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It seems to me that, even if you are a brain in a vat, 1 +1 = 2 is going to be true, regardless of what the evil genius does, in an analogical way similar to the fact that, even if you're a brain in a vat, you still know whether or not you are in pain.
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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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