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:
“Argument is conclusive ... but ... it does not remove doubt, so that the mind may rest in the sure knowledge of the truth, unless it finds it by the method of experiment.... For if any man who never saw fire proved by satisfactory arguments that fire burns ... his hearer’s mind would never be satisfied, nor would he avoid the fire until he put his hand in it ... that he might learn by experiment what argument taught.”
—Roger Bacon (c. 1214–1294)
“Make us eternal truths receive,
And practice all that we believe:
Give us thyself, that we may see
The Father and the Son, by thee.”
—Charlemagne (1559?–1634)
“At twelve, the disintegration of afternoon
Began, the return to phantomerei, if not
To phantoms. Till then, it had been the other way:
One imagined the violet trees but the trees stood green,
At twelve, as green as ever they would be.
The sky was blue beyond the vaultiest phrase.”
—Wallace Stevens (1879–1955)