Fleeting thoughts: Quantum Complementarity as Paraconsistent Reasoning

Quantum mechanics offers a paraconsitent model of self-grounding. That model has the advantage to be used by nature for the self-foundation of the physical world by itself on quantum ground. Furthermore, the ability of the self-grounding of that quantum model is the sufficient condition for it to be what takes place into the physical world.

The essence of that model is complementarity at all as well as that between the grounding and the grounded in particular, and thus their symmetry and identity. The strategy of quantum grounding is as

follows:

What is to be founded is divided into two parts called complementary to each other. This means that both cannot be given together or simultaneously. They can be also designated as incommeasurable to

each other. Furthermore, the hidden part is interpreted as what founds, and the demonstrated part as what is founded by the former, and thus an epistemologist can interpreted them as correspondingly meta-theory and theory in our cognition.

Those two parts is necessary to be identical. If one accepts that they are identical in any relation their
mutual exchange as the grounding and grounded is just the same as the initial situation. In other ords,

those two parts should be considered as invariant to the relation of grounding: Any of both parts can be any of both members of this relation. However the relation is not accepted as symmetric and it only allows symmetry as a particular case realized by the two parts at issue. After that is the case any of both parts self-founds itself by the hidden aid of its identical twin. Even more, both self-foundations are asindistinguishable as both twin parts are such. That special case of the relation of grounding can be called self-grounding.

However its deficiency is the necessity of a more general relation, which founds it implicitly in fact

without being itself grounded somehow. This forces the identity of both parts to be introduced in a way, which to be invariant to the availability or not of a more general relation, to which the identity is a particular case. If one manages to do this, the relation of self-grounding will ground itself in turn. Nature is what uses it, and quantum mechanics only reveals how this is made:

The essence is that particular case of identity and the general case to be involved in a relation of complementarity in turn indistinguishable from the initial division into two parts correspondingly the

grounding and grounded. The coherent quantum state before measurement is for the grounding, the statistical ensemble after measurement is for the grounded, and quantum measurement is for that relation of grounding, which is self-grounding. Thus the invariance to the axiom of choice means for the grounding and grounded to be equated.

Thus quantum mechanics offers a general scheme of paraconsistent reasoning extracted from nature.