I enjoyed very much reading your essay, in particular how you introduced and explained the concepts, and how you conducted the arguments. But most importantly, I liked the positive twists that you put on things that we normally take as limitations from the important no-go theorems that we have.
> Undecidability, Uncomputability, and Unpredictability are usually seen as a limit of knowledge. But an analysis of the three concepts paints another picture. Uncomputability is a sign of an unknown powerful bridge to other areas which are essential to solve the problem.
I fully agree with this, understanding the walls helps understanding and finding the doors. You gave some great examples, showing that indeed, as you wrote, "The Brave New World of computable, decidable and predictable science does not exists anymore!" Braver freer worlds are waiting for us beyond this one. Probably researchers will never run out of wonderful problems to explore. Even though the difficulty will grow like Gödel's φ(n), the power of our tools will hopefully grow too. All this time, epistemological modesty grounded in the no-go theorems will be our faithful friend.
Thanks for this essay, and success!