Continuum hypothesis

https://en.wikipedia.org/wiki/Continuum_hypothesis
"There is no set whose cardinality is strictly between that of the integers and the real numbers."
(n/2) set: 0,0.5,1,1.5,2,2.5
Its bigger than integer set(x2) and smaller than reals.

The reals
vs
the set of all reals that don't contain the digits 1,3,5,7,9 ."even-digited reals"
Now, where is thy continuum?