Virgil
Posts:
9,012
Registered:
1/6/11


Re: Finitely definable reals.
Posted:
Jan 15, 2013 2:02 PM


In article <1066549dbdc64d9393cbc8479d9634a6@c16g2000yqi.googlegroups.com>, WM <mueckenh@rz.fhaugsburg.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 nonzero decimal digits to a finite number, but standard mathematics does not do so. > > REgards, WM 

