La Bourse / Volume II / Nº II.04 / Quiz, reflection, essays

A watercolour of rolling farmland in ochre and green, the hills repeating into the distance like a wave. — Plate II.04 · Quiz, reflection, essaysThe Standing Wave.The pattern is not in the water and it is not in the flame. It is in the difference between them, and it will hold exactly as long as the difference does.

ASSESSMENT · Chapter II.04 — The Science of Wholeness

Three instruments: a ten-point quiz, eight reflection questions, five essay prompts. The quiz checks comprehension rather than recall. The reflections are private and first-person. The essays are arguable from more than one side.

THE QUIZ — ten points

Four on recall.

1. State Prigogine's entropy balance and say which term carries the sign restriction.

dS = d_eS + d_iS, where d_iS ≥ 0 always — internal entropy production is never negative, and that is the second law. The exchange term d_eS can be negative, and a structure holds its order by making it negative enough to cancel its own production. One mark for the expression, one for placing the restriction on the internal term rather than the exchange term — which is the half of it that people reverse.

2. What is equifinality a property of?

Openness. An open system reaches the same steady state from different initial conditions; a closed conservative system carries its initial total to the end. No marks for "complexity" or "living systems" — the closed-system control is the point of the demonstration.

3. Name the two load-bearing clauses in Maturana and Varela's definition of autopoiesis, and say what kind of test the six-point key is.

The components must produce the components, and the system must produce its own boundary. The key is a conjunction: fail one point and the system is not autopoietic. One mark for the two clauses, one for "conjunction" — a candidate who says "mostly autopoietic" has not answered the question.

4. Give Meadows' leverage points 6, 5 and 3, and say which end of her list is strongest.

6 is the structure of information flows; 5 is the rules; 3 is the goals of the system. Number 1 is the strongest — the list runs weakest (12) to strongest (1), which is the opposite of how ranked lists usually read and the reason it is misquoted.

Four on application.

5. A colleague writes: "the economy is a dissipative structure, so thermodynamics constrains growth." Diagnose the sentence.

The first clause is licensed — the economy is an open system holding order by throughput. The second does not follow from it, because the entropy sink is not the binding term. The planetary export is roughly nine thousand times the economy's entropy production. Full marks require both halves: the description is right and the inference from it is not, and the real constraints are specific material cycles and specific gradients rather than the second law.

6. Your consultancy proposes to "enable self-organisation" in a division with no decision rights, no budget discretion and no difference in consequence between performing well and badly. What does the physics say, and what would you do instead?

The gradient is subcritical, so no structure will form — below the critical Rayleigh number the same energy crosses the layer and organises nothing. Either raise the gradient, or use the depth term, which enters cubed: longer horizons and more layers collapse the gradient required. Credit any answer that names building the structure deliberately as the honest alternative rather than waiting.

7. A board paper calls the firm "an autopoietic system that regenerates its own capabilities." How many of the six criteria does a limited company meet, and which failure is decisive?

Three of six. Criterion four is decisive: the boundary is produced by a registrar under company law, not by the firm's own components. Criterion six fails too — people are recruited intact rather than produced. The stronger answer names the available correct term, allopoietic, and notes that Maturana declined the social extension himself.

8. Two competitors meet the same 10 percent demand shock. One's revenue overshoots by half; the other barely moves. Which concept is this, and where does the explanatory weight sit?

Structural coupling — the medium perturbs, the structure determines. The weight sits entirely inside each firm, in its damping. Credit any answer that resists explaining the difference by the size or nature of the shock, which was identical by construction.

Two that require the arithmetic to be done.

9. A stock is filled by goal-seeking inflow a·(G − S) and drained at k·S. With a = 0.3, k = 0.1 and G = 100, compare a 20 percent increase in a with a 20 percent increase in G, and then say what happens to that comparison when a = 0.1 and k = 0.9. Show your working.

S = aG/(a+k) = 0.3 × 100 / 0.4 = 75.00. With a = 0.36: 36/0.46 = 78.2609, a rise of +4.35 %. With G = 120: 0.3 × 120 / 0.4 = 90.0000, a rise of +20.00 %. Analytically the elasticity to G is exactly 1.000 and the elasticity to a is k/(a+k) = 0.250, a ratio of 4.00×. With a = 0.1, k = 0.9 the elasticity to a becomes 0.9/1.0 = 0.900 and the ratio falls to 1.111×. Full marks require the second half: Meadows' ordering is an ordering of kinds and its magnitude is set by loop dominance, so in a drain-dominated system the parameter is nearly as powerful as the goal — and is very much easier to reach.*

10. An asset base of £40,000,000 at replacement cost has a measured maintenance throughput of 4.2 percent a year. £3,100,000 is currently funded. Compute the three-year required reserve, the coverage ratio and the quarterly contribution that closes the gap in two years. Then say why the covenant is written against a threshold rather than a trend.

Annual cost 40,000,000 × 0.042 = £1,680,000; three-year requirement £5,040,000; coverage 3,100,000 / 5,040,000 = 0.615; shortfall £1,940,000; over eight quarters, £242,500 per quarter. The covenant is written against a threshold because the decay is convex: on the chapter's condition model, funding at 100 percent of the decay rate reaches structural failure in 31.75 years and funding at 95 percent reaches it in 21.75 years — a five percent shortfall costing 31.5 percent of the life. The stronger answer states the consequence in the lender's register: a covenanted asset condition lowers loss given default, so the argument to the agent bank is credit, not conscience.

REFLECTION — eight questions, for one person and a pen

These are not for a room. Write the answers by hand if you can; the slowness is the point.

Which systems word have you used most often in the last year — ecosystem, organic, emergent, self-organising, regenerative? Write down what you would have to name for that word to be licensed in the sentence you used it in. Then decide whether you still want to use it there.

Think of a claim you believe strongly and have never checked against its source. What has kept you from checking — genuinely? Is it that you expect to be wrong, or that you expect to be right and resent the errand?

Where in your own life is order being maintained by throughput you have stopped paying? Answer about sleep, attention and friendship before you answer about anything with a balance sheet.

Recall an argument you lost because one number in it was loose. What did the other person's face do when they found it? What did you do next?

Name a gradient in your work that is currently subcritical — where there is genuinely no difference between doing this well and doing it badly. What would raise it, and what stops you raising it?

Which of your commitments are you fifty percent of the way into, and is fifty percent of that thing worth anything at all? Some things are linear and some are conjunctions. Say which yours are.

Think of someone who corrected you precisely and kindly. What did they do that made it land as a gift? Could you do that for someone this month?

If somebody checked one figure in your last piece of work, which one would you want them to pick — and which one are you hoping they do not?

ESSAY PROMPTS — five

Each is arguable from more than one side. Each requires at least one source the chapter cites and at least one it does not.

1. Whether autopoiesis survives the crossing. The chapter finds that a limited company fails Maturana and Varela's criteria and that Maturana declined the social extension himself, while Luhmann and Teubner made the crossing by naming communications as the components. Argue either that the Luhmann–Teubner move is a legitimate theoretical extension that the biologists had no standing to refuse, or that it is a homonym — a different theory wearing the same word. Use Varela, Maturana and Uribe (1974) and Teubner (1993), and at least one critical treatment of Luhmann's systems theory that the chapter does not cite.

2. The entropy argument, for and against. The chapter computes that the planetary entropy sink exceeds the economy's entropy production by a factor of roughly nine thousand, and concludes that thermodynamic arguments for limits to growth are not load-bearing. Argue the counter-case: that the relevant thermodynamic constraint was never the sink but the availability of specific low-entropy gradients, and that the chapter's calculation answers a question nobody serious was asking. Use Georgescu-Roegen (1971) and Bianciardi, Tiezzi and Ulgiati (1993), and one source in ecological economics after 2000 that the chapter does not cite.

3. Is an ordered intuition a scientific result? Meadows offered the twelve leverage points explicitly as an ordering arrived at in a moment of impatience and refined by judgement, not as a measured result. Argue whether a ranked heuristic of this kind should be taught alongside theorems and measurements, or quarantined from them. Use Meadows (1999) and Abson et al. (2017), and one source on the epistemology of heuristics or expert judgement that the chapter does not cite.

4. Boulding's ladder, sixty years on. Boulding placed economics' theoretical models at the level of the clockwork and the thermostat while its subject matter sits at the level of social organisation. Argue either that the gap has substantially closed — through agent-based modelling, network economics, behavioural work and mechanism design — or that it has widened because the tools got more sophisticated without changing level. Use Boulding (1956) and Arthur (1989), and one post-2010 methodological survey of economics that the chapter does not cite.

5. Rigour as a status weapon. The chapter proposes a four-question licence test and then names its own failure mode: that the test becomes a purity contest and the room learns to make no systems claims at all. Argue whether formal standards of this kind in an emerging field are net-generative or net-suppressive, and design the governance that would decide it either way. Use the chapter's Design movement and Ostrom (1990) on rule design, and one source on gatekeeping, peer review or paradigm formation that the chapter does not cite.