Non-Well-Founded Identity Principle
Here’s a crazy little number that I like to call the Non-Well-Founded Identity Principle. It woke my boiling brain up a few times last night, so I present it now in its raw state of lunacy.
The idea here is “For All A, A equals the integral between A and (the integral between A and not A)”.
This represents a refinement of trivial identity, A=A, to reflect the grounding of all propositions in the Absolute inertial frame of pansensitivity. The nested integral specifies that all integrations are themselves defined as that which is not disintegrated. Any object, subject, or sensory presentation or representation (A) is itself, and it is also the range of all possible relations, literal, figurative, and otherwise, between itself and all that is not itself (≠A).
This comes out of the idea that sense is the Explanatory Gap, i.e. the gap between private experience and public bodies is a non-well-founded set (non-well-founded sets contain themselves as members) in which primordial pansensitivity*defines its nested child sense experiences in a terms which are both unique, generic, and everything in between, depending on how the local perceptual inertia frames it.
*pansensitivity is plain old feeling, sensing, being and doing, but extended and universalized beyond Homo sapiens, as well as physics and arithmetic truth. Ontology itself – being; the is-ness and it-ness of all phenomena can be reduced further through the Non-Well-Founded Identity Principle, under which ontology becomes the nested gap between phenomenology and the sense of its own absence. This is a very tricky shell game, but it is not intended as a trick or a game. Said another way, ‘privacy is the difference between privacy and the difference between private and public experience.’
Applied to philosophy of mind, we would get: Naive realism equals the difference between naive realism and (the difference between naive realism and reductionism). Another one would be Sense equals the sense of the difference between the sense and (the difference between sense and logic). It could be said that X=/(=/≠) X, so that any number is a straight isomorphism with itself, but it is also a superposition of any potential combinations with or relativity upon any and all X that it is not.
The reductio ad absurdum can be seen in this second expression:
in which integration itself is the integral between integration and disintegration. Every set or process is defined by its own self-same initiation and termination.
Is this all insipid tautology? Is it another way of catching a glimpse of Heisenberg uncertainty or Gödel incompleteness through a fun house mirror? I don’t know much about calculus, so there may be a more conventional way of expressing these kinds of relations, but in the mean time, to me, it’s an absolutely interesting way of modeling the absolute: A universal capacity to simultaneously universalize and de-univeralize (proprietize) the universal experience.