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”
Comment on Is "If A then B" equal to "B if and only if A"?
Boinkage@lemmy.world 5 months ago
No. It is equal to “if not B, then not A.” You’re welcome for doing your logic 101 homework for you.
XeroxCool@lemmy.world 5 months ago
pruwybn@discuss.tchncs.de 5 months ago
You left out the “not” part - “If not pizza lunch, then not Tuesday” does indeed work.
Boinkage@lemmy.world 5 months ago
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.
XeroxCool@lemmy.world 5 months ago
That’s a key detail I now see
kogasa@programming.dev 5 months ago
Using standard definitions from propositional logic they are equivalent.
monotremata@kbin.social 5 months ago
Honestly what the homework is probably looking for is that it's equivalent to "B or not A." But yeah.
pineapplelover@lemm.ee 5 months ago
First thing I thought lmao. Somebody is taking logic