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| From | "Shobe, Martin" <martin.shobe@yahoo.com> |
|---|---|
| Newsgroups | sci.math |
| Subject | Re: The structure of |N |
| Date | 2018-10-04 19:00 -0500 |
| Organization | A noiseless patient Spider |
| Message-ID | <pp69in$4g5$1@dont-email.me> (permalink) |
| References | <f89b2ac4-3e80-42c4-95f2-ccd09b55c71f@googlegroups.com> <pp10rn$cck$1@dont-email.me> <f7d34407-6490-4eff-8e00-9f89a85ba41c@googlegroups.com> <pp3su1$kts$1@dont-email.me> <301083b6-4a55-4a39-a4c5-c03c2df12d44@googlegroups.com> |
On 10/4/2018 8:52 AM, transfinity01@gmail.com wrote:
> Am Donnerstag, 4. Oktober 2018 04:12:22 UTC+2 schrieb Shobe, Martin:
>> On 10/3/2018 5:09 AM, transfinity01@gmail.com wrote:
>>> Am Mittwoch, 3. Oktober 2018 02:01:01 UTC+2 schrieb Shobe, Martin:
>>>> On 10/2/2018 5:07 AM, transfinity01@gmail.com wrote:
>>>>> Every natural number that is followed by natural numbers belongs to a finite initial segment of |N.
>>>>
>>>> Yes.
>>>>
>>>>> Since all natural numbers n_d that can be defined and identified in mathematical discourse are followed by aleph_0 natural numbers, the set N_d of all those n_d is finite, not fixed though.
>>>>
>>>> No.
>>>
>>> Please find a natural number that requires N_d to be not finite.
>>
>> You would think that a single element could be sufficient to make
>> something infinite.
>
> I know that the set |N \ {1, 2, 3, ..., n} is said to be infinite for every n in |N.
Good. For once you are correct. (As are those who say it.)
> That shows that even sets without elements can be infinite.
Back to the usual being wrong. The empty set (the only set without
elements) is not infinite.
Martin Shobe
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The structure of |N transfinity01@gmail.com - 2018-10-02 03:07 -0700
Re: The structure of |N Zelos Malum <zelos.malum@gmail.com> - 2018-10-02 03:39 -0700
Re: The structure of |N transfinity01@gmail.com - 2018-10-02 03:42 -0700
Re: The structure of |N Zelos Malum <zelos.malum@gmail.com> - 2018-10-02 05:34 -0700
Re: The structure of |N transfinity01@gmail.com - 2018-10-02 11:34 -0700
Re: The structure of |N me <dvhaus.dresden@gmail.com> - 2018-10-02 11:45 -0700
Re: The structure of |N transfinity01@gmail.com - 2018-10-03 03:07 -0700
Re: The structure of |N Zelos Malum <zelos.malum@gmail.com> - 2018-10-03 22:40 -0700
Re: The structure of |N transfinity01@gmail.com - 2018-10-03 03:17 -0700
Re: The structure of |N me <dvhaus.dresden@gmail.com> - 2018-10-03 04:13 -0700
Re: The structure of |N transfinity01@gmail.com - 2018-10-03 09:11 -0700
Re: The structure of |N Zelos Malum <zelos.malum@gmail.com> - 2018-10-04 02:43 -0700
Re: The structure of |N Zelos Malum <zelos.malum@gmail.com> - 2018-10-03 22:42 -0700
Re: The structure of |N transfinity01@gmail.com - 2018-10-04 06:49 -0700
Re: The structure of |N Python <python@python.invalid> - 2018-10-04 21:37 +0200
Re: The structure of |N Python <python@python.invalid> - 2018-10-04 21:33 +0200
Re: The structure of |N Zelos Malum <zelos.malum@gmail.com> - 2018-10-03 22:38 -0700
Re: The structure of |N me <dvhaus.dresden@gmail.com> - 2018-10-02 11:57 -0700
Re: The structure of |N Zelos Malum <zelos.malum@gmail.com> - 2018-10-03 22:39 -0700
Re: The structure of |N Dan Christensen <Dan_Christensen@sympatico.ca> - 2018-10-02 13:18 -0700
Re: The structure of |N transfinity01@gmail.com - 2018-10-03 03:08 -0700
Re: The structure of |N Dan Christensen <Dan_Christensen@sympatico.ca> - 2018-10-03 19:34 -0700
Re: The structure of |N transfinity01@gmail.com - 2018-10-04 06:45 -0700
Re: The structure of |N Dan Christensen <Dan_Christensen@sympatico.ca> - 2018-10-04 13:29 -0700
Re: The structure of |N transfinity01@gmail.com - 2018-10-05 03:05 -0700
Re: The structure of |N Zelos Malum <zelos.malum@gmail.com> - 2018-10-05 04:19 -0700
Re: The structure of |N me <dvhaus.dresden@gmail.com> - 2018-10-05 04:32 -0700
Re: The structure of |N bursejan@gmail.com - 2018-10-05 04:22 -0700
Re: The structure of |N bursejan@gmail.com - 2018-10-05 04:29 -0700
Re: The structure of |N me <dvhaus.dresden@gmail.com> - 2018-10-05 04:36 -0700
Re: The structure of |N transfinity01@gmail.com - 2018-10-05 13:15 -0700
Re: The structure of |N bursejan@gmail.com - 2018-10-05 13:47 -0700
Re: The structure of |N bursejan@gmail.com - 2018-10-05 13:49 -0700
Re: The structure of |N transfinity01@gmail.com - 2018-10-05 23:37 -0700
Re: The structure of |N bursejan@gmail.com - 2018-10-06 03:35 -0700
Re: The structure of |N transfinity01@gmail.com - 2018-10-06 08:17 -0700
Re: The structure of |N me <dvhaus.dresden@gmail.com> - 2018-10-06 09:07 -0700
Re: The structure of |N WM <wolfgang.mueckenheim@hs-augsburg.de> - 2018-10-07 08:15 -0700
Re: The structure of |N Dan Christensen <Dan_Christensen@sympatico.ca> - 2018-10-05 06:30 -0700
Re: The structure of |N transfinity01@gmail.com - 2018-10-05 13:13 -0700
Re: The structure of |N Dan Christensen <Dan_Christensen@sympatico.ca> - 2018-10-05 18:53 -0700
Re: The structure of |N Zelos Malum <zelos.malum@gmail.com> - 2018-10-07 23:01 -0700
Re: The structure of |N WM <wolfgang.mueckenheim@hs-augsburg.de> - 2018-10-08 09:14 -0700
Re: The structure of |N Zelos Malum <zelos.malum@gmail.com> - 2018-10-08 22:32 -0700
Re: The structure of |N WM <wolfgang.mueckenheim@hs-augsburg.de> - 2018-10-09 01:38 -0700
Re: The structure of |N Zelos Malum <zelos.malum@gmail.com> - 2018-10-09 05:20 -0700
Re: The structure of |N transfinity01@gmail.com - 2018-10-09 09:20 -0700
Re: The structure of |N bursejan@gmail.com - 2018-10-09 09:31 -0700
Re: The structure of |N transfinity01@gmail.com - 2018-10-10 03:51 -0700
Re: The structure of |N Alan Smaill <smaill@SPAMinf.ed.ac.uk> - 2018-10-09 17:37 +0100
Re: The structure of |N transfinity01@gmail.com - 2018-10-10 03:51 -0700
Re: The structure of |N Zelos Malum <zelos.malum@gmail.com> - 2018-10-10 22:27 -0700
Re: The structure of |N transfinity01@gmail.com - 2018-10-10 23:16 -0700
Re: The structure of |N Zelos Malum <zelos.malum@gmail.com> - 2018-10-10 23:18 -0700
Re: The structure of |N transfinity01@gmail.com - 2018-10-11 02:20 -0700
Re: The structure of |N Zelos Malum <zelos.malum@gmail.com> - 2018-10-11 02:57 -0700
Re: The structure of |N transfinity01@gmail.com - 2018-10-12 03:49 -0700
Re: The structure of |N Alan Smaill <smaill@SPAMinf.ed.ac.uk> - 2018-10-12 14:04 +0100
Re: The structure of |N transfinity01@gmail.com - 2018-10-13 09:11 -0700
Re: The structure of |N Alan Smaill <smaill@SPAMinf.ed.ac.uk> - 2018-10-13 20:03 +0100
Re: The structure of |N transfinity01@gmail.com - 2018-10-14 02:50 -0700
Re: The structure of |N Alan Smaill <smaill@SPAMinf.ed.ac.uk> - 2018-10-13 20:09 +0100
Re: The structure of |N Zelos Malum <zelos.malum@gmail.com> - 2018-10-14 22:49 -0700
Re: The structure of |N transfinity01@gmail.com - 2018-10-15 02:37 -0700
Re: The structure of |N bursejan@gmail.com - 2018-10-20 01:59 -0700
Re: The structure of |N Zelos Malum <zelos.malum@gmail.com> - 2018-10-21 22:56 -0700
Re: The structure of |N Zelos Malum <zelos.malum@gmail.com> - 2018-10-10 22:21 -0700
Re: The structure of |N transfinity01@gmail.com - 2018-10-10 23:16 -0700
Re: The structure of |N Zelos Malum <zelos.malum@gmail.com> - 2018-10-04 22:31 -0700
Re: The structure of |N Zelos Malum <zelos.malum@gmail.com> - 2018-10-03 22:41 -0700
Re: The structure of |N transfinity01@gmail.com - 2018-10-04 06:49 -0700
Re: The structure of |N "Shobe, Martin" <martin.shobe@yahoo.com> - 2018-10-02 19:00 -0500
Re: The structure of |N transfinity01@gmail.com - 2018-10-03 03:09 -0700
Re: The structure of |N "Shobe, Martin" <martin.shobe@yahoo.com> - 2018-10-03 21:12 -0500
Re: The structure of |N transfinity01@gmail.com - 2018-10-04 06:52 -0700
Re: The structure of |N bursejan@gmail.com - 2018-10-04 07:58 -0700
Re: The structure of |N bursejan@gmail.com - 2018-10-04 14:13 -0700
Re: The structure of |N bursejan@gmail.com - 2018-10-04 14:24 -0700
Re: The structure of |N "Shobe, Martin" <martin.shobe@yahoo.com> - 2018-10-04 19:00 -0500
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