this post was submitted on 17 Jan 2024
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No Stupid Questions

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[–] Boinkage@lemmy.world 98 points 9 months ago (3 children)

No. It is equal to "if not B, then not A." You're welcome for doing your logic 101 homework for you.

[–] pineapplelover@lemm.ee 31 points 9 months ago

First thing I thought lmao. Somebody is taking logic

[–] monotremata@kbin.social 4 points 9 months ago

Honestly what the homework is probably looking for is that it's equivalent to "B or not A." But yeah.

[–] XeroxCool@lemmy.world 0 points 9 months ago* (last edited 9 months ago) (3 children)

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"

[–] pruwybn@discuss.tchncs.de 10 points 9 months ago

You left out the "not" part - "If not pizza lunch, then not Tuesday" does indeed work.

[–] Boinkage@lemmy.world 9 points 9 months ago* (last edited 9 months ago) (1 children)

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

[–] XeroxCool@lemmy.world 2 points 9 months ago

That's a key detail I now see

[–] kogasa@programming.dev 5 points 9 months ago

Using standard definitions from propositional logic they are equivalent.