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
Number can get infinitely smaller; distances cannot. There is a finite unit of length, called the planck length, that is theorized to be the smallest possible unit of distance. In any case, no widely accepted model of physics can make meaningful statements about any distance smaller than that. That being said, objects don’t “touch” in the sense that there is truly zero distance between their atoms. Even atoms themselves are mostly empty space.
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