I think of agent-like architectures as something objective, or related to the territory. In contrast, agent-like behavior is something subjective, something in the map. Importantly, agent-like behavior, or the lack of it, of some X is something that exists in the map of some entity Y (where often Y≠X).
The selection/control distinction seems related, but not quite similar to me. Am I missing something there?
A(Θ)-morphism seems to me to involve both agent-like architecture and agent-like behavior, because it just talks about prediction generally. Mostly I was asking if you were trying to point it one way or the other (we could talk about prediction-of-internals exclusively, to point at structure, or prediction-of-external exclusively, to talk about behavior—I was unsure whether you were trying to do one of those things).
Since you say that you are trying to formalize how we informally talk, rather than how we should, I guess you weren’t trying to make A(Θ)-morphism get at this distinction at all, and were separately mentioning the distinction as one which should be made.
A(Θ)-morphism seems to me to involve both agent-like architecture and agent-like behavior, because it just talks about prediction generally. Mostly I was asking if you were trying to point it one way or the other (we could talk about prediction-of-internals exclusively, to point at structure, or prediction-of-external exclusively, to talk about behavior—I was unsure whether you were trying to do one of those things).
Since you say that you are trying to formalize how we informally talk, rather than how we should, I guess you weren’t trying to make A(Θ)-morphism get at this distinction at all, and were separately mentioning the distinction as one which should be made.
I agree with your summary :). The claim was that humans often predict behavior by assuming that something has a particular architecture.
(And some confusions about agency seem to appear precisely because of not making the architecture/behavior distinction.)