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Infinity is...erm...spoken of in many ways. Most commonly, I've heard it used as a certain sort of quantity. Any set which is such that it is at least as large as the natural numbers (1, 2, 3, ...) is infinite in size. Lebell is right that there are different sizes of infinity. Georg Cantor proved that the set of real numbers is strictly larger than the set of natural numbers, and also that the power set* of any infinite set is larger than that set. Most mathematicians today hold to the continuum hypothesis, which is that there are no sets of a size between the natural numbers (N), the power set of N, the power set of the power set of N, etc.
*A power set is the set of all subsets of a set. So if my set is {1, 2, 3}, the power set would be {{1}, {2}, {3}, {1,2}, {2,3}, {1,3}, {1,2,3}}
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"Die Deutschen meinen, daß die Kraft sich in Härte und Grausamkeit offenbaren müsse, sie unterwerfen sich dann gerne und mit Bewunderung:[...]. Daß es Kraft giebt in der Milde und Stille, das glauben sie nicht leicht."
"The Germans believe that power must reveal itself in hardness and cruelty and then submit themselves gladly and with admiration[...]. They do not believe readily that there is power in meekness and calm."
-- Friedrich Nietzsche
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