Guy King wrote:
The message
from "Dave Plowman (News)" contains these words:

But can their be? The maximum ratio is fixed, so surely to have an
infinite number the other has to be 0?

Any number space can be infinitely subdivided.

Not natural [1] numbers.
--
ah

[1] n = {0,1,2,€¦,nˆ’2,nˆ’1} = {0,1,2,€¦,nˆ’2} ˆª {nˆ’1} = (nˆ’1) ˆª {nˆ’1}