I'm not sure what to say, because I think we're just going to recycle what's already been said. Though you conceded (for the sake of argument), your example is not a concession. The example still assumes we have a
full explanation - not full as in 100% accurate, that's not what I mean, but full as in a working model that duplicates some of the significant activities we ascribe to humans - a robot that could write a critical review of
The Hunger Games, giving unsolicited commentary on the artistic merits of the literature and the film, pondering the moral and spiritual implications, assessing the cultural symbols that prompted it and the impact it will have on the way people view said symbols.
Does the lack of this robot prove a mind-body problem? No. Does it mean there possibly is one? Yes. But we've been over that.
... let's assume that I concede that no definition of what "physical" is has been sufficient or I agree with your definition of the word (that it can be at rest.) How does this relate to spirits or the body-mind problem?
It depends on who is answering and what they're answering about. For a vitalist, a transcendent mind is key to their world view. While I might consider a transcendent mind a possibility, I'm not really that hung up on it.
Spirit is more important to my view. The Bible claims spirit (
the Spirit, i.e. God) can do things we can't do. So, many people ponder what it is about spirit that allows it to do what we can't. Birds can fly and we can't (I mean that in the sense of flight unaided by a machine). In philosophical terms that is due to a "birdness" we don't possess. This "birdness" can be described scientifically in terms of aerodynamics.
In the same way, philosophically, God has a spiritual nature we don't have. Can that be described scientifically? Personally, I don't think so. But I won't stop people from trying. Maybe it will be fruitful for them to struggle with the problem.
Now, let's assume for a moment that I concede and agree that there is some apparent disconnect between what we know of the mind and what we know of the body. How is this related to the whole discussion of what is physical and what isn't?
I just saw John McLaughlin interview two physicists (who were pitching their new book). McLaughlin asked them if they thought intelligence could develop from dark energy (or dark matter). There was an instant, emphatic no. But they didn't really have a good reason why. Maybe there is one and it was beyond the scope of the interview, but the reply came across to me as pompousnous (Oh, what a silly question, old man) rather than a considered reply.
I thought it was an interesting question. I mean, why not? We don't even know what dark energy & matter are yet. We just assume there must be something there because it explains certain things about the universe. So how can we rule out the possibility that some intelligence exists somewhere within this undefined thing?
The same issue applies here. By my definition a photon would be non-physical (and maybe neutrinos if we ever get accurate enough to know them better, and maybe tachyons if we ever establish them as more than hypothetical). So, could intelligence form in something made completely of photons? Would it be inferior, equivalent, or superior to our intelligence? IOW could it do things we can't?
And the question extends on to the other characteristics of the non-physical that we haven't even gotten close to discussing.
Maybe you find all of that pointless. After all, in your mind we already have an explanation of everything human. But, we're not going to have any grasp on what nature the spiritual has that we don't until we successfully tackle issues of physical/non-physical.
I won't go into the many objections I have
Why not? As far as I'm concerned you can list as many objections as you please.