Interesting Ian said:
A particular individual before they act? Maybe their behaviour can be but that would literally be an equation describing freely chosen behaviour. There is a distinction between this and all non-sentient physical existents in the Universe. For example the equations describing the orbits of the planets around the Sun would not be normally thought of as equations describing the freely chosen behaviour of the planets. The behaviour of sentient beings has a differing origin from non-sentient things.
But note that an (empirical and based in statistical data) equation that predicts the behavior of an individual could be taken as evidence that the behavior is controlled by a certain set of "laws".
An analogy- quite often we can predict, based on statistical data, the behavior of a number of complex natural phenomena. Distribution of elements within an ore deposit or a region are the examples that come in to my mind, since thats the sort of stuff I´m familiar with. However, to create a mathematical model that can simulate say, the formation of the observed pattern, is much more difficult, given the number of variables and different proccesses involved. We know, however, what are the processes and controls involved, but we can´t -yet- simulate the actual formation of the pattern. Actually, nowdays people are starting to model the genesis of a number of deposits, with good results, but its not -yet- a widely used tool.
All the above is just to say that behavior predictability may be an evidence for control by a given set of rules or laws, thus creating problems for some free will concepts.
Interesting Ian said:
My statement "I'm afraid Newtonian Mechanics does not accurately describe the world " is not equivalent to the statement "I'm afraid Newtonian Mechanics does not accurately describe any part or aspect of the world".
OK, but the fact is that Newtonian mechanics (and its developments, as well as electromagnetism, for example) can accurately predict and describe the behavior of macroscopic systems such as planets and human beings. QM and relativity are not the correct tools for these scales.
Interesting Ian said:
But we know that very slight effects can have unlimited consequences. Have you not heard of Chaos theory? The butterfly effect?
Yes, I have heard. A number of geological (like the ones I reffered about above) and meteorological systems can be seen as fractal systems. And I also have heard the many flawed assertions that were generated by misundertanding of it. The butterfly effect actually is about the initial conditions of a complex system.
To use the standard "butterfly effect example", small pressure or temperature changes within an atmospheric system
may cause it to evolve to light rain, tropical storm or hurricane. The keys here are the words
small (What can be considered small?) and
may (Its a just a possibility, after all).
Also key is the fact that we can correlate pressure and temperature on a number of ways to the processes and variables controlling the atmospheric system. Can any QM set of processes, equations, etc. be applied to counsioussness or to paranormal phenomena? I mean not just vague sentences on non-determinism, but a mechanism that provides some predictability.
Please note that I am not demanding this from you specifically. It may come from any person who studies these fields and thinks that QM is somehow linked with it.