One simply cannot "count" with "real" numbers. But "floats" is probably countable since it's represented with limited digits. However, considering the inherent

One simply cannot "count" with "real" numbers. But "floats" is probably countable since it's represented with limited digits. However, considering the inherent error associated with it, I wouldn't say it's countable. Also, if you are trying to find an infinite large number, for any arbitrarily large real number, you can find a larger integer and vice versa. But the point here is that there are more real numbers than integers.