Where is the Centeredness of Care?

In trying to see Hodges' model anew, which is quite a challenge after four decades; what of the model's structure?

It is easy to get carried away with mathematical terminology:

One line, add another, and they intersect, at a 90 degree right angle. So is centeredness to be found at the intersection point? 

If I'm tying myself up in knots well there's another possibility! 😉 

As a whole it appears the axes of the model are a manifold and not - in the center?

What do you think?

See also: 'What Is a Manifold?'

https://www.quantamagazine.org/what-is-a-manifold-20251103/

Interesting ... 'Incidence structure(s)'

Unsurprising, in studying 'Hodges' model, I've been aware of Wilfrid Hodges and model theory for many years.

Now, trying to look at (Brian) Hodges' model using maths, I've wondered about possible connections with Wilfred Hodges' work.

Dr W. Hodges was listed in searches on lines, axes, and structure:

'Algebraists and geometers like to classify structures by the laws which they obey. A typical law for incidence structures reads:

"For any two different lines L and M, there is exactly one point which lies on both L and M."'

My imagination may be getting the better of me, but there seems something profound in the intersection of the model's two axes and the care - knowledge domains that are created (proposed - adopted..)?

So, is Hodges' model a form of 'incidence structure', or does it contain several incidence structures? 

Hodges, W. (1985). Truth in a Structure. Proceedings of the Aristotelian Society, 86, 135–151. http://www.jstor.org/stable/4545041