Side Quotes (13 quotes)
He is unworthy of the name of man who is ignorant of the fact that the diagonal of a square is incommensurable with its side.
— Plato
Quoted by Sophie Germain: Mémorie sur les Surfaces Élastiques. In Robert Édouard Moritz, Memorabilia Mathematica (1914), 211
In the case of those solids, whether of earth, or rock, which enclose on all sides and contain crystals, selenites, marcasites, plants and their parts, bones and the shells of animals, and other bodies of this kind which are possessed of a smooth surface, these same bodies had already become hard at the time when the matter of the earth and rock containing them was still fluid. And not only did the earth and rock not produce the bodies contained in them, but they did not even exist as such when those bodies were produced in them.
The Prodromus of Nicolaus Steno's Dissertation Concerning a Solid Body enclosed by Process of Nature within a Solid (1669), trans. J. G. Winter (1916), 218.
It is a happy world after all. The air, the earth, the water teem with delighted existence. In a spring noon, or a summer evening, on whichever side I turn my eyes, myriads of happy beings crowd upon my view. 'The insect youth are on the wing.' Swarms of new-born flies are trying their pinions in the air. Their sportive motions, their wanton mazes, their gratuitous activity testify their joy and the exultation they feel in their lately discovered faculties ... The whole winged insect tribe, it is probable, are equally intent upon their proper employments, and under every variety of constitution, gratified, and perhaps equally gratified, by the offices which the author of their nature has assigned to them.
Natural Theology: or, Evidences of the Existence and Attributes of The Deity, Collected from the Appearances of Nature (1802), 490-1.
Jupiter was very large and bright. Apparently, there was a small reddish star appended to its side. This is called “an alliance.”
[Observation in summer 365 B.C., speculated to be of Ganymede.]
[Observation in summer 365 B.C., speculated to be of Ganymede.]
— Gan De
In the lost book Suixing Jing (Treatise on Jupiter), quoted in the extensive compilation Kaiyuan Zhanjing, (The Kaiyuan Treatise on Astrology (compiled 718-726). As given Helaine Selin, Encyclopaedia of the History of Science, Technology, and Medicine in Non-Western Cultures (1997), 342. It has been speculated that it was the moon Ganymede beside Jupiter, by Xi Zezong in 'The Discovery of Jupiter’s Satellite Made by Gan De 2000 years Before Galileo,' Chinese Physics (1982), 2, No. 3, 664–67.
Man cannot afford to be a naturalist, to look at Nature directly, but only with the side of his eye. He must look through and beyond her.
From Journal entry (23 Mar 1953), in Henry David Thoreau and Bradford Torrey (ed.), Journal (1906), Vol. 5, 45.
The most ominous conflict of our time is the difference of opinion, of outlook, between men of letters, historians, philosophers, the so-called humanists, on the one side and scientists on the other. The gap cannot but increase because of the intolerance of both and the fact that science is growing by leaps and bounds.
The History of Science and the New Humanism (1931), 69.Omnious;Conflict;Difference;Opinion;Outlook;Men OfLetters;Historian;Philosopher;Humanist;So-Called;Scientist;Gap;Intolerance;Fact;Growth;Leap;Bound
The teacher can seldom afford to miss the questions: What is the unknown? What are the data? What is the condition? The student should consider the principal parts of the problem attentively, repeatedly, and from from various sides.
In How to Solve It: A New Aspect of Mathematical Method (2004), 77
To most ... of us, Russia was as mysterious and remote as the other side of the moon and not much more productive when it came to really new ideas or inventions. A common joke of the time [mid 1940s] said that the Russians could not surreptitiously introduce nuclear bombs in suitcases into the United States because they had not yet been able to perfect a suitcase.
In Richard Rhodes, The Making of the Atomic Bomb (1986), 760.
To sum up all, let it be known that science and religion are two identical words. The learned do not suspect this, no more do the religious. These two words express the two sides of the same fact, which is the infinite. Religion—Science, this is the future of the human mind.
In Victor Hugo and Lorenzo O'Rourke (trans.) Victor Hugo's Intellectual Autobiography: (Postscriptum de ma vie) (1907), 325.
We know less about the ocean's bottom than about the moon's back side.
Quoted in obituary, Physics Today (Feb 1992) 120.
We must in imagination sweep off the drifted matter that clogs the surface of the ground; we must suppose all the covering of moss and heath and wood to be torn away from the sides of the mountains, and the green mantle that lies near their feet to be lifted up; we may then see the muscular integuments, and sinews, and bones of our mother Earth, and so judge of the part played by each of them during those old convulsive movements whereby her limbs were contorted and drawn up into their present posture.
Letter 2 to William Wordsworth. Quoted in the appendix to W. Wordsworth, A Complete Guide to the Lakes, Comprising Minute Direction for the Tourist, with Mr Wordsworth's Description of the Scenery of the County and Three Letters upon the Geology of the Lake District (1842), 15.
When you wish to instruct, be brief; that men's minds take in quickly what you say, learn its lesson, and retain it faithfully. Every word that is unnecessary only pours over the side of a brimming mind.
In Norbert Guterman, The Anchor Book of Latin Quotations (1990), 193.
You cannot ask us to take sides against arithmetic.
At the heart of science is an essential balance between two seemingly contradictory attitudes--an openness to new ideas, no matter how bizarre or counterintuitive they may be, and the most ruthless skeptical scrutiny of all ideas, old and new. This is how deep truths are winnowed from deep nonsense. -- Carl Sagan
