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