Re: how

On 5/29/2024 1:11 PM, WM wrote:

Le 28/05/2024 à 21:42, Jim Burns a écrit :

On 5/27/2024 4:10 PM, WM wrote:

If a set of real numbers has no elements below 0,
then it ends

>
Support your claim.

>
The set has ended where no elements follow.

Consider a set B of real numbers such that
real number x exists such that
x ≤ each element of B
Are you (WM) claiming that
⎛ B.element b′ exists such that
⎝ b′ ≤ each element of B
?
If, yes, that is your claim,
then please support that claim.
⎛ By "end of B" I mean B.element b′
⎜ By "B is two.ended", I mean that
⎜⎛ B.elements b′ and b″ exist such that
⎝⎝ b′ ≤ each element of B ≤ b″
If B is _finite_
then B can be totally.ordered such that
each nonempty.subset of B is two.ended.
If B is not finite,
then not.

Feeling reallyreallyreally sure

>
The set is not where no elements are.
If the set was before,
then it has ended meanwhile.

Are you claiming that
the set holds an element ≤ each element?
If, yes, you claim that,
then please support that claim.

isn't logic.
Finite sequences of not.first.false claims
are logic.

>
If your logic denies this,
then your first claim is wrong already.

Please support your claim.

By the way: Transfinity has been published as a book. https://www.elivapress.com/en/book/book-9877032691/
>
My next book is under preparation.
It will appear next year:
Evidence for dark numbers.

Are you planning to support your claims
in your next book?