[heuroci]

I share your view on category theory and perhaps lattice theory as well. What I was trying to say is that before you can draw that analogy, regardless of what "shape" means to you , you have to construct the base shape.

Analogy to me comes after you have stabilized "shapes" where you can draw comparison between a new input a set of stable patterns at which point you can point out the analogy. Syllogism may be closely related/involved.

I am not disputing that being able to draw parallels and employ analogies are related to intelligence. I am just not so sure that this is how you can synthesize intelligence. It is all very complex of course, and there is a school of thought that cognition is very closely related to sensory and embodiment (i.e.: embodied cognition ).

I think Aubrey de grey switched from AI to longevity because he figured he will need a long life to understand intelligence :)

Personally, I am still working on it but had adjusted the scope a bit.