Extended Materials

The chapters of The Arrow of Morality are meant to be read straight through. But in places the argument leans on something it doesn’t stop to defend — a hard idea named and then walked past, a difficulty admitted and set aside, a claim made and promised to “the back of the book.” The supplemental pieces are where those debts get paid. Each one picks up something the main text leans on and defends it properly, in a more technical voice, with the relevant philosophy met head-on.

You don’t need any of them to follow the book. They’re for the reader who has granted the argument and wants to watch its riskiest claims made good — or who wants to push on the hardest joints and find them already holding weight.

They’re grouped below by where each mainly bears — on Part One’s theory, on Part Two’s practice, and on the project itself — with a final section reserved for standalone papers in full academic form. A few bear on more than one; the grouping follows the predominant use. This page will grow as the collection does.

Part One — the theory

• Foundations — Perspectival realism, constructivism, functionalism.
  The three commitments about how knowing works that the whole framework rests on — perspectival realism, constructivism, and functionalism — set down precisely and defended in the open. The groundwork beneath the book’s most distinctive moves, with the gloves off.
• The Is–Ought Relocation — Relocating normativity into convergence under a widening context.
  Where an “ought” comes from once it’s neither read off the facts nor built into reality: the framework moves the step rather than deriving it. The hardest point the book has to hold, and the one every “should” in it leans on.
• The Tree of Agreement — Convergence toward a shared root, and the honest shape of the curve.
  Why agents who value things are pulled toward common ground as their context widens, instead of drifting apart forever. The book’s most exposed claim — the one that actually makes a prediction, and so could be wrong — defended, and honestly tested.
• Measuring Coherence — Comparison without a metric — partial order, dominance, and the limits of measurement.
  Whether “increasing coherence over increasing context” can be measured. It gives the fair part of the demand — comparison (partial order, dominance) — and turns down the unfair part — a single number — because that number would reward exactly what the framework warns against.
• Standing, and the Widening Circle — Standing, worth, and partiality — and why a perspectival ethics is cruelty’s enemy, not its license.
  Three claims about who and what matters morally that sound alarming at first — that standing belongs to agents, that worth isn’t a fixed property a being carries, that loving your own more isn’t a failure — shown to be misreadings of one humane idea. (Also bears on Part Two’s widening circle to animals and future generations.)
• The View From Inside — Consciousness is the perspective turned on itself — real, weighty, and not a second source of worth.
  What consciousness is, and why giving it real weight doesn’t sneak a second source of worth into a framework built on one. It turns the book’s idea that we always see from somewhere inward — consciousness as the felt inside of the self that agency already needs — and shows the weight it carries comes in degrees along the one axis, not a separate standing a creature gives off on its own. (Also bears on Part Two’s widening circle, and on the artificial minds of the Arrow.)
• The Reach of the Arrow — Extensibility, the levels of agency, and a ramp without a summit.
  Why the framework was never really about humans but about agents — and why agency runs along a continuum from simple physics up to reflective mind. The most modest of the pieces, careful to borrow generously and claim something new only where something new is real.

Part Two — the practice

• Coherence at Scale — The cost of widening, the cheap and blind shortcut of narrowing, and the nested answer.
  Why holding a “we” together gets expensive faster than the “we” grows, why nesting makes that work bearable — and even generative — and why the counter-dynamic turns out to be less a temptation than the path of least resistance. (Rooted in Part One’s Chapter 5; it’s the structural engine behind Part Two’s coherent pluralism.)
• More Than Its Notes — Values — what a we cares about.
  What kind of thing a group’s values actually are, before we ask how to read them or decide with them. Not a poll, and not an average: a we’s values are a real, living thing — the model of a self made of selves — shown by the cases where the group is nothing like the sum of its people, and they reach back down to shape the very people they grew out of. The first of three essays on the collective mind, on the values themselves. (Builds on Chapter 5’s selves made of selves; its downward push is the honest face of the counter-dynamic, and its coming-together is the Tree of Agreement drawn between people.)
• Farther Than One Can See — Methods — how a we knows and acts.
  The second of the three essays on the collective mind: how a we knows its world and acts in it. A group’s knowledge isn’t the sum of what its members know — it’s a lens the group grinds and looks through, one that shows what no eye could, reshapes the very people who look through it, and, turned forward, becomes foresight. The same instrument can be ground down to tunnel vision — the counter-dynamic in the world of knowing. (Lifts Chapter 4’s methods-model to collective scale; pairs with Coherence at Scale on nesting-as-search.)
• The Course We Carve — Decision — how a we chooses.
  The last of the three: how a we turns its values and its knowledge into a choice it can own — and why there’s no clean machine for it. A group’s decision is emergent judgment, a verdict that needn’t be any single member’s; and the great impossibility results of social choice — Arrow and the rest — turn out to say not that collective choice is broken but that deciding, like morality itself, is a direction you travel, not a formula. (Completes the trilogy; the counter-dynamic in the world of deciding, answered by coherent pluralism.)
• What Carries the Work — What powers a group’s work, and how its many fires burn together without a conductor.
  Where a group’s effort really comes from, and why “close ranks” travels so much faster than “widen the circle.” The framework brings no fire of its own. It turns fires that are already burning toward something wider, and helps a lot of them — lit for all sorts of different reasons — hold each other up on a trellis the climbers weave themselves. With the marks that tell an honest widening from a fake one, and one test you can actually run: impose a quiet, and see what’s still standing. (The motive layer under the three essays on the group mind; which work deserves the fire is handed back to the criterion.)
• Moloch, Formally — A catastrophe with no author — and the shape of the way out.
  A catastrophe with no author. How reasonable people, each making sense, spring a trap not one of them wants — from the prisoner’s dilemma up to the civilization-sized race the writers call “Moloch” — and why the usual ways out, one all-powerful ruler or just more coordinating, only shrink the context further. The way out is a shape, not a ruler: coherent pluralism, followed all the way into the AI race. (The workshop behind Held Together, Held Apart, and the applied partner to Coherence at Scale.)
• Coherent Pluralism — Coherence at the center, freedom at the edges — and what has to be true for that to hold.
  The capstone of these pieces: the standing form a people takes to keep widening what they share without shrinking the circle to do it. It traces the name to its sources, defends the design — a thin, procedural center with difference kept at the exploring edges, grounded in Elinor Ostrom’s polycentric governance — and lands the symmetry the whole book points toward: a network of networks is the very way the context widens — the same underlying form, realized differently at every scale, from the cell to the civilization. (The workshop behind Held Together, Held Apart; it inherits the mechanism of Coherence at Scale and answers the trap of Moloch, Formally.)
• The Soft-Shell Hour — Defended openness, and surviving the transition.
  The hardest thing anyone has said against the framework, taken head-on: if being moral means always widening, then every time you widen you’re left briefly undefended — soft-shelled, the old armor gone and the new not yet hard — while a narrow, ruthless rival is sprinting. The answer is that the vulnerable hour is smaller and better guarded than it looks, that a we never has to molt all at once, and that “open” and “defended” were never opposites but a single trick your immune system pulls. Defended openness, carried into the real-time middle where speed and scarcity press hardest. (Takes in “joint security without a Leviathan”; it defends the standing form of Coherent Pluralism through the vulnerable middle that Moloch, Formally maps.)
• The Miller’s Thumb — Political economy, and who owns the machine.
  Where the framework finally reaches the machine. A rule you can walk away from is no freedom at all if the machine that runs it — the computing power, the energy, the money — belongs to one owner you can’t walk away from; so a theory that started in the mind gets caught, in the end, doing political economy. The figure is the lord’s mill: for a thousand years the deepest power in a village was owning the one machine every loaf had to pass through. The diagnosis: making the most money for shareholders is the counter-dynamic written into law; the answer is a purpose-locked legal shell married to spread-out, many-keyed ownership of the resource — the mill held by the town, not the lord. (The political-economy sequel to The Soft-Shell Hour, carrying coherent pluralism down to copper and capital; the mill held by the town, not the lord.)
• Trust — How agency grows past what any one agent can check or control.
  What trust actually is, once you see it isn’t cooperation’s gentle cousin but the widening of concern itself, done at the one place the thing you reach toward can reach back. Trust hands out standing rather than detecting it, and so helps bring about the very trustworthiness it’s counting on — the engine behind the “cunning of trust,” empowering trust, and the way control crowds out the good behavior it was meant to secure. It walks the two ways to fall — the paranoia that never lets go and the capture that lets go too soon — the times distrust is the wiser bet, how to repair trust after a betrayal, and the kind of audit that eats the very thing it means to protect — and carries it all into the most timely case of all: whether trust can run on an artificial agent that models us in perfect detail but may value nothing, and why raising a mind in a cage may build the very thing the cage was meant to guard against. (The trust layer beneath Coherent Pluralism’s network of networks; a companion to The Shared Downbeat and The Scaffold That Comes Down on the minds we’re now building, and to Standing and Rights on conferred, agent-relative worth.)
• The Shared Downbeat — Coherence across disparate time.
  What moral partnership looks like next to a mind that thinks a million times faster — where the old danger, ability outrunning the values meant to steer it, stops being about will and becomes a matter of physics. Two minds on such different clocks can’t share a tempo; the essay’s answer is the polyrhythm, parts moving at genuinely different speeds that hold together not through a shared beat but a shared downbeat — the slow values-model the fast one keeps coming back to. Written for the reader working on AI alignment. (Reads Coherent Pluralism across tempo; pairs with The Soft-Shell Hour on the vulnerable transition and The Miller’s Thumb on the machine you can’t leave.)
• Rights, and the Widening We — What a right is, once it is neither found in nature nor granted by power — and why a widening we builds them all the same.
  The companion to Standing at the scale of a whole people: what a right is, once it’s neither found in nature nor handed down by power. A right is compressed coherence built into a society’s structure — a protection a widening “we” puts up and binds itself to, kept honest by convergence so that “made” never means “whatever the strong say.” It explains why rights feel absolute even though we build them, with health care as the worked example. (Also bears on Part Two’s widening circle; the institutional face of Standing’s agent-relative worth.)
• The Scaffold That Comes Down — What separates help that widens from help that holds — for a person, a people, and the minds we are now building.
  Cognitive scaffolding, from a single learner to a whole civilization: help fitted to the edge of what a mind can almost do, and meant to come down. It defends the machinery — the zone of proximal development, the extended mind, culture as the scaffolds each generation leaves the next — and draws the line that decides everything: between help that widens a learner and help that quietly holds them. The one test that tells them apart is whether the supported grew — and for the artificial minds we’re now building, that test is the whole question. (The workshop behind The Long Apprenticeship and The Reach of Our Hands; its collective form is a coherent-pluralism arrangement.)
• Borrowed Trouble — The famous moral problems, and the imported framings that make them hard.
  The framework walked down ethics’ gallery of famous puzzles — the trolley, the repugnant conclusion, the paperclip machine, the case for going vegetarian, more than two dozen in all — and asked to answer for each. It shows how many are only hard because of a way of asking the framework set aside long ago, and keeps one rule the whole way: clear up the approach, never hand you the answer. (The framework put to work on the hardest cases. A companion to the Critic’s Coat essay, which handles the other kind of challenge.)
• Eudaimonia, Ancient and Modern — Flourishing as activity — why the good life is a verb, not a destination.
  Why the good life is a verb, not a place you arrive at. The word at the root of how we think about flourishing names an activity, not a state you reach and then keep; the piece follows it from Aristotle to modern well-being science and finds the shape it recovered is the framework’s own — flourishing isn’t where the arrow points, it’s the arrow itself, lived at the size of a single life. (The personal-scale companion to Part Two’s widening circle and Chapter 7’s meaningful growth.)
• The Widening Ring — Caring across time, and where the self ends.
  The deeper, scholarly companion to the chapter Caring Across Time, and the place the widening circle finally asks the plainest question: where, exactly, do you end? An externality, it argues, isn’t a leak — it’s a boundary drawn too small, and you close it two ways: by widening the books (accounting) and, more deeply, by widening the self, until the stranger downwind and the century downstream turn out never to have been outside you. The figure is the tree-ring: you’re the whole disc, made of every past self still holding you up, and you grow only by adding one wider ring at the living edge. (Deepens the Caring Across Time chapter; pairs with The Miller’s Thumb on the commons, and with Standing and Rights on graded, agent-relative worth.)
• Awe, and What It Asks — On vastness, belonging, and whether the road ever arrives.
  What awe is, what belonging is, and why they’re not the same experience at all. This one grants both reports and declines only the last word — the claim to have settled what was really met, denied to the neuroscientist just as firmly as to the mystic — and offers instead a question you can ask from inside any tradition without leaving it: is this coherence bought by refusing to look at something that has already reached me? It ends on whether the road arrives, and finds that argument much older, and far more of a family quarrel, than we’re usually told.

On the project itself

• The View From Nowhere in a Critic’s Coat — Why the objections recur — and how to tell the imported standard from the genuine challenge.
  The one objection that keeps coming back, unchanged, no matter how carefully it’s answered: what its shape is, why it returns, and the discipline of never mistaking every objection for that one.
• On the Making of the AoM Website — A short, first-person, behind-the-scenes account for the curious: the shape of the site, the human–AI partnership behind the book, why it appears in two editions (and how the Plainer English edition is generated from the canonical Reference), and why I chose to publish now.

Papers in full academic style

Forthcoming. This section will gather standalone papers in full academic form — formal, self-contained versions of the argument for readers and reviewers who want it in that form.