Re: 2N=E

On 22.10.2024 19:24, Jim Burns wrote:

On 10/22/2024 10:11 AM, WM wrote:

The numbers ARE fixed,
there are just inf. many of them.

>
All of them are multiplied by 2.
>

The larger numbers have already all been "created".

>
Not before multiplying them.

 "Creation" of these numbers
is confusingly imagined to be
creation of these numbers.

These numbers did not belong to the set when it was multiplied.

 These numbers are described by axioms.

By axiom also all numbers of the set are present and available to be multiplied.

 Claims (axioms) are made which are true of
each of these numbers,

which can be multiplied.

No number starts or stops
being described by those axioms.

The set is complete when its numbers are multiplied.

In that sense,
no number starts or stops
existing.
No number enters or exits
the domain of discourse those axioms describe.

All numbers which are described are in the set when being multiplied.

 In this discussion,
the numbers being.described.by.those.axioms
== the numbers existing
include, for each such number, double that number.

Of course. But all these are multiplied.

 The numbers and their doubles
always were/will.be being.described.by.those.axioms
always were/will.be existing.

They are existing when multiplied.

 We cannot perform supertasks like
counting infinitely.many.

But we can use all existing numbers, for instance for mappings.
Regards, WM