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

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……

Satoru Gojo brought me here

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

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

Solution of Zeno's Paradoxes Part1

https://youtu.be/bwxjkXU3uZIZeno

stom

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

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

I want to know who did the art for this video

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

Y CANT ACHILLES RUN FASTER THAN THE TORTOISE

In constant speed that's impossible

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.

Osife and George Soros influence much?

..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..

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.

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?

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

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.

Which ever one if fastest will win.

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

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

Excellent and short. Thanks!

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.