Negating Universal and Existential Quantifiers

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  • Опубліковано 8 лют 2025

КОМЕНТАРІ • 107

  • @CabooseTheDestroyer
    @CabooseTheDestroyer 4 роки тому +71

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

    • @DrTrefor
      @DrTrefor  4 роки тому +9

      Thank you so much!

  • @beltusnkwawir2908
    @beltusnkwawir2908 5 років тому +42

    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 роки тому +21

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

  • @Bolgarang-g5b
    @Bolgarang-g5b 4 місяці тому +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 роки тому +1

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

  • @ADiab-wf9wb
    @ADiab-wf9wb 7 років тому +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!

  • @johndambrosio7410
    @johndambrosio7410 4 роки тому +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 роки тому +1

      Glad I'm helping!

  • @riotetatrishamaew.1784
    @riotetatrishamaew.1784 3 роки тому +1

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

  • @dawzrd2458
    @dawzrd2458 6 років тому +89

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

    • @skellingtonmeteoryballoon
      @skellingtonmeteoryballoon 4 роки тому +32

      Negated his writing lol

    • @CabooseTheDestroyer
      @CabooseTheDestroyer 4 роки тому +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

  • @ramyhuber8392
    @ramyhuber8392 2 роки тому +1

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

  • @manzero134gd
    @manzero134gd 6 років тому

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

  • @terrienichols204
    @terrienichols204 3 роки тому +3

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

    • @DrTrefor
      @DrTrefor  3 роки тому +2

      So glad I could help!

  • @georgefan2977
    @georgefan2977 3 роки тому +4

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

  • @delealli9965
    @delealli9965 3 роки тому +1

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

  • @justinhansen1328
    @justinhansen1328 3 роки тому +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.

  • @henok.l4202
    @henok.l4202 2 місяці тому

    Watching after 7 years, super useful, thank you

  • @hamida.1054
    @hamida.1054 4 роки тому +1

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

  • @markjoshuaobial5602
    @markjoshuaobial5602 4 роки тому +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 роки тому +2

      Glad to hear it helped!

  • @sunshinedelacruz2216
    @sunshinedelacruz2216 6 років тому +4

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

  • @ChandanSingh-wm5jk
    @ChandanSingh-wm5jk 3 роки тому +1

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

  • @ArturoGarcia-hz3nv
    @ArturoGarcia-hz3nv Рік тому

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

  • @rajdeepchakraborty9533
    @rajdeepchakraborty9533 3 роки тому +1

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

  • @kenedi987
    @kenedi987 2 роки тому

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

  • @tierasmith4860
    @tierasmith4860 2 роки тому

    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 ;-;

  • @profmbayi6873
    @profmbayi6873 4 роки тому

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

  • @arellyxiomarafloresrosado3855
    @arellyxiomarafloresrosado3855 6 років тому +2

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

  • @buayo475
    @buayo475 Рік тому

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

  • @banduraleeroyt4364
    @banduraleeroyt4364 4 місяці тому +1

    Awesome and thank you am for the simplicity ,,❤

  • @ravishanwijayasinghe7788
    @ravishanwijayasinghe7788 5 років тому

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

  • @Fahodinho
    @Fahodinho 4 роки тому +9

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

    • @edan626
      @edan626 4 роки тому +2

      Correct. I noticed that mistake too.

  • @hamzamalik1949
    @hamzamalik1949 5 років тому

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

  • @jameshoneypacaldo419
    @jameshoneypacaldo419 2 роки тому +1

    Very clear nice teacher

  • @bestdeals-amazonus7779
    @bestdeals-amazonus7779 6 років тому +2

    Amazing! So clear! Thank you!!

  • @puju5085
    @puju5085 4 роки тому

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

  • @vasankeerthu3577
    @vasankeerthu3577 6 років тому +1

    very clear explanation!
    thank you sir

  • @aleckmando7286
    @aleckmando7286 2 роки тому

    You are the best. 👏

  • @tarikchattouri5506
    @tarikchattouri5506 3 роки тому +1

    You are my hero

  • @dddd-ci2zm
    @dddd-ci2zm 2 роки тому

    This is UA-cam Gold!

  • @ADNANAHMED-eo5xx
    @ADNANAHMED-eo5xx 3 роки тому

    Thanks Sir, it was really helpful

  • @seechuolwarnyang3872
    @seechuolwarnyang3872 2 роки тому +1

    Great point

  • @KidusKetema-e3y
    @KidusKetema-e3y Рік тому

    this man just awsome🙌🙌🙌

  • @Itzali
    @Itzali 3 роки тому +1

    Thank you

  • @zehra1058
    @zehra1058 Рік тому

    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?

  • @javaexpertsa8947
    @javaexpertsa8947 6 років тому

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

  • @souravyogi3372
    @souravyogi3372 5 років тому

    Thanks Trefor.Very cool

  • @shashikalaraju5769
    @shashikalaraju5769 4 роки тому

    Thank you so much Trefor.

  • @s.o.peprah7114
    @s.o.peprah7114 5 років тому

    Very succinct and clear

  • @rushdaquraishi2206
    @rushdaquraishi2206 7 років тому +1

    Very Helpful
    Thank you very much

  • @soldiamed
    @soldiamed 6 років тому +1

    Well done, thank you

  • @mariaraghedmaria2374
    @mariaraghedmaria2374 4 роки тому +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 роки тому

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

  • @Firomsa-g8m
    @Firomsa-g8m Рік тому

    Thanks millions

  • @akashchowdhury684
    @akashchowdhury684 3 роки тому

    amazing stuff

  • @sakshimahawar1125
    @sakshimahawar1125 7 років тому

    Thank you for nice explanation.

  • @mannuelf
    @mannuelf 4 роки тому

    excellent thank you sir.

  • @ashwanikumar4288
    @ashwanikumar4288 6 років тому

    You sir are awesome

  • @n00man
    @n00man 6 років тому

    Very helpful. Thank you.

  • @harleykf1
    @harleykf1 4 роки тому

    So helpful, thank you very much :)

    • @DrTrefor
      @DrTrefor  4 роки тому

      Glad it was helpful!

  • @sarkersaadahmed
    @sarkersaadahmed Рік тому

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

  • @dustinspencer8593
    @dustinspencer8593 3 роки тому +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 роки тому

      I was looking for this comment

  • @dataadmin3734
    @dataadmin3734 5 років тому +1

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

    • @Omar-gr7km
      @Omar-gr7km 3 роки тому

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

  • @ll-bc4gn
    @ll-bc4gn 3 роки тому

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

  • @yongmrchen
    @yongmrchen Рік тому

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

  • @suhailawm
    @suhailawm 5 років тому

    tnx alot sr. 4m srilanka

  • @PUBGGAMERHANAN
    @PUBGGAMERHANAN 6 років тому

    thanks

  • @peacecitizen1
    @peacecitizen1 5 років тому

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

  • @Djdu7228xnxj
    @Djdu7228xnxj 3 роки тому

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

  • @garkipatiraviteja9130
    @garkipatiraviteja9130 6 років тому

    More depth videos I want

  • @sumeyrakoksal6244
    @sumeyrakoksal6244 4 роки тому

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

  • @sakshimahawar1125
    @sakshimahawar1125 7 років тому

    Sir pls make video on graph theory

  • @yuliamax5652
    @yuliamax5652 7 років тому

    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 років тому

      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

  • @ndarshaniliyanage1359
    @ndarshaniliyanage1359 3 роки тому

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

  • @Islamic....editssz
    @Islamic....editssz Рік тому +1

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

  • @Shams-256
    @Shams-256 Рік тому

    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

  • @rakshanarauf9918
    @rakshanarauf9918 5 років тому

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

    • @mohamedmourad5230
      @mohamedmourad5230 4 роки тому

      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

  • @qingen7005
    @qingen7005 7 років тому

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

    • @qingen7005
      @qingen7005 7 років тому

      Okay noted! Thank you!

  • @patconroy1874
    @patconroy1874 3 роки тому +2

    Huh ? How’d I end up here?

  • @travisk5046
    @travisk5046 5 років тому +1

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

    • @travisk5046
      @travisk5046 5 років тому

      @@DrTrefor actually really interesting, thanks for the insight

    • @Omar-gr7km
      @Omar-gr7km 3 роки тому

      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

  • @thrice5560
    @thrice5560 Рік тому

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

  • @-tiktoktrend1212
    @-tiktoktrend1212 4 роки тому

    jack whitehall !

  • @novelas3536
    @novelas3536 3 роки тому +3

    I wish I was 7 feet.

  • @black_lionbox2074
    @black_lionbox2074 4 роки тому

    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

  • @joneseyce
    @joneseyce 5 років тому

    Ed Bolian teaches maths.

  • @BRYDN_NATHAN
    @BRYDN_NATHAN 3 роки тому

    Thank you
    Your buttons are
    Backward

  • @piperduran5645
    @piperduran5645 5 років тому

    Confuse asf

  • @lemyul
    @lemyul 5 років тому

    thanks