Comment by StopDisinfo910

I am confused by both the article and the discussion and I don't mean confused by the discussion on the complex which is all fairly clear but by this very weird idea of essential structure whatever that's supposed to mean. I'm wondering if there is something cultural here (I'm French) and linked to the central place algebra has in our curriculum or if I'm just reading a lot of IA generated convoluted discussion.

To me, the question doesn't even make sense. There is no disagreement here and I don't understand what is an essential structure. All the properties presented on the complex are consistent. They all exist. There is nothing ever essential about mathematics.

I mean, it's just mathematics. As long as you are internally consistent with your axioms, things just are. It's like asking if water is a liquid or a collection of molecules. There is nothing to disagree about here.