Re: Cantor and the binary tree



*** T. Winter wrote:
> In article <1121788003.851796.93150@xxxxxxxxxxxxxxxxxxxxxxxxxxxx> mueckenh@xxxxxxxxxxxxxxxxx writes:
> > *** T. Winter wrote:
> > > In what way does this quote show that every function is differentiable
> > > everywhere?
> >
> > That would be a false statement.
>
> Oh. Read the book by Lavendhomme and see a situation where every function
> is differentliable everywhere.

Every sequence is a function. No sequence is differentiable.
You should not believe every nonsense written down somewhere.
>
> > > Or in what way is it connected with the discussion?
> >
> > You said the fathers of analysis had other axioms.
>
> I did not say anything like that at all.

You said recently (Jul 17) on

> > > as are the people that took intuition
> > > to a meaning of delta x that made every function differentiable.
> >
> > Why are these people not serious? They used the potentially
infinite
> > with full right.
>
> They may have been, like WM, quite serious, but they were also, like
WM
> is, quite wrong!

DTW:
They are not quite wrong. In their axiom system it is simply true.

Those people were Leibniz, Euler, Cauchy, Weierstraß and many others,
even Cantor. They had no axioms but were able to think by themselves.

Regards, WM

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