Re: 2N=E

On 10/31/2024 2:30 PM, WM wrote:

On 31.10.2024 19:07, Jim Burns wrote:

On 10/31/2024 4:17 AM, WM wrote:

On 31.10.2024 00:49, Jim Burns wrote:

There is no n.sequence between 0 and ω
without a n+n.sequence between 0 and ω.
>
'Infinite' does not mean what you want it to mean.

>
Then infinity means only

>
'Infinite' means 'not finite'.

>
Potentially infinite means
finite but variable without bound.

Our sets do not change.
Changes can be _represented_ by a family of sets,
such as the family {⅟ℕ∩(0,x]:x∈ℝ} of
sets of unit.fractions between x and 0
⅟ℕ∩(0,x] "changes" as x "changes"
but no point referred to by x changes.
No set ⅟ℕ∩(0,x] changes.
{⅟ℕ∩(0,x]:x∈ℝ} does not change.
By using x to indefinitely refer to
one of the points in ℝ,
we find the power to speak correctly of
each one of infinitely.many points in ℝ,
even though we ourselves are finite.
However,
in order for us to use that power,
sets must not change.
We assemble finite sequences of claims
out of only true.or.not.first.false claims.
Those claims must be true even if
they're uncheckable claims about infinitely.many.
But if they're about sets.which.change
that power falls apart.
Therefore,
our sets do not change.

Actually infinite means
a fixed quantity larger than every finite quantity.

A finite set can be in an order such that
each non.empty subset holds its least and greatest
An infinite set is not finite,
and cannot be ordered the way that a finite set can.