That still does not constrict a location to only a point.
Yes it does. Only a point has the minimal needed term (exactly one location), which defines its exact position.
A line segment is non-local exactly because more than one location is used in order to define it.
X="local"
Furthermore, not-X is not necessarily the negation of X, not-X is "anything but X" where some of the possible cases is "the negation of X".
Your limited understanding of negation, is one of the reasons the you don't get an expression like "non-local".
“among smaller (localities”? You just said “A point is the minimal expression of locality”. What “smaller (localities” do you have now?
It is not about points, but about smaller dimensions > 0 and bigger dimensions > 0, for example : 1-dim is local w.r.t 2-dim and 2-dim is non-local w.r.t 1-dim (and also w.r.t 0-dim).
0-dim is the smallest dim and it is local w.r.t to any other dim.
The Man said:
The lack of any dimension isn’t “The smallest dimension”
In other words, you do not distinguish between 0-dim and
nothing.
This distinction is clearly seen in what I wrote here:
doronshadmi said:
The smallest dimension (notated by 0) is the immediate (and under non-locality\locality co-existence) successor of Nothing
The Man said:
Have you got that definition of your “successor” without ordering yet?
Things that exist at the same level existence (for example distinct points) are not necessarily ordered by some common rule.
This is not the case between different levels of existence, which are necessarily ordered between two extremes, which are
nothing (anything but a thing) and
fullness (total thing).
The Man said:
Please define your “predecessors” without ordering while you’re at it.
Just to give you a hint: “x (such that 0 < x ≤ ∞” is an expression of ordering.
As I said. In term of existence, things of the same level of existence are not necessarily ordered, and this is not the case about " < 0 <
x ≤ ∞ <
∞"
The Man said:
“non-existence” “does not have notation”? How unfortunate for you that you just noted it, as usual simply proving yourself wrong.
Try to get " < 0 <
x ≤ ∞ <
∞"
The Man said:
So are you claiming there is “Nothing” “beyond” your “Fullness”?
No, there is
Unity beyond " < 0 <
x ≤ ∞ <
∞"
The Man said:
Are you claiming there is “Nothing” “beyond” your “Unity”?
No, there is
Unity beyond " < 0 <
x ≤ ∞ <
∞"
The Man said:
“Unity, where no degrees of any kind are expressible”? So there is no degree of “Unity” in your, well, “Unity”?
You still do not comprehend
Unity beyond " < 0 <
x ≤ ∞ <
∞" expression.
The Man said:
Here you claim your “co-exiting things” to be your “agents of Unity that enable Complexity”. So does your “Unity” succeed or proceed your “Complexity” (perhaps both, and your “OM” ‘reasoning’ is just circular)?
Unity is beyond complexity, where the complexity is expressed by at least two opposites, or any other form of interaction among distinct concepts (abstract or not).