--Once proved, a theorem is immune from empirical revision.
--Mathematicians carry all their gear in their craniums, which is another way of saying that mathematics is a priori.
--Gödel's conclusions are mathematical theorems that manage to escape mathematics. They speak from both inside and outside mathematics.... Our minds, in knowing mathematics, are escaping the limitations of man-made systems, grasping the independent truths of abstract reality.
--They [the theorems] are at once mathematical and metamathematical.... It is as if someone painted... a landscape or portrait that represents the general nature of beauty and perhaps even explains why it moves us the way it does.
--It is extraordinary that a mathematical result should have anything at all to say about the nature of mathematical truth in general.... mathematical reality must exceed all formal attempts to contain it (emphasis mine).
the form is and is not the essence. The form prolongs the essence but it may also veil it. The essence transcends the form but it also manifests itself through it.
Hmm. Is and Is Not. We're not in Athens anymore! -- i.e., no longer dealing with Aristotelian logic, where things can't both be and not be at the same time. But this is precisely the dilemma Gödel resolves vis-a-vis the theorems. For just as no formal system exhausts reality, "the Divine Essence... transcends all determinations" (Laude):
We could say, simplifying a little, that exoterism puts the form -- the credo -- above the essence -- Universal Truth -- and accepts the latter only as a function of the former; the form, through its divine origin, is here the criterion of the essence.
Esoterism, on the contrary, puts the essence above the form and only accepts the latter as a function of the former; for esoterism... the essence is the criterion of form; the one and Universal Truth is the criterion of the various religious forms of the Truth (Schuon).
This is how our public discourse has become increasingly bizarre. As soon as you exclude realty from the debate, you are left with various forms of unreality. Since none of the unrealistic options can possibly lead to a solution, the debate breaks free from the problem itself. The measure of acceptance is no longer about facts and reason, but some other standard.
but the unreality pandemic plaguing our rulers. As the range of acceptable debate narrows, they are left with an increasingly bizarre set of choices.... Like an addict searching for the next high, our rulers are riding a dragon of depraved reality avoidance, taking the rest of us into the abyss where all addiction leads.