Hodges' Model: Welcome to the QUAD: nexus

Hodges' model is a conceptual framework to support reflection and critical thinking. Situated, the model can help integrate all disciplines (academic and professional). Amid news items, are posts that illustrate the scope and application of the model. A bibliography and A4 template are provided in the sidebar. Welcome to the QUAD ...

Showing posts with label nexus. Show all posts
Showing posts with label nexus. Show all posts

Sunday, February 15, 2026

vii Book: Bill Ross - 'Order and the Virtual'

'The Philosophy and Science of Deleuzian Cosmology'

On the publisher's site, the content listing is limited to the chapter (section) titles (as shared in iii). 

There is also one review:

'In classical physics and its mechanical paradigm, events are stories about fundamental objects. In quantum physics, it is the objects that are the stories by which we understand physical systems in their most fundamental form--as histories of events. In Order and the Virtual, Bill Ross makes a compelling case that the event-ontological philosophies of Deleuze and Whitehead will become for the new physics what the philosophies of Newton and Locke were for the old.'

 Michael Epperson, Research Professor and Director, California State University, Sacramento
[ https://edinburghuniversitypress.com/book-order-and-the-virtual.html ] 

It is worth listing the content details in full:

Series Editor's Preface vii
Preface by Robin Durie and David Webb ix
Abbreviations xii

Chaos I
Chaos and Complexity Theory I
Nietzschean Chaos and the Superior Principle of Sufficient Reason 5
The Eternal Return and the Disparity of Forces 8
Ergodicity and Infinite Duration 10
Post-Classical Physics and the Question of Entropy 15

2. Entropy and the Complete Concept in Leibniz and Deleuze 24
Dissymmetry, Energy Gradients and the Ultimate Origination of Things 29
On the Ultimate Origination of Things 30
From Many Worlds to Chaosmos 34
The Calculating God 36
Mathematical Thought, the Problem and the Cosmos 38
The Compete Concept and Disjunctive Synthesis in Sufficient Reason 44
Physical Systems, Disparity and Disjunctive Synthesis 50
Chaosmos as Cosmology 56
Absolute Zero, Limits and the Infinite 60
Simple Order 68

3. Order 71
Mechanism and Vitalism, Order and Complexity 73
The Game Analogy #I: Leibniz and Kant 81
The Game Analogy #2: Claude Shannon and Michel Serres 83
Game #2.1: Claudo Shannon's 'A Mathematical Theory of Communication' 86
Game #2.2: Michel Serres The Birth of Physics 94
Game #3.0: Deleuze's Ideal Game 98

4. Order as Complexity 109
Complexity as Principle 122
Limits without Negation 127

5. Sufficient Reason as Dissymmetry and the Evolutionary Paradigm 131
Limits and Non-Locality 135
A Network Paradigm: Loop Quantum Gravity 150
A Holographic Paradigm: David Bohm's Implicate Order I54
Evolutionary Expansiveness 161

Conclusion 175
Notes 182
Bibliography 207
Index 217

I can see why my reading of OatV is not at the usual 21st century pace. 'Section 2. Entropy and the Complete Concept in Leibniz and Deleuze', pp.24-68, as already noted, is a real melange of ideas from several sources. As noted already, you have to unpick Deleuze, Simondon and Ross's guiding thought. your reading and purpose also matters however; an amazing gift of texts like this.

'CHAOSMOS AS COSMOLOGY

If energy gradients are the sufficient reason of all that appears for ther- modynamics, symmetry is to most intents and purposes the sufficient reason from which modern physics draws its rationale. Mathematical relations of symmetry have come to take the place of 'law` in classical physics: where there is symmetry, science identifies an underlying order, As we shall see, however the point of contention between Deleuze and the prevailing scientific consensus is by no means so black and white. and far from universally upheld among the scientific community. Once again, it is in the particularities of this tension that productive exchange may be found.' p.56.

Leibniz's 'individual' (and monads) differs from that in Hodges' model, but there is the question of time and scale (at both ends of the vertical axis in Hodges' model):
'Each individual is in contact with, expresses, all individuals in the world, but obscurely, again, as with Leibniz, through infinitely ramifying lines of divergence.' p.54.

'Each individual, then, remains necessarily the sum of all its predicates, but in the same sense as a singularity contains its own power of expressing innumerable contradictions; here is Deleuze's 'object = x', the concept which overcomes the idea of world understood merely as a circle of convergence.' p.55.

Order and the Virtual

We often speak in terms of 'take-aways'. Ross provides a packed (yet nutritious!)  lunch and really useful snippets:

'Disjunction becomes a relation' (p.49).

Identity runs through section 2. Difficulties of orientation are noted. I wondered about a symbol for singularity, but I cannot find one(?). Ross, himself, describes as dense, Leibniz's essay on 'Origination'.

Is the nursing process, predicated up Aristotlean 'hylomorphism' (p.50)? To capture the (cognitive) orientation of an individual, do we locate the basis for the immanence of nursing, in problems that are potential, or actual?

Amongst, particle physics, absolute zero, a two-dimensional plane, and 'symmetry'; I found 'ill health'. At least, I did in a spontaneous pencilled note. And, nearby: 'Symmetry is Law'; (p.59)'.

There is grist-for-the-mill in producing new formulations for Hodges' model. Do 'non-commutative relationships, and vectorial transformations abound? (p.60)

Health and ill-health break symmetry (which Deleuze resists), and do so within and across all the domains of Hodges' model.

Ross quotes in Section 3 'Order', page 73 in Bergson's Creative Evolution (236): '[The mechanistic order] may be defined as geometry which is its extreme limit; more generally, it is that kind of order that is concerned, whenever a relation of necessary determination is found between causes and effects'. I could go on ... but scribbled 'cogeography/cogeographical'.

Many thanks to Edinburgh University Press for my review copy.

More to follow here ...

Bill Ross (2024) Order and the Virtual: The Philosophy and Science of Deleuzian Cosmology. Edinburgh: Edinburgh University Press.
https://edinburghuniversitypress.com/book-order-and-the-virtual.html

Wednesday, February 04, 2026

vi Book: Bill Ross - 'Order and the Virtual'

'The Philosophy and Science of Deleuzian Cosmology'

Over time I have equated the center of Hodges' model with a nexus. Framing the whole model as a chaotic system, comprised of four domains, with two (or more?) Lorenz attractors, how do we make sense of what is going on? 

A previous post visited this too: Threshold Concepts: Reflection on chaos, complexity and AI 

Reading Order and the Virtual the new vocabulary, provides glimpses. The perspectives I'm adopting are no doubt naive and favour my context. If we freeze the situation from the center - the nexus the variables, parameters are frozen within their respective domains and tracks around the attractors. They tell us little (now), for obvious reasons, but (with AI and) acknowledging the social and political is a huge step forward (in healthcare).

Order and the Virtual

'The word 'appetition' occurs not infrequently in Whitehead's work, though his own coining is 'prehension`. Both words convey essentially the same import. All individuals 'prehend' all others - the entire universe is expressed through the relations pertaining to any given individual therein.36 Prehension belongs cqually to the event as to the conscious decision. The 'nexus' or 'actual occasion' is the outcome of prior appetitive or prehensive enfolding for Whitehead as it is for Leibniz, and the aggregate of past prehensions shapes the future of the individual. The crucial refinement comes with the term 'negative prehension'. 

For Whitehead, accepting those same tenets that characterise Leibniz's metaphysics, the interconnection of all things and the tendency of systems to enfold elements from their total situation, negative prehension is a necessary corollary to positive appetition. It belongs to the 'principle of limitation' which Whitehead saw as a necessary supplement to Spinozist metaphysics, and which we shall encounter in some detail in following chapters.' 

It helps me, that Spinoza is heard here. 

'Instead of how is it that all things are interconnected, the question becomes, "Given that all things are interconnected, how is it that individuation is possible?'

Before recourse to Lorenz's butterflies, I saw 'oscillations', a constant swing from individual to other(s); then back again. 

`Every present state of a simple substance is a natural consequence of its preceding state, in such a way that its present is big with its future',37 (all p.47.)
While concerning a 'simple substance', is this a prelude to self-care and preventive health care?

I noted in pencil: In Hodges' model 'nexus' is framed as the now - that just was. Ross carries on to discuss 'the multiplicity of components in the nexus can enter explicit feeling as contrasts.' p.48.

Yes. 'The local and global are entwined' p.49; and now with the glocal too. Ross points out how Deleuze draws upon Simondon's treatment of the organic and inorganic within the same framework, p.50.

I've also been reminded about resolving some abbreviations:

https://hodges-model.blogspot.com/2025/07/axiomatic-simondon.html

Many thanks to Edinburgh University Press for my review copy.

More to follow here ...

Bill Ross (2024) Order and the Virtual: The Philosophy and Science of Deleuzian Cosmology. Edinburgh: Edinburgh University Press.
https://edinburghuniversitypress.com/book-order-and-the-virtual.html
 
 

Friday, November 21, 2025

Hodges' model - Locus of Care & Control?

Draft notes:

There are obvious geometric features (Stewart, 1981) in Hodges’ model. Application of the model is a holistic affair. The centre of the model is its centre (as a template), but in application it is not fixed. There are several degrees of freedom, determined by the context of application. Consider figures 4a, 4b and 4c. Perhaps it can be argued there is what amounts to a care locus? As Persons (2025) notes:
‘Primary care is considered the first line of defense in health care, and it is the locus of the maintenance of both individual and population health.‘ p. 15.

 Emphasis can be placed on selected domains, as the situation dictates:


Stewart, I. (1981) Concepts of Modern Mathematics, Harmondsworth: Penguin Books.

Persons, G. A. (2025). Health Care Safety Nets: Vital Participant Roles and Varying Policy Contexts. Phylon (1960-), 62(1), 5–30. https://www.jstor.org/stable/27396595

Sunday, August 24, 2025

Nothing new under the Sun . . .

"The quadrangle is the token of a new humanity. The square is to us what the cross was to the early Christians". 

Theo van Doesburg

Tate Liverpool visit 13th June 2008.

Saturday, December 17, 2022

Domain walls ...

"A domain wall is a type of topological soliton that occurs whenever a discrete symmetry is spontaneously broken. Domain walls are also sometimes called kinks in analogy with closely related kink solution of the sine-Gordon model or models with polynomial potentials.[1][2][3] Unstable domain walls can also appear if spontaneously broken discrete symmetry is approximate and there is a false vacuum.

A domain (hyper volume) is extended in three spatial dimensions and one time dimension. A domain wall is the boundary between two neighboring domains. Thus a domain wall is extended in two spatial dimensions and one time dimension.

Important examples are:

  • Domain wall (magnetism), an interface separating magnetic domains
  • Domain wall (optics), for domain walls in optics
  • Domain wall (string theory), a theoretical 2-dimensional singularity."

    https://en.wikipedia.org/wiki/Domain_wall


 INDIVIDUAL
|
 INTERPERSONAL    :     SCIENCES               
HUMANISTIC --------------------------------------  MECHANISTIC      
SOCIOLOGY  :   POLITICAL 
|
GROUP

conceptual spaces

threshold concepts

[#h2cm as] relational ontology

magnetism

optics

string theory

a space to tell stories of
and compare walls
seek openings
so many spaces of / to welcome

these walls:
are they necessary?
whose needs do they meet?
we know walls listen and talk too
who do they protect?
who do the respect?


Among the domain walls
are those that bring us together,
those that bring us - 'I' into being,
and yes, those that [try to] take us apart.


Inspiration:
Leslie Rosenberg, THE COSMOS IS MOSTLY MADE OF SOMETHING WE CANNOT SEE, Scientific American, January 2018, Volume 318, Number 1. pp.48-53.

Axioms, Domain Walls, and the Early Universe, P. Sikivie in Physical Review Letters, Volume 48. No. 17, pp.1156-1159; April 26, 1982.

Friday, September 18, 2020

Patients as Persons not Things: [Nursing] Theory - Practice

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




"Is there something perverse, if not archly insistent, about complicating things with theory? Do we really need anything like thing theory the way we need narrative theory or cultural theory, queer theory or discourse theory? Why not let things alone? Let them rest somewhere else-in the balmy elsewhere beyond theory. From there, they might offer us dry ground above those swirling accounts of the subject, some place of origin unmediated by the sign, some stable alternative to the instabilities and uncertainties, the ambiguities and anxieties, forever fetishized by theory. Something warm, then, that relieves us from the chill of dogged ideation, something concrete that relieves us from unnecessary abstraction." p.1.


 

My source:

Brown, B. (2001). Thing Theory. Critical Inquiry, 28(1), 1-22. Retrieved September 18, 2020, from http://www.jstor.org/stable/1344258

Friday, August 17, 2012

Context, locus, photos and festival-non-goer (Ack. FT)

In the Financial Times, Life & Arts section, June 23/June 24 2012 Francis Hodgson wrote Hocus-focus about the 15th PHotoEspaña festival.

The curator Gerardo Mosquera introduced the broad theme of the festival -

From Here: Context and Internationalisation

- which Hodgson feels provides 'no secure binder between disaprate elements':

' "Context," he writes opaquely, "has ceased to be a 'closed' locus linked to a reductive concept of what is local; instead it is projected as a space from which international culture is naturally constructed."
Apart from giving a broad hint that pictures will come from around the world, I'm not sure that is much help for a festival-goer.' p.10.
Although I'm a festival-non-goer in this case and my access to the images is limited to the three published in the FT and online, I wonder if a link here is the interposition of local and global? The conurbation that can be described as glocal? This is what that single sentence says to me.

In accord with our economic times the festival website notes that:
PHotoEspaña has cut its budget by 25%. The public-private partnership model has been adapted to ensure a broad-based programme of exhibitions and activities.
In this sense here at least art reflects health care. The reliance on partnership, overcoming constraints whilst providing an experience that coheres.

25%
This context.
One care domain.

Which domain do we cut - the interpersonal, the social, political, the scientific? Do we vary the top-slicing across the domains? In health too we must grasp what is local, global and glocal to us.

Wednesday, December 02, 2009

h2cm - Being at the center of things [I]

The center of Hodges' model can represent many things:

an epistemological nexus for the transdisciplinary dependencies of our times
multidisciplinary coffee shop

self-care engagement stage

the chaos of all things
holistic harmony
integrated idyll*

More down to Earth and acknowledging this cruciform '+' structure as a mythic device, in addition to searching for the mysteries of the universe at the center we can also place the 'well' person there.

As the previous post on ADLs suggests the 'well' person can function on a basic level and has negotiated the four axes and the four and five fold knowledge domains. They can therefore be considered (sufficiently) wholly integrated. We are all travellers, constantly traversing these domains of experience consciously, unconsciously, expertly or with the awkwardness that denotes the novice.

Conversely and reflecting the model's utility: it is also possible to locate the unwell individual in the center too. In this instance the placement suggests impoverishment of experience, ongoing personal and social stasis and in the case of substance misuse the presence of specific disruptive focus and preoccupations. The person becomes lost to their potential, stuck in a 4:5-fold minima. They continue to travel chronologically, but the journey is spiral, self-iterative and diminishing by return.

However: what you can see you can change, or come to terms with.

*from Greek eidyllion, little picture (h2cm as a snapshot).

Original image source: http://www1.lsbu.ac.uk/water/protein2.html