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Topic: The Distinguishability argument of the Reals.
Replies: 21   Last Post: Jan 11, 2013 10:42 AM

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Alan Smaill

Posts: 757
Registered: 1/29/05
Re: The Distinguishability argument of the Reals.
Posted: Jan 8, 2013 6:32 AM
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WM <mueckenh@rz.fh-augsburg.de> writes:

> 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?
>
> 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?


Is this set countable, in your opinion?

>
> Regards, WM


--
Alan Smaill


Date Subject Author
1/8/13
Read Re: The Distinguishability argument of the Reals.
Alan Smaill
1/8/13
Read Re: The Distinguishability argument of the Reals.
mueckenh@rz.fh-augsburg.de
1/8/13
Read Re: The Distinguishability argument of the Reals.
Virgil
1/8/13
Read Re: The Distinguishability argument of the Reals.
ross.finlayson@gmail.com
1/8/13
Read Re: The Distinguishability argument of the Reals.
Virgil
1/9/13
Read Re: The Distinguishability argument of the Reals.
ross.finlayson@gmail.com
1/9/13
Read Re: The Distinguishability argument of the Reals.
Virgil
1/9/13
Read Re: The Distinguishability argument of the Reals.
ross.finlayson@gmail.com
1/9/13
Read Re: The Distinguishability argument of the Reals.
Virgil
1/8/13
Read Re: The Distinguishability argument of the Reals.
Virgil
1/9/13
Read Re: The Distinguishability argument of the Reals.
mueckenh@rz.fh-augsburg.de
1/9/13
Read Re: The Distinguishability argument of the Reals.
Virgil
1/9/13
Read Re: The Distinguishability argument of the Reals.
mueckenh@rz.fh-augsburg.de
1/9/13
Read Re: The Distinguishability argument of the Reals.
Virgil
1/9/13
Read Re: The Distinguishability argument of the Reals.
mueckenh@rz.fh-augsburg.de
1/9/13
Read Re: The Distinguishability argument of the Reals.
Virgil
1/10/13
Read Re: The Distinguishability argument of the Reals.
mueckenh@rz.fh-augsburg.de
1/10/13
Read Re: The Distinguishability argument of the Reals.
Virgil
1/10/13
Read Re: The Distinguishability argument of the Reals.
mueckenh@rz.fh-augsburg.de
1/10/13
Read Re: The Distinguishability argument of the Reals.
Virgil
1/11/13
Read Re: The Distinguishability argument of the Reals.
mueckenh@rz.fh-augsburg.de

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