Peskanov,
But there is a problem of semantics in game. You can't equal "noisy" and "acausal" inputs.
Do we agree that a deterministic system can be very noisy? Would you still say that this system is partially stochastic?
If the inputs are deterministic, but acausal, then no, technically the system is not noisy or stochastic. When we are talking about abstract mathematical systems the distinction is meaningfull. When we are talking about physical systems, the distinction is only meaningfull if we can tell the difference. This goes back to what I said before, about those terms only meaningfully applying to mathematical models. Our model may be acuasally deterministic, or it may be stochastic, or it just may involve high-dimensional chaos of a complexity sufficient to make it indistinguishable from a random process. All three can be equally accurate models of the same physical system.
when a system is chaotic, any random influences, no matter how tiny, will eventually have a significant effect on the system.
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I don't think that the brain can be described as a very chaotic system. Remenber that's is quite hierarchical, and it also has a good level of redundancy.
Again, it all depends on the degree of accuracy required. Our current models of brain activity are extremely simplified statistical models of large-scale behavior. They are not accurate models of microscopic neuronal dynamics. Even a single neuron can be chaotic.
Ian,
Well, since there intrinsic randomness, no. But if, for purposes of the thought experiment, we ignore that, then yes.
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How is randomness of any relevance at all to this question regarding free will??
Because, if you contend that your will is "free" because even though you made one choice, you actually could have made another (as opposed to it only seeming that way), then what you are claiming is that your choice was, at least to some degree, arbitrary. That was the whole point of the thought experiment I presented.
You keep going on and on and on about it all the time, and spectacularly fail to understand that, in the context of the free will problem, determinism + randomness differs not at all in its import from simply determinism. Randomness is simply the other side of the coin from determinism. Invoking randomness doesn't magically make your concept of free will any more free. Indeed, arguably less so.
And therein lies the problem. You claim that a deterministic system cannot be free, because its choice was inevitable. You also claim that a random system cannot be free, because its choice was arbitrary. What you do not seem to realize is that there are only two logical possibilities. Either your choice was logically implied by your prior physical and mental state, in which case given those states, it was inevitable, or the choice was not logically implied by those prior states, in which case it was arbitrary.
When you stipulate "free" in that way, all you are really saying is that no logically self-consistent system can be "free".
Anyway, surely merely predicting someones behaviour is insufficient for us to conclude that it unfolds according to some algorithm?
No, saying that the system producing that behevior functions according to logical rules, is sufficient for us to conclude that it unfolds according to some algorithm (either a deterministic or a probabilistic one). If it is your contention that the self does not function according to logical rules, then please say so now, so that we can avoid wasting any more time trying to logically discuss something which is illogical.
So you do not agree that from the perspective of libertarian free will, it would still be in principle possible to completely (or almost completely) predict what a person will do under any circumstances. Hmmm . . if so . .it's little wonder you think LFW is unintelligible!
I think it is unintelligible because you seem to be simultaneously claiming that there is, and is not, a logical reason that we make the choices that we make. That is self-contradictory. Either there is a logical reason, in which case the choice was inevitable, or there is not, in which case the choice was arbitrary. Either way, according to you, the selection mechanism (free-will) was not "free".
Dr.Stupid