LOGIC LAWS - DISCRETE MATHEMATICS
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- เผยแพร่เมื่อ 30 ก.ย. 2024
- Today we talk about different laws in logic. These laws are used universally in mathematics, so memorizing the names and these rules will be very helpful in later mathematics.
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-Playlists-
Discrete Mathematics 1: • Discrete Math (Sets, L...
Discrete Mathematics 2: • Discrete Math (Countin...
-Recommended Textbooks-
Discrete and Combinatorial Mathematics (Grimaldi): amzn.to/2T0iC53
Discrete Mathematics (Johnsonbaugh): amzn.to/2Hh7H41
Discrete Mathematics and Its Applications (Rosen): amzn.to/3lUgrMI
Book of Proof (Hammack): amzn.to/35eEbVg
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![[Discrete Mathematics] Logic Laws Examples](http://i.ytimg.com/vi/386Hpy6txtU/mqdefault.jpg)
![[Discrete Mathematics] Logic Laws Examples](/img/tr.png)
Check out my new course in Propositional Logic: trevtutor.com/p/master-discrete-mathematics-propositional-logic
It comes with video lectures, text lectures, practice problems, solutions, and a practice final exam!
Schools definitely forget the importance of hiring good teachers. Give your students AT THE VERY LEAST a good math teacher. My professor literally just showed us slides with all the laws and then gave us statements telling us to solve them. When we asked how it was supposed to be done, he said to only look at the laws and then for sure we'd get it. We didn't even know what the laws meant. He could solve the problems, but COULD NOT tell us how. Considering the fact that he was pretty young, it sucks having to fill in his gaps. He just couldn't tell what the laws meant, he literally just told us to LOOK.
Seems pretty petty this comment, but it frustrates me so much how I've learned more in the 15 minutes it took me to watch this video, than the 4 hours we've spent with him.
Thank you for this video~
Byun Baekhyun I know your pain man
North American education system is very flawed, their goal is only to get money from students and many professors do not care as well.
That's the classic maths teacher mistake. Many gifted mathematicians think in an extremely visual way, but they are horrible at expressing that understanding as language. Trev is an excellent tutor because he clearly understands the relationship between raw visual data and language very well, evidenced by the linguistics courses on this channel.
As a self-centered former philosophy major, I will say that we don't put a lot of importance on philosophy as a country. I always assumed myself to be terrible at math, and then I was required to talk formal logic to get my degree. I almost dropped the second degree because I was TERRIFIED of this class. Ended up with a 106 on the final and a predilection for programming. It's amazing. Not everyone learns the same and because you might struggle with math, it doesn't mean you struggle with logic.
Sadly this is the exact same reason im watching this video.
oh my god i'm actually learning.
my professor took a whole week in total to explain all of this and I couldn't comprehend it at all. This man just took 15 minutes to get through all of the laws and made me fully capable to solve any logic laws questions I come across. You are a lifesaver, TrevTutor.
Actually, When I saw that the video is just 15 minutes, I had a feeling that it's not complete
Probably, our brains are haven't fully developed that time.. 😂
My professor left an assignment that he hasn't discussed yet. That's why I am here and I am so glad that it's easy to understand. 😁
If he would teach you this in 15 minutes, would not you report him, since you are paying lots of money to university. Hey mate, don't compare uni vs youtube.
maybe the cute girl sitting 2 seats away was too much of a distraction?
@@bryllpadasas5618 or there were better things to care about than logic laws (and of course there are!)
These are the best Discrete Math videos I have ever come across.
... I have ever came across.
You LITERALLY saved me and my gpa
Damn, its crazy how I was trying to learn this for so long, and now I just learned how the rules work in 15 minutes. I'm starting to like math.
The distributive law example with 3x(2+1) was genius. I am able to remember it now. Thanks!
Your teaching is incredible! So far just from these videos alone I have learned all about Truth Tables, Set Theory and Propositional Logic in just a couple of weeks. Straight to the point without jargon and easy to follow. I'm sure others agree :)
Dude, thanks alot. You gave me the ability to succesfully use these laws.
Almighty GOD has given you the ability. TheTrevTutor just helped you.
ROWNITA SHEIKH I agree. ❤️
@@rownitasheikh8343 Nope , God doesn't exist ; he's as useful as a genie , therefor thanks should go to Trev-Tutor for helping this lad understand math let's give thanks to people who deserves it instead of imaginary monster who caused hatred and thousands of years of blood shedding .
@@LeFARaJ If God doesn't exist then your mind and soul doesn't exist too. Get immediate help and educate yourself.
@@abdifatahmoh lol your ollha and mohammd shout go seek help
Thank you so much. I’m taking an online class with no lecture, just a textbook, and it does not explain these things clearly at all. You helped so much. I’ll be back to watch the rest of these I’m sure!
Starting my first sem of CS, he explained it better in 15 mins than my lecturer in 2 hours
honestly I thought i'd never understand logics but thanks to you i'm so confident now.God bless!
Holy crap dude. you really made it simple, I just learned so much more than i expected to watching this video. Your teaching style is great
It's very impressive how the prove of a rule combines every rule shown before.
You literally taught me more in 3 minutes than an entire month of my professor holding classes
I have exams tomorrow and you have just saved my midterms. Thank you that was very helpful!
imma need to binge watch this playlist. we had 2 seatworks and i'm pretty sure i got both 0. your videos are absolutely helpful so thanks. keep making
Trevor can you apply to my university and become my maths teacher. Honestly, you are so good.
I wish. 😭
Discrete math is just a really convoluted way of describing common sense.
I may have had to watch this video 10x....HOWEVER, it is finally coming together. One step at a time. Thank you!! -Visual Learner
Jesus Christ man you're a lifesaver. I couldn't understand other people's shenanigans, this is my 8th video regarding this topic and I have my exams in the next 2 days. Thank you so much
Those who know do, but those who understand teach. Trev , you are an awesome prof! Can you do a master class for my teachers on how to teach?!
yoo are amazing thanks sirrrrr🙏🙏🙏🙏🙏🙏
This man is better than my discrete prof.
The second distributive law does not follow the arithmetic operations .a+(b*c) is not equal to (a+b)*(a+c)
I thought this topic would never be interesting, you proved me wrong. for the first time I'm actually enjoy learning logic
11:46 I like the analytical explanation for conditional law better than when you drew a truth table for not p or q 12:40
Thank you so much man !!!!!! i thought i will not ever understand my class lecture but thanks to you i can understand them now ! i thought i cant learn my current class lecture because im not good at mathematics in preschool and highschool. I'm in college now and i'm really interested in math because of you ! i didnt know that it feels so good learning something math related. Thank you
No complaints about your teaching, it’s superb, but I recommend adding timestamps for the sake of practicality.
Hi There. Thank You Trev for the patience in explaining clearly and step by step this simplification of formulas. God Bless.
I and my inability to focus on anything for more than 20 min thank you for this. No, really, I'm glad I can still learn things even if my depression-induced mental block makes me lose it in class, stare blankly, panic...
Just... thanks. I really appreciate it, dude.
Hey look, a lecturer that does't just copy paste a definition and throw in some examples.
I am sad. Good content but I have not been taught the same law names. Can't use this to cram :(
2nd Distributive law explanation is wrong. If u have A + (B*C) , u cannot insert A into the bracket. The arithmetic explanation doesn't work.
10+(3*3) is NOT THE SAME AS 10(3) + 10(3)
You can practice this logic laws here paqmind.com/courses/programming-beginner/4.logic/exercises/1.1.qz/
Why is it that in DeMorgan's law you distribute the NEGATION but then you have to flip AND to OR and vice-versa, but when you use the distribute law you don't have to flip AND to OR and vice-versa?
GREAT video. you're an awesome teacher!
thank god I have watched your videos and I am getting better understanding about this logics of law. It is so much better than my lecturer who is trying to explain in class for 1 hour and 30 minutes and he also cannot understand what he is talking about, and his handwriting skill is so messy until I cannot even know what he is writing. Anyway, thank you for coming out these kind of videos!!
I did the second one a little bit differently:
~(~p^q)
~~(pvq) .DeMorgan's Law
pvq .Double Negation
Is this still legit? Or do the laws go only one way?
I am an engineering student from India.It help me a lot thanks for this
at 15 seconds in i was lost :D and never recovered :D regardlessly watched 15 minutes of something i have no fucking clue about. am i then insane?
I need help guys, anyone know the answer?please respect
Suppose you are organizing a birthday party for eight people and you are interested in the number of different ways you can arrange the seating of the guest(and yourself).what would be your arrangement?
13:57 Hey, why did you use distributive law instead of abosportion law?
Diffeences between distributive and abosrtion is: the values withn the distributive is different but the values within the abortion is the same as the outside value
Bro I love you... midterms next week and im pissing my pants
How did you do? My midterm is after 9 hours and I'm so freaking scared lol
@@Mujahed. How did you do?😂
@@IOANNISTAVLIKOS honestly I have failed that semester but passed it afterwards. it really depends on the professor and how he bounce the average.
thank you so f*cking much omg u literally saved my uni exams
Amazing video, I cannot thank you enough!
They should teach this in high school, it would be so useful
this shit is so incredibly confusing, no matter how much I try. What a shame
Trev can you please tell me if I am correct in my reasoning? p ⌄ ( p ⌃ q) = p
p = p ⌃ T
( p ⌃ T ) ⌄ ( p ⌃ q ) by subs.
[( p ⌃ T) ⌃ p ] ⌄ [ ( p ⌃ T ) ⌃ q] by Dist.
[p ⌃ ( T ⌃ p )] ⌄ [p ⌃ ( T ⌃ q) ] by Associ.
(p⌃ p) ⌄ (p⌃ q) by Id.
p ⌃ (p ⌄ q) by inverting dist.
again
P= p ⌃ T by inverted Id.
( p ⌃ T ) ⌄ ( p ⌃ q) by Sub.
p ⌃( T ⌄ q ) by inverterting Dist.
p ⌃ T by Domin.
p by Id.
i have my exams at 9 : 00 am and im watching this videos at 6:00 am thank you its so easy to understand now
i understood but ,how do I remember all of these laws
It’s just becoz of u. I cleared my discrete math paper . Thanks a lot n I owe u .
Best video on the internet on logic laws
Did I just realize how the band Q and not U got their name?
Best 15mins I’ve spend wow thanks
THIS IS MUCH BETTER THAN UCL'S LOGIC TEACHER
god bless u hahaa thank you for saving my math grades
~(~P)→ (P v (P^R))
1. P → (P v (P^R)) Double Negation
2. P → P Absorption
Is this right?
I’ve been having problems with these rules since the start of my lectures in university I said to myself it’s literally impossible for me to ever understand it but here you explained it well in only 16 minutes thanks man your a hero
Thank you so much professor Trev!!
I'm putting my efforts in learning logic, and it's proving to me that I need to study my ass out to figure that out...
Could you please point out the main differences between Rosen's and Grimaldi's books on Discrete Maths?
Thank you again!
Very helpful and clear
Exactly my pace
I study math in French language.. But I'm here to understand.. This Really helped me tnx
not( p ^ q) ^ q
is
(not p v not q) ^ q right
is it logical to move the bracket so that
not p v (not q ^ q ) ?
and since not q ^ q always return F
hence:
not p v F,
which is
not p.
but but the answer in the video is not p ^ q
help!
My love for implication law.
Subs for you men this subject fucks me up i cant understand what's my teacher is explaining but with your video i can understand it more
I like it but try to make it public anywhere I mean on other social media like facebook,instagram,twitter.
I actually understand this now/ THANK YOU
In logic statements where you have to determine whether or not something is true, what does "such that" and "one has" mean and what's the difference between them?
Thank you for saving my grade!!!
My teacher is literally useless and this is so much better.
As a college student I love the perspective of having a self study. But because of this, some teachers are seem so lazy to teach or discuss their lessons. Lucky to those who are resourceful.
Sorry, but... not not sounds like noot noot 🐧 And i love it. Thanks for the explanation!
Penguins talk in double negatives 🐧
why did the brackets stay in the last case? Doesn't de morgans law remove brackets? So after that you get: not p or not q and q, but then and needs to be resolved first, which means ~ not p or 0
Learning!
I don't really get why you (this field I guess) uses arrows as =
It's the complete same right?
It's not "equal to" (=), it's "if and only if", which is represented by the ⟺ (arrow) symbol.
Trevor at 8:20 with the absorption law is it only when the ^/v symbols are different inside and outside the brackets? or does it absorb for any combinations of and / or?
Is it normal that discreet mathematics makes my brain hurt? What is the absorption law if P ^ my brain is on fire?
You are the best. love your videos.
2:28 can we use universal bound laws
You are the BEST thanks mannn
My lecturer explained it pretty well but I wasn't listening..
Thanks anyway exam tomorrow -_-
Thankyou for this amazing explanation and questions solved ❤
love from pakistan
Thanks a lot for it, I am understanding everything
loved every second of this video! subscribed
you are the best buddy.......thumbs up for yah.....you are making my forensics class lovable.....
TheTrevTutor you are indeed the savior...
Am just still wondering why some teachers will simply complicate topics and subject to make them so scary and frustrating to understand...
Million thanks to TH-cam and TheTrevTutor
This is a fantastic breakdown. Thank you very much!
Very good video, man. Finally starting to understand this shit
At 9:51, when you use the absorption law on the right side logic, why's it p? Why couldn't it be (P and Q)?
Trev could you please make a video explaining the DPLL procedure/algorithm in logic for satisfiability??? I'm really having issues trying to understand it and I cannot find any decent video that makes it simple enough to understand... I would really appreciate it and I'm sure tons of other people would as well.. Thank you in advance I hope you receive this comment!!!
im still a little confuse but he teaches better than my math prof :))
Try to repeat it and it will be clear
YOU ARE THE BEST!
By the way, do we put or the triple line while writing the laws?
thankyou good lad!!!!!!!!!!!!!!!!!!!!
i don't know how to thank you
This is so crazy
literally you are my hero thank you for that awesome course ❤️
would q and q equal to q?
should i memorize the laws? because there are a lot
Maybe exercise is better than memorizing