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

On 10/8/2024 11:01 AM, Richard Damon wrote:

On 10/8/24 11:34 AM, WM wrote:

On 08.10.2024 15:36, Richard Damon wrote:

On 10/8/24 6:03 AM, WM wrote:

On 08.10.2024 09:30, Moebius wrote:

Am 08.10.2024 um 09:29 schrieb Moebius:

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Properly understood, the idea of a completed infinity is no longer a problem in mathematics or philosophy. It is perfectly intelligible and coherent.

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Yes, but it is completed and therefore fixed. The number of nines in 0.999... does not change when shifted by one step.
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But it must be infinite, and thus not have an "end"

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But it must be complete and therefore in linear order must have an end.
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Regards, WM
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 And then it isn't infinte.
 Seems you don't understand the problem with "completed infinity" that being infinite, it can't be actually fully understood by the finite.

Think of a scenario where we are inside of a black hole that resides in our parent universe. This black hole has a parent, and has children, us as in our universe. This would mean that its a cosmic family tree, like a fractal. This also means that certain black holes in our own universe have children.
However, a resolution to the chicken and egg problem in this thought process would be to say that this cosmic tree was simply _always_ there, was never created and will never die... Ahh the infinite... ;^)

 Having linear order does not imply having an end, unless you can assume a finiteness.