So, the logical operator, NOT, means "any value at all independent of".
Thus, P and NOT P can both be true. How useless.
It is very useful, since only NOT is an isolation of things form each other such that there is no connection between them, for example:
X is a place holder for an element and we have only NOT framework:
... X NOT X NOT X NOT X NOT ...
In the only NOT system any X is totally isolated and there is no framework.
In an only YES system we also do not have a framework, as follows:
X is a place holder for an element and we have only YES framework:
... X YES X YES X YES X YES ...
In the only YES system any X is totally connected and there is no framework.
So the minimal useful framework is X that is comparable by connection, such that X is not total isolation and the connector is not total connection.
All along this thread I am talking about a researchable framework, which is weaker than total connectivity (only YES state) and stronger than total isolation (only NOT state).
Also classical Logic is based on YES\NOT linkage, but classical logicians are focused only on the weak NOT side of YES\NOT linkage, without ask themselves how it is possible to compare X with NOT-X, in the first place.
OM asks this question, and the answer is the weak YES side of YES\NOT linkage, which enables the comparison of X with NOT-X, in order to conclude that X in not NOT-X.
The logic of YES under YES\NOT linkage is a weak version of only-Sameness (total connectivity).
The logic of NOT under YES\NOT linkage is a weak version of only-Difference (total isolation).
No total state is a researchable framework, but in Classical Logic the logicians are using NOT without the understanding that they are actually using the weak version of NOT, which is weak exactly because it is under YES\NO linkage logical framework.
So once again:
Total NOT is resulted at least as a point.
Total YES is resulted at least as an endless (edgeless) straight Line.
No one of these total states is researchable (a point in itself is too weak and a line in itself is too strong).
Only a segment (ray is included) is researchable exactly because it is the result of YES\NO linkage logical framework, such that the NOT aspect of the linkage is transparent to the line aspect of the linkage (and we have the connection of X with NOT-X that enables the comparison under YES\NOT linkage) and the NOT aspect of the linkage is sealed to the point aspect of the linkage (and we have the isolation of X from NOT-X that enables the identity under YES\NOT linkage).
If the YES aspect of YES\NOT linkage is dominant, then we have superposition of Ids.
If the NOT aspect of YES\NOT linkage is dominant, then we have unique Ids.
Organic Numbers express exactly this.