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First day of Discrete Math 💀 (lemmy.blahaj.zone)

submitted 2 days ago by SuperNovaStar@lemmy.blahaj.zone to c/mathmemes@lemmy.blahaj.zone

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I'm already so done with this course.

My textbook:

p: "The weather is bad."

Exercise:

Represent "the weather is good" using logical symbols.

Me: How am I supposed to answer that? You didn't give me a letter for that. I guess I'll use q?

Expected answer: ~p

THIS IS LITERALLY THE CLASS ABOUT LOGIC DHDJFBDHDJDHDHDH

Who let neurotypicals write a logic textbook istg

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[–] andros_rex@lemmy.world 32 points 2 days ago (14 children)

The point is they introduced p “the weather is bad.” To represent “the weather is good” you want to negate p. ~p - the opposite of p, the opposite of “the weather is bad.” Be economical with your symbols.

[–] SuperNovaStar@lemmy.blahaj.zone 8 points 2 days ago (13 children)

Ok, but the inverse of "bad" would be "not bad."

"Good" =/= "not bad" because there are other potential states for the weather to be in. The weather could be "fine" or even "weird", for instance.

[–] andros_rex@lemmy.world 22 points 2 days ago (12 children)

Most of the time, I think discrete is taught with an eye to computer science, right? You are trying to reduce things to binary or at least discrete outcomes - things that can be represented with 5V or 0V. True or false. The weather is good or it is not good. The weather is bad or it is not bad.

This isn’t English class - rules will be a little different. Like, to most math problems I could be a smart ass and say “the answer is some y in the set of real numbers.” There’s different concepts at work here.

[–] SuperNovaStar@lemmy.blahaj.zone 4 points 2 days ago* (last edited 2 days ago)

The weather is good or it is not good. The weather is bad or it is not bad.

That's exactly what I said, is it not?

Also,

This isn’t English class - rules will be a little different.

Obviously. In English, "opposite" means antonyms. Good would be the opposite of bad, as would splendid, terrific, and amazing.

But logical opposites work on set theory. The opposite of A is !A, not Z.

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