- #36
Zantra
- 793
- 3
Originally posted by hypnagogue
A particular roll of die can have only one outcome, depedent on the initial conditions of the system (i.e., the state of motion of the die just after they have been tossed). This is a deterministic process, insofar as perfect knowledge of the system will allow us to predict the outcome with absolute certainty. It's just that the system is so sensitive to variations in the initial conditions that it's very hard to make a prediction with 100% confidence, so the system takes on the appearance of randomness.
This kind of apparent randomness is not applicable to what I'm talking about. Any deterministic process that occurs in the decision making of F by definition must also occur in the decision making of D. So for instance, if F commits to making his decision of whether to choose chocolate or vanilla based on the outcome of rolling a set of die, then D will also base his decision on rolling an identical set of die in an identical way, and they will have made the same decision. (Recall that D and F are identical up to the moment of the decision at t0-- this roll of the die takes place before a decision has been made, so it takes place before t0.) So we have still not accounted for what is different about F such that his decision will not always match D's.
The only way around this is to introduce a truly random non-deterministic element, such that even with perfect knowledge of this random element we will not be able to predict its outcome. Just such a truly random element is the only thing that can differentiate D from F. For instance, in the above example, F could have decided at t0 to change his mind and reneg on his commitment to base his decision on the die roll. This last minute change of heart cannot have been the result of a wholly deterministic process, otherwise D would have undergone the same process and likewise would have changed his mind, and once again we'd have F's decision always agreeing with D's. So F's last minute change of heart must have been not apparently random, but truly random. Whether such a truly random process exists is another question altogether (although as far as we can tell individual quantum events are truly random); what is relevant here is that a truly random element is the only thing that can explain why F sometimes chooses differently from D. Again, I define a truly random element/event/process as one that cannot be predicted with 100% confidence even if we have perfect knowledge of the system. [/B]
Ok I agree that under the condition that a unique "free will" variable is introduced, a different choice can be made. But such a variable only exists in theory. A good example would be time travel. As I mentioned in one of my earlier posts, he could choose vanilla if he somehow knew of the future, and was thus able to make a decision based o knowledge that (D) did not have. But in the normalcy of things, people don't posess that ability, so we have to assume that D=F because the physical world doesn't allow for variables to be introduced. In mathmatical theory it's possible because we can work from a hypothetical persepective to arrive at that conclusion that D does not equal F, thus allowing for free will. But I concede your point- it is mathmatically possible, if not physically.