Complexity Miscellany for Beginners: Part III – Diaz (2026)

“We see with the eyes, but we see with the brain as well, and seeing with the brain is often called imagination.” —Oliver Sacks.

Posted Feb 13, 2026

By Amahury J. L. Díaz

https://www.complexitycat.org/posts/complex-misc-III/

RE-BRAIDING CYBERNETICS AND ARTIFICIAL INTELLIGENCE Conversations ↔ Symposia ↔ Collaborations ↔ Exhibit ↔ Publications

Paul Pangaro ppangaro@cmu.edu, Director, Laboratory for Cybernetics, CMU

Jill Fain Lehman jfl@andrew.cmu.edu, Senior Project Scientist, HCII, CMU

Sam Lemley samlemley@cmu.edu, Curator of Special Collections, CMU Libraries


OVERVIEW


This document is an evolving definition of the Re-Braiding Cybernetics & Artificial Intelligence Project comprising a series of quarterly online symposia from March 2026 through March 2027, culminating in an exhibit in CMU’s Posner Center→ in Spring 2027, followed by dissemination of documentation of the discourse and outcomes of the project.

Re-Braiding Cybernetics & Artificial Intelligence

https://docs.google.com/document/u/0/d/1uXgkltowcKjmcLOyOQUKtv852gvq0zx1UlhT2zeabKU/mobilebasic#heading=h.gdazcpxgyfkh

Systems Thinking in Modern Workflows: A Practical Implementation Guide

[I do not know exactly what this is, or why, but I think this is an example of how not to do it!]

Systems Thinking in Modern Workflows: A Practical Implementation Guide

Systems Thinking in Modern Workflows: A Practical Implementation Guide – Kanban Zone: The Visual Management Platform that Solves your Workflow Challenges

Sharon Zivkovic system transition framework (from Phd) – LinkedIn post


Dr Sharon Zivkovic

Founder Community Capacity Builders (including Centre for Autistic Social Entrepreneurship), Systems Social Entrepreneurship Researcher & Practitioner, Proudly AuDHD (Autistic and ADHD).Founder Community Capacity Builders (including Centre for Autistic Social Entrepreneurship), Systems Social Entrepreneurship Researcher & Practitioner, Proudly AuDHD (Autistic and ADHD).

Looking forward to using this system transition framework from my 2014 PhD in two programs that Community Capacity Builders is piloting in the next couple of months. The framework is being used in an Active Citizenship for Systems Change Program that is being piloted with local government, and a Program for Supporting Autistic Social Entrepreneurs that is being piloted with a disability network. Does anyone know of any complex systems conferences being held later in the year? I’m keen to present the learnings from these pilots.

https://lnkd.in/gJDVb48f
https://lnkd.in/gvKF924m

Post | Feed | LinkedIn

https://www.linkedin.com/feed/update/urn:li:activity:7434002036272320512/

The Spark: Cuts and Constructivism in Cybernetics – James (2026)

The Spark: Cuts and Constructivism in Cybernetics
I was inspired to write this by Harish’s terrific post, An Introduction to Cybernetic Constructivism. It struck a chord with my ongoing interest understanding Biological Constraints or the Cybernetic Cut.

Amusing Myself to Death _ Mastering the Muddle
https://stprism.idok.me/%F0%9F%94%ACCase-Studies/Amusing-Myself-to-Death

Harish’s Notebook – An Introduction to Cybernetic Constructivism – Jose (2026)

Another lovely little piece connected to

No doubt there will also be much debate on this on linkedin:

https://www.linkedin.com/feed/update/urn%3Ali%3Aactivity%3A7433664105133080576/

Differential Logic • 14

Field Picture

Let us summarize the outlook on differential logic we’ve reached so far.  We’ve been considering a class of operators on universes of discourse, each of which takes us from considering one universe of discourse X^\bullet to considering a larger universe of discourse \mathrm{E}X^\bullet.  An operator \mathrm{W} of that general type, namely, \mathrm{W} : X^\bullet \to \mathrm{E}X^\bullet, acts on each proposition f : X \to \mathbb{B} of the source universe {X^\bullet} to produce a proposition \mathrm{W}f : \mathrm{E}X \to \mathbb{B} of the target universe \mathrm{E}X^\bullet.

The operators we’ve examined so far are the enlargement or shift operator \mathrm{E} : X^\bullet \to \mathrm{E}X^\bullet and the difference operator \mathrm{D} : X^\bullet \to \mathrm{E}X^\bullet.  The operators \mathrm{E} and \mathrm{D} act on propositions in X^\bullet, that is, propositions of the form f : X \to \mathbb{B} which amount to propositions about the subject matter of X, and they produce propositions of the form \mathrm{E}f, \mathrm{D}f : \mathrm{E}X \to \mathbb{B} which amount to propositions about specified collections of changes conceivably occurring in X.

At this point we find ourselves in need of visual representations, suitable arrays of concrete pictures to anchor our more earthy intuitions and help us keep our wits about us as we venture into ever more rarefied airs of abstraction.

One good picture comes to us by way of the field concept.  Given a space X, a field of a specified type Y over X is formed by associating with each point of X an object of type Y.  If that sounds like the same thing as a function from X to the space of things of type Y — it is nothing but — and yet it does seem helpful to vary the mental images and take advantage of the figures of speech most naturally springing to mind under the emblem of the field idea.

In the field picture a proposition f : X \to \mathbb{B} becomes a scalar field, that is, a field of values in \mathbb{B}.

For example, consider the logical conjunction pq : X \to \mathbb{B} shown in the following venn diagram.

Conjunction pq : X → B
\text{Conjunction}~ pq : X \to \mathbb{B}

Each of the operators \mathrm{E}, \mathrm{D} : X^\bullet \to \mathrm{E}X^\bullet takes us from considering propositions f : X \to \mathbb{B}, here viewed as scalar fields over X, to considering the corresponding differential fields over X, analogous to what in real analysis are usually called vector fields over X.

Resources

cc: Academia.eduCyberneticsLaws of Form • Mathstodon (1) (2)
cc: Research GateStructural ModelingSystems ScienceSyscoi

#amphecks, #animata, #boolean-algebra, #boolean-functions, #c-s-peirce, #cactus-graphs, #change, #cybernetics, #differential-calculus, #differential-logic, #discrete-dynamics, #equational-inference, #functional-logic, #gradient-descent, #graph-theory, #inquiry-driven-systems, #logic, #logical-graphs, #mathematics, #minimal-negation-operators, #propositional-calculus, #time, #visualization

Resilience Science Must-Knows – Nine things every decision maker should know about resilience – Stockholm Resilience Centre

Resilience Science Must-Knows
Nine things every decision maker should know about resilience

Resilience Science Must-Knows – Stockholm Resilience Centre
https://www.stockholmresilience.org/research/research-projects/resilience-science-must-knows.html

Re-introducing sLab, Problematique Dialogue Call for Participation, 2026-02-25

 February 27, 2026  daviding

Re-introducing sLab, Problematique Dialogue Call for Participation, 2026-02-25
February 27, 2026 daviding

Re-introducing sLab, Problematique Dialogue Call for… – Coevolving Innovations

Differential Logic • 13

Transforms Expanded over Ordinary and Differential Variables

Two views of how the difference operator \mathrm{D} acts on the set of sixteen functions f : \mathbb{B} \times \mathbb{B} \to \mathbb{B} are shown below.  Table A5 shows the expansion of \mathrm{D}f over the set \{ p, q \} of ordinary variables and Table A6 shows the expansion of \mathrm{D}f over the set \{ \mathrm{d}p, \mathrm{d}q \} of differential variables.

Difference Map Expanded over Ordinary Variables

\text{Table A5.}~ \mathrm{D}f ~\text{Expanded over Ordinary Variables}~ \{ p, q \}

Df Expanded over Ordinary Variables {p, q}

Difference Map Expanded over Differential Variables

\text{Table A6.}~ \mathrm{D}f ~\text{Expanded over Differential Variables}~ \{ \mathrm{d}p, \mathrm{d}q \}

Df Expanded over Differential Variables {dp, dq}

Resources

cc: Academia.eduCyberneticsLaws of Form • Mathstodon (1) (2)
cc: Research GateStructural ModelingSystems ScienceSyscoi

#amphecks, #animata, #boolean-algebra, #boolean-functions, #c-s-peirce, #cactus-graphs, #change, #cybernetics, #differential-calculus, #differential-logic, #discrete-dynamics, #equational-inference, #functional-logic, #gradient-descent, #graph-theory, #inquiry-driven-systems, #logic, #logical-graphs, #mathematics, #minimal-negation-operators, #propositional-calculus, #time, #visualization

Growing pains – juggling complexity – Hoverstadt (2025) (for Notion Capital)


Growing pains – juggling complexity
Words by:
Patrick Hoverstadt
Date:
February 16, 2026

Growing pains – juggling complexity | Notion
https://www.notioncapital.com/resources/growing-pains-juggling-complexity

Differential Logic • 12

Transforms Expanded over Ordinary and Differential Variables

A first view of how the shift operator \mathrm{E} acts on the set of sixteen functions f : \mathbb{B} \times \mathbb{B} \to \mathbb{B} was provided by Table A3 in the previous post, expanding the expressions of \mathrm{E}f over the set \{ p, q \} of ordinary variables.

A complementary view of the same material is provided by Table 4 below, this time expanding the expressions of \mathrm{E}f over the set \{ \mathrm{d}p, \mathrm{d}q \} of differential variables.

Enlargement Map Expanded over Differential Variables

\text{Table A4.}~ \mathrm{E}f ~\text{Expanded over Differential Variables}~ \{ \mathrm{d}p, \mathrm{d}q \}

Ef Expanded over Differential Variables {dp, dq}

Resources

cc: Academia.eduCyberneticsLaws of Form • Mathstodon (1) (2)
cc: Research GateStructural ModelingSystems ScienceSyscoi

#amphecks, #animata, #boolean-algebra, #boolean-functions, #c-s-peirce, #cactus-graphs, #change, #cybernetics, #differential-calculus, #differential-logic, #discrete-dynamics, #equational-inference, #functional-logic, #gradient-descent, #graph-theory, #inquiry-driven-systems, #logic, #logical-graphs, #mathematics, #minimal-negation-operators, #propositional-calculus, #time, #visualization

American Society for Cybernetics confernece: Conversational Confluences – Ouro Preto, Brazil August 3-7, 2026 – deadline for abstract submission extended to March/April

We are pleased to inform that, following many requests, we are extending the abstract submission deadline for ASC Brasil 2026: Conversational Confluences to March 16, 2026!

Many universities and research groups require an approved abstract to apply for travel funding or registration confirmation. Submit by March 16 to receive feedback and approval by early April.

🗓️ Deadline: March 16, 2026
📍 Ouro Preto, Brazil | August 3–7, 2026

🔗 https://lnkd.in/d2fWXUhn

* Contributors who do not require feedback for funding or registration may submit until April 27, 2026.

hashtag#ASCBrasil2026 hashtag#Cybernetics hashtag#CallForParticipation hashtag#ConversationalConfluences hashtag#OuroPreto

ASC Brazil 2026: Conversational Confluences

Call for Participation – Conversational Confluences

Differential Logic • 11

Transforms Expanded over Ordinary and Differential Variables

As promised last time, in the next several posts we’ll extend our scope to the full set of boolean functions on two variables and examine how the differential operators \mathrm{E} and \mathrm{D} act on that set.  There being some advantage to singling out the enlargement or shift operator \mathrm{E} in its own right, we’ll begin by computing \mathrm{E}f for each of the functions f : \mathbb{B} \times \mathbb{B} \to \mathbb{B}.

Enlargement Map Expanded over Ordinary Variables

We first encountered the shift operator when we imagined ourselves being in a state described by the truth of a certain proposition and contemplated the value of that proposition in various other states, as determined by a collection of differential propositions describing the steps we might take to change our state.

Restated in terms of our initial example, we imagined ourselves being in a state described by the truth of the proposition pq and contemplated the value of that proposition in various other states, as determined by the differential propositions \mathrm{d}p and \mathrm{d}q describing the steps we might take to change our state.

Those thoughts led us from the boolean function of two variables f_{8}(p, q) = pq to the boolean function of four variables \mathrm{E}f_{8}(p, q, \mathrm{d}p, \mathrm{d}q) = \texttt{(} p \texttt{,} \mathrm{d}p \texttt{)(} q \texttt{,} \mathrm{d}q \texttt{)}, as shown in the entry for f_{8} in the first three columns of Table A3.

\text{Table A3.}~ \mathrm{E}f ~\text{Expanded over Ordinary Variables}~ \{ p, q \}

Ef Expanded over Ordinary Variables {p, q}

Let’s catch a breath here and discuss the full Table next time.

Resources

cc: Academia.eduCyberneticsLaws of Form • Mathstodon (1) (2)
cc: Research GateStructural ModelingSystems ScienceSyscoi

#amphecks, #animata, #boolean-algebra, #boolean-functions, #c-s-peirce, #cactus-graphs, #change, #cybernetics, #differential-calculus, #differential-logic, #discrete-dynamics, #equational-inference, #functional-logic, #gradient-descent, #graph-theory, #inquiry-driven-systems, #logic, #logical-graphs, #mathematics, #minimal-negation-operators, #propositional-calculus, #time, #visualization

systems theory systems practice conference, March 24-26 2026, University of Hull, UK

I’m looking forward to contributing to the Systems Thinking and Systems Practice 2026 conference at the University of Hull, 24–26 March. This event brings together systems professionals and academics to focus on practical methods for working with complexity.

As well as a keynote ‘systems practice is a humanism’ (https://lnkd.in/eKgzWAJ9), I’ll be leading a session on consulting and facilitation, and joining colleagues from SCiO and the wider field in workshops on soft systems methodology, advanced VSM, mindsets and leadership, complexity and collaboration, patterns of strategy, system laws, and Critical Systems Heuristics. We’re also exploring a practical session on interactive planning.

But it’s not just me and it’s not just workshops – the conference programme at https://lnkd.in/e6kU5hJ9 includes keynote presentations from Mike Burrows, Kim Warren, Denis Fischbacher-Smith, Gillian Harrison, Carla Own, John Seddon AND Dave Snowden, Bartly Madden, Ellen Lewis, Dr Juanita Bernal-Alvarado, Angela Espinosa AND MANY MORE, and panel discussions featuring Patrick Hoverstadt, Kathy Kotiadis, Alison Guthrie-Wrenn, and Dr Mike C Jackson OBE.

This is a chance to engage with systems thinking applied to real challenges, connect with peers across sectors, and deepen your practice. Tickets and programme details are available on the event page: https://lnkd.in/e6kU5hJ9