Tuesday, May 21, 2013

Fracten a-holon

Continuing from this post, any model or system (mathematical or otherwise) posits non-provable axioms and goes from there. And whatever the axioms one can find logical and consistent conclusions arising therefrom, even if such axioms contradict another system's axioms. So one problem is in assuming that the system's axioms are the objective in itself universal givens instead of creations of the system. Another is that the insatiable desire to have that one theory of everything that subsumes all the others under its 'more correct' auspices. I'm granting that indeed we can make progress, evolve if you will, but that our current 'highest' understanding is that there are multiple models of equal 'altitude' that 'work' as viable and productive tools. And that no one of them can fulfill the ultimate meta function of stepping outside The Real to see the Really Real. The name for that phenomenon is assholon.

As for changing equations within a given set of system axioms, that plays into Bryant's ontology in that a given suobject can indeed change its combinations or interactions within itself and/or in relation to other suobjects, thus changing those space-time equations. But I was also pointing to how for example this might also violate the axioms of another system that says space-time is itself an unchanging given. And yes! The former might indeed be a progressive development over the latter! There just might be, and are, several variations on the latter's thematic axioms.

Another thing occurred to me. What if indeed within a given axiomatic model there comes a point where to maintain its coherence the axioms themselves must change or evolve? And thereby replace those former axioms instead of include them in a nest? I'm again thinking of the difference between basic and transitional structures. Kind of like for Bryant endo-relations can and do indeed change depending on its environmental exo-relations. Sure, it's withdrawn core is never exhausted. But that withdrawn core, being itself constructed, does change and evolve, perhaps quite drastically.

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