Dear Michael,
Thank you for taking the time to read and comment on my essay. I've read your essay and found it VERY interesting... I will post my comments on your essay's thread soon.
IDAA makes a less interesting acronym than ISAAC, but I agree with you it's a better term. I like "domain", it's better than "set", that has a particular limited meaning in mathematics. And "computation" might be too restrictive. "Abstraction", as a generic term, is probably the best --- better than mathematics, better than computation, and I think better than "idea"... The term "idea", although it was used by Plato in a very abstract way, has the downside of being too tied, for most people, to a pre-existing mind that has an idea, while in your essay, minds are a particular type of ideas... The words we use are quite a challenge when we want to talk about philosophical/metaphysical issues that transcend our everyday experience, and it's probably why most people have a hard time understanding each other when dealing with these issues...
I also agree with you that completely chaotic areas within the Maxiverse of all abstractions are not perceivable and therefore do not have a meaningful existence. What I worry about when I think about the Hard Problem of Lawfulness are the PARTIALLY chaotic areas that could still contain minds, and in which those minds would experience partially chaotic dream-like shifting realities. For each mind that "activates" ideas that correspond to "reasonable and stable" worlds, there should be many more that activate ideas that correspond to partially reasonable and stable worlds. Why then is our (waking) experience so implacably ordered, why is the world so "robust"? I am looking towards some kind of "co-emergence" of physics and observers, but these are only rudimentary ideas, I still don't have a good answer to the Hard Problem of Lawfulness!
You mention that ideas that Mind/minds activate must "mesh" with other ideas, which is pretty much what co-emergence is all about. We certainly share very similar questionings and very similar tentative answers, and that's why I found your essay so interesting and thought-provoking. More to come (probably tomorrow) on your essay's thread!
Marc