Date: Dec 9, 2012 10:41 PM
Subject: Re: Cantor's first proof in DETAILS
"Ross A. Finlayson" <email@example.com> wrote:
> "There's no gap in this Heaviside step with connecting H(0+) and H(0-)
> with a simple line segment.
Since the H jumps from 0 to 1 at x = 0, tha segeemnt must have endpoints
(0,0) and (0,1),
The fiction being claimed to be continuous, for what x does the function
take the value 1/2?
> There is no point in it such that, not in
> the function, it is the only point in all neighborhoods of any  two
> points in the function, not in the function (not even a point
> discontinuity). Here "in the function" is each (x,y) in the combined
> coordinate image or co-range, with the function defined by the points
> in it.
I do not find enough sense in that to be worth its refutation.