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

Am Tue, 08 Oct 2024 12:46:01 +0200 schrieb WM:

On 07.10.2024 17:10, joes wrote:

Am Mon, 07 Oct 2024 10:47:25 +0200 schrieb WM:

 

The set varies but infinitely many elements remain the same. A
shrinking infinite set which remains infinite has an infinite core.

Here is your essential misunderstanding: there is no mysterious
Something that makes a set infinite. It is infinite because it is not
finite, has no natural number as its size.

Why has it no such number?

Because naturals are not infinite.

Because infinitely many natural numbers are
contained. This is true for all infinite sets of the function. Therefore
they cannot have lost all numbers.

What does „they” refer to in the last sentence? There is no natural number
which has no successors.

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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.