Virgil
Posts:
4,674
Registered:
1/6/11
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Re: Finitely definable reals.
Posted:
Jan 15, 2013 2:02 PM
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In article
<1066549d-bdc6-4d93-93cb-c8479d9634a6@c16g2000yqi.googlegroups.com>,
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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