[galaxyLogic]

I think visual analogues guide abstract analysis of the analogues. In our brain we recognize shapes as similar whether that be visual shares or shapes of conceptual analysis. Category theory has an appealing visual base of links/arrows between things.

[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.