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.

Is the Individual-Group axis health's proscenium arch?

Speech: “All the world’s a stage”

By William Shakespeare
(from As You Like It, spoken by Jaques)

          

     All the world’s a stage, 
And all the men and women merely players; 
They have their exits and their entrances; 
And one man in his time plays many parts, 
His acts being seven ages. At first the infant,
Mewling and puking in the nurse’s arms; 
And then the whining school-boy, with his satchel
And shining morning face, creeping like snail
Unwillingly to school. And then the lover,
Sighing like furnace, with a woeful ballad 
Made to his mistress’ eyebrow. Then a soldier,
Full of strange oaths, and bearded like the pard,
Jealous in honour, sudden and quick in quarrel,
Seeking the bubble reputation
Even in the cannon’s mouth. And then the justice,
In fair round belly with good capon lin’d,
With eyes severe and beard of formal cut,
Full of wise saws and modern instances;
And so he plays his part. The sixth age shifts
Into the lean and slipper’d pantaloon,
With spectacles on nose and pouch on side;
His youthful hose, well sav’d, a world too wide
For his shrunk shank; and his big manly voice,
Turning again toward childish treble, pipes
And whistles in his sound. Last scene of all,
That ends this strange eventful history,
Is second childishness and mere oblivion;
Sans teeth, sans eyes, sans taste, sans everything.

Source: https://www.poetryfoundation.org/poems/56966/speech-all-the-worlds-a-stage

TIME FRAMES

'As Shakespeare and his contemporaries wrote for the epic scale, the imaginative commitment and the 360-degree embrace of the Globe so, three hundred years later, generations of playwrights wrote for the velvety darkness, the enclosed acoustic and the picture framing of the proscenium arch.

For a century, the story of the changing world was told inside proscenium theatres, by a series of remarkable playwrights. In over sixty irreverent, illuminating pen portraits – of both famous giants and lesser-known talents – Dominic Dromgoole takes us on a journey from 1865 to 1965, revealing how these writers used the framed stage to reflect the social upheavals of their times.' 

This post began with: 'All the world's a stage', but I realised I'm no Shakespeare. Hodges' model is a frame; and users of the model can put it to work, readily. Be that in the sciences, arts, and across curricula. The 'arch' in Hodges' model appears to be inverted, working from within, rather than out. Similarly to the proscenium arch, however, the model provides a structure, for whatever performance, situated, will surely follow.

Hodges' model: Axes and Domains

Of course, the question posed here might be re-framed as: 

Are the axes of Hodges' model, life and death's proscenium arch?


Dominic Dromgoole (2026) Time Frames: A century of proscenium playwrights. London: Faber. 
https://www.faber.co.uk/product/9780571374113-time-frames/ [Text source].

Previously: 'drama' : 'stage' : 'frame'

The INDIVIDUAL ↔ GROUP axis

Looking at the axes of Hodges' model, specifically the INDIVIDUAL ↔ GROUP axis, I realise (as ever) there's more than meets the eye. 

The labels for the axes are placeholders. To a certain degree they are open, flexible. In the template (link and figure in the sidebar), the what should now be familiar labels are provided for guidance, and convenience.

The care, knowledge domains can be viewed as giant - compound placeholders, even as an opportunity to abstract away a lot of detail. In care delivery, as we concentrate on patient care, , clinical interactions, procedures ... we tend to do this in political terms. Until that is, we are jolted to the wider situation and the true realities of policy, law, and practice.

While the HUMANISTIC ↔ MECHANISTIC labels are fixed, I've often shown how the I ↔ G is itself situated, so you could variously have (titles & names to follow...):

person, self, I, individual, client, patient,
carer, student, nurse x, dr y, allied health z ..

|

nurse .., husband, wife, partner, kin, couple, guardian, friend, family, team, group, community, region, nation, populations, Planet

Usually, what we have is a ONE-TO-MANY relationship, that is 1:N.

In Hodges' model can we also say that the team is the 'individual' and the organisation the group?

Another thought regarding self-care. ... Some times this state might be concurrent with being a patient.

Part of the journey in a patient's recovery. But at some point the person does not need a professional and is indepedently self-caring. Care episodes are not what they used to be. Although when 'true' self-care is achieved, it might appear One-to-None, but this is not correct. Not correct, that is, if we can credit society acting as a safety net. Usually, it would be One-to-Family; if there is no family, then the One-to-Community should (must) be the placeholder of choice.

On self-care, and the vertical axis of Hodges' model, is this also a way to define sustainable health and social care?

See also: https://hodges-model.blogspot.com/2025/10/l-shaped-model.html

Triangulation: When is a light an axis?

 

...when there are two lights ...

32c St. Joseph single
https://postalmuseum.si.edu/object/npm_1996.2066.165

See also:

https://en.wikipedia.org/wiki/St._Joseph_North_Pier_Inner_and_Outer_Lights

 

The Body and the Space - GIANNI COLOMBO

individual

|

INTERPERSONAL : SCIENCES

humanistic --------------------------------------- mechanistic

SOCIOLOGY : POLITICAL

|

group

MIND

BODY

My source: Exhibition notice by ROBILANT+VOENA in FT Weekend 2015

Photo source:
http://www.archiviogiannicolombo.org/en/portfolio-category/conceptual-en/

Books: Context, Subjectivity, Individuals and Axes (of Learning?)

individual
|
INTERPERSONAL : SCIENCES
humanistic --------------------------------------- mechanistic
SOCIOLOGY : POLITICAL
|
group

The learner's intentionality is the axis from which the context can be interpreted as unified lived experience, making sense of the multiple interactions between people, and activities and resources. A context is always "local to a learner", since it consists of an individual's subjective experience of the world, that is always ...	spatially and...
historically situated (Lukin 2010, p.18). p.335.

References

Above from:
Esposito, A., Sangrà, A. and Maina, M. (2015) Emerging Learning Ecologies As A New Challenge and Essence For E-learning, Chap. 24 In Badrul H. Khan, Mohamed Ally (Eds) International Handbook of E-Learning. Volume 1, Oxford: Routledge. pp. 331-341. (p.335).

Lukin, R. (2010) Re-Designing Learning Contexts - Technology-Rich, Learner-Centred Ecologies, Oxford: Routledge.

Learning ecologies is an approach to educational theory, practice and technology enhanced learning that I can relate to through Hodges' model and a general interest that extends to green matters and blue...

This is a fascinating chapter by Esposito, et al. (2015) that includes keystone species who have the architectural function of a keystone (p.333) to: (my rendering follows)

provide critical resources	modify the environment
act as mutualists	control potential dominants

In the discussion the role of keystone species is attributed to librarians. To modify the learning environment and community the keystone species would need access to the necessary processes, procedures, time and place. So to the right of Hodges' model we find what is mechanistic: rules, authentication, privileges, sanctions, passwords, accounts...

On the above left as an example, communities of practice rely on mutualism for their sustained existence. It is the individual (student) as the (usual) unit of analysis who is making use of the resources.

Musings... axes in hand and mind

...

Axes in hand and mind
[Accounting for the I-G (individual-group) axis and the need for the H-M axis]

Clearly there is a need for a basic scaffold. One that reflects the real world and the real time to which we are all exposed and are a part; and one that can also represent the model(s) we wish to create - the products of our health care, nursing activities. The scaffold we build must be one on which we can hang concepts and for simplicities sake human (care) concerns. Specifically a conceptual scaffold and a human scaffold. The latter can be represented simply as a continuum from INDIVIDUAL to GROUP, hereafter referred to as I-G.

The other, the conceptual scaffold, calls for what might be termed conceptual inflation. If we imagine the I-G as the vertical challenge (remember the health & safety issue!) and draw with the 'individual' at the top, then there is much we can model based on this basic dichotomy. This is too simple however. We cannot capture the part of the rich tapestry that is life - well-being, health - and death. For this another axis is needed.

(Which begs me to ask myself:

is there a law that suggests that one axis however oriented invites another?)

With this further partition and heralding of a further dichotomy what is lost? What is gained, if anything? In scribing this first line we explicitly separate the 'one' - the self from the other. The addition of another axis is where and how we define a center. With this center and from it we can find the energy to fuel our conceptual inflation. We literally draw out the foundation by considering what these persons do? ...

Conceptual inflation: Four-fold nursing agnostics
...
PJ Dec 2010

What Complex Threads We Weave

Two thoughts spring to mind when I look at h2cm's axes - INDIVIDUAL-GROUP and HUMANISTIC-MECHANISTIC. I wonder where they end and what does where mean exactly?

These questions prompted the combination of the model's axes and the care domains into a 5th domain: the spiritual. Could there be another view of this? Is it sensible to consider that a care concept lies at certain point on the individual axis for example? How does this relate to the mechanistic axis? Maybe this asks too much of what is a model to simplify complexity? Do these axes run-off forever? Do they join up at infinity?

When we think of 'where' we tend to think in concrete (literally) terms. But where are you on this image?

Although this marvellous picture of the analemma helps extend our (physical) notions of where, this photo has its limits in that it captures the view from a certain latitude (a specific context). There are others. Our Earth bound sense of place takes on S-N-E-W, but if we travel far enough ....?

The mobius strip is an object of delight.

Perhaps unknowingly we are all topologists...

Happy equinox! WherEVER you are.

(Holistic care 2 will follow - time wise having to rely on draft post bank)
Analemma image credit: Anthony Ayiomamitis