Discrete Math Proofs in 22 Minutes (5 Types, 9 Examples) 

What convenient timing! My discrete math final is literally tomorrow!

Respect from Kazakhstan, I am a freshman at Kazakh-British Technical University, and you help me a lot with your videos about discrete mathematics ❤

I'm currently studying Discrete Mathematics right now on my own. These proofs are a good summary of what I've been doing. Right now I'm working through the How To Prove It Book by Daniel J. Velleman. I find your channel to be very helpful. Thank you for your videos!👋

Convenient! My discrete math final is in 4 days :O.

In the first example of proof by contradiction, "If a is rational and ab is irrational, then b is irrational" Isn't starting with the assumption b is rational and coming to the conclusion ab is rational instead of irrational, same as proof by contrapositive? a is rational and ab is irrational -> b is irrational (P -> Q) b is rational -> a is rational and ab is rational (NOT Q -> NOT P)

YOOOOOO. Timing impeccable.

Yeah, another banger

isn't base case for last example n = 1?

thanks man!

thanks man

7:07 I’m confused that question says “show that for x and y are positive numbers..” but you wrote “x - y = 0”?

Look at this guy, it's like he has a timer for these things.

should it be: x= 2a for ALL a € Z?

Would an If and only if case require a proof by contrapositive and a direct proof?

good video but Im ngl idk how you proved these, If you could show your answer actually works that would be great. For a^2 not divisible by 4, if you could show how your final proof actually proves it is then that would be great.

some of your proofs are too hard to follow man, too many shortcuts for mere mortals