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Main thread: E-mailed Remarks from Kevin Johnson edited into seven beads (**) (*) (*) (*) (*) (*) (*)
Dear Colleagues,
Just a few thoughts.
I will jump ahead into some of the areas I have been thinking about; maybe they will be useful. I am not going to try to prove any of this. I'll just try to describe what I am seeing.
Before I forget, let me mention that you are trying to solve problems that exist on multiple infinite levels. That is to say, they are not simply inverse problems but rather inverse problems nested in inverse problems and so on (and/or) inverse problems disjoint from other inverse problems. If you try to stay with an FSV (floating singular viewpoint) type analysis you will not proceed past aleph-null.
It is possible to establish an actualized infinity in a finite number field when simultaneous multiple viewpoint affirmation is used. Even beyond this, it is possible to establish multiple actualized infinities in a finite number field. The infinities can be hierarchically ordered (in increasing aleph relationships) or heterarchically ordered (in equivalent aleph relationships) or both (parrial). Definition of the term parrial. [A caveat is that the objective or absolute aleph level is not available.] These are alephs established by residency in the isolated set or compared by a viewpoint that is co-resident in multiple sets.