Gödel's Incompleteness Theorem

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  • Опубліковано 16 січ 2025
  • Is the concept of provability black and white? In this video, I provide a short introduction to logic and number theory and explain Gödel's Incompleteness Theorem.

КОМЕНТАРІ • 18

  • @barneywhiffin1936
    @barneywhiffin1936 Місяць тому +3

    this is easily the best explanation I've heard of these concepts. i love GEB but wish hofstadter had been this clear and concise

  • @tolep
    @tolep Місяць тому +3

    UA-cam recommended me (a guy from Poland) a video where a black girl, who apparently has a channel called PENTAGON, talks for three minutes about Gödel's incompleteness theorem. Video with 877 views in 2 days. It must be something great - I knew it in advance.

    • @OpenDeepLearning
      @OpenDeepLearning Місяць тому

      I am from Romania and it recommended me also

  • @channaduminda5072
    @channaduminda5072 Місяць тому

    This is mind blowing 🤯. Fantastic video. Keep up the good work! I’m the biggest fan of your work!!!

    • @pentagon-math
      @pentagon-math  Місяць тому

      @@channaduminda5072 It means a lot to me!

  • @user-ll5cu2nr3s
    @user-ll5cu2nr3s Місяць тому +1

    I love the video, I am a big fan of you!!

  • @paudni
    @paudni Місяць тому +1

    This is amazing!!!

  • @manoleioan6216
    @manoleioan6216 26 днів тому +1

    The a-dimensionality of an infinitely small point on the numbers ruler is in contradiction with the modular a-dimensionality of a fractal. So, from a fractal point of view, the foundation of measurement is impossible.

    • @pentagon-math
      @pentagon-math  25 днів тому

      That's something that's also amazed me. Startalk has an very insightful video that explains just this. What makes it even more exciting is that the fractal constructing any measured surface can be a decimal dimension!

  • @mohit.saklani1392
    @mohit.saklani1392 Місяць тому

    Hi, tomorrow is my math's exam and i am studying probability and u r video come in recommendations, and after i watch it, i am thinking 'can i prove that tomorrow i gonna pass or fail ' like this AXIOMS i am thinking i don't need to prove this "i am gonna fail".
    Math's is tough to prove .
    Wish me luck

    • @pentagon-math
      @pentagon-math  Місяць тому

      Wow, I wish you all the best! And don't worry, I'm sure you'll pass with flying colours :)

    • @mohit.saklani1392
      @mohit.saklani1392 Місяць тому

      @@pentagon-math Hmmm, i hope so. And i will thanks u if i get good marks tomorrow
      or i will thank u any way for the 'Flying colours wishes hahah'

    • @mohit.saklani1392
      @mohit.saklani1392 Місяць тому

      Hi 🙂. Guess what I am "Fail" and I proved my AXIOMS. 🥲🥲

  • @daveb4446
    @daveb4446 Місяць тому

    lol if you try this on an actual Boolean computer it’s just like “if you say so” and pretends it’s false. Because meta data is a description and not a question. It just takes it as a fact and assigns it the value of false and moves on.

  • @ruslan8820
    @ruslan8820 Місяць тому

    why this video on my recomendation? wtg

  • @shadowgamer3514
    @shadowgamer3514 Місяць тому +1

    Say you are older then me im 20 btw (coz im feeling jealous from ur math knowledge