You're confused, Mantus. It might be true that numbers are just symbols. But they're symbols of two things; the statement 2+2=4 means that if you take two things, add two things to them, you'll have four things. Your so-called counter examples only serve to show that we can be mistaken about whether or not we actually have two things.
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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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