When here is someone enjoying theory fundamentals, I was always wondering why the solution for "halting problem" could not be to create a copy of the system -give it a run with suspected inputs and original system would observe the copy executing and at some time would stop that - quarantine simulation basically.
As for the game system, I think it is worth trying, I also have been trying and now naively think I have structure that might do that.
Regarding blending elements into more abstract higher level quality I think "design of experiment" approach might be utilized.
Basically it is a sum of energies of elements and interactions between them each weighted depending on considered quality. Each object would be set of qualities . Qn= x*A+y*B+z*C +g*A*B+d*A*C....+w*A*B*C
Funny thing is each culture or style might have different coefficients- as they face different environmental (and other) challenges thus values slightly different things.