Your.Master said:
That is precisely why one might make the attempt to use mathematics and physics to prove free will (or rather, to disprove free will -- it seems to me probably significantly harder to prove such a thing if it is true than to disprove it if it's false -- but that's just my impression). Whatever higher level arguments we have, we are ultimately subject to reality. To physics. If one can utterly prove that physics affirms or denies free will, then all else is irrelevant. If one cannot, we must move to higher-level argumentation (or abandon the issue).
I suppose I never considered free will being defined as the ability to do whatever you want - including defying your reality. If being able to overcome the laws of physics is a requirement for free will, and let's suppose that you can...then you encounter that higher-level of argumentation. And then you say "Well, if free will does actually exist, then we should be able to disobey these laws just as we disobeyed the laws of physics" and then you proceed to the next set of laws. If you use these criteria for proving or disproving free will, then you'll either end up disproving it(because we can't disobey the laws of physics) or you'll end up disobey each set of laws in turn until human beings must be all powerful in order for free will to exist...so the test of free will is doomed to fail before it even begins since it's obvious that human beings aren't all powerful.
And I'd just like to point out that you could argue that physics and mathematics are no better at describing reality than psychology, history, or just sitting on a park bench and watching the way people interact with each other...
Most of the time, the discoveries in science raise more questions than they answer...so science simply shows us what we don't understand about reality rather than giving us dominion over it.
Your.Master said:
Right. The assumption that the past is in some way like the future (and that some recording of the past, at least in memory, is reliable enough). There is also the assumption that standard logic is in some way truth-preserving. To abandon these assumptions would mean that the above logical and physical proofs are not valid, or at least, valid but insufficient. However, this puts aside a certain practicality, and also makes it quite impossible to ever evaluate your claims on any objective basis. Which, of course, is okay. But we are on the physics forums ;).
I agree that the validity of logic and mathematics is one huge assumption...the assumption that most people are sane and rational. But that still doesn't mean that one day, all our logic systems and equations can't come crashing down around us. And do see your point that logic is really the only tool we have to test such things, no matter how flimsy it might be...
I'm an engineering scientist who began specializing in physics and ended specializing in computers and am receiving my graduate degree within a month ;).
Your.Master said:
Not necessarily. Evolutionary algorithms, neural networks, dynamical systems, and hell, even buggy software (especially buggy distributed software) all violate your principle. You are correct that most software used today does do this. But we have had practical results out of all of those other cases I mentioned, so they aren't merely academic.
Even if some computers do seem "think" creatively, wouldn't the intelligence of the computer always be limited by the intelligence of it's programmer?
Your.Master said:
You're equivocating here. Humans have an extremely large but finite amount of influences, although a lot of them counteract and a lot of them fade away completely. Furthermore, an influence does not necessarily equate to a conditional strictly. It could relate to a variable assignment, especially to a variable that is never again used in the program.
If the number of influences is limited, the number of alternatives can still be unlimited. In addition to all the logic choice you might make, you could consider all the illogical ones as well...
Your.Master said:
I disagree. Determinism merely suggests that you will definitely make the decision that is determined. But the decision is still made.
I would define free will as the ability to choose between options in making a decision...if determinism limits you to one option...there can't be a choice. In a decision, I would assume that you have to "decide" something. Usually, you decide between two or more options. If you only have one option, you aren't really given a decision to make.
Your.Master said:
Good. Now, can I further propose that God may not be sentient at all? Is there anything stopping us from labelling something else, even something with no understanding whatsoever, God?
No, if you define God as something that has no understanding. In that particular scenario, God would be an entity that allows the exercise of free will.
Your.Master said:
Can we say that, in the context of this paragraph, God is determinism (I'm not trying to open up a religious debate, just draw an analogy)? Or, perhaps, that God is the laws of physics, not as man currently knows them, but as actually occur? Thus, does this not mean that determinism and free will can coexist, after a certain definition for free will and determinism?
I don't think you could argue that God is determinism is because God is not the one determining your actions(in this scenario). If you were going to make any kind of statement like that, you would have to say that the individual determines his actions, which is the same as free will.
If you say that God is not the laws of physics, then He automatically loses his status as a God, by most definitions of a deity. I used to argue that free will and determinism coexist, but I came to think that if determinism does it exist, then you're the one who creates it...determining yourself.
Your.Master said:
I contest that. Humans are electrons and rocks. They are also other things.
The very first assignment that I had in my high school philosophy class was to take a rock in my hand and answer a series of questions about it. One of the questions was "What would it take to hold the rock morally responsible?"
I'm willing to go so far as to say it's impossible to hold a rock morally responsible without giving it human characteristics and qualities. If humans are rocks, then humans can't be held morally responsible either.