Euclidean or Projective Care?

How many dimensions does a written - narrative record have?

Sketching out some ideas, I asked the question on Google and as usual an AI Overview response followed - snippet:

AI Overview

A physical written record has two primary spatial dimensions (length and breadth/width) as a flat document, or three dimensions (including thickness or depth/height) when considering its physical form or binding. [1, 2]

In archival and Records Continuum theory, a written record exists dynamically across four conceptual dimensions: [1, 2].

I put the question to the Records Management list with the above snippet and received several useful suggestions and sources. Perhaps I can share that at a future point? 

Acutely aware of not pursuing maths and category theory for its own sake, the query was driven by an attempt to look at Hodges' model in mathematical terms. Starting, rather obviously with the models structure and axes. When the model is assembled, as per many posts, the vertical axis:

INDIVIDUAL
|
GROUP

- shouts out the issue of parity and the distinction between mind and body. It does this at the individual and collective level. If we were to draw a silo, a cylinder springs to mind, and there are specific reasons for silos adopting this shape. Descartes gives us the perfect excuse, in the ongoing legacy. 

     Mathematical Visions

The question above came up from Joan L. Richards book 'Mathematical Visions' (c/o Lancaster Univ. library). Euclidean and the emergence of projective geometry is described. There is an interplay between 2D and 3D representation, that made me think about the health record and its dimensions. Not in a dataset sense (multi-dimensional), more generally and concretely(?). A patient's record on paper has physical dimensions (A4), there is a flow. An EHR has its virtual dimensions (discuss!). Abstractly the content is a time machine. At some point in a health encounter it is a literal 'history', the level of detail in accord with the context. The record might present the problem, premorbid situation, diagnosis, current state, observations and prognosis and much more.

I can revisit this, Richards provides a series of figures. We progress from two distinct circles (my silos) through to examples with a discussion of continuity and projection that sees the circles touching, then intersecting. This is a radical axis.

Richards, Joan L. (1988), Mathematical Visions: The Pursuit of Geometry in Victorian England, Boston: Academic Press, ISBN0-12-587445

Book cover: Amazon.