Processing information with motifs
The axiom of identity states that For any "thing" (A = A) & (!A ! = A), which means that a thing is itself and not what its not. this is ubiquitous about nature and as we will see also expresses itself among the distribution of natural things as patterns. it is important for us in the field of AI because it introduces a complement to the hebbian factor which is that that things seemingly not related actually correlate. if A = A represents the hebbian factor (a thing is coincident with itself) then the other part would be !A != A (a thing is not coincident with what its not). But we see some more information than that last present in the complement. It fully contains all those elements found in A=A within its structure, i.e there are two A's in its expression as well as an equal sign. This should lead us to need to express it more appropriately as "a thing is coincident with those things that are not coincident with itself" . but that does not make full sens...