```Date: Dec 5, 2012 11:03 PM
Author: ross.finlayson@gmail.com
Subject: Re: Cantor's first proof in DETAILS

On Dec 4, 1:15 pm, Virgil <vir...@ligriv.com> wrote:> In article> <42cabcca-089d-456f-837a-c1d789bda...@jj5g2000pbc.googlegroups.com>,>  "Ross A. Finlayson" <ross.finlay...@gmail.com> wrote:>> >  And Heaviside's step is continuous,> > now.  For that matter it's a real function.>> I already said that the step function is a real function, I only> objected to your claim that it was a continuous function.> --Heh, then you said it wasn't, quite vociferously:  you were wrong, andwithin the course of a few posts wrote totally opposite things.  Yourmemory fails and that's generous, not to mention you appear unable toread three posts back.And everybody sees that.Then as noted Heaviside's step, a real function, can be simply drawnclassically: without lifting the pencil.  It's continuous that way.And simply, the limit from the left and right is connected to the linethrough the origin.Draw a line:  you can't lift the pencil.  That's basically whatCantor's proofs say, of functions from natural integers, to linesegments of the reals.  Stippling never fills the line:  draw it.Draw a line without putting down the pencil.Good luck with that,Ross Finlayson
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