– Zeno’s Paradox aka Achilles and the Tortoise

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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

2 Answers

Anonymous 0 Comments

Zeno’s paradox says that, before you can get halfway to your goal, you must get 1/4 way to your goal. Before you can get 1/4 way, you must get 1/8. So on and so forth, creating infinite ‘steps’ that you need to complete before you can get to the end.

It then asserts that this is impossible, because you cannot complete infinite steps.

This assertion is wrong, though, and the “paradox” is proof of it. “Infinite steps” does not mean infinite work – each smaller step is also less work and it never takes any more work than it did when it was just one step.

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