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Topic: The Distinguishability argument of the Reals.
Replies: 83   Last Post: Jan 7, 2013 12:58 AM

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Virgil

Posts: 9,012
Registered: 1/6/11
Re: The Distinguishability argument of the Reals.
Posted: Jan 5, 2013 4:44 PM
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In article
<b7fc4126-ed54-4740-a873-0a64830621a0@h2g2000yqa.googlegroups.com>,
WM <mueckenh@rz.fh-augsburg.de> wrote:

> On 4 Jan., 22:38, Virgil <vir...@ligriv.com> wrote:
>

> > According to standard mathematics, a set is "countable" if and only if
> > there is  surjection from N to that set.

>
> If and only if? Do you agree that a subset of a countable set is
> countable?


Since a surjection from N to a superset of S trivially implies a
surjection to S, it also implies that any subset of a countable set is
also countable. at least outside of WMythology. What the rules are for
goes on inside or WMythology is only accessible to WM himself.
>
> The set of all finite definitions is countable.
> The set of all finitely defined reals cannot be put in bijection with |
> N, but it is a subset of all finite definitions, isn't it?


There is nothing in any definition of a complete ordered field of reals
that requires each of its members to be finitely definable.

At least not outside WMytheology.
--




Date Subject Author
1/1/13
Read The Distinguishability argument of the Reals.
Zaljohar@gmail.com
1/2/13
Read Re: The Distinguishability argument of the Reals.
mueckenh@rz.fh-augsburg.de
1/2/13
Read Re: The Distinguishability argument of the Reals.
Virgil
1/2/13
Read Re: The Distinguishability argument of the Reals.
Ralf Bader
1/3/13
Read Re: The Distinguishability argument of the Reals.
Virgil
1/3/13
Read Re: The Distinguishability argument of the Reals.
Zaljohar@gmail.com
1/3/13
Read Re: The Distinguishability argument of the Reals.
gus gassmann
1/3/13
Read Re: The Distinguishability argument of the Reals.
Zaljohar@gmail.com
1/3/13
Read Re: The Distinguishability argument of the Reals.
gus gassmann
1/3/13
Read Re: The Distinguishability argument of the Reals.
Zaljohar@gmail.com
1/3/13
Read Re: The Distinguishability argument of the Reals.
mueckenh@rz.fh-augsburg.de
1/3/13
Read Re: The Distinguishability argument of the Reals.
Virgil
1/3/13
Read Re: The Distinguishability argument of the Reals.
fom
1/4/13
Read Re: The Distinguishability argument of the Reals.
Zaljohar@gmail.com
1/4/13
Read Re: The Distinguishability argument of the Reals.
fom
1/3/13
Read Re: The Distinguishability argument of the Reals.
mueckenh@rz.fh-augsburg.de
1/3/13
Read Re: The Distinguishability argument of the Reals.
Virgil
1/3/13
Read Re: The Distinguishability argument of the Reals.
fom
1/3/13
Read Re: The Distinguishability argument of the Reals.
Virgil
1/4/13
Read Re: The Distinguishability argument of the Reals.
gus gassmann
1/4/13
Read Re: The Distinguishability argument of the Reals.
mueckenh@rz.fh-augsburg.de
1/4/13
Read Re: The Distinguishability argument of the Reals.
fom
1/5/13
Read Re: The Distinguishability argument of the Reals.
mueckenh@rz.fh-augsburg.de
1/5/13
Read Re: The Distinguishability argument of the Reals.
Virgil
1/5/13
Read Re: The Distinguishability argument of the Reals.
fom
1/4/13
Read Re: The Distinguishability argument of the Reals.
Virgil
1/5/13
Read Re: The Distinguishability argument of the Reals.
mueckenh@rz.fh-augsburg.de
1/5/13
Read Re: The Distinguishability argument of the Reals.
Virgil
1/4/13
Read Re: The Distinguishability argument of the Reals.
Virgil
1/4/13
Read Re: The Distinguishability argument of the Reals.
gus gassmann
1/4/13
Read Re: The Distinguishability argument of the Reals.
ross.finlayson@gmail.com
1/5/13
Read Re: The Distinguishability argument of the Reals.
Virgil
1/5/13
Read Re: The Distinguishability argument of the Reals.
ross.finlayson@gmail.com
1/5/13
Read Re: The Distinguishability argument of the Reals.
Virgil
1/5/13
Read Re: The Distinguishability argument of the Reals.
fom
1/5/13
Read Re: The Distinguishability argument of the Reals.
ross.finlayson@gmail.com
1/6/13
Read Re: The Distinguishability argument of the Reals.
fom
1/6/13
Read Re: The Distinguishability argument of the Reals.
ross.finlayson@gmail.com
1/6/13
Read Re: The Distinguishability argument of the Reals.
Virgil
1/6/13
Read Re: The Distinguishability argument of the Reals.
ross.finlayson@gmail.com
1/6/13
Read Re: The Distinguishability argument of the Reals.
Virgil
1/6/13
Read Re: The Distinguishability argument of the Reals.
ross.finlayson@gmail.com
1/6/13
Read Re: The Distinguishability argument of the Reals.
Virgil
1/6/13
Read Re: The Distinguishability argument of the Reals.
ross.finlayson@gmail.com
1/6/13
Read Re: The Distinguishability argument of the Reals.
Virgil
1/6/13
Read Re: The Distinguishability argument of the Reals.
ross.finlayson@gmail.com
1/6/13
Read Re: The Distinguishability argument of the Reals.
Virgil
1/7/13
Read Re: The Distinguishability argument of the Reals.
ross.finlayson@gmail.com
1/7/13
Read Re: The Distinguishability argument of the Reals.
Virgil
1/3/13
Read Re: The Distinguishability argument of the Reals.
fom
1/3/13
Read Re: The Distinguishability argument of the Reals.
fom
1/4/13
Read Re: The Distinguishability argument of the Reals.
mueckenh@rz.fh-augsburg.de
1/4/13
Read Re: The Distinguishability argument of the Reals.
fom
1/5/13
Read Re: The Distinguishability argument of the Reals.
mueckenh@rz.fh-augsburg.de
1/5/13
Read Re: The Distinguishability argument of the Reals.
Virgil
1/5/13
Read Re: The Distinguishability argument of the Reals.
fom
1/6/13
Read Re: The Distinguishability argument of the Reals.
Virgil
1/6/13
Read Re: The Distinguishability argument of the Reals.
fom
1/6/13
Read Re: The Distinguishability argument of the Reals.
Virgil
1/6/13
Read Re: The Distinguishability argument of the Reals.
fom
1/6/13
Read Re: The Distinguishability argument of the Reals.
ross.finlayson@gmail.com
1/4/13
Read Re: The Distinguishability argument of the Reals.
Virgil
1/3/13
Read Re: The Distinguishability argument of the Reals.
mueckenh@rz.fh-augsburg.de
1/3/13
Read Re: The Distinguishability argument of the Reals.
Virgil
1/3/13
Read Re: The Distinguishability argument of the Reals.
forbisgaryg@gmail.com
1/3/13
Read Re: The Distinguishability argument of the Reals.
Virgil
1/4/13
Read Re: The Distinguishability argument of the Reals.
Zaljohar@gmail.com
1/4/13
Read Re: The Distinguishability argument of the Reals.
Virgil
1/4/13
Read Re: The Distinguishability argument of the Reals.
Zaljohar@gmail.com
1/4/13
Read Re: The Distinguishability argument of the Reals.
mueckenh@rz.fh-augsburg.de
1/4/13
Read Re: The Distinguishability argument of the Reals.
fom
1/5/13
Read Re: The Distinguishability argument of the Reals.
mueckenh@rz.fh-augsburg.de
1/5/13
Read Re: The Distinguishability argument of the Reals.
fom
1/5/13
Read Re: The Distinguishability argument of the Reals.
mueckenh@rz.fh-augsburg.de
1/5/13
Read Re: The Distinguishability argument of the Reals.
Virgil
1/5/13
Read Re: The Distinguishability argument of the Reals.
fom
1/5/13
Read Re: The Distinguishability argument of the Reals.
Virgil
1/4/13
Read Re: The Distinguishability argument of the Reals.
Virgil
1/3/13
Read Re: The Distinguishability argument of the Reals.
mueckenh@rz.fh-augsburg.de
1/3/13
Read Re: The Distinguishability argument of the Reals.
Virgil
1/4/13
Read Re: The Distinguishability argument of the Reals.
mueckenh@rz.fh-augsburg.de
1/4/13
Read Re: The Distinguishability argument of the Reals.
fom
1/4/13
Read Re: The Distinguishability argument of the Reals.
Virgil
1/2/13
Read Re: The Distinguishability argument of the Reals.
Bill Taylor

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