Quote of John Cage: the last lines of his 'Autobiographical Statement', April, 1990 http://www.johncage.org/autobiographical_statement.html
1990s
“It now remains that we find the amount of time of descent through the channel. This we shall obtain from the marvelous property of the pendulum, which is that it makes all its vibrations, large or small, in equal times. This requires, once and for all, that two or three or four patient and curious friends, having noted a fixed star that stands against some fixed marker, taking a pendulum of any length, shall go counting its vibrations during the whole time of return of the fixed star to its original point, and this will be the number of vibrations in 24 hours. From the number of these we can find the number of vibrations of any other pendulums, longer or shorter, at will, so that if for example those counted by us in 24 hours were 234,567, then taking another shorter pendulum with which one counts 800 vibrations while another counts 150 of the longer pendulum, we already have, by the golden rule, the number of vibrations for the whole time of 24 hours; and if we want to know the time of descent through the channel, we can easily find not only the minutes, seconds, and sixtieths of seconds, but beyond that as we please. It is true that we can pass a more exact measure by having observed the flow of water through a thin passage, for by collecting this and having weighed what passes in one minute, for example, then by weighing what passes in the time of descent through the channel we can find the most exact measure and quantity of this time, especially by making use of a balance so precise as to weigh one sixtieth of a grain.”
Letter to Giovanni Battista Baliani (1639)
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Galileo Galilei 70
Italian mathematician, physicist, philosopher and astronomer 1564–1642Related quotes
"The Larger College".
In Classic Shades, and Other Poems (1890)
“We take no note of time but from its loss.”
Actually Night I, lines 55-56 of Young's Night Thoughts.
Misattributed
The Usurpation Of Language (1910)
Context: Philosophy has been called the search for the Permanent amid the changing. With this account of philosophy there is no need to quarrel. But having accepted it, a distinction remains to be observed, a distinction of capital importance, which we are in constant danger of forgetting. It is one thing to find the Permanent; it is another thing to find a form of words in which the Permanent shall stand permanently expressed. It is one thing to experience something fixed and changeless; it is another thing to fix this something by a changeless definition. The first may be possible, while the second remains impossible for ever.
End of Ch. 10<!-- quoted in The Advancement of Science, and Its Burdens (1986) by p. 232 -->; the "Congregation of the Index" (the official inquisition censors) declared<!-- on 15 May 1620 --> that the last sentence of this statement was one of eleven passages which should be removed from the work, in this case because it was perceived as implying that God designed things in accord with the Copernican system, rather than that of Ptolemy.
De revolutionibus orbium coelestium (1543)
Context: The forward and backward arcs appear greater in Jupiter than in Saturn and smaller than in Mars, and on the other hand greater in Venus than in Mercury. This reversal in direction appears more frequently in Saturn than in Jupiter, and also more rarely in Mars and Venus than in Mercury. Moreover, when Saturn, Jupiter, and Mars rise at sunset, they are nearer to the earth than when they set in the evening or appear at a later hour. But Mars in particular, when it shines all night, seems to equal Jupiter in size, being distinguished only by its reddish color. Yet in the other configurations it is found barely among the stars of the second magnitude, being recognized by those who track it with assiduous observations. All these phenomena proceed from the same cause, which is the earth's motion.
Yet none of these phenomena appears in the fixed stars. This proves their immense height, which makes even the sphere of the annual motion, or its reflection, vanish from before our eyes. For, every visible object has some measure of distance beyond which it is no longer seen, as is demonstrated in optics. From Saturn, the highest of the planets, to the sphere of the fixed stars there is an additional gap of the largest size. This is shown by the twinkling lights of the stars. By this token in particular they are distinguished from the planets, for there had to be a very great difference between what moves and what does not move. So vast, without any question, is the divine handiwork of the most excellent Almighty.
Miscellaneous Works and Correspondence (1832), Demonstration of the Rules relating to the Apparent Motion of the Fixed Stars upon account of the Motion of Light.