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

Am Fri, 01 Nov 2024 18:33:34 +0100 schrieb WM:

On 01.11.2024 16:04, Jim Burns wrote:
 

Here, you say: the smallest exists.
That does not pop the smallest into existence.

I say: All exist. That implies the smallest.

If one exists. That does not mean that anything is "missing",
just that no element has the property "smallest".
I can't conjure a middle element of an even number of things,
even though all are there.

It contracts our discourse to lines which have a smallest.

Yes. The other alternative would consist of variable sets.

Or infinite ones.

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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.