Re: 2N=E

Am Tue, 22 Oct 2024 20:24:08 +0200 schrieb WM:

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.

They should, otherwise the set was finite.

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.

That includes the so-called "doubles", i.e. the even numbers.

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.

Those doubles of doubles are in the original set as well.

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

They are existing when multiplied.

As are the doubles. N is not limited.

We cannot perform supertasks like counting infinitely.many.

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

Then we get no new numbers.

--
Am Sat, 20 Jul 2024 12:35:31 +0000 schrieb WM in sci.math:
It is not guaranteed that n+1 exists for every n.