[Discrete Mathematics] Truth Tables Examples

We do some practice questions with truth tables to find logical equivalence.

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In this video we use truth tables to prove tautologies and contingencies.

Hello, welcome to TheTrevTutor. I'm here to help you learn your college courses in an easy, efficient manner. If you like what you see, feel free to subscribe and follow me for updates. If you have any questions, leave them below. I try to answer as many questions as possible. If something isn't quite clear or needs more explanation, I can easily make additional videos to satisfy your need for knowledge and understanding.

[Trevtutor]

It comes with video lectures, text lectures, practice problems, solutions, and a practice final exam!

[annalindborg]

I've just found this "classes". Soooo helpful for me to get the basics of discrete mathematics! Thank you!

[akywongster]

I’ve been struggling so hard with this stuff but u make it look so easy omg ur brilliant

[KambeleChatroom]

thanks very much, i never understood these stuffs in class. love you so much Trev

[ossahmadrezaazimikohnabi]

I wish I had a question 😂♥️ but thanks a lot for high quality teaching.

[HDitzzDH]

2:31 Pretty sure the fourth row is supposed to be false ( 0 —> 1 )

[eimaldorani]

[( A → B ) ∧ A] → B is a tautology

However, instead of [( A → B ) ∧ A] we can not take B, isn't it?
I mean [( A → B ) ∧ A] is not the same as B, isn't it? @03:16 to 03:23

[LR-wfoq]

About 2:12
Guys, k->j = 1 if and only if k<=j

[briananderson]

Why is: 'not P' = 1 + 'not(p or not q)= 0 in the 'Conditional' not = 0?

[mikaelsag]

is there an easy way to solve these problems without drawing out a truth table that i should know at this point, or is it normal do make truth tables for all of these problems

[karimalrawas]

you have stated in a previous video, that if a p=1 and q=0 in a conditional then p--->q = 0, yet here u put a 1, im i wrong???

[liloupalomino]

3:05 You say you're simplifying. I would've thought [-(p || -q)->-p] would simplify to [(-p || q)->-p], but you say it simplifies to [(-p && q)->-p]. Can you explain why this is the case? Am I missing something?

[jonakatin]

i love this playlist buh can you recommend like a site or a book where I can get more activities

[fancyAlex]

why is 2:31 true ? Shouldn't it be false ?

[shegetsitdone]

Please what of word problems on this topic

[sulemanahmed]

If I study Hard -- then I will pass == Satisfied with result :)
If I study Hard -- then I don't pass == not satisfied with result :(
If I don't study hard -- then I pass == F**k Yeah I am satisfied :D
I I don't study hard -- then I don't pass == F**k it, I didn't study so I am satisfied with results :)

i found this comment on another youtube video and it explains if then truth table. Hopefully this helps. If this is wrong let me know.

[johnfred]

`~(p v~q)--> ~p can you explain more better cos i don't get the logic

[Mahanmarwat]

You are putting 1 0 on the P column but our teacher is putting 0 1 on the P column. What should I put?
i.e
P
1
0
Our teacher:
P
0
1
I have learned that these are the binary equivalent of 0 and 1 and so on. i.e binary of 0 is 0 and binary of 1 is 1. So the first column starts from 0 and so on. So we should put first 0 then 1. Why are you doing the positive?

[selvakumar-vdoy]

admin ... can you explain the meaning of arrow ???

[neharikapuri]

for biconditionals the rule u said was "when am I lying to u, so for not(p v not q) for last one its like one is true and the other is false why is it true then. Its like u didn't put sunscreen but it was sunny or vice versa, either way on one side u r lying