Truth Tables Tutorial (part 1)
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- เผยแพร่เมื่อ 29 ก.ย. 2024
- There's now 4 parts to the tutorial with two extra example videos at the end. Hope this helps!
Part 1 - Filling out truth tables - • Truth Tables Tutorial ...
Part 2 - Different notation and some less common conjunctions - • Truth Tables Tutorial ...
Part 3 - Adding a 3rd variable - • Truth Tables Tutorial ...
Part 4 - WHY if P then Q works how it does - • Understanding "If P, t...
Example 1 - Two propositions - • Truth Tables Example
Example 2 - Three propositions - • Truth Tables Example (...
Hey I understand how to do this but the only thing that I don’t get is Why exactly is the conditional statement true whenever p is false . I understand the statement is only dealing with when P is true .. q should be as well... but when p is false ... how can we guarantee that p implies q... hopefully you understand my question haha thanks
Brian Stonelake hey I appreciate the reply ! I think I’ve thought of a different answer let me know what you think about it . So I also realized that just because p and q are both true , in the real world it does not mean that p implies q. You could just have a situation where p is true Independently of q. So the way I reconciled this was thinking of it in more mathematical terms as in “does it satisfy the condition “ so if p is true and q is also true , it does indeed satisfy ‘if p then q’ because when p is true q must be true for this to work . And when p is false , any truth value of q would work because the condition only concerns when p is true .. and the point of these truth tables is only to decide validity , not soundness so in a way some of the Ts can be thought of as place holders as in we’ll call it true since it does not invalidate the argument . When you think about it the only situation that would truly invalidate ‘if p then q’ is specifically when you have p but q is false . Haha that’s my thoughts on it
oh thank god someone put it into words! this was my sticking point too. I thought I was just dumb because I skived maths in high school.
I personally find this difficult to explain also but I believe it is this way:
Since the condition is already false, there is no more condition for the q so it is independent. It becomes “vacuously” true nonetheless since Q is true
So it’s only false if the condition is negated?
It's asking to write a T if either Q or -P has a T in that column.
bruh this is so straight forward and simple i nearly cried
Freaking me to. Me too. Like it’s the best for someone who thinks logically.
I did cry
RIGHT
true its a T bro
I’m lost
I genuinely want to sob, I wish I could like this a million times, I cant believe this frustrated me for a good few hours when this 11 minute video exists lmao
yessss i should have youtubed it forever ago lol
I felt that frustration on a spiritual level omg
i’m telling you, on the brink of breaking down.
Omg!!! Learned more in ten minutes than in a week of logic class. 🎉
Yea... ME TOO!!
the little funny add-ons (hell yeah, not even close, etc.) really keeps me interested wow cant believe how much this helped me
I have been struggling over this for weeks and this finally helped me reach some clarity. Thank god because my test is in 4 hours!
My professor, TA and textbook couldn't explain this. You explained this beautifully and I understand now. Thank you.
I nearly cried today because we are having a quiz today. during my quiz I just watched your video it helps a lot.
I started learning discrete math this semester, and I have no clue what is going on with the truth table. After watching your video, I had an "ah ha" moment, and everything clicked. Thank you, I really like the way you simplify things to a more understandable and more digestible learning experience.
one night before my logic exam and i was ready to give up on figuring out how this table works. AND THEN I FOUND THIS VIDEO. You are my savior !!!
Thank you so much, I am taking a philosophy class and needed to make a truth table, you are the only person to actually explain it well to me
I had difficulty trying to understand the logic, but Brian you explained it in a simplified way. Math haven't been my strong point but it made more sense when you went step by step. Thank You!
After watching like 5 other videos including my own professor’s this finally helped me understand truth tables and even more complex tables than this.
This lesson has been taught to me before but when I reached college, I forgot it all. I tried to watch some videos relating to truth tables for a recap and finally understood your version than my teacher ever taught to us. Thank you, really.
this is the MOST simplistic way of explaining. THANK YOU MATH GOD.
"Is there a T in each column? Hell yeah there is." This is the energy teachers need.
This helped me SO MUCH! You described everything perfectly and helped clarify all my questions that I had, especially with the if, then scenarios. Also, you went at the perfect pace for me to follow along. I'm a college student, so I really needed this help and it's greatly appreciated :))
this was very straight forward and easy to learn. THANK YOU, now I understand
This is the best vid out there explaining wtf a truth table is
OMFG BRO.... YOU ARE THE GOAT, I swear truth tables never stuck on me but holy shii this video is AMAZING. THANK YOU
ABSOLUTE LEGEND, understand so much better now, thanks so much
Very explanatory...Now I understand clearly 😍
Thank you so much, I had been struggling with this the whole week. The way you explained it makes so much sense- thank you again:)
2:23 is me realizing I messed up the entire table.
It's the "hell yea there is" for me 😂!!
the best explanation ever for the truth table! thank you sir :)
WOW can’t believe I understood this for once, I’m studying 2 hours before an exam 😅 thank you.
Thanks a lot for this video. I was completely lost before watching this. You explained it very well
So helpful thanks so much for explaining it so simply
thanks for helping me! it made easier after watching this helpful video.
oh wow man, thanks. explanation at 6:30 really make a whole lot of sense and brought some light.
I really loved the explanation
You are great at explaining thank you very much
I was lost in class because my Geometry teacher was going fast but this video literally makes so much sense!
This is hands down the best tutorial ANYWHERE!
THIS HELPED ME SO MUCH OMG THANK YOU , YOU DID EVERYTHING RIGHT THX MY DUDE!
You helped me so much!! Thank you!
Very easy to understand. Thank you
Thank you so much, very understandable.
EXCELLENT EXPLANATION!!!! Loveee ! Thank you for helping
You are a life saver
so good at explaining it
Man you're a legend ! easy and simple , Thanks alot :)
You made this so simple. Thank you!
This saved my life
So, so much thankful from this video so helpful for me,
Thank you so much, you were very helpful😢
great video, thank you.
pls how do we test for type of consistency with the truth table analysis. My exam is tomorrow and i don't get this
How is different from When and
at 5:36 - You mention if there is F present in P then you automatically get T in 'If P and Q' but you have not explained it why. Could you please elaborate further on why it is the case?
Thank you so much!!!
Great tutorial! Thank you! My only suggestion is to refrain from using profanity. I'd love to share your videos with my students.
Could there be a column such as 'if P then Q and ~P'? or 'if P and Q then ~P'?
Great explanation! Thank you very much!
Good explanation!
thank you so much
When you first create your truth table with the possible values for your variables would you then remove those rows where a variable cannot be true or cannot be false. Such as P = the sky is blue. Would you then remove those rows where P is False?
Or would you have to add another variable for other extraneous circumstances such as, if it is night/day etc? Would you have to add this even if the problem does not state them?
i understand this much better now
can someone answer this question show the truth table to show weather (-(p->q)) +(p^r) is tautology
i understand that the P column is: TTFF and Q is: TFTF, so whats R's??
I have a question now.. I hope you are still doing this
You're my hero
When is this use? In what field?
Can you do valid or invalid truth tables
Thank you so much 🙏
Very help full😊
Thankyou so much❤
I not sure which is the problem, but my school taught me differently, for p or q. The table goes, T, F, F, and T. I'm not sure which is correct. Or are there multiple ways?
There's something called an "exclusive or" where you get a T in that column only if one of the two premises are true and the other is false. So with P and Q in the order that they're in in the video, the "exclusive or" column would read F, T, T, F. However if it just says "or" I'd assume it is the "or" presented in the video, not the "exclusive or".
The T, F, F, T that you mentioned would be the result of "if and only if", which is another less common operator not presented in the video.
I don't think there's any way that the answer to an "or" should be T, F, F, T. Sorry!
@@LearnYouSomeMath Oh I get it! Thank you! It seems there was a little typo in the notes.
For 'if p then q', when p is T, there is nothing to do, so q should be blank, rt?
no. when p is T you have to look at Q to determine the value of "if p then q". When p is F is when you don't care what q is and automatically make "if p then q" a T. However even in this case, q will still have a value. the values of p and q are given, you don't figure them out. based on those given values you determine if "if p then q" is a T or an F.
I never heard of Truth Tables before. What are they used for? I just found out tonight that Einstein failed Mathematics in college. How can this be?
How’s here from noobasaures
Thank you cannot explain how much this helps 😢🫡
I have a mid term in ten minutes, and I’ve watched about four other videos. This has definitely been the most straight forward and actually most helpful one. thank youuuu
Just got my results and I got a 92. This is honestly the best video ever made. Thank you thank you thank you!!
@@angeldo8546 omg 92 😱😱 wowwwwwwww
omg samee
@@angeldo8546awesome! Congrats on your exam!!
Thank you so much
This makes so much since now! My teacher didn’t explain it this way, and I was struggling on my math homework. Now I get it! Thank you!
I feel u
Sense*
I really struggle with math, I ALWAYS have. College math (the most basic class) isn't easy for me due to me having poor math skills and having a not so great professor. I've been stressing out over truth tables for the past week and I've had no help from the professor and was about to give up...this video finally helped me make sense of this whole concept. THANK YOU SO MUCH!!!!
help how do i do a table for this ~ p ʌ (~j ʌ p)
This has helped me tremendously, and I was just starting to think that no one could explain truth tables to me. I appreciate that you were able to break it down and explain every column.
I actually thought for a minute I was to halfwitted to even understand this until I watched this video bro ...this is fucking great.
Aye Bae I need a tewter u finna help me out?
I literally learned this concept in 11:38 minutes to help my friend THANK YOU. THIS IS AMAZING
Lmao “Hell yeah there is.” So funny never heard that in an explanation. Haha had to rewind.
Me too lol
I was struggling with this for 3 hours and decide to TH-cam truth tables and this video helped me understand it in 6 mins !!!!!! Thank you!!!
Today is the day I learned that my professor can't teach. Amen.
thank you so much this helped 1000000x then my professor ever did
There's always that point where everything clicks and you finally understand the topic. Thanks! Explained it better than my teacher, or maybe I was asleep, either way thanks.
Understood it in 10 mins than a 3 hour lecture by my prof lol. Thank you.
DUDE, thank you!! this was spot on helpful, quick, and super informative
oh my god you taught me so much in 5 minutes! i have a computer science exam tomorrow so this is very helpful. thank you sooo much. i love you lol
After thousands of scrolling on youtube tutorial about Tautology, this video makes the most sense. It so easy to understand than different tutorials spread on youtube. I commend you dude, you're very good. 🤘👍
I literally love you! You explained this so well! I - you're amazing! I hope you know that my professor couldn't even help me understand this! I hope you're doing well whoever you are. Thank you thank you thank you!
OMG thank you so much! My professor went over this so many times and I was so confused.... Four hours in class was a waste, he should've just put this video up.
How is this so much easier to understand here than from my own professor
this really helped but also kinda confused me at the same time 😂
Thank you so much! I literally couldn't get the hang of it in any other tutorial but now i understand if it's "or" or "and" you have to look for the T.
Since everything is online; I clicked through my sessions blindly. Watched this before the test. Makes WAYYYY more sense. Thank you for explaining so simply.
why cant professors make it this simple? instead, they give us examples like "if I get an A then my dad will buy me a car" and spends half the class session arguing with the students about this logic instead of making a simple table like this at the start. pisses me off
sorry for nagging, I really like your style of explaining this.
This is for IT,thank you.
This is how I know I am not a genius. A genius can read my Logic book for class and understand what the heck it says. I have have to YT this, and I am having the hardest time with this class. Thank you for simplifying this. The text in the book is too hard to undertand.
bro this video explains way better than my teacher
Thanks alot you are the best. My teacher actually expected us to cram and memorize the table but I thank God that I have been able to understand the topic well
omg this is amazing! THANK YOU! I nearly cried when i saw my assignment this week. I'm still confused about constructing a truth table for the statement for my problem but i at least understand truth tables now!