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Ancient mathematical trickery proves that a mighty hero cannot overtake a tortoise (And that mortgages take a long time to pay off).

(Part 1 of 6)
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25 COMMENTS

  1. Muhammed YILMAZ Posted on July 21, 2020 at 8:37 pm

    This is ridiculous. Achilles is faster than this animal. We have a speed parameter.

    Reply
  2. 5 mins Handcraft Posted on July 21, 2020 at 8:37 pm

    This is actually Convergent Time series….. If you sum up the time up till it approaches infinity. You get the exact time where Achilles does pass the tortoise……

    Reply
  3. ?? Posted on July 21, 2020 at 8:37 pm

    Satoru Gojo brought me here

    Reply
  4. Matthew W Posted on July 21, 2020 at 8:37 pm

    Wait this doesn't make any sense. Achilles is going at a faster speed than the tortise. Since we are assuming constant velocity, that means their distances from the starting point are linear, with achilles' slope being steeper. Unless the tortise's head start was infinite, the two lines would eventually intersect and achilles would overtake the tortise. Someone pls explain

    Reply
  5. Oğuz Ekici Posted on July 21, 2020 at 8:37 pm

    ı would recommend ( achilles and tortoise )- Solution of Zeno's Paradoxes Part 2 https://youtu.be/ajN0HqALVDw

    Reply
  6. Oguz Ekici Posted on July 21, 2020 at 8:37 pm

    Solution of Zeno's Paradoxes Part1
    https://youtu.be/bwxjkXU3uZIZeno

    Reply
  7. Arpit Kaushal Posted on July 21, 2020 at 8:37 pm

    0:37 how will this carry on forever? smh. Please help.

    Reply
  8. Edmond Jack Posted on July 21, 2020 at 8:37 pm

    Achilles just wanted to prove how absurd was the idea of comprehending the existence and being as several/one

    Reply
  9. Ishita Taak Posted on July 21, 2020 at 8:37 pm

    I want to know who did the art for this video

    Reply
  10. TESFAYE Posted on July 21, 2020 at 8:37 pm

    The manga called Jujutsu brought me here! Cant wait to revisit this when the anime comes out!

    Reply
  11. wooosh me to support trump Posted on July 21, 2020 at 8:37 pm

    Y CANT ACHILLES RUN FASTER THAN THE TORTOISE

    Reply
  12. yingxiu wang Posted on July 21, 2020 at 8:37 pm

    In constant speed that's impossible

    Reply
  13. Don'tPlayOverwatch Posted on July 21, 2020 at 8:37 pm

    The equation for Achilles' distance covered is 10 x t. The equation for the tortoise's distance covered is 10 + t. If t is 1.1, then 11.1 > 11, and the tortoise is ahead.

    If t is 1.2, Achilles' distance covered is 12m, and the tortoise''s is 11.2. The "paradox" only holds up when you ignore the time factor.

    It's called a supertask: An infinite number of actions completed in a finite time. In this case, it's easily possible because the distance is getting smaller and easier to cover.

    When the tortoise is at 11.111 metres, it's 1.111 seconds into the race. It illustrates the concept of uncountable infinity. You could keep adding on another 1 to the end, and never reach 12. The fact is that he can still pass the tortoise, once you account for time.

    Reply
  14. Ix Suomi Posted on July 21, 2020 at 8:37 pm

    Osife and George Soros influence much?

    Reply
  15. trueviv Posted on July 21, 2020 at 8:37 pm

    ..This makes no sence.. It's not a paradoks for me.. It's nonescense.. faster will catch up with slower.

    If you walk 1, with headstart of 1=2 and i walk 2.. I'm going to catch up with you in the first step..

    If you walk 1 with headstart of 10, im going to catch up with you in (2×5=10) 5..

    Reply
  16. Eddie liang Posted on July 21, 2020 at 8:37 pm

    He probably does not have an idea of what “ velocity” is. Simply put, he can cover a much greater amount of distance in the same amount of time.

    Reply
  17. A Vu Posted on July 21, 2020 at 8:37 pm

    If the gap is getting smaller, that means that Achilles is running faster than the tortoise is walking. Which mean that if given enough time, Achilles will eventually bypass the tortoise… no?

    Reply
  18. Will Adams Posted on July 21, 2020 at 8:37 pm

    My favourite part is when suddenly time slows down only for Achilles.

    Reply
  19. Will Adams Posted on July 21, 2020 at 8:37 pm

    So Achilles decelerates every time he gets closer?

    1 + 2 = 3 + 2 = 5 + 2 = 7 + 2 = 9 + 2 = 11

    5 + 1 = 6 + 1 = 7 + 1 = 8 + 1 = 9 + 1 = 10

    As shown in the top row, Achilles takes the lead in the race.

    Unless he's trying to catch the turtle, then never mind.

    Reply
  20. TheGreatOldOak Posted on July 21, 2020 at 8:37 pm

    Which ever one if fastest will win.

    Reply
  21. MySerpentine Posted on July 21, 2020 at 8:37 pm

    This sort of thing is why I don't trust math to properly reflect reality.

    Reply
  22. JRmagician Posted on July 21, 2020 at 8:37 pm

    Time slows down for this to be possible, Achilles closeness to the turtle is always going up while time is always slowing down.

    Reply
  23. Frédéric Gourdeau Posted on July 21, 2020 at 8:37 pm

    Excellent and short. Thanks!

    Reply
  24. Snipper Joey Posted on July 21, 2020 at 8:37 pm

    Not one person in the fucking comments seems to even understand what this video is about. Of course Achilles would beat the fucking turtle but this just serves as an example of how "common sense" can make you think something that makes absolutely no sense if you think scientifically, showing that science beats human thought.

    Reply
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