THE GODEL NONSENSE IS AN INTERGENERATIONAL INFECTION. 😉 –“There’s no proof tha

THE GODEL NONSENSE IS AN INTERGENERATIONAL INFECTION. 😉
–“There’s no proof that everything is computable. Information theory is in agreement with Gödel.”– Replying to @Zamicol and @cryptogeni

That is a naive statement. You are confusing the limits of mathematics with the limits of computation and not grasping computation as a sequence of possible operations. The fact is if the universe can construct anything at all – if ANYTHING can exist, then it is computable because there is no difference between computation and construction by permutation.

The difference is that mathematics is universally statistical (categorical) so that we can predict what is mathematically reducible, and that is only a subset of what is computable. The problem with computability is that there is no means of prediction – there is only a means of trial and error.

You also misunderstand Godel. The point is that not everything is provable because there is no closure to computability, and provability is a statement about logic given a set of fixed premises and not about existential possibility. Furthermore, the proof appears to be limited to arithmetical operations and nothing more complicated.

It appears you also misunderstand information theory given that the purpose of the theory is to explain the problem of entropy and noice precisely because of the information loss in mathematical (verbal, ideal) reduction vs computational (operational,real) procedures is due precisely to the fact that mathematics loses information and computation doesn’t (at least down to -35 decimal places).

I did not realize until the early nineties that this false understanding of Godel was spreading like a virus with each new generation of students learning programming – but who have no basic comprehension of its narrowness. However, there are authors who have written books, one in particular that I can’t recall off the top of my head, that I felt was largely accessible to the STEM degree-educated population.

I hope this helps you at least head in the right direction.
Let me know if you require further explanation.

Cheers