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

On 10/28/2024 2:53 PM, Ross Finlayson wrote:

On 10/28/2024 11:31 AM, Jim Burns wrote:

[...]

>
Of course you would mean
"finite ordinals as
a brief summary model of discernibles the members" of
"the closure of all relations that make things numbers,
all those sets, too, all the related things",
"the" "numbers".

I mean finite ordinals as finite ordinals.
Ordinals are well.ordered:
each set of them holds a first or is empty.
Each ordinal has its successor.
Each finite ordinal has its predecessor or is 0  and
each of its prior ordinals has its predecessor or is 0
Natural numbers, whole numbers, rational numbers,
real numbers, complex numbers, algebraic numbers,
transcendental numbers...
I find the term "number" problematic until
the description of _which_ numbers is given.
And, once given the description,
we reason from the description,
and ignore where "number" is used.
If the term "number" evaporated,
I would not greatly miss it.