Negating Universal and Existential Quantifiers

Поделиться
HTML-код
  • Опубликовано: 13 дек 2024

Комментарии • 108

  • @gold4963
    @gold4963 4 года назад +65

    Oh my gosh, you make these topics ridiculously simple! You're an excellent teacher!

    • @DrTrefor
      @DrTrefor  4 года назад +7

      Thank you so much!

  • @beltusnkwawir2908
    @beltusnkwawir2908 5 лет назад +40

    Prof. Bazett I'm currently taking a Discrete Maths graduate course, after listening to my lectures in class I literally run to your videos which give me a fundamental natural understanding of these seemingly complex concepts. You are one of a kind. Thanks for these amazing videos and explicit explanations. You are making a huge difference out there. Keep sharing your knowledge

  • @kgaogeloalexramulifho7240
    @kgaogeloalexramulifho7240 4 года назад +20

    finally someone who gets to the heart of the matter definitely subscribing

  • @Bolgarang-g5b
    @Bolgarang-g5b 2 месяца назад +3

    What a God gifted teacher 😢 I have been struggling to understand this concept but finally I got you dear lovely brother 🙏🙏🙏🙏🙏

  • @m7mdarwani964
    @m7mdarwani964 3 года назад +1

    I am not exaggerating when I say that this is by far, the clearest explanation I have seen for this matter.

  • @johndambrosio7410
    @johndambrosio7410 4 года назад +2

    Coming from a mechanical engineer undergrad degree to a CS graduate course, you are saving my life. Thank you so much!

    • @DrTrefor
      @DrTrefor  4 года назад +1

      Glad I'm helping!

  • @ADiab-wf9wb
    @ADiab-wf9wb 7 лет назад +13

    Your explanation is clear-cut and smooth I love it! Never stop doing what u doing man and thank u for helping out with this, Bazett!

  • @dawzrd2458
    @dawzrd2458 5 лет назад +87

    If he's writing backwards then it is the case that this is very impressive

    • @skellingtonmeteoryballoon
      @skellingtonmeteoryballoon 4 года назад +32

      Negated his writing lol

    • @gold4963
      @gold4963 4 года назад +6

      @@quisut7167 Yeah, in a previous video, he confirmed that he flips it in post. Some people do it though, and it'd be pretty cool, wouldn't it? XD

  • @riotetatrishamaew.1784
    @riotetatrishamaew.1784 3 года назад +1

    I'm from Philippines and I love how you make Mathematics simple .🥰

  • @henok.l4202
    @henok.l4202 Месяц назад

    Watching after 7 years, super useful, thank you

  • @mahmoudnady4388
    @mahmoudnady4388 2 года назад +2

    Man this is Amazing! You're breaking these math concepts and symbols very easy and clear. I wish you the best!
    Watching from Egypt

  • @georgefan2977
    @georgefan2977 3 года назад +4

    This is as clear as it gets, thank you!!

  • @manzero134gd
    @manzero134gd 6 лет назад

    This guy is so skilled in math and writing mirrored. Salute.

  • @terrienichols204
    @terrienichols204 3 года назад +3

    Not only are you an amazing teacher, you use the same notation I use in my classes. Thank you!

    • @DrTrefor
      @DrTrefor  3 года назад +2

      So glad I could help!

  • @ramyhuber8392
    @ramyhuber8392 2 года назад +1

    REALLY like his enthusiasm and teaching clarity, makes me want to watch ALL his videos!

  • @sunshinedelacruz2216
    @sunshinedelacruz2216 5 лет назад +4

    Thank you, sir. I can answer my assignment now. Very helpful.

  • @ChandanSingh-wm5jk
    @ChandanSingh-wm5jk 3 года назад +1

    cristal clear !!! very practically you have explained ....thanks a lot ...respect from india.

  • @Fahodinho
    @Fahodinho 4 года назад +8

    7:26 shouldn't this be "not taller" because "shorter" doesn't include if it's equal to 7 feet?

    • @edan626
      @edan626 4 года назад +2

      Correct. I noticed that mistake too.

  • @delealli9965
    @delealli9965 3 года назад +1

    These videos are so well made and make the material much easier to understand. I can't thank you enough!!!!

  • @markjoshuaobial5602
    @markjoshuaobial5602 4 года назад +2

    My prof discussed this topic earlier but I didn't understand anything. Thank you for this video, I can now solve our activity properly

    • @DrTrefor
      @DrTrefor  4 года назад +2

      Glad to hear it helped!

  • @ArturoGarcia-hz3nv
    @ArturoGarcia-hz3nv 11 месяцев назад

    You're awesome! I'm glad I found your videos. You explain everything much better than my professor.

  • @banduraleeroyt4364
    @banduraleeroyt4364 2 месяца назад +1

    Awesome and thank you am for the simplicity ,,❤

  • @bestdeals-amazonus7779
    @bestdeals-amazonus7779 5 лет назад +2

    Amazing! So clear! Thank you!!

  • @justinhansen1328
    @justinhansen1328 2 года назад +1

    Thanks for the great video. I was struggling to understand why we would negate p(x) and your example on the class cleared it right up. I also was wondering why we switched between existential and universal qualifiers but you helped with that too. I also just notice that there is a summary in the description that I can read to make sure I understood what was going on. That is super helpful.

  • @buayo475
    @buayo475 10 месяцев назад

    You are Soo smart and cant help but Say Thanks again and again.

  • @dddd-ci2zm
    @dddd-ci2zm Год назад

    This is RUclips Gold!

  • @hamida.1054
    @hamida.1054 4 года назад +1

    I love the way you explain things. very sound, to the point and clear. Good luck!

  • @jameshoneypacaldo419
    @jameshoneypacaldo419 2 года назад +1

    Very clear nice teacher

  • @rajdeepchakraborty9533
    @rajdeepchakraborty9533 3 года назад +1

    That's a beautiful, concise explanation. Thank you for the great work you are doing!

  • @arellyxiomarafloresrosado3855
    @arellyxiomarafloresrosado3855 5 лет назад +2

    Thank you so much. You helped me for my exam. 👌👍

  • @tarikchattouri5506
    @tarikchattouri5506 3 года назад +1

    You are my hero

  • @tierasmith4860
    @tierasmith4860 2 года назад

    I seriously can't thank you enough, I tried looking through my prof's slides and you cleared this up for me in 30 mins(also watched your other video). thank you ;-;

  • @kenedi987
    @kenedi987 Год назад

    Thank you sir I am being tested on this soon and your videos help so much and are so easy to understand.

  • @profmbayi6873
    @profmbayi6873 4 года назад

    I've been trying so hard to understand this, but Sir you saved my life thank you.🙏

  • @vasankeerthu3577
    @vasankeerthu3577 6 лет назад +1

    very clear explanation!
    thank you sir

  • @ravishanwijayasinghe7788
    @ravishanwijayasinghe7788 4 года назад

    Thank you, sir. I can understand the lessons very well after watching your videos.

  • @hamzamalik1949
    @hamzamalik1949 4 года назад

    Thank you so much for these video lessons. your a life saver! God bless you!

  • @ADNANAHMED-eo5xx
    @ADNANAHMED-eo5xx 3 года назад

    Thanks Sir, it was really helpful

  • @seechuolwarnyang3872
    @seechuolwarnyang3872 2 года назад +1

    Great point

  • @aleckmando7286
    @aleckmando7286 2 года назад

    You are the best. 👏

  • @puju5085
    @puju5085 4 года назад

    Thanku so much sir...the way of teaching is awesome

  • @KidusKetema-e3y
    @KidusKetema-e3y 10 месяцев назад

    this man just awsome🙌🙌🙌

  • @mariaraghedmaria2374
    @mariaraghedmaria2374 4 года назад +3

    Thanks for your effort, doctor. I just have a question about the last part. You said that isn't taller, but you used the word "shorter". I think we must use isn't taller instead of shorter because shorter means " less than 7", and isn't taller means "less or equal to 7". I'm a little confused about this.
    Could anyone help me out?

    • @domasvaitmonas8814
      @domasvaitmonas8814 3 года назад

      Yes! I agree with you and I think it was a misnomer on the part of the professor.

  • @rushdaquraishi2206
    @rushdaquraishi2206 7 лет назад +1

    Very Helpful
    Thank you very much

  • @shashikalaraju5769
    @shashikalaraju5769 4 года назад

    Thank you so much Trefor.

  • @souravyogi3372
    @souravyogi3372 5 лет назад

    Thanks Trefor.Very cool

  • @Itzali
    @Itzali 2 года назад +1

    Thank you

  • @soldiamed
    @soldiamed 6 лет назад +1

    Well done, thank you

  • @s.o.peprah7114
    @s.o.peprah7114 4 года назад

    Very succinct and clear

  • @sakshimahawar1125
    @sakshimahawar1125 6 лет назад

    Thank you for nice explanation.

  • @sarkersaadahmed
    @sarkersaadahmed Год назад

    6:54 shouldnt it be smaller than or equal to?

  • @zehra1058
    @zehra1058 Год назад

    I appreciate for this great video. I have few questions:
    If you negate on existential, does it mean that there does not existing any members of that set?
    How do you symbolize "non of phoenix is mammal."
    If we use existential quantifiers, does it mean that something must exist outside of the mind?

  • @n00man
    @n00man 6 лет назад

    Very helpful. Thank you.

  • @akashchowdhury684
    @akashchowdhury684 3 года назад

    amazing stuff

  • @Islamic....editssz
    @Islamic....editssz Год назад +1

    No one talking about 👉-------------he is so handsome 😭😭

  • @javaexpertsa8947
    @javaexpertsa8947 6 лет назад

    Love this explanation, now i understand it, too! Thank you. :) After a break, i continue now to watch the 45 Videos today. :D

  • @harleykf1
    @harleykf1 4 года назад

    So helpful, thank you very much :)

    • @DrTrefor
      @DrTrefor  4 года назад

      Glad it was helpful!

  • @mannuelf
    @mannuelf 4 года назад

    excellent thank you sir.

  • @Firomsa-g8m
    @Firomsa-g8m 11 месяцев назад

    Thanks millions

  • @ashwanikumar4288
    @ashwanikumar4288 6 лет назад

    You sir are awesome

  • @novelas3536
    @novelas3536 3 года назад +3

    I wish I was 7 feet.

  • @ll-bc4gn
    @ll-bc4gn 3 года назад

    7:02 shorter than 7 feet or same as 7 feet i think? correct me if im wrong

  • @dustinspencer8593
    @dustinspencer8593 3 года назад +1

    You make the statement "Everyone in our class is shorter than 7 feet" as the negation of "Someone in our class is taller than 7 feet." I would offer that this sentence more accurately reflects the negation: "Everyone in our class is 7 feet tall, or less." (or some other grammatically equivalent statement.)
    It is a subtle point, but the example in the video does not account for the case where someone in the class is exactly 7 feet.

    • @toby-claxton
      @toby-claxton 3 года назад

      I was looking for this comment

  • @suhailawm
    @suhailawm 5 лет назад

    tnx alot sr. 4m srilanka

  • @patconroy1874
    @patconroy1874 3 года назад +2

    Huh ? How’d I end up here?

  • @sakshimahawar1125
    @sakshimahawar1125 6 лет назад

    Sir pls make video on graph theory

  • @dataadmin3734
    @dataadmin3734 4 года назад +1

    Is it more accurate to say that not P(x) in this case is x

    • @Omar-gr7km
      @Omar-gr7km 3 года назад

      Correct, Everyone in the class is 7 feet or less.

  • @garkipatiraviteja9130
    @garkipatiraviteja9130 6 лет назад

    More depth videos I want

  • @Djdu7228xnxj
    @Djdu7228xnxj 3 года назад

    Does this have anything to do with the burden of proof in the case of Theist vs Atheist debates?

  • @Shams-256
    @Shams-256 11 месяцев назад

    in the very firs example : isn't also valid to write 'there exists x in z +,such that x > 3 " Well , in my opinion this is also true

  • @yongmrchen
    @yongmrchen Год назад

    Shouldn’t ~P(x) be “all are shorter than or equal to 7 feet”?

  • @PUBGGAMERHANAN
    @PUBGGAMERHANAN 6 лет назад

    thanks

  • @sumeyrakoksal6244
    @sumeyrakoksal6244 4 года назад

    Teacher why didn't we say less than 7 feet equal to the last question ??

  • @peacecitizen1
    @peacecitizen1 5 лет назад

    Formally, shouldn't existential statements be followed by s.t. (such that), instead of the comma ( , )?

  • @ndarshaniliyanage1359
    @ndarshaniliyanage1359 2 года назад

    all x ( x+1=0 or x+2=0) how to write negation of this statement?

  • @qingen7005
    @qingen7005 7 лет назад

    Hi shouldn't it be Everyone in our class is shorter than equals to 7 feet? @6:45

    • @qingen7005
      @qingen7005 7 лет назад

      Okay noted! Thank you!

  • @yuliamax5652
    @yuliamax5652 7 лет назад

    Hi! Thank you for your videos! According to your video will then a(x)(-s(x)->b(x,f)
    For every x if x is not a student, x buys a ferrari. I.e. students don't buy Ferraris
    Is it right?

    • @yuliamax5652
      @yuliamax5652 7 лет назад

      Trefor Bazett I m trying to solve the formula, put it in normal English. The logical equasion is the following: A(x) (~S(x)->B(x,f)). Which as far as I know reads for every x if x is not a student then x buys ferrari.
      So I wasn't sure of in proper English it is students don't buy ferrari or everyone except students buy ferrari

  • @-tiktoktrend1212
    @-tiktoktrend1212 4 года назад

    jack whitehall !

  • @travisk5046
    @travisk5046 5 лет назад +1

    I never understand why he uses the set of positive integers instead of the set of natural numbers

    • @travisk5046
      @travisk5046 5 лет назад

      @@DrTrefor actually really interesting, thanks for the insight

    • @Omar-gr7km
      @Omar-gr7km 3 года назад

      The only difference is that Z+ includes 0 whereas N does not. However he probably just uses Z+ for the simplicity of it. Makes it easier to follow when he's not using all the different symbols for number ranges

  • @rakshanarauf9918
    @rakshanarauf9918 4 года назад

    "everyone is talller then 7 feet" is is correct?

    • @mohamedmourad5230
      @mohamedmourad5230 4 года назад

      I think it is( everyone in the class is shorter than or equal 7 feet), cuz before the negation that person was more that 7 feet tall not equal

  • @BRYDN_NATHAN
    @BRYDN_NATHAN 3 года назад

    Thank you
    Your buttons are
    Backward

  • @joneseyce
    @joneseyce 4 года назад

    Ed Bolian teaches maths.

  • @thrice5560
    @thrice5560 Год назад

    Shouldn't it be : is 7 feet or shorter?

  • @black_lionbox2074
    @black_lionbox2074 3 года назад

    Determine the truth value of the following statements
    (∀x∈R)(√(x^2 )=x).
    (∃x∈R)(∃y∈R)(x^2+y^2=9).
    (∃x∈R)(∀y∈R)(x+y=7)
    please solve it

    • @Shams-256
      @Shams-256 11 месяцев назад

      false , true , true?

  • @piperduran5645
    @piperduran5645 5 лет назад

    Confuse asf

  • @lemyul
    @lemyul 5 лет назад

    thanks