Hi Lorraine,
thanks for your reply. Indeed, it is important trying to sort out facts from fiction. I totally agree.
But I would like to apply that also to what you call "physics". All we have in physics are patterns. Mathematical patterns and patterns of behaviour. And we have explanations that use terms (symbols) which point to things that we not really understand, for example "particle", "energy", "time", "space", "information", "number". In this sense we permanently handle partial unknowns - and thanks to the fact that these terms relate to the external world via patterns that everybody can see and prove to be existent - we are in the situation to calculate with them and get reliable results, although we are calculating with partial unknowns.
This calculating with partial unknowns surely can and does also happen when the brain processes internal information, means when it examines beliefs, hence unknowns, to find out their truth values. It is surely true that these "unknowns" are not the same as "nothing", they are not placeholders but surely can be understood as codifications, as high level symbols. It is also true that in my example with Galileo Galilei, for coming to his result he had to use some physical terms (symbols) like for example force and weight that had not been internal confabulations of his brain, but did come to him from the external world. But force and weight are mainly quantitative measures of something he at his time couldn't further specify, and in this sense they had been unknowns for him. Nonetheless he arrived at the correct result.
Leaving aside scriptures about God, we can surely think about what the possible consequences could be if such a God did exist. We can do this in the same way as for example thinking about what the consequences would be if the universe would be infinitely old (as some people believe).
If we for example scribble a time-line on a paper with a point somewhere on it that symbolizes our present (here and now), then for a universe that is infinitely old (always existed) this time-line is infinite in the left direction (in the past direction). We now can ask if such a belief in an infinite linear time does make sense or not. If we would like to trace this line from our present back to the left, we logically couldn't come to any starting point of that time-line since it continues infinitely long to the left.
If we now additionally think that this universe and everything in it evolves according to strictly deterministic laws and causes, then - as a matter of fact - at the point on our scribble (our present) parts of the matter in that universe deterministically formed our known patterns (humans, planets, suns). But how can that be, since a strictly deterministic chain of events necessarily had to have needed an infinite amount of time to arrive at our present moment - and therefore we and our world logically could never exist? The only answer I know to this is that in such an infinite universe there would be surely no single distinguished point where our present had to happen on that infinite time line, but there had to be infinitely many such points: in other words there had to have happened infinitely many exact copies or our known universe in such an infinite past. Including the exact copies of you and me with the exact same conversations.
One now can believe that this is the scenario that really describes the course of events in our universe - or one can decide to drop one of its assumptions, either that strict determinism is all there is to explain all events or that time is something that did exist always in the past. Surely, when doing such a line of reasoning, I have to operate also with "knowns" and not only with unknowns. For example I must assume that what mathematics says about infinities is true, complete and reliable. And I must interpret the term "time" such that causes are always prior to their effects.
IF I now would additionally bring in what your main point is - on which I agree with you -
namely that
"This "discriminat[ion] between it's parts" aspect is the consciousness/ knowledge/ logical/ information aspect of the world that is experienced by agents: it can't be represented by equations."
THEN I would conclude that I at least had to drop the assumption that strict determinism is all there is to explain all events in the world.
But there will be people that do not agree with you for several reasons. Let's only focus on those people that do not agree because they believe in the above mentioned strict determinism. For me it is logical that they then had to drop the assumption that time is something that did exist always in the past - IF they do not agree that a universe that is infinite in time has already produced infinitely many copies of our universe and will proceed to do so (no escape here for people that believe in a "Big Freeze" of our universe in the future, since in an infinitely old deterministic universe that already must have happened and that would be in contradiction with our present facts).
There are quite a lot of IF...THENs in my considerations. So here is another one:
IF human thinking and consciousness is exclusively only the result of deterministic physical processes, THEN only some complex "information" processing (brains) can use IF....THEN logics to determine the consequences of some unknowns. But wait a minute, according to that strict determinism, already all mechanical parts of what you have called the "perpetual movement machine" act according to that IF...THEN logics, since they are thought of as permanently determining the consequences of some unknowns. The unknowns are the "numbers", or likewise the positions and momenta etc. Neither these mechanical parts know these values, nor do humans know these values. Hence, what these mechanical parts do does not depend on any knowledge. But nonetheless, IF position and momentum of X is such and position and momentum of Y is such, THEN A and B happens if both meet.
Now the strict determinist would say, wait another moment: for all the mechanical parts there isn't really such an IF...THEN in our world, since whatever these mechanical parts have done in the past and will do in the future, all this is completely determined - and consequently also all my lines of reasoning and the accompanying emotions I have.
I say IF that would be so, THEN the assumption that
"only some complex "information" processing (brains) can use IF....THEN logics to determine the consequences of some unknowns"
must be false since there wouldn't be any "IF....THEN logics" anywhere, not even in the human brain. The contradiction here is that one can come to that conclusion by directly using that "IF... THEN logics.
Notice that the reason for that contradiction is that we can handle counterfactuals as if they where facts. Galileo did this and we can too. Now, a counterfactual in my brain is not only a counterfactual, but also a fact - since it is in my brain. So we can simulate something as if it where real, whereby the simulation is indeed real. So a strictly deterministic world then is able to simulate some things AS IF they would be parts of that world - but aren't. In fact, that's what brains do strikingly often.
The crucial point now is in my opinion that this behaviour of brains obviously is goal oriented - by using counterfactual simulations brains try to determine some facts, they try to sort fictions from facts. Therefore the big question is why a strictly deterministic world at some point in time aims to know what are facts about itself and what are fictions. If one assumes a strict determinism to be true, then brains are part of that. Why should these brains trying to sort out fictions from facts, something that must be considered as goal-oriented? All this happens in an assumed-to-be deterministic world where it is believed that there cannot exist any goals at all in it.
Dear strict determinists, please do not confuse natural selection (survival etc.) with your strictly deterministic world to explain why brains try to sort out facts from fictions, since within the framework of strict determinism, natural selection (survival etc.) with all its effects that have happened in the past was strictly determined: it can only be furthermore interpreted as a selection process if one would bring in some (goal-oriented) conspiratorial elements that aimed to make that selection process happening at the very beginning - and hence would necessitate such a beginning (initial conditions etc.). Or one is forced to believe in the above mentioned universe that is infinite in time and therefore has enough time to assemble anything that is physically possible in principle - infinitely often.
So the next questions are: is there any evidence for or against such an infinite deterministic time-line? If the world is strictly deterministic, then neither particles nor human beings need any knowledge to be what they are and to act like they do.
Why is there nonetheless some knowledge existent and what does it mean that it nonetheless exists? If it's existence only means that it exists, then also the existence of a strict determinism only means that it exists, what amounts to the conclusion that everything really means nothing - what would be another astonishing piece of knowledge possible in our universe.
If everything means nothing then there are no reasons to stick to any kind of world view. Nonetheless people don't stop to stick to world views, not even strict determinists. So obviously these world views mean something to them such that they can't skip them: they stick to counterfactual meanings and at the same time affirm that counterfactuals have no place in the world!