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:
“Through Plato Aristotle came to believe in God, but Plato never attempted to prove His reality. Aristotle had to do so. Plato contemplated Him; Aristotle produced arguments to demonstrate Him. Plato never defined Him, but Aristotle thought God through logically and concluded with entire satisfaction to himself that He was the Unmoved Mover.”
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“We wished our two souls
might return like gulls
to the rock. In the end,
the water was too cold for us.”
—Robert Lowell (1917–1977)