I’ve always been a fan of classical works and I’ve just never been able to wrap my brain around this one. Also I know this is more physics than anything but I chose math cause it fit the closest. Thanks!!
In: Mathematics
The answer to Zeno’s Paradox is integral calculus. We know that fleet Achilles catches up and passes the Tortoise in real life. But the idea that you can’t perform an infinite number of smaller and smaller steps in a finite time seems logical.
But this is what integral calculus does: If adds up an infinite number of infinitely small areas to get a reasonable answer. The true formal proof of integral calculus is actually quite complicated and for the serious math geeks only, but there is a great explanation on the Khan Academy website showing why it works.
This video here is a pretty good explanation.
https://www.khanacademy.org/math/ap-calculus-ab/ab-integration-new/ab-6-1/v/introduction-to-integral-calculus
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