Comic Strips

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Comic Strips is a community for those who love comic stories.

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The post can be a single image, an image gallery, or a link to a specific comic hosted on another site (the author's website, for instance).
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Zeno's Dichotomy Paradox (sh.itjust.works)

submitted 1 year ago by otter_band@sh.itjust.works to c/comicstrips@lemmy.world

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Zeno's Dichotomy Paradox

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[–] NeatNit@discuss.tchncs.de 12 points 1 year ago (1 children)

I think this idea works, and it's consistent with the way the 'paradox' was presented. I just need to point out that movements aren't performed in steps, the intermediate positions are also continuous, so there are undoubtedly infinite positions to map with undoubtedly infinite instants. To me, that's the "true" solution.

As I see it, the only reason the paradox presents halving steps is because it's the easiest way to demonstrate that there are infinitely many steps. It doesn't bother to show that there's uncountably infinite steps because countable is sufficient.

But as I said, your proof (or disproof?) works for the argument as it was presented, so it's good!

I much prefer the physics approach: disproof by experiment! "Look at my gavel. According to your theory, it has infinitely many steps to go through before it reaches the pad, so it can never hit the pad." *bang* "Motion denied."