Re: Simple enough for every reader?

Am Sat, 14 Jun 2025 16:00:36 +0200 schrieb WM:

On 14.06.2025 12:58, Mikko wrote:

On 2025-06-13 13:45:20 +0000, WM said:

The following result cannot be circumvented: After mankind will have
ceased,

who will care?

People who live now and ponder about dark numbers.

*person

But the mathematically interesting fact is that never all numbers can
become visible because completeness, well-order and infinity are
mutually incompatible.

That's not a mathematical but physical fact, if time has an end. If not,
every number will be "visible" "eventually".

ℕ \ {1, 2, 3, ...} = { } means that all natural numbers can be
subtracted - completely such that none remains. If all were visible with
a known well-order, then a last one would be subtracted. Therefore not
all can have a known well-order.

Or not all can be subtracted. I think that is closer to your intuition.

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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.