the earth moves can no longer be considered something new, would it not be much better to pull the wagon to its goal by our joint efforts, now that we have got it underway, and gradually, with powerful voices, to shout down the common herd, which really does not weigh arguments very carefully?
Letter to Galileo (13 Oct 1597). In James Bruce Ross (ed.) and Mary Martin (ed., trans.), 'Comrades in the Pursuit of Truth', The Portable Renaissance Reader (1953, 1981), 599. As quoted and cited in Merry E. Wiesner, Early Modern Europe, 1450-1789 (2013), 377.
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An evolution is a series of events that in itself as series is purely physical, — a set of necessary occurrences in the world of space and time. An egg develops into a chick; … a planet condenses from the fluid state, and develops the life that for millions of years makes it so wondrous a place. Look upon all these things descriptively, and you shall see nothing but matter moving instant after instant, each instant containing in its full description the necessity of passing over into the next. … But look at the whole appreciatively, historically, synthetically, as a musician listens to a symphony, as a spectator watches a drama. Now you shall seem to have seen, in phenomenal form, a story.
In The Spirit of Modern Philosophy: An Essay in the Form of Lectures (1892), 425.
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Charles Babbage proposed to make an automaton chess-player which should register mechanically the number of games lost and gained in consequence of every sort of move. Thus, the longer the automaton went on playing game, the more experienced it would become by the accumulation of experimental results. Such a machine precisely represents the acquirement of experience by our nervous organization.
In ‘Experimental Legislation’, Popular Science (Apr 1880), 16, 754-5.
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Every lecture should state one main point and repeat it over and over, like a theme with variations. An audience is like a herd of cows, moving slowly in the direction they are being driven towards. If we make one point, we have a good chance that the audience will take the right direction; if we make several points, then the cows will scatter all over the field. The audience will lose interest and everyone will go back to the thoughts they interrupted in order to come to our lecture.
In 'Ten Lessons I Wish I Had Been Taught', Indiscrete Thoughts (2008), 196.
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I watched Baeyer activating magnesium with iodine for a difficult Grignard reaction; it was done in a test tube, which he watched carefully as he moved it gently by hand over a flame for three quarters of an hour. The test tube was the apparatus to Baeyer.
In Richard Willstätter, Arthur Stoll (ed. of the original German) and Lilli S. Hornig (trans.), From My Life: The Memoirs of Richard Willstätter (1958), 140.
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I will be moving through the book as if on a train looking out at the beautiful landscape of the Arts.
Anonymous
An opinion posted on yougov.com (13 Jan 2017) describing reading a novel set after the Russian Revolution with much historical background, stimulating the reader’s interest on the literature, painting and performing arts of the time.
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In theory one is aware that the earth revolves but in practice one does not perceive it, the ground on which one treads seems not to move, and one can live undisturbed. So it is with Time in one's life. (1918)
'À l’ombre des jeunes filles en fleurs', À la recherche du temps perdu (1913-27).
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It’s an advantage up here for older folks because in Zero-g you can move around much more easily.
Replying to a Delta Middle School students’ question during a school forum held using a downlink with the Discovery Space Shuttle mission 31 Oct 1998. On NASA web page 'STS-95 Educational Downlink'. Jeff Butz, Matt Lewis, Dawn VanDyke and Jessica Burger asked “Senator Glenn, do you feel younger when you are in space?”
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Nature produces those things which, being continually moved by a certain principle contained in themselves, arrive at a certain end.
Aristotle
In 'Physics' as quoted by Henry Fairfield Osborn in Address (29 Dec 1925) for the Opening of the new Peabody Museum of Yale University, 'The Origin of Species 1859-1925', The Scientific Monthly (Mar 1926), Vol. 22, 190.
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Of all the constituents of the human body, bone is the hardest, the driest, the earthiest, and the coldest; and, excepting only the teeth, it is devoid of sensation. God, the great Creator of all things, formed its substance to this specification with good reason, intending it to be like a foundation for the whole body; for in the fabric of the human body bones perform the same function as do walls and beams in houses, poles in tents, and keels and ribs in boats.
Bones Differentiated by Function
Some bones, by reason of their strength, form as it were props for the body; these include the tibia, the femur, the spinal vertebrae, and most of the bony framework. Others are like bastions, defense walls, and ramparts, affording natural protection to other parts; examples are the skull, the spines and transverse processes of the vertebrae, the breast bone, the ribs. Others stand in front of the joints between certain bones, to ensure that the joint does not move too loosely or bend to too acute an angle. This is the function of the tiny bones, likened by the professors of anatomy to the size of a sesame seed, which are attached to the second internode of the thumb, the first internode of the other four fingers and the first internodes of the five toes. The teeth, on the other hand, serve specifically to cut, crush, pound and grind our food, and similarly the two ossicles in the organ of hearing perform a specifically auditory function.
From De Humani Corporis Fabrica Libri Septem: (1543), Book I, 1, as translated by William Frank Richardson, in 'Nature of Bone; Function of Bones', On The Fabric of the Human Body: Book I: The Bones and Cartilages (1998), 1.
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Rivers are roads which move, and which carry us whither we desire to go.
In Pascal’s Pensées (1958), 6.
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Science moves, but slowly, slowly, creeping on from point to point. ...
Yet I doubt not through the ages one increasing purpose runs,
And the thoughts of men are widened with the process of the suns.…
Knowledge comes, but wisdom lingers…
In poem, 'Locksley Hall', collected in Poems by Alfred Tennyson (1842), Vol. 1, 105-106.
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Some think that the earth remains at rest. But Philolaus the Pythagorean believes that, like the sun and moon, it revolves around the fire in an oblique circle. Heraclides of Pontus, and Ephantus the Pythagorean make the earth move, not in a progressive motion, but like a wheel in a rotation from west to east about its own center.
From Preface to Book on the Revolutions.
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Spacetime tells matter how to move; matter tells spacetime how to curve.
With co-author Kenneth William Ford Geons, Black Holes, and Quantum Foam: A Life in Physics (1998, 2010), 235. Adapted from his earlier book, co-authored with Charles W. Misner and Kip S. Thorne, Gravitation (1970, 1973), 5, in which one of the ideas in Einstein’s geometric theory of gravity was summarized as, “Space acts on matter, telling it how to move. In turn, matter reacts back on space, telling it how to curve”.
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Suppose it were perfectly certain that the life and fortune of every one of us would, one day or other, depend upon his winning or losing a game of chess. Don't you think that we should all consider it to be a primary duty to learn at least the names and the moves of the pieces; to have a notion of a gambit, and a keen eye for all the means of giving and getting out of check? Do you not think that we should look with a disapprobation amounting to scorn upon the father who allowed his son, or the state which allowed its members, to grow up without knowing a pawn from a knight?
Yet, it is a very plain and elementary truth that the life, the fortune, and the happiness of every one of us, and, more or less, of those who are connected with us, do depend upon our knowing something of the rules of a game infinitely more difficult and complicated than chess. It is a game which has been played for untold ages, every man and woman of us being one of the two players in a game of his or her own. The chess-board is the world, the pieces are the phenomena of the universe, the rules of the game are what we call the laws of nature. The player on the other side is hidden from us. We know that his play is always fair, just, and patient. But also we know, to our cost, that he never overlooks a mistake, or makes the smallest allowance for ignorance. To the man who plays well the highest stakes are paid with that sort of overflowing generosity with which the strong shows delight in strength. And one who plays ill is checkmated—without haste, but without remorse.
Address to the South London Working Men’s College. 'A Liberal Education; and Where to Find It', in David Masson, (ed.), Macmillan’s Magazine (Mar 1868), 17, 369. Also in 'A Liberal Education and Where to Find it' (1868). In Collected Essays (1893), Vol. 3, 82.
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The dance is four-dimensional art in that it moves concretely in both space and time. For the onlooker, it is an art largely of visual space combined with time. But for the dancer, and this is more important, the dance is more a muscular than a visual space rhythm, a muscular time, a muscular movement and balance. Dancing is not animated sculpture, it is kinesthetic.
In Art Is Action: A Discussion of Nine Arts in a Modern World (1939), 56.
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The infinite! No other question has ever moved so profoundly the spirit of man; no other idea has so fruitfully stimulated his intellect; yet no other concept stands in greater need of clarification than that of the infinite.
Address in memory of Karl Weierstrass. As quoted in Journal of the University of Bombay (1933), 2, 201. Also in Tobias Dantzig, Number: The Language of Science (1937), 237. Also partially quoted as epigraph in in James Roy Newman, The World of Mathematics (1956), Vol. 3, 1593. which dates the address as 1921. Another translation for perhaps the same address ('On the Infinite'), in honor of Weierstrass, dates it as 4 Jun 1925, in Paul Benacerraf (ed.) Philosophy of Mathematics (1983), 183. See this alternate version elsewhere on this page, beginning, “From time immemorial…”.
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The physicist is like someone who’s watching people playing chess and, after watching a few games, he may have worked out what the moves in the game are. But understanding the rules is just a trivial preliminary on the long route from being a novice to being a grand master. So even if we understand all the laws of physics, then exploring their consequences in the everyday world where complex structures can exist is a far more daunting task, and that’s an inexhaustible one I'm sure.
In Lewis Wolpert and Alison Richards, A Passion For Science (1988), 37.
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The point of mathematics is that in it we have always got rid of the particular instance, and even of any particular sorts of entities. So that for example, no mathematical truths apply merely to fish, or merely to stones, or merely to colours. … Mathematics is thought moving in the sphere of complete abstraction from any particular instance of what it is talking about.
In 'Mathematics', Science and the Modern World (1926, 2011), 27.
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The Pole moves from day to day. Perhaps if commander Byrd did not strike the exact spot with his flag the Pole will find the flag.
In 'Quotation Marks', New York Times (15 Dec 1929), XX4. Byrd made the first flight over the South Pole on 29 Nov 1929 and dropped a small American flag.
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The sun alone appears, by virtue of his dignity and power, suited for this motive duty (of moving the planets) and worthy to become the home of God himself.
As quoted in Änne Bäumer-Schleinkofer, Science and Religion (1989), 10.
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The world, nature, human beings, do not move like machines. The edges are never clear-cut, but always frayed. Nature never draws a line without smudging it.
From Great Contemporaries (1937), 113. Writing about Herbert Henry Asquith, British Prime Minister (1908-16), the context of this quote was the necessity for a leader to have flexibility of judgment in the face of change.
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To me, it [the 1962 space flight of Friendship 7] is not something that happened a long time ago. It seems like a couple of days ago, really. It’s a rare day I don’t think about it, relive it in my mind. I can remember every switch I flipped, every move I made, every word I spoke and every word spoken to me. Clear as a bell.
As reported by Howard Wilkinson in 'John Glenn Had the Stuff U.S. Heroes are Made of', The Cincinnati Enquirer (20 Feb 2002).
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Yet the widespread [planetary theories], advanced by Ptolemy and most other [astronomers], although consistent with the numerical [data], seemed likewise to present no small difficulty. For these theories were not adequate unless they also conceived certain equalizing circles, which made the planet appear to move at all times with uniform velocity neither on its deferent sphere nor about its own [epicycle's] center … Therefore, having become aware of these [defects], I often considered whether there could perhaps be found a more reasonable arrangement of circles, from which every apparent irregularity would be derived while everything in itself would move uniformly, as is required by the rule of perfect motion.
From Nicholaus Copernicus, Edward Rosen (trans.), Pawel Czartoryski (ed.) 'Commentariolus', in Nicholas Copernicus: Minor Works (1985), 81-83. Excerpted in Lisa M. Dolling, Arthur F. Gianelli and Glenn N. Statile (eds.) The Tests of Time: Readings in the Development of Physical Theory (2003), 40.
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[On common water.] Its substance reaches everywhere; it touches the past and prepares the future; it moves under the poles and wanders thinly in the heights of air. It can assume forms of exquisite perfection in a snowflake, or strip the living to a single shining bone cast up by the sea.
From essay 'The Flow of the River', collected in The Immense Journey: An Imaginative Naturalist Explores the Mysteries of Man and Nature (1957, 1959), 16.
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[On suburbia] We’re bringing up our children in one-class areas. When they grow up and move to a city or go abroad, they’re not accustomed to variety and they get uncertain and insecure. We should bring up our children where they’re exposed to all types of people.
As quoted in Frances Glennon, 'Student and Teacher of Human Ways', Life (14 Sep 1959), 147.
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Carl Sagan Thumbnail In science it often happens that scientists say, 'You know that's a really good argument; my position is mistaken,' and then they would actually change their minds and you never hear that old view from them again. They really do it. It doesn't happen as often as it should, because scientists are human and change is sometimes painful. But it happens every day. I cannot recall the last time something like that happened in politics or religion. (1987) -- Carl Sagan
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