If numbers are infinite, and they can get infinitely smaller, then how is it possible that we can touch anything? Wouldn’t the distance between my foot and the floor, for example, just keep getting infinitely smaller?
In: Mathematics
What you’re describing is the Achilles and the Tortoise paradox. You can keep making infinitely smaller and smaller segments to pass. However, the time it takes to travel those segments also becomes infinitely smaller and smaller. In these paradoxes, those infinities effectively cancel each other out.
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