Interpreted as truth-functional, “if A then B” is equivalent to “A→B” is equivalent to “~A ∨ B”. Which is true whenever A is false, regardless of its relation to B or lack thereof.
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Interpreted as truth-functional, “if A then B” is equivalent to “A→B” is equivalent to “~A ∨ B”. Which is true whenever A is false, regardless of its relation to B or lack thereof.