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

On 25.10.2024 21:05, Jim Burns wrote:

On 10/25/2024 12:57 PM, WM wrote:

A better question is:
why do you (WM) support it?

>
I support it in order to show that
your infinity is inconsistent.

 My infinity? You mean
γ ∈ ⟦0,ω⦆  ⇔  ∀β ∈ ⦅0,γ⟧: ∃α: α+1=β
?

Mainly, among other points, the claim that all unit fractions can be defined and he claim that a Bob ca disappear in lossless exchanges.

Almost all unit fractions
cannot be discerned by definable real numbers.

 All unit fractions are reciprocals of
positive countable.to.from.0 numbers.

That does not change the facts.

 

If they are existing,
they are indiscernible, i.e. dark.

 If it is existing,
it is a reciprocal of
a positive countable.to.from.0 number.

Most of them are indiscernible too.

 I haven't found a reason to discern.

Don't you claim that every unit fraction can be discerned, i.e. separated from the smaller ones by a real number?
Regards, WM