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:
“Because a person is born the subject of a given state, you deny the sovereignty of the people? How about the child of Cuban slaves who is born a slave, is that an argument for slavery? The one is a fact as well as the other. Why then, if you use legal arguments in the one case, you don’t in the other?”
—Franz Grillparzer (1791–1872)
“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.”
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“I shall return in the dark and be seen,
Be led to my own room by well-intentioned hands,
Placed in a box with a lid whose underside is dark
So as to grow....”
—John Ashbery (b. 1927)