Re: Is continuum completely filled up?



Martin Semerád wrote:

As I said before - wirst step is to understand, why sqrt(2) is NOT an
rational number. In the second step, on this higher level, you can
learn how to construct such natural numbers P and Q that satisfied:
P/Q = sqrt(2).

There are no integers P, Q such that (P/Q)^2 = 2. It is easily proven.

Bob Kolker
.