```Date: Feb 24, 2013 5:26 AM
Author: mueckenh@rz.fh-augsburg.de
Subject: Re: Matheology § 222 Back to the roots

On 24 Feb., 01:19, Virgil <vir...@ligriv.com> wrote:> > >  There is certainly no meaning of "linear" in English> > > mathematics that is appropriate.>> > Then use German mathematics. There it is.>> > f(ax + by) = af(x) + bf(y)>> With suitable interpretations for f, a, b, x and y, this would makes f a> linear function.It is not hard to find this interpretation in mathematics.>> But if f is to be a mapping between the set of all paths of a Complete> Infinite Binary Tree and the set of all subsets of |N, which is the only> sort of mapping under consideration when WM claimed linearity, I defy WM> to come up with an appropriate definition of a,b,x and y which will make> such an f a linear mapping.>Two binary strings are treated like two real numbers. In fact they arenothing but representations of real numbers.>>> > f(string) = path>> > > > This shows a contradiction> > > > - at least in case someone accepts> > > > Hessenberg's trick as part of mathematics.>> > > To which Hessenberg, Karl or Gerard or some other one, does WM refer?>> > That one who "proved" the uncountability of P(|N), Gerhard that is.>> > > And to what alleged "tricks"?>> > To look for a set that cannot exist.>> What prevents it from existing?Simplest logic. Try to find a set that contains its number if it doesnot contain its number. Isn't that simple?Regards, WM
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