Hodges' Model: Welcome to the QUAD: Leibniz

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 Leibniz. Show all posts
Showing posts with label Leibniz. Show all posts

Sunday, March 15, 2026

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

 'The Philosophy and Science of Deleuzian Cosmology'

So much of what we experience is nuanced. What was conscious thought, becomes tacit knowledge and unconscious. Is that consciousness nullified as Ross writes on page 76? I wrote a note 'reflection as hesitation'; also prompted to think about intution (p.83) and our word uses in 'retardation' (which here is no problem at all - in physics and complex sciences/systems. Again the 'principle of least action' arises (p.82). With more physics and cosmology to follow, it helps a little that 'manifold' has landed begging to be understood across the contexts. Bill Ross notes how Delueze and Michel Serres used the game metaphor [Game analogy #1]. Again, lifting this to a scribble 'Health-Illness is quite a game'! This will be the subject of a post soon. In England at least the law and manifold on health (being productive) and illness has been utterly disrupted. The game-table has been kicked over, by those in society who still able? New spaces, and canvases are needed. Kantian thought and interpretations are added to Leibniz. A heady mix but clearly essential as Bill Ross's critique is developed. 
 
The book was a must-read, as in the contents: Complexity (with a presentation next month), cosmology, Serres, and Claude Shannon. In Game Analogy #2, "Communication is understood here to encompass much more than meaningful exchange; all phenomena 'communicate'". p.85. I couldn't agree more with with these 'games', this thought being 'situated within the purchase of information theory' (p.86). Bizarrely (or not), in the same year two papers:
Jones, P. (1996) Humans, Information, and Science, Journal of Advanced Nursing, 24(3),591-598.

Jones, P. (1996) An overarching theory of health communication? Health Informatics Journal,2,1,28-34. 
Ross explains the global view of Michel Serres when it comes to 'information'. This entranced me, and I only scratched the skin:
Jones, P. (2008) Exploring Serres’ Atlas, Hodges’ Knowledge Domains and the Fusion of Informatics and Cultural Horizons, IN Kidd, T., Chen, I. (Eds.) Social Information Technology Connecting Society and Cultural Issues, Idea Group Publishing, Inc. Chap. 7, pp. 96-109.
Here there's a pointer to the cosmology to follow - Ross is true to the title. I have let most of the Astronomy Yearbooks go, but retain a few. Not just for key birth-years, but articles that are well written and researched historical snapshots. Here, Bill Ross discusses the game of Cepheid variables and their significance in mapping the universe. Truly, fascinating. Weaver's three levels of salient action are listed. Threads are tied too, with conclusions offered. These rules are reappraised, physics ever present. In light of one of the above papers I should revisit Serres, and Leibniz; the search for 'overarching explanatory power' (p.91) is ongoing. This game draws on Serres invitation to imagine a diagram, a network of nodes, channels, and propositions. This tabular formulation and its relations for me, spans the history of economics (Quesnay's tableau), the current state of economics (human values), and next (mathematical?) steps for Hodges' model. So many questions here: surely node  can't be an axis? I felt like Hansel, picking up sweets, Cartesian lines, scalene forms, thresholds, coming across hoops to jump through through to terminal equilibri. As you walk the sound of the thalweg, downstream... where Bergson features once again.
 
Reading Ross, over several months coincided with several key themes gaining in personal coherence. Bayesian ideas as might be applied to Hodges' model, even if in a naïve way (c/o feedback on draft notes). The remainder of chapter 3 includes time (thought), percept (space), to close with Deleuze's Ideal Game. I looked up Cortázarian Hopscotch https://en.wikipedia.org/wiki/Hopscotch_(Cort%C3%A1zar_novel), as the preface is titled. Ross reflects on the Ideal Game (does it exist, for Deleuze, only in thought?), and the distinction between 'domestic' chance (Baysian) and radical contingency belonging to the clinamen. In response to 'physical action and and the thought being on the same continuum', don't ask (please!), but I scribbled: 'corridor care' - a dangerous game, far from ideal. Plus, bird's using quantum entanglement to navigate. 'Kant's chaotic manifold', I will also investigate for next month(?).
Chapter 4 'Order as Complexity' proved most relevant. Every page is touched by graphite.

Deleuze has a 'blind spot' (p.111), something that Hodges' model seeks to ameloirate. But then of course at the model's center (nexus - as noted) that decussation of the axes invites a darkness of its own. If Hodges' model assists forethought and foresight  While inviting complexity, this interdisciplinary palette can also facilitate trandiscipinary sense-making. 'Magnitudes of intensity' reminded me of logarithmic thresholds within our perceptual apparatus. This is like reading Serres. A flow of punctum, simultaneity, delay (again) but its contribution to causal series, and Aionic time. I was taken (frequently)  to plane, person, personhood, chronicity, scales, local to global to glocal.

There is a 'corner' amid those thousand plateaus. n.b. to self - 'triangulation always needs one other'. I cannot resolve the frameworks as yet, scientific - otherwise or otherwhere; but you can take flight from here. Physics takes it place as 'complexity begets complexity'. Bill Ross utilises well-recognized sources, Penrose, Kauffman, Kolmogorov and Bohm.

As with the frameworks internal and external complexity must be untangled 1-4 (p.124?). I can laugh now, did I really try to marry up Order  - Disorder :: Simple - Complex (complicated?) to the domains of Hodges' model? So often reading philosophy, you feel an imposter playing games with words, as in: 'different similarities' and 'similar differences' (p.125). But of course, this is serious scholarship. Especially, when it involves lines, a rough circle, segments and dimensions: disorder becomes different degrees of order. Page 126 delivers Deleuze in spades, Ross pulls his thoughts together. It is fitting for me that Ross closes chapter 4 with a nod to transdisciplinarity.
Chapter 5 deals with symmetry and disymmetry; indifference and difference; limits and non-locality. There is an argument to follow (p.133). With 'group theory' mentioned on p.131, I've a lot of things to 'look up' [topology too]. Despite appearances I recognise the lack of symmetry in Hodges' model. This is what the situation does (practice) and means (theory): 'There is no reason under the sun which can rely on perfect symmetry' (p.135).  Where do/can we locate 'spooky action at a distance' in Hodges' model (p.140)? 

The Higgs role! Who knew? 'the speed of light. It represents a retardation.' Thanks Bill Ross, fascinating pp. 135-174. Plus, axes too. Note to self: when we die do we 'simply' set sail on the Dirac Sea? Attending the Bill Ross Memorial Workshop – BSP Special Event 2025 last September:

https://hodges-model.blogspot.com/2025/09/bill-ross-memorial-workshop.html

the esteem .. and love .. that Bill Ross engendered in the people that knew him. The preface refers to chats in university cafes. How I wish. I wonder what Bill would have made of Hodges' model and the ongoing project here? Vitally, I get a distinct sense that he would have found time to listen ... 
'Bill Ross (1964 – 2022) had interests ranging widely across contemporary philosophy and culture, with a particular interest in the relations between science and philosophy. As managing editor, he was the driving force behind Clinamen Press, which in the early 2000s published new works by contemporary philosophers, and English translation of important works by continental philosophers such as Henri Bergson, Gaston Bachelard and Michel Serres. He completed his PhD in philosophy at Staffordshire University, where he taught on the MA in the Philosophy of Nature, Information, and Technology. Bill had a lifelong passion for the connections between science and philosophy, on which he had published several important articles. Bill was working on a monograph on the philosophy and science of Deleuzian cosmology, which was has been posthumously published by Edinburgh University Press. This event is to celebrate Bill’s book and his life, and to allow his friends, his colleagues, and anyone interested in his work or the topics and issues addressed by his work to continue the conversation that Bill’s work inspires.'
https://www.thebsp.org.uk/bill-ross-memorial-workshop-deleuzian-cosmologies/
 
Many thanks again to Edinburgh University Press for my copy - a keeper! Bill Ross RIP.
 
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

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.

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).

'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