The way I had the 0.999…=1 concept explained to me (evidently late, I was out of high school when I encountered it) is that there are infinities which are large

The way I had the 0.999…=1 concept explained to me (evidently late, I was out of high school when I encountered it) is that there are infinities which are larger or smaller than other ones. I now know this more familiarly as sets: the infinite set of half distances in Zeno’s paradox is a subset of another infinite set in the same paradox, where the distance to travel is greater. If, for instance, your destination is the chemist down the road, that’s a smaller[1] infinite set of half distances than traversing all of space. Because we are living beings who move beyond our initial destinations, with compounding goals we reach the smaller infinite set because it’s a subset of a larger one. And because we're living beings who are mortal, we eventually cease movement presumably at some increment less than 1/1 of some particular destination or goal. There, not a paradox! We are simultaneously able to move because there is no singular infinite subset of distances to traverse, and unable to move at a distinct point in time because we die before we exhaust the infinite superset of other distances to traverse, but we’ve already traversed some subset of it by that point. 1: peanuts/1, and this is the first time I’ve got to reference the same joke on HN twice in totally different contexts just a few days apart.