Re: Incompleteness of Cantor's enumeration of the rational numbers (extra-ordinary)

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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