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

Am Mon, 14 Oct 2024 12:31:58 +0200 schrieb WM:

On 12.10.2024 22:47, Richard Damon wrote:

On 10/12/24 2:19 PM, WM wrote:

On 11.10.2024 03:38, Richard Damon wrote:
>

The SIZE of the set of natural numbers is infinite, and thus obeys
the laws of infinite numbers. An infinite number, which has a finite
number, added to, multiplied by, or used as a power, is still that
same infinite number. It may seem impossible, but that is the nature
of infinite numbers.

No natural number is infinite. They all obey the law of finite
numbers. That includes the law that 2n > n.

Right, but for any number n that is a natural number 2n is also a
natural number and in the set.

But not in the set of numbers to be doubled. Half of the doubled numbers
are not in that set.

The set N does not have an upper bound on even numbers, or at all.
Every even number 2n has a natural half n, and is itself natural.

--
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.