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Topic: Matheology § 285
Replies: 84   Last Post: Jun 15, 2013 6:05 PM

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mueckenh@rz.fh-augsburg.de

Posts: 15,457
Registered: 1/29/05
Re: Matheology § 285
Posted: Jun 14, 2013 2:53 AM
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On Thursday, 13 June 2013 18:24:14 UTC+2, Zeit Geist wrote:

> I said for each particular q e Q, you must be able to produce a natural number m_(1/2) such that at step m(1/2) we have for at least one-half of all rationals p, p < q, p is in the natural order.

Why?

Why should that be required? Is there some axiom demanding it?

> For a general well-ordering of the rationals, not in order of magnitude, we don't have to worry about, say, 1/2 of the rations less than q.

With exactly the same right you could demand that there is an n such that half of all natural numbers have been attached to rationals. And that there is an m such that 2/3 of all natural numbers have been attached, and so on. In fact that would make sense and we could trust in countability - as your naive idea shows. But that is not possible. Quite the reverse! Enumerate the rationals as far as you like. Let n be the largest natural number that ever a human being will think about. Then with 1, 2, ..., n you will have enumerated less than
10^-10000000000000000000000000000000000 of all rationals. Much less!

Your idea should show you very clearly what a nonsense notion countability is.

Regards, WM



Date Subject Author
6/11/13
Read Matheology § 285
mueckenh@rz.fh-augsburg.de
6/11/13
Read Re: Matheology � 285
Virgil
6/11/13
Read Re: Matheology § 285
JT
6/11/13
Read Re: Matheology § 285
Tucsondrew@me.com
6/11/13
Read Re: Matheology § 285
mueckenh@rz.fh-augsburg.de
6/11/13
Read Re: Matheology � 285
Virgil
6/11/13
Read Re: Matheology § 285
Tucsondrew@me.com
6/11/13
Read Re: Matheology § 285
mueckenh@rz.fh-augsburg.de
6/11/13
Read Re: Matheology § 285
Tucsondrew@me.com
6/11/13
Read Re: Matheology � 285
Virgil
6/12/13
Read Re: Matheology § 285
mueckenh@rz.fh-augsburg.de
6/12/13
Read Re: Matheology § 285
Tucsondrew@me.com
6/12/13
Read Re: Matheology � 285
Virgil
6/11/13
Read Re: Matheology § 285
Ralf Bader
6/11/13
Read Re: Matheology § 285
Tucsondrew@me.com
6/11/13
Read Re: Matheology � 285
Virgil
6/12/13
Read Re: Matheology § 285
mueckenh@rz.fh-augsburg.de
6/12/13
Read Re: Matheology § 285
Tucsondrew@me.com
6/12/13
Read Re: Matheology § 285
mueckenh@rz.fh-augsburg.de
6/12/13
Read Re: Matheology � 285
Virgil
6/12/13
Read Re: Matheology § 285
Tucsondrew@me.com
6/13/13
Read Re: Matheology § 285
mueckenh@rz.fh-augsburg.de
6/13/13
Read Re: Matheology § 285
Tucsondrew@me.com
6/14/13
Read Re: Matheology § 285
mueckenh@rz.fh-augsburg.de
6/14/13
Read Re: Matheology § 285
Tucsondrew@me.com
6/14/13
Read Re: Matheology § 285
mueckenh@rz.fh-augsburg.de
6/14/13
Read Re: Matheology § 285
Tucsondrew@me.com
6/15/13
Read Re: Matheology § 285
mueckenh@rz.fh-augsburg.de
6/15/13
Read Re: Matheology § 285
Tucsondrew@me.com
6/15/13
Read Re: Matheology � 285
Virgil
6/15/13
Read Re: Matheology � 285
Tanu R.
6/15/13
Read Re: Matheology § 285
mueckenh@rz.fh-augsburg.de
6/15/13
Read Re: Matheology � 285
Virgil
6/15/13
Read Re: Matheology � 285
Virgil
6/14/13
Read Re: Matheology � 285
Virgil
6/13/13
Read Re: Matheology � 285
Virgil
6/12/13
Read Re: Matheology � 285
Virgil
6/12/13
Read Re: Matheology § 285
mueckenh@rz.fh-augsburg.de
6/12/13
Read Re: Matheology � 285
Virgil
6/12/13
Read Re: Matheology § 285
Tucsondrew@me.com
6/12/13
Read Re: Matheology � 285
Virgil
6/13/13
Read Re: Matheology § 285
mueckenh@rz.fh-augsburg.de
6/13/13
Read Re: Matheology � 285
Virgil
6/11/13
Read Re: Matheology § 285
Virgil
6/12/13
Read Re: Matheology § 285
mueckenh@rz.fh-augsburg.de
6/12/13
Read Re: Matheology § 285
Tucsondrew@me.com
6/12/13
Read Re: Matheology § 285
mueckenh@rz.fh-augsburg.de
6/12/13
Read Re: WMytheology ???
Virgil
6/12/13
Read Re: WMytheology ???
Scott Berg
6/12/13
Read Re: WMytheology ???
Virgil
6/12/13
Read Re: Matheology § 285
Tucsondrew@me.com
6/13/13
Read Re: Matheology § 285
mueckenh@rz.fh-augsburg.de
6/13/13
Read Re: Matheology § 285
Virgil
6/12/13
Read Re: Matheology § 285
Virgil
6/12/13
Read Re: Matheology § 285
mueckenh@rz.fh-augsburg.de
6/12/13
Read Re: Matheology � 285
Virgil
6/11/13
Read Re: Matheology § 285
LudovicoVan
6/11/13
Read Re: Matheology § 285
mueckenh@rz.fh-augsburg.de
6/11/13
Read Re: Matheology § 285
LudovicoVan
6/11/13
Read Re: Matheology § 285
mueckenh@rz.fh-augsburg.de
6/11/13
Read Re: Matheology § 285
Tucsondrew@me.com
6/11/13
Read Re: Matheology § 285
Tucsondrew@me.com
6/12/13
Read Re: Matheology § 285
mueckenh@rz.fh-augsburg.de
6/12/13
Read Re: Matheology � 285
Virgil
6/12/13
Read Re: Matheology § 285
mueckenh@rz.fh-augsburg.de
6/12/13
Read Re: Matheology § 285
Tucsondrew@me.com
6/12/13
Read Re: Matheology § 285
mueckenh@rz.fh-augsburg.de
6/12/13
Read Re:Outside the wild weird world of WMytheology
Virgil
6/12/13
Read Re: Matheology § 285
Tucsondrew@me.com
6/12/13
Read Re: Matheology � 285
Virgil
6/12/13
Read Re: Matheology � 285
Virgil
6/13/13
Read Re: Matheology § 285
mueckenh@rz.fh-augsburg.de
6/13/13
Read Re: Matheology � 285
Virgil
6/12/13
Read Re: Matheology � 285
Virgil
6/11/13
Read Re: Matheology § 285
LudovicoVan
6/11/13
Read Re: Matheology � 285
Virgil
6/11/13
Read Re: Matheology � 285
Tanu R.
6/11/13
Read Re: Matheology § 285
Tucsondrew@me.com
6/11/13
Read Re: Matheology § 285
Tucsondrew@me.com
6/11/13
Read Re: Matheology § 285
Tucsondrew@me.com
6/11/13
Read Re: Matheology � 285
Virgil
6/11/13
Read Re: Matheology � 285
Tanu R.
6/11/13
Read Re: Matheology ? 285
Virgil
6/11/13
Read Re: Matheology ? 285
Tanu R.

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