"The only certainty is uncertainty." As such, we know that we have at least one certainty.
The only completeness is a highest level of incompletenesses.
As such, we need to thank Gödel for delivering us one Completeness, which is his twin set of Incompleteness Theorems. The big picture level only contains Incompletenesses because diversity is guaranteed and all can therefore - each by themselves - not be used to declare the highest level completely.
The binary system and the decimal system are indeed different systems, even when both can declare anything numerical in the universe; they are each an Incompleteness on their own. Even a combination of various truths from different areas, the highest level cannot be declared as a completeness.
Many folks fail to see the highest level of reality because they desire a unified field of forces, a leader, a president, a God. Yet not one of us was born from just a single parent, no Cyclops can be our God, no captain is perfect, no brain is not based on two hemispheres. If we desire ultimate unification, a completeness, then we might as well declare that Santa lives among us all year round and pops up just once a year to entertain us. The omelet was made from one egg, yet it could not have been made had the egg not been broken in a prior stage. The omelet is an Incompleteness.
Gödel discovered the ultimate truth, and yet not even Gödel recognized what he had done. That was the biggest surprise I had about Gödel.
When discussing the universe, Gödel suggested it could possibly spin as a whole. He contradicted his own delivery by considering the universe a unit, while his Incompleteness Theorems had shown him that he should not be thinking that way.
Naturally, the universe is not a unit. We all know better; it is a collection of various aspects. Matter is always finite; space is always infinite. There is no single platform we can call the universe. We need at minimum two levels, each specifically based on its own ‘grounds’.
Gödel did not understand that he had found the holy grail. He ignored what he had discovered, which means that he was not looking for the big picture level, but was always concentrated on the small levels and thought it was fun to figure out the relationship of the small levels with the larger level -- without seeing that this declared something mighty important about the largest of levels. He ignored the baby in the bathwater.
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In 1992, I discovered the mathematical truth that zero is ALWAYS part of whichever numerical system we use, and this was published in 2000, earning me one single scientific note.
I have been amazed how few people recognize the big picture level, how so many people think in units where there are none and then consider themselves unable to figure out the big picture because their one-unit idea cannot be achieved.
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Thank you for your article about Gödel, but I need to mention that you, too, have not figured out the big picture level itself yet, despite writing in the title correctly that "Incompleteness explains everything." You do not see the information as the ultimate truth, but as leaving us wondering still.
When we say that the truth cannot be known, then we have found ourselves… a truth. At the highest level, we find one truth, and when investigating it, we can see that it is a negative. It is not a positive (neutral at best). Same for that uncertainty being the only certainty. We have a truth, but it is about negatives only.
When we desire a unified field of forces, one has to investigate if such a construct is even possible and, after researching this, concluding that it is not possible to live and in a result and that result then being a completeness. The omelet is of course never a completeness.
We have to use our brains better to see the big picture. Two hemispheres cooperating with one another to discover depth in our thinking.
Newton is the cake. Einstein the icing. Gödel the cherry on top.
You did a great job describing what Gödel accomplished, but I’m hoping that in your mind you will put the cherry on the icing of the cake.
'Discovering Zero Among the Prime Numbers'
https://www.cantorsparadise.com/discovering-zero-among-the-prime-numbers-65a47cbf79ec
