Arguments Against Eternal Return
Nietzsche scholar Walter Kaufmann has described an argument originally put forward by Georg Simmel, which rebuts the claim that a finite number of states must repeat within an infinite amount of time:
Even if there were exceedingly few things in a finite space in an infinite time, they would not have to repeat in the same configurations. Suppose there were three wheels of equal size, rotating on the same axis, one point marked on the circumference of each wheel, and these three points lined up in one straight line. If the second wheel rotated twice as fast as the first, and if the speed of the third wheel was 1/π of the speed of the first, the initial line-up would never recur.
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Famous quotes containing the words arguments, eternal and/or return:
“‘Tis happy, therefore, that nature breaks the force of all sceptical arguments in time, and keeps them from having any considerable influence on the understanding. Were we to trust entirely to their self-destruction, that can never take place, ‘till they have first subverted all conviction, and have totally destroy’d human reason.”
—David Hume (1711–1776)
“What we know is not capable of being otherwise; of things capable of being otherwise we do not know, when they have passed outside our observation, whether they exist or not. Therefore the object of knowledge is of necessity. Therefore it is eternal; for things that are of necessity in the unqualified sense are all eternal; and things that are eternal are ungenerated and imperishable.”
—Aristotle (384–323 B.C.)
“I believe in the brotherhood of man, all men, but I don’t believe in brotherhood with anybody who doesn’t want brotherhood with me. I believe in treating people right, but I’m not going to waste my time trying to treat somebody right who doesn’t know how to return the treatment.”
—Malcolm X (1925–1965)