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A Counterexample (n.) refutes ⁠​‌​​​‌​​​‌​‌‌​​​​‌​‌​​‌‌​‌​​‌​​​​​‌‌​​‌​​​‌‌​‌‌​⁠a mathematical generality from within, not as a one-eyed man refutes every man has two eyes.