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Topic: Joel David Hamkins on definable real numbers in analysis
Replies: 98   Last Post: Jun 30, 2013 3:22 PM

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mueckenh@rz.fh-augsburg.de

Posts: 15,033
Registered: 1/29/05
Re: Joel David Hamkins on definable real numbers in analysis
Posted: Jun 24, 2013 5:00 AM
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On Sunday, 23 June 2013 23:17:27 UTC+2, Virgil wrote:


> FISONs are sets, not real numbers.

Cardinalities of FISONs are real numbers.

> The limit of a sequence of REAL NUMBERS may require delta-epsilonics, but the limit of a nested sequence of sets does not, and FISONs are such sets, not numbers.

In mathematics every reasonable limit has to differ by less than any given distance from infinitely many terms of the sequence.


Regards, WM



Date Subject Author
6/18/13
Read Joel David Hamkins on definable real numbers in analysis
fom
6/19/13
Read Re: Joel David Hamkins on definable real numbers in analysis
David Petry
6/19/13
Read Re: Joel David Hamkins on definable real numbers in analysis
fom
6/19/13
Read Re: Joel David Hamkins on definable real numbers in analysis
mueckenh@rz.fh-augsburg.de
6/19/13
Read Re: Joel David Hamkins on definable real numbers in analysis
Peter Percival
6/19/13
Read Re: Joel David Hamkins on definable real numbers in analysis
mueckenh@rz.fh-augsburg.de
6/19/13
Read Re: Joel David Hamkins on definable real numbers in analysis
Virgil
6/19/13
Read Re: Joel David Hamkins on definable real numbers in analysis
Tucsondrew@me.com
6/21/13
Read Re: Joel David Hamkins on definable real numbers in analysis
David C. Ullrich
6/21/13
Read Re: Joel David Hamkins on definable real numbers in analysis
mueckenh@rz.fh-augsburg.de
6/21/13
Read Re: Joel David Hamkins on definable real numbers in analysis
Virgil
6/22/13
Read Re: Joel David Hamkins on definable real numbers in analysis
mueckenh@rz.fh-augsburg.de
6/22/13
Read Re: Joel David Hamkins on definable real numbers in analysis
Virgil
6/22/13
Read Re: Joel David Hamkins on definable real numbers in analysis
mueckenh@rz.fh-augsburg.de
6/22/13
Read Re: Joel David Hamkins on definable real numbers in analysis
Virgil
6/22/13
Read Re: Joel David Hamkins on definable real numbers in analysis
mueckenh@rz.fh-augsburg.de
6/22/13
Read Re: Joel David Hamkins on definable real numbers in analysis
Tucsondrew@me.com
6/22/13
Read Re: Joel David Hamkins on definable real numbers in analysis
mueckenh@rz.fh-augsburg.de
6/22/13
Read Re: Joel David Hamkins on definable real numbers in analysis
Tucsondrew@me.com
6/23/13
Read Re: Joel David Hamkins on definable real numbers in analysis
mueckenh@rz.fh-augsburg.de
6/23/13
Read Re: Joel David Hamkins on definable real numbers in analysis
Tucsondrew@me.com
6/23/13
Read Re: Joel David Hamkins on definable real numbers in analysis
Tucsondrew@me.com
6/23/13
Read Re: Joel David Hamkins on definable real numbers in analysis
mueckenh@rz.fh-augsburg.de
6/23/13
Read Re: Joel David Hamkins on definable real numbers in analysis
Tucsondrew@me.com
6/23/13
Read Re: Joel David Hamkins on definable real numbers in analysis
Virgil
6/23/13
Read Re: Joel David Hamkins on definable real numbers in analysis
Virgil
6/24/13
Read Re: Joel David Hamkins on definable real numbers in analysis
Virgil
6/23/13
Read Re: Joel David Hamkins on definable real numbers in analysis
Virgil
6/22/13
Read Re: Joel David Hamkins on definable real numbers in analysis
Virgil
6/23/13
Read Re: Joel David Hamkins on definable real numbers in analysis
mueckenh@rz.fh-augsburg.de
6/23/13
Read Re: Joel David Hamkins on definable real numbers in analysis
Virgil
6/23/13
Read Re: Joel David Hamkins on definable real numbers in analysis
mueckenh@rz.fh-augsburg.de
6/23/13
Read Re: Joel David Hamkins on definable real numbers in analysis
Virgil
6/24/13
Read Re: Joel David Hamkins on definable real numbers in analysis
mueckenh@rz.fh-augsburg.de
6/24/13
Read Re: WM screws up the notion of a limit!
Virgil
6/25/13
Read Re: WM screws up the notion of a limit!
Virgil
6/25/13
Read Re: WM screws up the notion of a limit!
Virgil
6/26/13
Read Re: WM screws up the notion of a limit!
Virgil
6/26/13
Read Re: WM screws up the notion of a limit!
fom
6/26/13
Read Re: WM screws up the notion of a limit!
Virgil
6/22/13
Read Re: Joel David Hamkins on definable real numbers in analysis
Virgil
6/22/13
Read Re: Joel David Hamkins on definable real numbers in analysis
Tucsondrew@me.com
6/22/13
Read Re: Joel David Hamkins on definable real numbers in analysis
mueckenh@rz.fh-augsburg.de
6/22/13
Read Re: Joel David Hamkins on definable real numbers in analysis
Virgil
6/22/13
Read Re: Joel David Hamkins on definable real numbers in analysis
David C. Ullrich
6/22/13
Read Re: Joel David Hamkins on definable real numbers in analysis
mueckenh@rz.fh-augsburg.de
6/22/13
Read Re: Joel David Hamkins on definable real numbers in analysis
Virgil
6/23/13
Read Re: Joel David Hamkins on definable real numbers in analysis
David C. Ullrich
6/23/13
Read Re: Joel David Hamkins on definable real numbers in analysis
mueckenh@rz.fh-augsburg.de
6/23/13
Read Re: Joel David Hamkins on definable real numbers in analysis
Virgil
6/24/13
Read Re: Joel David Hamkins on definable real numbers in analysis
mueckenh@rz.fh-augsburg.de
6/24/13
Read Re: Joel David Hamkins on definable real numbers in analysis
Virgil
6/25/13
Read Re: Joel David Hamkins on definable real numbers in analysis
mueckenh@rz.fh-augsburg.de
6/25/13
Read Re: Joel David Hamkins on definable real numbers in analysis
Virgil
6/24/13
Read Re: Joel David Hamkins on definable real numbers in analysis
David C. Ullrich
6/24/13
Read Re: Joel David Hamkins on definable real numbers in analysis
mueckenh@rz.fh-augsburg.de
6/24/13
Read Re: Joel David Hamkins on definable real numbers in analysis
Virgil
6/25/13
Read Re: Joel David Hamkins on definable real numbers in analysis
David C. Ullrich
6/25/13
Read Re: Joel David Hamkins on definable real numbers in analysis
mueckenh@rz.fh-augsburg.de
6/25/13
Read Re: Joel David Hamkins on definable real numbers in analysis
Virgil
6/26/13
Read Re: Joel David Hamkins on definable real numbers in analysis
mueckenh@rz.fh-augsburg.de
6/26/13
Read Re: Joel David Hamkins on definable real numbers in analysis
Virgil
6/25/13
Read Re: Joel David Hamkins on definable real numbers in analysis
Tucsondrew@me.com
6/26/13
Read Re: Joel David Hamkins on definable real numbers in analysis
mueckenh@rz.fh-augsburg.de
6/26/13
Read Re: Joel David Hamkins on definable real numbers in analysis
Virgil
6/25/13
Read Re: Joel David Hamkins on definable real numbers in analysis
Ralf Bader
6/26/13
Read Re: Joel David Hamkins on definable real numbers in analysis
mueckenh@rz.fh-augsburg.de
6/26/13
Read Re: Joel David Hamkins on definable real numbers in analysis
Virgil
6/26/13
Read Re: Joel David Hamkins on definable real numbers in analysis
David C. Ullrich
6/26/13
Read Re: Joel David Hamkins on definable real numbers in analysis
mueckenh@rz.fh-augsburg.de
6/26/13
Read Re: Joel David Hamkins on definable real numbers in analysis
Virgil
6/27/13
Read Re: Joel David Hamkins on definable real numbers in analysis
mueckenh@rz.fh-augsburg.de
6/27/13
Read Re: Joel David Hamkins on definable real numbers in analysis
Virgil
6/26/13
Read Re: Joel David Hamkins on definable real numbers in analysis
Virgil
6/27/13
Read Re: Joel David Hamkins on definable real numbers in analysis
mueckenh@rz.fh-augsburg.de
6/27/13
Read Re: Joel David Hamkins on definable real numbers in analysis
Virgil
6/28/13
Read Re: Joel David Hamkins on definable real numbers in analysis
mueckenh@rz.fh-augsburg.de
6/28/13
Read Re: Joel David Hamkins on definable real numbers in analysis
Tucsondrew@me.com
6/28/13
Read Re: Joel David Hamkins on definable real numbers in analysis
mueckenh@rz.fh-augsburg.de
6/28/13
Read Re: Joel David Hamkins on definable real numbers in analysis
Tucsondrew@me.com
6/28/13
Read Re: Joel David Hamkins on definable real numbers in analysis
mueckenh@rz.fh-augsburg.de
6/28/13
Read Re: Joel David Hamkins on definable real numbers in analysis
Tucsondrew@me.com
6/29/13
Read Re: Joel David Hamkins on definable real numbers in analysis
mueckenh@rz.fh-augsburg.de
6/29/13
Read Re: Joel David Hamkins on definable real numbers in analysis
Virgil
6/30/13
Read Re: Joel David Hamkins on definable real numbers in analysis
Virgil
6/28/13
Read Re: Joel David Hamkins on definable real numbers in analysis
Virgil
6/29/13
Read Re: Joel David Hamkins on definable real numbers in analysis
mueckenh@rz.fh-augsburg.de
6/29/13
Read Re: Joel David Hamkins on definable real numbers in analysis
Virgil
6/28/13
Read Re: Joel David Hamkins on definable real numbers in analysis
Virgil
6/28/13
Read Re: Joel David Hamkins on definable real numbers in analysis
Virgil
6/19/13
Read Re: Joel David Hamkins on definable real numbers in analysis
Virgil
6/19/13
Read Re: Joel David Hamkins on definable real numbers in analysis
Virgil

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