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

On 10/20/2024 4:06 PM, joes wrote:

Am Sat, 19 Oct 2024 13:10:20 +0200 schrieb WM:

On 19.10.2024 12:56, Jim Burns wrote:

 

What is immediately before ω

No number exists immediately before ω

Immediately or not: The number before ω is finite.

There is no single number before w. Exactly all naturals are smaller
than it.

The exploded "limit", N represents all the naturals. N also includes the largest natural you can think of to the power of 42 * 69. Easy, they were already there to being with. A real says, well, I am real, but I can represent 1. The naturals say I can represent one as well... ;^D
lol.

 

ω-1 can't be infinite and must be infinite.

ω-1 is a natural number, but the dark numbers occupying almost all space
between 0 and ω act like an infinity. We cannot look or count through
them although all are finite, alas too large.

Almost like w itself!