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Topic: Finitely definable reals.
Replies: 52   Last Post: Jan 18, 2013 2:37 PM

 Messages: [ Previous | Next ]
 Virgil Posts: 8,833 Registered: 1/6/11
Re: Finitely definable reals.
Posted: Jan 15, 2013 2:02 PM

In article
WM <mueckenh@rz.fh-augsburg.de> wrote:

> On 14 Jan., 23:46, Virgil <vir...@ligriv.com> wrote:
>

> > > In my opinion everything that in mathematics can be used to express
> > > 1/3 as a decimal fraction is "all its finite digits". That means, only
> > > in the infinite we obtain 1/3, but a better phrase describing "the
> > > infinite" is simply "never".

> >
> > Thus WM throws out every limit process, including all of canlculus.

>
> That seems only so to unknowledgeable persons. Limit processes existed
> long before Cantor.

But WM would throw them out by saying, as he does above, "never"!
> >
> > > We will never obtain 1/3 as a decimal.
> >
> > Certainly WM won't, but calculus will.

>
> Why then does calculus never publish his/her/its? the achievement?

It is too trivial a result to make much of.

Every decimal can be represented as a sign and a power of 10 and an
infinite sequence of decimal digits. In his WMytheology, WM would limit
the number of non-zero decimal digits to a finite number, but standard
mathematics does not do so.
>
> REgards, WM

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