Re: How many different unit fractions are lessorequal than all unit fractions? (infinitary)

On 19.10.2024 14:06, Moebius wrote:

Am 19.10.2024 um 13:21 schrieb joes:

Am Sat, 19 Oct 2024 11:24:54 +0200 schrieb WM:

On 18.10.2024 03:26, Richard Damon wrote:

 

It is proven that the set of Natural Numbers [is] closed under
multiplication.

 

That is not the set but the potentially infinite collection of Peano numbers.

 we are talking about THE SET OF NATURAL NUMBERS, IN, and its elements -called NATURAL NUMBERS- here.
 This set is infinite.

If we process all natural numbers and get more than we have processed, then this is not a set but a collection, because sets do not change.

 Hint: Damit dieses "Reden" sinnvoll ist, bedarf es natürlich eines entsprechenden mengentheoretischen Kontexts (->SET THEORY). (Das mag viell. nicht jedem Gesprächsteilnehmer hier klar sein, ist aber so.)
 

[...] The set of natural numbers is infinite

 Indeed.

and does not change --- neither shrink nor grow.
Regards, WM