yeah, so not real numbers, but integers, and all the various kinds of arithmetic groups
i remember, but not what, some insight a while back i had about how numbers have ways of "unfolding" something inside them quite a bit... i believe that this is what happens with discrete cosine transforms and cryptography too, there is almost always many other things that unpack out of a single integer, which does lead to an interesting other form of infinity, i believe that is what Cantor's theorem relates to - probably also hamming codes have this property being used in the opposite direction, also