[deleted]
Hi George,
i always enjoy your insightfull comments here. Your example with the digital computer is, as always, very interesting. Some years ago i answered to Florin Moldoveanu here at fqxi in the same way. The question was if nature is as deterministic as maths, should mean, if nature is strictly deterministic or not and if there is something like a proof for this strict determinism. I argued that a strict determinism is a closed system as for example the Godel's incompleteness theorem and therefore - if strict determinism is true - this system cannot be consistent in every detail. What follows from this is, that it is inconsistent to try to achieve a proof of strict determinism via strictly deterministic procedures (for example via maths).
Florin replied that a computer - and therefore the underlying maths/logics has to be strictly deterministic. I replied that it isn't guaranteed at all that for the same input and output data of a computer the QM microdynamics that lead to the same macroscopic results must necessarily be the same.
A programming language like C++ surely is a man-made construct. It is based on logic, implemented into the hardware of the PC, but without the possibility of humans to exist, there would be no computers and hence no example of top-down causation to consider here. If one argues this way, we arrive at the well known anthropocentric questions about wether there is some special, "unphysical", determinism-contradicting entity in nature that enables consciousness, free will and so on or not. the main point for me here seems to be that, again there is no way to prove in a strict and deterministic way that the fact that there are observers possible in nature is a result of a strict determinism in nature.
What i assume to be fundamental, - as i outlined in my essay here - is, that those regularily re-appearing undecidabilities (determinism/indeterminism, free will/subjective lack of knowledge, completeness/consistence, which-way information/interference, non-locality/non-reality etc.) stem from a CLOSED SYSTEM itself. This system i have labeled with "logic of opposites" - it doesn't allow -due to its inherent rules- the possibility of another logic that isn't grounded on mutually exclusive possibilities. This logic of opposites (Boolean logic) doesn't allow to contrast it with something that hasn't mutually exclusive features. Because this would contradict that there are only mutually exclusive features possible at all. The "something" i spoke of is surely close to QM and its features like superposition. Mathematically spoken, it is simply the abandoning of completeness in favour of having consistence and truth as the fundamental features of reality. If one considers the problem of mutually exclusive possibilities concerning the scientific/philosphical questions raised above, then it is possible to gain an insight that nature has some top-down, acausal features. Because by giving up the completeness criterion, we at the same time give up the "strictly deterministic" criterion. This is possible not due to arbitrary wishes but due to the consideration of systems in maths, cognition, complexity theory and so on. It is always the same pattern there: By giving up the assumption of closed systems, we gain - as Godel has proven on a deterministic basis BUT with some considerations to the necessity and stronger meaning of consistence over completeness - consistence and truth must be more fundamental than completeness. Otherwise sience would state itself as an inconsistent system and all our lines of reasoning would be highly questionable right from the beginning. That the latter could be indeed true in nature, is at least in my opinion, very unlikely, because of the huge success in science, physics and the human mind to decipher nature.
The counter-argument of a strict determinism then can only be one that assumes a huge "coincidence" out of a somewhat wild "chaos". I assume the former to be true - on the grounds of my essay's considerations, and the latter to be absurd, inconsistent and illogical from the very start.
"Coincidences" for me are then just another term to explain that QM-dynamics is fundamentally about generating consistence in nature - a result that i consider as somewhat very fundamental and meaningfull.
Best wishes,
Stefan