Earlier quoted context omitted.
> What exactly has it yielded? All of the physics and the sciences downstream of it came out of ancient Greek idea of materialism, the idea that things happen not because of wishes of sapient entities like gods or spirits, but because of matter mindlessly following some simple rules. There was a time when the idea that sun is just a fireball and not some thinking being was as hard to accept, as now is the idea that c…
You seem to have constructed a strawman out of your very own interpretation of idealism. Idealism doesn't condemn the study of nature (i.e. science). It merely says that nature is "dreamt" and that consciousness is the primordial stuff and of a different category. Scientists generally have no problem with this, since they can go on studying observable nature as the purview of science, as it's intended. The problem be…
The question i am primarily interested in, is: "whether there exists a Turing machine, output of which is indistinguishable from behavior of a human".
This is a purely abstract, mathematical question and should be in the purview of science. As far as i understand the answer to this question given by Idealism is that 1. it is not possible, and 2. when it is done it will still be impossible because despite behaving 100% the same as a human it will be something entirely different (a philosophical zombie), because 1 is true by definition.
Perhaps the confusion arises because we are just talking about different things? And you are not interested in either behavior of this kind of Turing machine, or in detailed description of physics of matter in the brain?
> Quantum nonlocality was demonstrated experimentally and people won the Nobel prize for it
There are still many interpretations possible, e.g. https://en.wikipedia.org/wiki/ER_%3D_EPR or the interpretation proposed by Wolfram Physics project (which i rather like), which keeps local realism, but locality is not on R3 but on a graph.