This is the kind of high minded wanderings that I come to Nostr for. :P

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If ∃x.G(x) = "God exists" according to Gödel, {P = NP} for an equivalent hypothesis then ∃x.G(x) = {P = NP}; which will develop an 'incomplete theological validation' with various believers!

If {P ≠ NP} elaborate a "completeness of the bohemian theodicy" of Bolzano-Weierstrass such as: -1 or i = √-1, then ∃x.G(x) = {P ≠ NP} because not only “good” also “evil” were part of the double probability of God..

So, "do We believe in God" = Recognition of a total entity!