Truth Tables Tutorial (part 1)

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  • Опубликовано: 23 июн 2016
  • 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 (...

Комментарии • 556

  • @larryquinn543
    @larryquinn543 5 лет назад +190

    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

    • @larryquinn543
      @larryquinn543 5 лет назад +35

      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

    • @infinitusfinitus
      @infinitusfinitus 4 года назад +33

      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.

    • @satanggukie3456
      @satanggukie3456 4 года назад +22

      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

    • @beedlethebard1813
      @beedlethebard1813 4 года назад +3

      So it’s only false if the condition is negated?

    • @Xemi_
      @Xemi_ 4 года назад +2

      It's asking to write a T if either Q or -P has a T in that column.

  • @redcrossman9014
    @redcrossman9014 5 лет назад +814

    bruh this is so straight forward and simple i nearly cried

  • @maria-sq1bc
    @maria-sq1bc 3 года назад +237

    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

    • @porc3lain_7
      @porc3lain_7 2 года назад +2

      yessss i should have youtubed it forever ago lol

    • @_little_byrd_-0v0-
      @_little_byrd_-0v0- Год назад +2

      I felt that frustration on a spiritual level omg

    • @_mxonlight_5909
      @_mxonlight_5909 10 месяцев назад

      i’m telling you, on the brink of breaking down.

    • @Norcalmiller78
      @Norcalmiller78 3 месяца назад

      Omg!!! Learned more in ten minutes than in a week of logic class. 🎉

  • @jonrk2
    @jonrk2 5 лет назад +198

    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!!!!

  • @angeldo8546
    @angeldo8546 5 лет назад +222

    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

    • @angeldo8546
      @angeldo8546 5 лет назад +34

      Just got my results and I got a 92. This is honestly the best video ever made. Thank you thank you thank you!!

    • @abiyazehra1147
      @abiyazehra1147 3 года назад +4

      @@angeldo8546 omg 92 😱😱 wowwwwwwww

    • @myasnyder6809
      @myasnyder6809 3 года назад +3

      omg samee

  • @saraholmes5183
    @saraholmes5183 4 года назад +90

    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!

  • @BrooklynnMarieVids
    @BrooklynnMarieVids 5 лет назад +26

    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.

  • @phathisanincube3185
    @phathisanincube3185 Год назад +3

    the most straight forward video on this topic

  • @DandKGames
    @DandKGames Год назад +6

    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.

  • @silvermora6918
    @silvermora6918 3 года назад +5

    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.

  • @nieshapurter8168
    @nieshapurter8168 4 года назад +7

    I was struggling with this for 3 hours and decide to RUclips truth tables and this video helped me understand it in 6 mins !!!!!! Thank you!!!

  • @lachimolalacarbonara6393
    @lachimolalacarbonara6393 4 года назад +15

    I literally learned this concept in 11:38 minutes to help my friend THANK YOU. THIS IS AMAZING

  • @mariamramirez1875
    @mariamramirez1875 Год назад +2

    You're a live saver!!!! I had a mental breakdown this week because I couldn't understand the way my teacher was teaching me but this was so straight forward and simple... you're amazing

  • @chuarex1077
    @chuarex1077 5 лет назад +7

    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. 🤘👍

  • @sydneyjustin1446
    @sydneyjustin1446 3 года назад +4

    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!

  • @ryiamariepigueras3381
    @ryiamariepigueras3381 2 года назад +3

    I nearly cried today because we are having a quiz today. during my quiz I just watched your video it helps a lot.

  • @attria4945
    @attria4945 4 месяца назад +1

    the little funny add-ons (hell yeah, not even close, etc.) really keeps me interested wow cant believe how much this helped me

  • @YuNgHaSaN
    @YuNgHaSaN 4 года назад +3

    Absolute LEGEND! The most helpful and best explanation you will ever FIND!

  • @therandommushroom2922
    @therandommushroom2922 2 года назад

    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.

  • @shadiegoddie2663
    @shadiegoddie2663 4 года назад +10

    I actually thought for a minute I was to halfwitted to even understand this until I watched this video bro ...this is fucking great.

    • @jahnj2523
      @jahnj2523 3 года назад

      Aye Bae I need a tewter u finna help me out?

  • @mirielagonzalez-kaganac4562
    @mirielagonzalez-kaganac4562 3 года назад +5

    this is so helpful! I struggled in my undergrad logic class and this is a great simple way to explain it!

  • @Glowsteam
    @Glowsteam 4 года назад +3

    This is the best and thorough explanation that I’ve found, keep up the good work!!

  • @user-mf4mq7mo4v
    @user-mf4mq7mo4v Месяц назад

    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 !!!

  • @silviealvarado
    @silviealvarado 4 года назад +1

    omg THANK YOU- online student here and what I was reading was NOT making ANY sense.3 hrs of not understanding later, i find your video and it just clicked. THANK YOU.

  • @laurenm1207
    @laurenm1207 Год назад +3

    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 :))

  • @catperson776
    @catperson776 Год назад +1

    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

  • @angelinakays343
    @angelinakays343 5 лет назад +4

    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!

  • @Cyphon
    @Cyphon 3 года назад +3

    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.

  • @mohammedalsaedi6908
    @mohammedalsaedi6908 Год назад +1

    half of the stress is out of my head thanks to you

  • @garyhughes1664
    @garyhughes1664 3 года назад

    This is the clearest and best video I've seen on truth-tables so far, and I've checked out a lot of others. Thx for sharing. You've helped me a great deal.

  • @tequestabraswell8877
    @tequestabraswell8877 4 года назад +2

    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!

  • @mindofty266
    @mindofty266 4 года назад +11

    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.

  • @james-lr2le
    @james-lr2le Год назад +1

    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.

  • @jessicalira1069
    @jessicalira1069 5 лет назад +2

    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:)

  • @pakkawadeeatchley365
    @pakkawadeeatchley365 4 года назад +1

    dude, I've been watching 50 videos, yours is the best. You made it easiest way to understand. Thank you

  • @miamolkentine2525
    @miamolkentine2525 3 года назад +2

    Love the color visuals! You explained it better than the book, thank you!

  • @lauraramos9271
    @lauraramos9271 4 года назад +7

    DUDE, thank you!! this was spot on helpful, quick, and super informative

  • @Ma_Cherie1
    @Ma_Cherie1 4 года назад

    This video is the BEST explanation by far! I have not been in school since 1999 and I started college again in 2018, you really have a great way about explaining math and I personally thank you for uploading.

  • @zionthomas6871
    @zionthomas6871 11 месяцев назад +1

    We understand that you are there for us. You don't have to cuss Big Brother❤ God bless you!

  • @makellingo
    @makellingo 3 года назад +1

    I've been in near tears all evening until I found this. Light at the end of the tunnels at least now. Thank you!!!

  • @emilymack4754
    @emilymack4754 4 года назад +28

    2:23 is me realizing I messed up the entire table.

  • @razeyfn9893
    @razeyfn9893 2 года назад +1

    Thank you SO much for this video. I was struggling with this topic in my honors Geometry at my brand new prep/boarding school. This video got me a hundred on my test, and I am very grateful.

  • @Wospwosp
    @Wospwosp 3 года назад +1

    My professor, TA and textbook couldn't explain this. You explained this beautifully and I understand now. Thank you.

  • @hopeelizabeth6859
    @hopeelizabeth6859 4 года назад +1

    very helpful. i liked the color coding and that you didn't get bogged down in details and kept it simple

  • @Jem_80s
    @Jem_80s 2 года назад

    I've been struggling with this sm. I even read over my notes what felt like a hundred times - but your video explained it so much better!

  • @amandaoverton741
    @amandaoverton741 3 года назад +1

    You make truth tables so much easier! I think everyone should watch this video while learning this subject! Thank you so much!

  • @shoocakadoo
    @shoocakadoo 9 месяцев назад

    I wished I had watched this earlier. Your explanations are so simple and relatable. Either the teacher or website will explain everything in math terms and symbols which makes the whole thing so overblown complicated. Sadly, I have a math exam in like two weeks, but this seriously has helped my understanding a lot.

  • @mikaylabuchanan4582
    @mikaylabuchanan4582 2 года назад +1

    Thank you so much! I was struggling with this concept but you explained it very well. On my way to part two now!

  • @tannerpost9154
    @tannerpost9154 3 года назад +4

    Learned more from this than I ever will this semester

  • @justice7669
    @justice7669 4 года назад +2

    this was very straight forward and easy to learn. THANK YOU, now I understand

  • @josepaez3321
    @josepaez3321 Год назад +3

    thank you so much this helped 1000000x then my professor ever did

  • @arianvillegas3295
    @arianvillegas3295 5 лет назад +4

    Omfg thank you, straight to the point and clear bless your soul.

  • @EliAmbrosio
    @EliAmbrosio 10 месяцев назад +2

    mid study sesh and was stuck on conditional statements, this helped a ton! thank you for your service

  • @jeanneb5130
    @jeanneb5130 4 года назад +5

    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.

  • @bradenmaxwellwalker2492
    @bradenmaxwellwalker2492 3 года назад +2

    Thank you so much! This helped me out with my propositional logic unit a ton! Part two is extremely helpful as well!

  • @jacqueslin8178
    @jacqueslin8178 2 года назад +1

    I'm taking a philosophy course. I wasn't able to understand my professor's lecture but I understood this perfectly. Thanks for the simplification!!!

  • @biodegradablegirl
    @biodegradablegirl 3 года назад +5

    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!

  • @naffafricaofficial.1981
    @naffafricaofficial.1981 3 года назад +1

    HEY BRO!THANK YOU FOR THIS TUTORIAL BUDDY, I HAVE JUST STARTED THE JOURNEY AND YOUR EXPLANATION MAKES ITS VERY EASY.I AM NOT LEAVING YOU TILL I COMPLETE THIS UNIT.

  • @lidyasolomon5557
    @lidyasolomon5557 5 лет назад +50

    Lmao “Hell yeah there is.” So funny never heard that in an explanation. Haha had to rewind.

  • @lmcdasm
    @lmcdasm 4 года назад

    Dude.. your video is the best breakdown on the internet (watched 8 and i got it, but your explanation of when its "contrapositive" and how its "always logically true" kicks ass!

  • @stevenhorner3245
    @stevenhorner3245 8 месяцев назад

    Teacher went through the truth table chapter in September. Now it’s November and every week we’ve done new stuff mixed with review and truth tables always come up. Tried, tried and tried and it just didn’t click. Now after watching this video it clicked. The if then finally makes sense it’s way simpler than it seems. Thanks so much.

  • @klcross2010
    @klcross2010 Год назад

    You speak the way I think! You just saved me with this explanation. Don’t change anything about the way you present.

  • @synth750
    @synth750 4 года назад

    JESUS CHRIST all the other tutorials were so complex especially my professor's teaching. BUT THIS, THIS VIDEO IS SO EASY TO UNDERSTAND omg thank you so much

  • @alfabetony
    @alfabetony 3 года назад +1

    ThAnks for the video. I was starting to understand when I came across your table and your way of making students understand this. Thanks !!

  • @ScarletteInfinite
    @ScarletteInfinite 3 года назад

    THANK YOU SO MUCH!!! SERIOUSLY! you explain this so well and make this much more understandable! I had no idea what my book was talking about and you made this much simpler!

  • @bruceweller7373
    @bruceweller7373 5 лет назад +2

    Very well explained for an intro to this confusing topic. Ty

  • @gabrielamendoza8537
    @gabrielamendoza8537 5 лет назад +3

    THIS HELPED ME SO MUCH OMG THANK YOU , YOU DID EVERYTHING RIGHT THX MY DUDE!

  • @swejoz3050
    @swejoz3050 2 месяца назад +1

    Literally the best explained viedo i ever come across, thank you so much!

  • @briannamiller1993
    @briannamiller1993 3 года назад +1

    This helped me so much!!! Thank you!!! You explained it much simpler than my teacher did. She made it so confusing!! Appreciate you!

  • @dargful
    @dargful 3 года назад

    this is the MOST simplistic way of explaining. THANK YOU MATH GOD.

  • @nereiday9594
    @nereiday9594 3 года назад +6

    It's the "hell yea there is" for me 😂!!

  • @mightyhlungwane2639
    @mightyhlungwane2639 Год назад

    Thank you! thank you! thank you!, you are a star, I have watched many videos and I did not get anyone who explains it clear like the way you did

  • @yukicchi95
    @yukicchi95 10 месяцев назад

    This is the ONLY video that actually helped me understand this goddamn table. Thank you so much 😭😭

  • @9cowbell9
    @9cowbell9 3 года назад +1

    Understood it in 10 mins than a 3 hour lecture by my prof lol. Thank you.

  • @centxhank
    @centxhank 4 года назад +3

    Thank you, I've had a mental block about these things and this helped get rid of it

  • @shawnawesley3225
    @shawnawesley3225 6 месяцев назад

    WOW!! I watched this one time and caught on so quick. Been listening to my instructor and it was like wtw are you talking about! Thank you for these video!!

  • @danielatkinson3598
    @danielatkinson3598 4 года назад

    this is by far the best explanation of this topic that i have seen

  • @SD-uw7zu
    @SD-uw7zu 2 года назад +1

    I have finals coming up in a few weeks and this really helps. You made it so simple and my teacher honestly doesn’t know what he’s doing

  • @BoxofCarrots
    @BoxofCarrots 4 года назад

    I learned this in my computer engineering course in grade ten but I completely forgot about it until my cognitive science course popped up in uni. This was a great refresher for my midterm. :D

  • @erikatorres309
    @erikatorres309 2 года назад

    I thought I was going to fail my math class because of these truth tables now I understand them a whole lot better. Thank you so much for this video.

  • @tonyalmodovar7629
    @tonyalmodovar7629 Год назад

    This man is the real MVP. Thank you so much. You made this so simple.

  • @chinwenze-ky2ff
    @chinwenze-ky2ff 4 месяца назад +1

    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

  • @kasdal
    @kasdal 4 года назад +1

    You! You deserve more subs. This is really helpful. Thank you!

  • @whinocewous
    @whinocewous 2 года назад +1

    Best Tutorial. All Makes Sense Now Thank You. You Rock!

  • @Gurleee
    @Gurleee 3 месяца назад +1

    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

  • @mtk3587
    @mtk3587 3 года назад

    THANK YOU FOR EXPLAINING THIS SO CLEARLY

  • @christiangaspar2531
    @christiangaspar2531 2 года назад +1

    oh my god you just explained in 11 mns and secs the things that I cant understand in 2 days ...THANK YOU SO MUCH

  • @zacharysilva1561
    @zacharysilva1561 2 года назад +1

    I just threw down my pencil before I watched the video and now I can actually do my assignments. Thank you so so so much.

  • @cass7s_hideout
    @cass7s_hideout 3 года назад +1

    This REALLY helped with my logic class! Thanks!!

  • @Petite43
    @Petite43 2 года назад

    watching this one video, made everything crystal clear. THANK YOU FOR MAKING THIS VIDEO !!

  • @lidyacabrales6172
    @lidyacabrales6172 4 года назад +1

    Thank you so much I appreciate you so much at 58 I keep learning and I appreciate your clear thoughts keep up the amazing work love ya!

  • @thestrangechannelofjeff7426
    @thestrangechannelofjeff7426 4 года назад

    Best damn educational video I've seen in a long time

  • @AyyeeeProductions
    @AyyeeeProductions 2 года назад

    This is the best vid out there explaining wtf a truth table is

  • @lesegotsheole6008
    @lesegotsheole6008 5 лет назад

    oh wow man, thanks. explanation at 6:30 really make a whole lot of sense and brought some light.

  • @mariyahaq5992
    @mariyahaq5992 3 года назад +1

    Thank you so much! This is so much better than my teachers explation. I actually understand it now!

  • @Xerinnicole
    @Xerinnicole 8 месяцев назад

    I almost threw my computer at the wall trying to learn this stuff until I came across this video. God bless you.

  • @bertyalbert2603
    @bertyalbert2603 Год назад +1

    if only my algebra professor was as good as you, thank you so much!

  • @dejacaesar2514
    @dejacaesar2514 3 года назад

    Thank you so much for your help. I am taking Quantitative Literacy this semester in college. This was a big help.

  • @fayy.m.1342
    @fayy.m.1342 3 года назад +1

    Wow! to think I passed this video because several others missed the mark. Thank you for that clear explanation!!!

  • @nadiab.8951
    @nadiab.8951 3 года назад +1

    the best explanation ever for the truth table! thank you sir :)