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Path: ...!eternal-september.org!feeder3.eternal-september.org!news.eternal-september.org!.POSTED!not-for-mail
From: Tom Bola <Tom@bolamail.etc>
Newsgroups: sci.math
Subject: Re: how
Date: Tue, 16 Apr 2024 01:44:46 +0200
Organization: A noiseless patient Spider
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Chris M. Thomasson schrieb:

> On 4/15/2024 1:13 PM, Tom Bola wrote:
>> Chris M. Thomasson drivels:
>> 
>>> On 4/15/2024 6:00 AM, Tom Bola wrote:
>>>> WM drivels:
>>>>
>>>>> Le 14/04/2024 à 22:17, Tom Bola a écrit :
>>>>>> WM schrieb:
>>>>>>
>>>>>>> Le 13/04/2024 à 21:16, Jim Burns a écrit :
>>>>>>>> On 4/13/2024 8:35 AM, WM wrote:
>>>>>>>
>>>>>>>>> What elements of {1, 2, 3, ..., ω}*2
>>>>>>>>> fall between ω and ω*2?
>>>>>>>>> Their distances must be 2.
>>>>>>>>
>>>>>>>> Why 2 ?
>>>>>>>
>>>>>>> Doubling of ordinals
>>>>>>
>>>>>> The smallest ordinals behind all n in IN possible
>>>>>> would be the w's in something like
>>>>>>
>>>>>> {0, 1, 2, 3, ..., w, w+1, w+2, w+3, ... w+w}
>>>>>>
>>>>>> which, under f(n)=n*2, has the image
>>>>>>
>>>>>> {0, 2, 4, 6, ..., w*2, w*2+2, w*2+4, w*2+4, ... w*2+w*2}
>>>>>
>>>>> Right! But ω remains like 6 remains.
>>>>
>>>> No - w in the domain is related by the function to w*2,
>>>> same as every other element in the domain:
>>>>
>>>> 0, 1, 2, 3, ...,   w,   w+1,   w+2,   w+3, ...     w+w
>>>> |  |  |  |  |||    |     |      |      |            |
>>>> 0, 2, 4, 6, ..., w*2, w*2+2, w*2+4, w*2+6, ... w*2+w*2
>>>>
>>>> Anyhow - your "doubling" idea is childish and idiotic bullshit, as always.
>>>
>>> Ditto!
>> 
>> ROFL - I haven't got any "doubling" idea for a list of the IN u {w}.
> 
> Where was I disagreeing with you?

Sorry then, excuse my English, please...