I see from another post of yours that you are religious, which is a common personal reason to assume a form of dualism as at least central tenets in the Abrahamic religions seem to require it. Do you see dualism necessary for your position of human intelligence being incomputable, and if so could you reference an argument you would find compelling also for readers whose religion (or lack thereof) does not necessitate dualism?
If you don't see dualism as necessary for the possibility of human intelligence being incomputable, could you open up your thinking on this?
I apologize for being so forward, but I worry some might read your comments without realizing that they might rely on unshared assumptions.
"Is it true there is no truth?" is not even close to a compelling argument, there are rigorously defined notions of truth within any of the eminently computable logical frameworks that we use.
If you can write down or talk yourself through a proof of why a program will halt, you have solved a computable problem. By definition. When you say "we can decide a whole lot of programs halt", you're talking about plain Jane computation.
If you have knowledge that any program that I give you will or will not halt, then you're a hypercomputing oracle for the halting problem, and you can do magic, basically.
There's a world of difference between the two situations. And I'm fairly sure (but not positive) that there's no way for you to prove in finite space and time that you are an oracle for the halting problem.
Edit: for more on that last bit, see https://pdfs.semanticscholar.org/19f9/0c34cdda43efdcf0831b2f...