Questions in eclipse

 Last Friday 9th I had a Zoom chat for 30 mins, regards Hodges' model with faculty in the USA.

We touched upon:

• background to Hodges' model
• courses taught across the water and interests
• overlaps, inc. person-centered care - socio-technical
• informatics & literacies
• maths/logic

As an outcome it was suggested I forward some questions I'm currently of Hodges' model. Questions that for me, are challenging, put me in the dark, and may not even be valid?

Going through my draft notes I picked out 20, beginning with the working title:

Hodges’ Model as a mathematical object and relational ontology:
category theory or category mistake?

1. Can it be argued there is what amounts to a care locus - that can 'locate' person-centredness?
   
   
2. Can the model's domains be seen as functions?
   
   
3. Are the domains placeholders?
   
   
4. Is there a case to test, and if logical implement co-domains (e.g. parity of esteem)?
   
   
5. Are there other 'structures' in Hodges' model,  for example L-shaped forms, that is relations that involve three domains and (seemingly) omit one?
   
   
6. Are there practical - case studies - that can be associated with such structures?
   
   
7. Can Hodges' model be considered as a single conceptual space (Gärdenfors), or a series of four? (blog posts)
   
   
8. Can Hodges' model be used to identify and apply threshold concepts (Meyer & Land)? (blog posts)
   
   
9. Can we argue that the structure of Hodges’ model as defined by the axes extent, provides and invites inverse relations?
   
   
10. Is Hodges' model as a structure only (a template) equivalent to an empty set (empty set as an initial object)?
11. Is this a mathematical analogue (being neutral) to a practitioner's unconditional positive regard?
    
    
12. Taking its axes and four (care/knowledge) domains can Hodges' model be reduced to a graph?
    
    
13. If Hodges' model acknowledges/incorporates Cartesian duality, are there Cartesian products?
    
    
14. In these Cartesian products are critical operations, e.g. relating to psychotropics - physical health; eating disorder - physical/mental health; complex emotional needs - policy (evidence-based care)?
    
    
15. If the model is inverted, mirrored ... what follows: is the structure - function - consistency retained?

    
    
16. Is Hodges' model 'closed' in comparison with Buzan's (open?) approach to mind-mapping?
    
    
17. There is an 'equation of time': is there an 'equation of care'?
    
    
18. Thought experiments: (semantic distance... cognitive linguistics)
    
    

    Which concept (INTERPERSONAL :: SCIENCES) is closer to the ‘INDIVIDUAL’ axes; which is closest to the ‘GROUP’ (SOCIOLOGY :: POLITICAL)?

    
    

    Which concept (SOCIOLOGY :: INTERPERSONAL) is closer to the HUMANISTIC axes; which is closest to the MECHANISTIC (SCIENCES :: POLITICAL)?

    
    
19. Role of 'types' in Hodges' model - that is, patient / model as a whole as objects (with identity)?
    
    
20. What significance can be gleaned given commonality between several mathematical terms, e.g. group, object, (co-)domain and Hodges' model?

I can no doubt structure - group these questions, and I've not picked out many concerned with Hodges' model as a set, or, as yet, those venturing into category theory. I am wondering, what the commutative law might tell us about holistic, integrated care, and parity of esteem when applied through Hodges' model? Also refining 3-4 case examples to explore and illustrate the same?

While it is maths that prompts this diversion, perhaps ultimately health care disciplines can determine its own formal approach that can produce its own context-sensitive rules, that straddle mathematics/logic and the humanities?

In initial emails, I'd noted the forthcoming eclipse across the USA. Checking, my interlocutor is just N of the path of totality (I wish!) for April's total eclipse. I'm enjoying the darkness here too.

https://science.nasa.gov/eclipses/future-eclipses/eclipse-2024/where-when/

#TotalEclipse2024 #SolarEclipse2024