Only if you can read
I mean I'm definitely noticing the patterns. I'm just frustrated that someone who is supposedly an expert in logic let something like that slip. Not assuming that logical negation means "opposite" is one of the first things they teach you. For example, if we were thinking in opposites, the negation of "all" would be "none." But the negation of "all" is "not all", where the negation of "none" is "at least one."
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 isnβt 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.
Most of the time, I think discrete is taught with an eye to computer science, right?
Sure. Not everything in computer science is binary, despite the fact that computers run on binary code. For example, sql has the boolean values of "true," "false," and "null." In this system, null !== false, although it does evaluate to false in some situations.
You're much better off teaching set theory properly (which is what the course is aiming for) rather than teaching people to assume that all sets are composed of only two elements.
Most programmers don't even touch binary anyhow. That's all abstracted away by the compiler.
Fair enough. I'm on mobile so I had to pick something other than the actual symbol.
But yeah, ! Would have been better.
No, they did. I'm using ~ because I'm on mobile.
But as anyone who knows even a little bit about set theory, the inverse of a set is everything not in that set. So the inverse of "bad" is "not bad."
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.
Yep! That's exactly it. I'm on mobile
Oh I don't see it as a bad thing. I'm just saying it's ironic.
yw!
~now be mad at this textbook with me~
It really depends π
I don't have the key for the actual symbol on mobile. I should have used ! tho