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Topic: Distinguishability argument x Cantor's arguments?
Replies: 15   Last Post: Jan 9, 2013 4:32 PM

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Registered: 1/29/05
Re: Distinguishability argument x Cantor's arguments?
Posted: Jan 9, 2013 1:40 AM
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On 9 Jan., 00:15, Virgil <> wrote:
> In article
> <>,
>  WM <> wrote:

> > On 8 Jan., 14:44, (Michael Stemper)
> > > However, ANY real can be distinguished from ANY other by SOME finite
> > > initial segment of its decimal, or other base, representation.

> > The problem is not distinguishing given reals, but how reals can
> > uniquely by *given*. That requires a finite definition. But I am
> > afraid that you don't even understand what that means.

> A set is determined by any rule for distinguishing whether a test object
> is or is not a member.

A real number is determined or "given" by a unique word. Otherwise it
could not be used. And it was not possible to compare some finite
initial segment of it with something else.

Regards, WM

Regards, WM

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