Least upper bound proof

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  • Опубликовано: 13 дек 2024

Комментарии • 19

  • @NotoriousSRG
    @NotoriousSRG 4 года назад +8

    I love how he approaches set theory! Very good!

  • @ReCaptchaHeinz
    @ReCaptchaHeinz 4 года назад +1

    Maaaan I was meant to study this year's before, but it's now that you make me feel amazed by how cool is stuff. I always heard of "cuts to define R" but I never actually saw it from the beginning. Thank you! Keep on!! 🔥🔥🔥🔥

  • @azhakabad4229
    @azhakabad4229 4 года назад +5

    Please start lectures on discrete mathematics!

    • @drpeyam
      @drpeyam  4 года назад +6

      Nooooo 😭😭😭😭😭

    • @johnclever8813
      @johnclever8813 4 года назад

      Dr Peyam
      Do Fourier Analysis!

  • @dgrandlapinblanc
    @dgrandlapinblanc 2 года назад

    Ok. Thank you very much.

  • @thedoublehelix5661
    @thedoublehelix5661 4 года назад +2

    Quick nitpick: This doesn't matter at all but it really annoys me how we arbitrarily chose the cut to be infinite from below. We could've constructed the cuts so that they're infinite above and it would be the exact same so I think maybe we should have the real numbers be equivalence classes on upper and lower cuts. (I'm p sure each upper cut has a corresponding lower cut.

    • @sebmata135
      @sebmata135 4 года назад +2

      Cuts are actually defined the way you say. For simplicity, we just deal with the lower cut. You should read an analysis book for more details.

  • @jonasdaverio9369
    @jonasdaverio9369 4 года назад +1

    That's a very beautiful idea! Do you know who came up with it first?

    • @drpeyam
      @drpeyam  4 года назад

      Dedekind maybe?

  • @u.s.r.00
    @u.s.r.00 Год назад

    Shocked

  • @alwysrite
    @alwysrite 4 года назад +3

    what field of math does this come under?

    • @drpeyam
      @drpeyam  4 года назад +4

      Analysis and Set Theory

  • @lasithanirmitha321
    @lasithanirmitha321 4 года назад

    Can someone tell me what is a cut?

    • @drpeyam
      @drpeyam  4 года назад +1

      Real Numbers Construction ruclips.net/video/ZWRnZhYv0G0/видео.html

    • @lasithanirmitha321
      @lasithanirmitha321 4 года назад

      Thank you Dr. Peyam

  • @MathswithMuneer
    @MathswithMuneer 4 года назад

    hi, I am also a math teacher

    • @162chetan
      @162chetan 2 года назад

      Than Wtf you are doing here... Just Go and teach the Maths

    • @162chetan
      @162chetan 2 года назад

      😝