And, again, I don't see how it relates to our discussion on consiousness.
The point of contention, Belz, is whether the time dependence of a real physical process reduces to order dependence. And by order dependence I mean the causal order of events.
Why is this important?
Because westprog is asserting that since the notion of abstract computation doesn't explicitly contain any constraints due to time intervals it isn't necessarily sufficient to explain the consciousness that occurs in physical reality, where westprog says time intervals are an essential constraint.
However, I dispute this claim. My argument is thus:
1) When we speak of a "time dependency," for example that event B must occur between one and two seconds after event A, we
really mean that after event A occurs, there is a series of further events that will occur, and once those are complete event B needs to occur, and that this group of intermediate events takes one second to occur, and finally that one second later another event (call it C) will occur that B is supposed to preceed. Thus, if B does not occur within that time interval, it really means that B occurs before the intermediate events finished or after C (that it should have been prior to). In other words, some essential ordering is messed up.
2) This is confirmed by relativity, since in a relativistic world (our world) the
time intervals between ordered events can be very different but the
ordering itself cannot change. Unfortunately I wasn't clear that I was speaking of causal order -- I thought that would be implicitly apparent since nobody cares about arbitrary order -- but westprog latched on to the fact that relativity can change arbitrary order in some pathetic attempt to find at least one thing wrong with my argument to avoid looking completely wrong himself/herself. We now have agreement from westprog, however, that causal ordering cannot change, regardless of relativistic effects.
3) If #1 is true (and it is, since #2 is true, as westprog has finally admitted) then it means the notion of abstract computation
implicitly contains the equivalent of time dependency -- order (causal) dependency, because time dependency is nothing more than order (causal) dependency anyway!
4) Thus, the argument that some essential aspect of reality isn't accessible in the abstract world is invalid, at least in this case. "Time dependency" is just shorthand for order (causal) dependency in the physical world.