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Topic: RE: Matheology 400: Quantifier Confusion
Replies: 188   Last Post: Dec 13, 2013 5:48 AM

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 fom Posts: 1,968 Registered: 12/4/12
Re: Matheology 400: Quantifier Confusion
Posted: Dec 7, 2013 10:55 AM

On 12/7/2013 6:33 AM, WM wrote:
> Am Samstag, 7. Dezember 2013 03:21:49 UTC+1 schrieb fom:
>> On 12/6/2013 3:11 PM, WM wrote:
>>

>>> Am Freitag, 6. Dezember 2013 20:11:32 UTC+1 schrieb Michael F. Stemper:
>>
>>>
>>
>>>>
>>
>>>> (For starters, did
>>
>>>>
>>
>>>> Cantor include the assumption that the list had all reals?)
>>
>>>
>>
>>> No. He said: Ist E1, E2, ..., E?, ... irgendeine einfach unendliche Reihe von Elementen der Mannigfaltigkeit M
>>
>>> Let ... be any infinite sequence of elements ...
>>
>>>
>>
>>
>>
>> You are correct with regard to the 1874 paper.

>
> The above quote is from the 1891-paper. But the other one is nearly identical:
> Wenn eine nach irgendeinem Gesetze gegebene unendliche Reihe voneinander verschiedener reeller Zahlgrößen

>>
>> Ewald has his earlier statements to Dedekind
>>
>> of 1873 phrased differently.
>>
>>

> There Cantor asked Dedekind whether a complete sequence of reals could be possible.
>
> On 7 Dec. 1873, exactly 140 years ago, Cantor wrote to Dedekind:
> Man nehme an, es könnten alle positiven Zahlen ? < 1 in die Reihe gebracht werden :
>
> Here he said: assume that all positive reals < 1 could be in a sequence.
>
> Regards, WM
>

too quickly.

Thank you for the correction.

But, it is relevant that he does not speak
of "by a rule" here. He is speaking of "all"
with respect to an open interval.

The extension to "all reals" would depend on
bijections to which you object for other
reasons.

Date Subject Author
12/4/13 Tucsondrew@me.com
12/4/13 wolfgang.mueckenheim@hs-augsburg.de
12/4/13 fom
12/4/13 wolfgang.mueckenheim@hs-augsburg.de
12/4/13 fom
12/4/13 Tucsondrew@me.com
12/5/13 wolfgang.mueckenheim@hs-augsburg.de
12/5/13 Tucsondrew@me.com
12/5/13 Virgil
12/5/13 Tucsondrew@me.com
12/6/13 wolfgang.mueckenheim@hs-augsburg.de
12/6/13 Tucsondrew@me.com
12/6/13 wolfgang.mueckenheim@hs-augsburg.de
12/6/13 Virgil
12/6/13 Tucsondrew@me.com
12/7/13 wolfgang.mueckenheim@hs-augsburg.de
12/7/13 Virgil
12/8/13 wolfgang.mueckenheim@hs-augsburg.de
12/8/13 Virgil
12/6/13 wolfgang.mueckenheim@hs-augsburg.de
12/6/13 Virgil
12/7/13 wolfgang.mueckenheim@hs-augsburg.de
12/7/13 Virgil
12/6/13 Tucsondrew@me.com
12/7/13 wolfgang.mueckenheim@hs-augsburg.de
12/7/13 Virgil
12/7/13 Virgil
12/8/13 wolfgang.mueckenheim@hs-augsburg.de
12/8/13 Virgil
12/6/13 fom
12/6/13 Virgil
12/7/13 wolfgang.mueckenheim@hs-augsburg.de
12/7/13 Virgil
12/4/13 Virgil
12/4/13 Tucsondrew@me.com
12/5/13 wolfgang.mueckenheim@hs-augsburg.de
12/5/13 Virgil
12/5/13 wolfgang.mueckenheim@hs-augsburg.de
12/5/13 fom
12/5/13 wolfgang.mueckenheim@hs-augsburg.de
12/5/13 fom
12/5/13 Tucsondrew@me.com
12/5/13 wolfgang.mueckenheim@hs-augsburg.de
12/5/13 Tucsondrew@me.com
12/5/13 Virgil
12/5/13 Virgil
12/5/13 Tucsondrew@me.com
12/5/13 fom
12/5/13 Tucsondrew@me.com
12/5/13 fom
12/5/13 Michael F. Stemper
12/5/13 fom
12/5/13 Tucsondrew@me.com
12/5/13 fom
12/6/13 wolfgang.mueckenheim@hs-augsburg.de
12/6/13 Tucsondrew@me.com
12/6/13 wolfgang.mueckenheim@hs-augsburg.de
12/6/13 Virgil
12/6/13 Virgil
12/6/13 Michael F. Stemper
12/6/13 wolfgang.mueckenheim@hs-augsburg.de
12/6/13 Virgil
12/7/13 albrecht
12/7/13 fom
12/7/13 albrecht
12/6/13 fom
12/7/13 wolfgang.mueckenheim@hs-augsburg.de
12/7/13 fom
12/7/13 Virgil
12/7/13 fom
12/8/13 Virgil
12/8/13 fom
12/6/13 fom
12/6/13 Virgil
12/6/13 fom
12/7/13 ross.finlayson@gmail.com
12/5/13 Tucsondrew@me.com
12/5/13 Tucsondrew@me.com
12/5/13 wolfgang.mueckenheim@hs-augsburg.de
12/5/13 Tucsondrew@me.com
12/5/13 Virgil
12/6/13 wolfgang.mueckenheim@hs-augsburg.de
12/6/13 Virgil
12/6/13 albrecht
12/6/13 wolfgang.mueckenheim@hs-augsburg.de
12/6/13 albrecht
12/6/13 Virgil
12/6/13 Tucsondrew@me.com
12/6/13 albrecht
12/6/13 albrecht
12/6/13 fom
12/6/13 Virgil
12/7/13 albrecht
12/8/13 albrecht
12/5/13 Virgil
12/5/13 wolfgang.mueckenheim@hs-augsburg.de
12/5/13 Virgil
12/5/13 wolfgang.mueckenheim@hs-augsburg.de
12/5/13 Virgil
12/5/13 Tucsondrew@me.com
12/4/13 Virgil
12/5/13 wolfgang.mueckenheim@hs-augsburg.de
12/5/13 Tucsondrew@me.com
12/5/13 wolfgang.mueckenheim@hs-augsburg.de
12/5/13 Virgil
12/6/13 wolfgang.mueckenheim@hs-augsburg.de
12/6/13 Virgil
12/5/13 Virgil
12/5/13 ross.finlayson@gmail.com
12/9/13 William Hughes
12/9/13 wolfgang.mueckenheim@hs-augsburg.de
12/9/13 William Hughes
12/9/13 wolfgang.mueckenheim@hs-augsburg.de
12/9/13 Tucsondrew@me.com
12/10/13 wolfgang.mueckenheim@hs-augsburg.de
12/10/13 Tucsondrew@me.com
12/10/13 wolfgang.mueckenheim@hs-augsburg.de
12/10/13 Virgil
12/10/13 Tucsondrew@me.com
12/10/13 Virgil
12/9/13 William Hughes
12/10/13 wolfgang.mueckenheim@hs-augsburg.de
12/10/13 William Hughes
12/10/13 wolfgang.mueckenheim@hs-augsburg.de
12/10/13 William Hughes
12/10/13 wolfgang.mueckenheim@hs-augsburg.de
12/10/13 William Hughes
12/10/13 Virgil
12/11/13 wolfgang.mueckenheim@hs-augsburg.de
12/11/13 Virgil
12/11/13 Tucsondrew@me.com
12/11/13 fom
12/11/13 Tucsondrew@me.com
12/11/13 William Hughes
12/11/13 wolfgang.mueckenheim@hs-augsburg.de
12/11/13 William Hughes
12/11/13 wolfgang.mueckenheim@hs-augsburg.de
12/11/13 William Hughes
12/11/13 Virgil
12/11/13 Virgil
12/11/13 fom
12/11/13 Virgil
12/13/13 albrecht
12/10/13 Virgil
12/10/13 wolfgang.mueckenheim@hs-augsburg.de
12/10/13 Virgil
12/10/13 Tucsondrew@me.com
12/11/13 wolfgang.mueckenheim@hs-augsburg.de
12/11/13 Virgil
12/11/13 Tucsondrew@me.com
12/11/13 wolfgang.mueckenheim@hs-augsburg.de
12/11/13 Tucsondrew@me.com
12/11/13 wolfgang.mueckenheim@hs-augsburg.de
12/11/13 Tucsondrew@me.com
12/12/13 wolfgang.mueckenheim@hs-augsburg.de
12/12/13 Tucsondrew@me.com
12/12/13 Virgil
12/12/13 Virgil
12/12/13 Virgil
12/12/13 Virgil
12/12/13 Virgil
12/11/13 fom
12/11/13 Virgil
12/12/13 wolfgang.mueckenheim@hs-augsburg.de
12/12/13 Virgil
12/11/13 Virgil
12/11/13 Virgil
12/10/13 Virgil
12/11/13 William Hughes
12/11/13 Virgil
12/11/13 William Hughes
12/11/13 Virgil
12/11/13 William Hughes
12/11/13 fom
12/11/13 Virgil
12/10/13 Virgil
12/9/13 Virgil
12/9/13 Tucsondrew@me.com
12/9/13 William Hughes
12/9/13 Tucsondrew@me.com
12/9/13 Virgil
12/9/13 William Hughes
12/9/13 Virgil
12/9/13 Tucsondrew@me.com
12/10/13 William Hughes