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

On 19.10.2024 12:56, Jim Burns wrote:

A number immediately before an infinite ordinal
is an infinite ordinal.

That is the traditional opinion. It has lead to internal contradictions (vanishing Bob). Therefore we have to use a new system, free of contradictions: Dark numbers.

What is immediately before ω

No number exists immediately before ω

Immediately or not: The number before ω is finite.

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.
Regards, WM