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From: FromTheRafters <FTR@nomail.afraid.org>
Newsgroups: sci.math
Subject: Re: The set of necessary FISONs
Date: Fri, 31 Jan 2025 08:12:04 -0500
Organization: Peripheral Visions
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WM formulated on Friday :
> On 31.01.2025 11:43, FromTheRafters wrote:
>> WM explained :
>>> On 31.01.2025 11:02, FromTheRafters wrote:
>>>
>>>> Ordinals aren't guaranteed to increase.
>>>
>>> What ordinal has not a greater successor?
>>> Ordinals n are well-ordered. The distance from 0 is n - 0 = n.
>> 
>> Starting with omega, they are all countably infinite until you reach the 
>> uncountably infinite.
>
> ω < ω + 1, < ω + 2 < ... < ω + ω = ω2 < ω2 + 1 < ...

Each of which is countably infinite.