Graph Theory 9: Philosophical Signifance of Four Color Theorem

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  • เผยแพร่เมื่อ 2 เม.ย. 2020
  • Discusses why the Appel and Haken's computer-assisted proof of the four color theorem (1960) caused controversy. References Tymoczko's "The Four Color Theorem and Its Philosophical Significance": www.semanticscholar.org/paper...

ความคิดเห็น • 12

  • @HSUmusic
    @HSUmusic 3 ปีที่แล้ว +1

    Thank you, exactly the kind of concise treatment I was looking for

  • @christopherwalsh3101
    @christopherwalsh3101 3 ปีที่แล้ว

    I hope my homework tonight is about the Four Color Theory, given its been the last three videos!

  • @cafeinst
    @cafeinst 2 ปีที่แล้ว +1

    I like reading Doron Zeilberger’s take on all of this.

  • @allabouthim82
    @allabouthim82 3 ปีที่แล้ว

    Wow, amazing video

  • @relike868p
    @relike868p 3 ปีที่แล้ว +1

    But can we still check the 1936 cases ourselves as humans?

    • @MathatAndrews
      @MathatAndrews  3 ปีที่แล้ว +1

      In principle, yes! But in practice, no, as it is far too much work.

  • @bradleyobare5379
    @bradleyobare5379 3 ปีที่แล้ว

    Your making me love math

  • @mehrdadghominejad4851
    @mehrdadghominejad4851 2 ปีที่แล้ว

    You said that this theorem can be easily proved for 5 colors. Would you give me a reference about it ? I mean how we can understand that 5 colors for every kind of maps are enough?

    • @MathatAndrews
      @MathatAndrews  2 ปีที่แล้ว

      You can see that proof explained here: th-cam.com/video/5mdH0UeBaR0/w-d-xo.html