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Nice read; R. Ellis nails it by picking out the key sentence: My rules are the axioms, and they are axioms not because they are really, really true; they are a
by nmc 13y ago
Nice read; R. Ellis nails it by picking out the key sentence:
My rules are the axioms, and they are axioms not because they are really, really true; they are axioms because I say they are.
Always remember: mathematics are abstract, you (the mathematician) control the system, so you pick the axioms.