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From: Moebius <invalid@example.invalid>
Newsgroups: sci.math
Subject: Re: Incompleteness of Cantor's enumeration of the rational numbers
 (extra-ordinary)
Date: Sat, 4 Jan 2025 23:30:56 +0100
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Am 04.01.2025 um 21:38 schrieb Chris M. Thomasson:
> On 1/4/2025 12:48 AM, WM wrote:

>> An interval of natural numbers without any prime number is called a 
>> prime gap. The sequence of prime gaps assumes arbitrarily large 
>> intervals but it cannot become actually infinite.

Yeah, it cannot "become" actually infinite because it already _is_ 
infinite, Du dummer Spinner!

>> None of the numbers n! + 2, n! + 3, n! + 4, ..., n! + n can be prime because n! = 
>> 123... n contains 2, 3, ..., n as factors already. Therefore the 
>> set of gaps has no upper bound.

DAS stimmt sogar.

>> It is potentially infinite. It is not actually infinite however, because <bla bla bla>

Fasel doch nicht so eine Scheiße daher. Es gibt keine "potentially 
infinite" sets, Du Spinner!

Eine Menge ist ENTWEDER endlich, ODER unendlich (=nicht endlich).

Eine andere Möglichkeit gibt es nicht.

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