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Neuronal Networks are for some reason the optimal medium for intelligenceNo, that's not the same 'intelligence' ("General Intelligence") as the "I" side in Artificial Intelligence.
The term 'intelligence' applied to Artificial Neural Networks makes sense, as such: to reach a procedural solution it takes an engineer; the engineer is said to have reached the solution because "intelligent"; ANNs are (semi-)automated builders of function approximators; ANNs are said "intelligent" because they "reach solutions" (like the engineer would have done - "approximator":"engineer"="Artificial":"Natural" Intelligence). And of course they are not "intelligent", while they are in some sense. It's just an expression, it's rhetoric (it requires considerate interpretation).
That some sort of "intelligence" is achievable in other ways, or that ANNs spawn as an idea from anatomical considerations of naturally intelligent entities, or that ANNs could help in modelling general intelligence (etc.), is tangential.