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.
Read more about this topic: Eternal Return
Famous quotes containing the words arguments, eternal and/or return:
“When I am convinced of any principle, it is only an idea which strikes more strongly upon me. When I give the preference to one set of arguments above another, I do nothing but decide from my feeling concerning the superiority of their influence.”
—David Hume (1711–1776)
“And all my days are trances,
And all my nightly dreams
Are where thy dark eye glances,
And where thy footstep gleams—
In what ethereal dances,
By what eternal streams.”
—Edgar Allan Poe (1809–1849)
“Compassion is frequently a sense of our own misfortunes, in those of other men; it is an ingenious foresight of the disasters that may fall upon us hereafter. We relieve others, that they may return the like when our occasions call for it; and the good offices we do them are, in strict speaking, so many kindnesses done to ourselves beforehand.”
—François, Duc De La Rochefoucauld (1613–1680)