Logic 101 (#11): Truth Tables
ฝัง
- เผยแพร่เมื่อ 25 ก.ค. 2024
- gametheory101.com/courses/logi...
This lecture introduces truth tables, an algorithmic method used to determine the truth value of complex statements. We begin with the basic algorithm and cover a brief example. The remaining lectures in this unit will cover more complex truth tables.
This makes total sense, and at the same time sounds like whoever invented it was stoned
Because its all made up by meth addicts who plotted to make us all think its smart when we are really just wasting our time as they laugh from the pits of hell
ironic since this is Logic lol
Ironic because the phone he’s watching this video on required formal logic equations to be created. It’s literally how a computer talks to itself
Alright alright. I am in logic right now and I'm trying to find outside sources bc my prof is terrible and my class is only 8 weeks long... STRUGGLING HARD CORE RIGHT NOW. 😭
UPDATE: i have been watching all of these videos and so far... these tiny short little 4-6 minute videos have legit taught me more than my entire logic text book i paid a couple hundred dollars for. or my prof in which i had to pay around 1,500 dollars to take the course. SO THANK YOU MR. WILLIAM SPANIEL A RANDOM TA I FOUND ON TH-cam WHEN SEARCHING "LOGIC FOR DUMMIES" lolol! you are the hero we didn't know we needed.
Girl same.
I have an exam today. I.am.not.ready.
How did the rest of your class and your final go?
@@Ashes2Ashes_Blush2Blush How did your exam go?
I am in the exact same situation - looking for outside resources, terrible professor, class only 8 weeks long, and struggling like motherfucker.
I don't even know why I need to learn this!! I just want to be a Film Producer
I felt this on a spiritual level man 😭
You an me both. I’m in film school for directing right now and I’m like, “Am I gonna need to do this to my line producer or something?”
Don’t you want your movies to make sense?
it exercises your mind to make sense and solving problems, That's Overall the math
Thank u
these online classes are kicking my ass lol
InstaBlaster.
AJAJAJAJ BET
I am so tired of having to learn ridiculous math which i will not even use as a social worker. I get to learn this just to forget it. I have never used this ever in my life anywhere.
Same !
Finance major here. This is so not going to be used and is useless to me too.
Literally! It’s useless I hate college
i wanna be a social worker too !
Omg, I 100% agree with you
when did english and math have a child
I am re-learning all the math I forgot about or didn’t cover when I was in college. And I love this series. Thank you :)
I watch this and realize that this is something that I studied when I took engineerring back in the day and we called it a Boolean expression. It would be represented by using symbols and logic to make graphical icons called logic-gates that allow you to visualize the flow of logic in a different sort of way. You could check those out, as it might make understanding this easier. I had my answer in about two seconds as I scan through that logic tree as he was rattling off why it worked or the method in which he uses. I would listen, noticing all the while that he was explaining what I had already learned. Because, when I look at it using the way that I learned it, the intuitive logic behind the way it is represented allows me to immediately see what is being asked. What an incredible epiphany! Logic rules the world. And is ultimately the way to understand what the true meaning of life is. Good job guys. Keep up the good work.
You just explained truth tables in a way I understood it! My college prof couldnt do it in a whole semester. Thanks!
Thank god I understand this now. All of your videos thus far have explained the material very clearly so thank you!
I'm not sure if it was the format or something else, but when I began watching this video I was so lost and unsure of the correct way to approach this problem. However when you showed the example which previews the #12 example in the next video it all came together for me, and I finished the #12 problem before the next video started and got it all correct! Something in your explanation made it click, thank you so much.
I'm in rage mode. Most of this video was me thinking my phone froze lol
Thank you so much! I struggled understanding this concept but you were a great help
I just took the zero and kept rolling
thanks for doing this. so close to understanding this fully..
huh?
Same
5:26
u made it so clear!
How do you know whether it is true or false? Im studying for a Midterm and I completely do not understand.
well, you don't need to know, because you are considering every single case - what if p is true, and q is false? what of both are true, or both are false? etc, etc. that's why the truth table is so useful, because you could write down all the options and consider it step by step
I hope you figured it out in time! How did your midterm, and final, go?
I had no idea that truth tables were just a way of showing your work in logic. I can imagine someone writing a book defending a syllogism with a truth table they had written and translated into English.
I heard that it's best to start off with false and then true at the end for truth tables. Do you agree?
It's the same process either way, so whatever works for you. I think doing Ts before Fs is more common, though.
@@Gametheory101 Thanks.
The problem with the video is that it is made assuming that the people watching know what all the signs represent.
This is a series of videos. This video is the 11th in the series. The previous videos in the series teach and explain what the signs mean and represent. Therefore, if you watch the series in order, you will know what they represent.
+Travis P 👍🏻
u can download truth table generator TruthTable2 from iTunes Store if u want to check correctness of homework
you made this sound way more complicated and my test is tomorrow
Fuck college. There is less than no point of understanding this. I truly am blown away at the idea this would become useful in real life. Someone please tell me when I will use this?
You already use logical problem solving everyday. One could deduce (hah) that understanding how and why these logical connections are made, as well as getting used to solving more complicated examples, could only lead to better problem solving.
plus you never showed the complete truth tables
is this a direct truth table or an indirect truth table? Let me know!
I'm pretty sure that this (and most) truth tables are direct. I think indirect truth tables are more sophisticated, and I'll keep an eye out for them as I watch the rest of this series.
I thought 2 F = T
Isn't there a difference between => and ->?
They're both the same thing, just notated differently.
hi, how can i get in touch with you?
Contact info is in the about section: th-cam.com/users/gametheory101about
Is the first argument
~ ( P ^ Q ) ^ R
only true when P(F), Q(F), R(T) ?
P&Q do not both need to be false, only one of the two needs to be false. Excluding the R variable for now, the statement can only be false if both P and Q are true. In other words, the statement can remain true as long as P^Q is false. To dismantle a conjunction statement, all we need to do is prove that one of the two variables is false. The other may be true or false, either works. Therefore, the overall statement is true when: 1. R is true, and 2. Between P and Q, at least one is false.
+Ken Croker But the statement says and, and mean both of them, meaning P AND Q should both be true or false and R will have the opposite sign, there's no "or" to indicate the possibility of having one of (P^Q) false.. so for the statement ~(P^Q)^R to be true, there are 2 possibilities: 1) ~(P^Q)^R "obviously" 2) (P^Q)^~R
Why am I learning this in a Geometry class, what happened to shapes
😀
@02:05 is what you need to know.
lmaooo i like how the views jumped to 73,000+ from the previous 20,000+. Poor souls ended up here because they had to learn truth tables
Lol yh
Idk man, tbh I felt like that truth table was just a bit...disjointed. 😎
But in all seriousness these videos are wonderful, and thanks so much for making them all!
I just wanted to say that TH-cam did not send me a notification for this one, and I was worried that your streak was broken!
@@Gametheory101 Oh snap! Rest assured I’m still planning to work my way through this entire playlist and then begin another. Based on how much free time (or lack thereof), it might take me a long while. Currently my jobs have some wait time, which I find perfect for watching a video for a few minutes…
wow
theres alot missing for us who have no true idea why this is imporatant. why 4 colomuns(rows?) How do you decide was is true and false? uuh
All these people are in college and I’m 14 learning about this shit in school
All these people are old and I'm 12 learning about this shit from my dad
I thought you said you were going to give an example of how this truth table could be applied! The truth table alone provides no useful value for this video unless you can show an application
why do you ask me!
wat
I fucking hate truth tables. Lmao
verbose
You are confusing and this didn’t help
Useless.
This is the most useless class I have ever taken in college
STFUUU
This is ridiculous