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:
“It has often been argued that absolute scepticism is self-contradictory; but this is a mistake: and even if it were not so, it would be no argument against the absolute sceptic, inasmuch as he does not admit that no contradictory propositions are true. Indeed, it would be impossible to move such a man, for his scepticism consists in considering every argument and never deciding upon its validity; he would, therefore, act in this way in reference to the arguments brought against him.”
—Charles Sanders Peirce (1839–1914)
“It is impossible to give a clear account of the world, but art can teach us to reproduce it—just as the world reproduces itself in the course of its eternal gyrations. The primordial sea indefatigably repeats the same words and casts up the same astonished beings on the same sea-shore.”
—Albert Camus (1913–1960)
“The traveller who has gone to Italy to study the tactile values of Giotto, or the corruption of the Papacy, may return remembering nothing but the blue sky and the men and women who live under it.”
—E.M. (Edward Morgan)