But he could suddenly sweep it all off the table as before.
Nothing was sweeped off the table simply because the table itself is a part of the game.
In that case the table is Relation where Relation is non-local.
As for the independency of a point and a line-segment, a line-segment or a point are types of elements, where a point is local w.r.t other element and a line-segment is local or non-local w.r.t other elements.
When we speak about total isolation (which is not researchable, exactly because no connection can be found) or about total connectivity (which is not researchable, exactly because there are no elements that can be connected), we distinguish between at least to non-researchable states, where total isolation is too weak in order to be researched, and total connectivity is too strong in order to be researched.
Actually total connectivity is the strong limit of the researchable and total isolation is the weak limit of the researchable, where these extremes are not defined by each other, but they are independent manifestations of Singularity, which is non manifested by nature.
Since our cognition is aware of the non manifested it gets itself as a factor that has no influence on the manifested, or in other words, the manifested is considered as objective and independent of any observation.
But on the other hand, the manifested is after all the manifestation of the non-manifest, where the manifested depends on the non-manifested, but not vice versa.
From this hierarchy of dependency, our cognition is aware of its ability to be used as the interactor between the non manifested and the manifested.
In this case what is considered as objective, can be understood differently from more than a one point of view.
This is one of the aims of my work, to show the non-trivial property of observation as a significant factor of the mathematical science.
