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From: "Chris M. Thomasson" <chris.m.thomasson.1@gmail.com>
Newsgroups: sci.math
Subject: Re: How many different unit fractions are lessorequal than all unit
 fractions?
Date: Sun, 22 Sep 2024 16:28:27 -0700
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On 9/22/2024 12:04 PM, Chris M. Thomasson wrote:
> On 9/22/2024 8:36 AM, WM wrote:
>> On 22.09.2024 16:18, joes wrote:
>>> Am Sun, 22 Sep 2024 15:27:01 +0200 schrieb WM:
>>
>>>>> So, we can just choose the finite initial segment that includes that
>>>>> number, and thus can use it,
>>>> But you cannot choose the infinite rest.
>>> Of course you can.
>>>
>> No, I cannot. But if you can, please show it. Choose a number having 
>> more predecessors than successors.
> 
> Lets say two wrt natural numbers wrt 0 included:
> 
> 0->1->2->...
> 
> It has two predecessors (0 and 1), negative aside for a moment.
> 
> However, it has infinite successors:
> 
> 0->1->2->3->4->5->6->...
> 
> Fair enough?

Wrt signed integers, each number has infinite predecessors and infinite 
successors.