"the data from the outcome of that choice still feed into one's neural network and influence future choices" It seems to me that any time you have a process th

"the data from the outcome of that choice still feed into one's neural network and influence future choices" It seems to me that any time you have a process that feeds the output into the input, then you can easily have a divergence of trajectory whose precision exceeds anything that could be explicitly stored in a finite universe. So it seems to me that free will must exist in the sense that a simple system, let alone a brain, can produce information from somewhere that can't come from the limited universe we seem to inhabit. Like, take the Mandelbrot set as a simple proof of concept. It may not have all the things in it that are in the universe, but it seems to have more resolution, more components, than can exist in reality. So if you used it to feed a process, it can add something to the universe as it affects reality.