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Why does a false hypothesis imply a true statement? In my mind, a false hypothesis doesn't deny the possibility of the conclusion, but it doesn't confirm it either. From my understanding, in math, we only say a statement is true if it is a tautology. But the invalidity of the hypothesis does not imply the conclusion being a tautology, in fact it says nothing about it. So therefore there is no guarantee a conclusion is satisfiable nor falsifiable if the hypothesis is false.
Can someone explain to me where my misunderstanding is?
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