Virgil
Posts:
8,833
Registered:
1/6/11


Re: Cantor's first proof in DETAILS
Posted:
Dec 9, 2012 10:41 PM


In article <7291902354574eca8d7c31e93d64036d@r10g2000pbd.googlegroups.com>, "Ross A. Finlayson" <ross.finlayson@gmail.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 [1] 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 corange, with the function defined by the points > in it.
I do not find enough sense in that to be worth its refutation. 

