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From: joes <noreply@example.org>
Newsgroups: sci.math
Subject: Re: How many different unit fractions are lessorequal than all unit
 fractions? (infinitary)
Date: Mon, 14 Oct 2024 12:17:25 -0000 (UTC)
Organization: i2pn2 (i2pn.org)
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Am Mon, 14 Oct 2024 12:31:58 +0200 schrieb WM:
> On 12.10.2024 22:47, Richard Damon wrote:
>> On 10/12/24 2:19 PM, WM wrote:
>>> On 11.10.2024 03:38, Richard Damon wrote:
>>>
>>>> The SIZE of the set of natural numbers is infinite, and thus obeys
>>>> the laws of infinite numbers. An infinite number, which has a finite
>>>> number, added to, multiplied by, or used as a power, is still that
>>>> same infinite number. It may seem impossible, but that is the nature
>>>> of infinite numbers.
>>> No natural number is infinite. They all obey the law of finite
>>> numbers. That includes the law that 2n > n.
>> Right, but for any number n that is a natural number 2n is also a
>> natural number and in the set.
> But not in the set of numbers to be doubled. Half of the doubled numbers
> are not in that set.
The set N does not have an upper bound on even numbers, or at all.
Every even number 2n has a natural half n, and is itself natural.

-- 
Am Sat, 20 Jul 2024 12:35:31 +0000 schrieb WM in sci.math:
It is not guaranteed that n+1 exists for every n.