There is at least one subset of reals that are countable. The natural numbers are a subset of the reals, for example. I guess there is more than one such subset

There is at least one subset of reals that are countable. The natural numbers are a subset of the reals, for example. I guess there is more than one such subset; say, every integer plus 0.1. If that works, then there is an infinite (and uncountable) number of subsets of the reals that are countable. /me not a mathematician. /me didn't watch the video.