Is "If A then B" equal to "B if and only if A"?
Is "If A then B" equal to "B if and only if A"?
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58 comments
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No. It is equal to "if not B, then not A." You're welcome for doing your logic 101 homework for you.
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First thing I thought lmao. Somebody is taking logic
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Honestly what the homework is probably looking for is that it's equivalent to "B or not A." But yeah.
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Edit: I see the error in my below response. I leave wrong answers for conversational completeness
That's not equivalent either. "if not b, then not a" works if it's a sequence but doesn't work for options in which multiple inputs can lead to the same output. If you get pizza every Tuesday and Friday, then answering "what's for lunch" with "if Tuesday, then pizza" and "if Friday, then pizza" doesn't let it work in reverse. "what day is it" can't be answered with "if pizza lunch, then Tuesday"
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You left out the "not" part - "If not pizza lunch, then not Tuesday" does indeed work.
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Ya wrong.
If Tuesday, then pizza. And, if Friday, then pizza.
The contrapositive : if not pizza, then not Tuesday and not Friday.
What day is it? We're not having pizza. So it's not Tuesday or Friday.
Google contrapositives then holla back
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That's a key detail I now see
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Using standard definitions from propositional logic they are equivalent.
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58 comments