Incompleteness belongs to the highest level of structural thought. It is beyond mathematics in that we can call out mathematics as an Incompleteness.

The first thing to understand is what the differences are between a Completeness and an Incompleteness.

A completeness is, for instance, set theory. Yet set theory cannot be declared the single mathematical language of reality. So, if we place set theory at the level of reality, then we find that set theory is an incompleteness.

The brain has to wrap itself around these two distinct answers about one and the same. We have to make sure to not turn everything into one and the same.

As my other used to say, a dog is an animal, but an animal is not always a dog.

That's the whole point about Gödel's Incompleteness Theorems: there is no singular framework underneath reality. We have to keep the levels apart.

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Thank you for your reply. I do not completely understand why you talked about set theory. You must have made the jump from box to set, and so you missed the analogy I provided.

Set theory, number theory, the decimal system, algebra, the binary system, you name it. They are all complete onto themselves, and they are all incomplete at the overall level of reality.

Thank you for your reply. I do appreciate it.