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Main thread: E-mailed Remarks from Kevin Johnson edited into seven beads (*) (**) (*) (*) (*) (*) (*)
I believe you will be interested in those cases that do have overlap. The overlap will afford a medium ('meta-level') for at least one interleaving viewpoint to have simultaneous residency in multiple infinite sets, thereby ordering them.
I am most interested in the relationship between the viewpoints in the infinite sets and the interleaving viewpoint. (:.:)
At present I believe it is possible to accomplish a controllable retrieval system by varying the spatio-temporal continuity assumptions of the viewpoints (thereby they will remain distinct but equivalent within a context and within universe of discourse. The assumptions of the viewpoints offer an expansion of the spatio-temporal universe of discourse 'properly' addressed (:.:).