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
This is a classic paradox (Zeno’s paradox). The thing is, while the number of divisions approaches infinity, the length of each division approaches zero. So mathematically, the problem of traversal ends up being a summation of zero times infinity. The two end up cancelling each other out, leaving you with a finite value.
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