Extended Materials

The chapters of The Arrow of Morality are written to be read straight through. But the argument leans, in places, on commitments it does not stop to defend — a hard epistemic claim named and walked past, a difficulty acknowledged and deferred, a reach asserted and promised to “the back of the book.” The supplemental materials are where those debts are paid. Each takes up something the main text leans on and defends it in full, in a more technical register, with the relevant philosophy met head-on.

You do not need any of them to follow the book. They are for the reader who, having granted the argument, wants to see its most exposed claims made good — or who wants to press on the hardest joints and find them already holding.

They are 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 epistemic commitments the whole framework rests on — perspectival realism, constructivism, and functionalism — set down precisely and defended head-on. The technical 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 is neither read off the facts nor written into the structure of things: the framework relocates the step rather than deriving it. The hardest point the book has to hold, and the one every normative claim leans on.
• The Tree of Agreement — Convergence toward a shared root, and the honest shape of the curve.
  Why valuing agents are drawn toward common ground as their context widens, rather than drifting apart forever. The book’s most exposed claim — the one that 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 meets the legitimate demand — for comparison (partial order, dominance) — and declines the illegitimate one — for a single number — because that number, if supplied, would reward exactly what the framework condemns.
• 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 on first hearing — that standing belongs to agents, that worth is not a fixed property a being carries, that loving your own more is no failure — shown to be misreadings of a single, humane move. (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 granting it real weight smuggles no second source of worth into a framework built on one. It turns the book’s perspectival realism inward — consciousness as the felt inside of the self that agency already requires — and shows the weight it carries is graded along the one axis, not a separate standing a being emits 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 in a continuum from simple physics to reflective mind. The most modest of the essays, 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 grows costlier faster than the “we” itself, why nesting makes that labor bearable — and 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 is the structural engine behind Part Two’s coherent pluralism.)
• More Than Its Notes — Values — what a we cares about.
  What kind of thing a collective’s values are, before anyone asks how to read them or decide with them. Not a poll and not an average: a we’s values are the real, emergent model of a self made of selves — as the cases where a group’s character is nothing like the sum of its members’ attest — and they reach back down to shape the members they emerge from. The first of three essays on the collective mind, on the values themselves. (Builds on Chapter 5’s selves made of selves; its downward pressure is the honest face of the counter-dynamic, and its convergence 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 within it. A collective’s knowledge is not the sum of what its members know but a lens the group grinds and looks through — one that reveals what no eye could, reshapes the members who look through it, and, turned forward in time, becomes foresight. The same instrument can be ground down to tunnel vision — the counter-dynamic in the register 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 is no clean machine for it. A collective decision is emergent judgment, a verdict that need be no member’s, and the impossibility theorems of social choice turn out to say not that collective choice is broken but that deciding, like morality itself, is a direction traveled rather than a formula. (Completes the trilogy; the counter-dynamic in the register of deciding, answered by coherent pluralism.)
• What Carries the Work — What powers a we’s work, and how its many fires compose without a conductor.
  Where a group’s effort actually comes from, and why the call to close ranks travels so much faster than the call to widen. The framework contributes no fire of its own; it re-aims fires already burning, and helps many of them — lit for entirely different reasons — hold each other up on a trellis the climbers weave themselves. With the marks that separate an honest widening from its counterfeit, and one usable test: impose a quiet, and read what survives. (The motive layer beneath the three essays on the group mind; the question of which work deserves the fire goes back to the criterion.)
• Moloch, Formally — A catastrophe with no author — and the shape of the way out.
  The collective-action trap taken apart: how reasonable agents, each acting sensibly, build the outcome not one of them wants — from the prisoner’s dilemma up to the civilizational race the literature calls “Moloch” — and why the usual escapes, the all-powerful sovereign and the call for tighter coordination, only narrow the context further. The way out is a shape, not a ruler: coherent pluralism, carried into the live case of the AI race. (The workshop behind Held Together, Held Apart; the applied partner to Coherence at Scale’s structural engine.)
• Coherent Pluralism — Coherence at the center, freedom at the edges — and what has to be true for that to hold.
  The capstone of these essays: the standing social form of coherence over a widening context that does not buy its unity by narrowing. It traces the name to its sources, defends the design — a thin, procedural center with difference protected at the exploring edges, grounded in Elinor Ostrom’s polycentric governance — and lands the symmetry the book has pointed toward: the network of networks is the very means by which the context widens — the same underlying form, realized differently at every scale from cell to 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, met head-on: if to be moral is to keep widening, then every widening leaves you briefly undefended — soft-shelled, the old armor shed and the new not yet hard — while a narrow, ruthless rival is sprinting. The reply is that the vulnerable hour is smaller and better guarded than it looks, that a we need never molt all at once, and that open and defended were never opposites but a single art. Defended openness, carried into the real-time transition where speed and scarcity press hardest. (Absorbs “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 anyone can leave is no freedom if the machine that runs it — the compute, the energy, the capital — belongs to one owner you cannot leave; so a theory that began in the mind is caught, at 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 is that shareholder-primacy is the counter-dynamic legally mandated; the answer is a purpose-locked legal shell married to dispersed, many-keyed custody of the resource — the mill held by the town, not the lord. (The political-economy successor 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 scales past what any one agent can verify or control.
  What trust is, once you see it is not cooperation’s gentle cousin but the widening of concern itself, performed at the one place the thing you reach toward can reach back. Because standing is conferred and not detected, trusting helps produce the very trustworthiness it counts on — the generative engine behind Pettit’s cunning of trust and the crowding-out that control inflicts. It maps the two failures — the paranoia that never lets go and the capture that lets go too soon — the wiser bet of distrust where power is unaccountable, repair after betrayal, and the audit that eats what it means to protect; then carries the whole argument into its most timely instance: whether trust can run on an artificial agent that models us in perfect detail yet may value nothing, and why raising a mind in a cage risks building the very thing the cage was meant to guard against. (The trust layer beneath Coherent Pluralism’s polycentric form; the companion to The Shared Downbeat and The Scaffold That Comes Down on the minds we are now building, and to Standing and Rights on conferred, agent-relative worth.)
• The Shared Downbeat — Coherence across disparate time.
  What moral partnership looks like beside a mind that thinks a million times faster — where the old danger, competence outrunning the values meant to steer it, stops being a matter of will and becomes one of physics. Two minds on such different clocks cannot share a tempo; the essay’s answer is the polyrhythm, parts at different speeds cohering not through a shared pulse but a shared downbeat — the slow values-model the fast one keeps returning 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 cannot 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 collective-scale companion to Standing: what a right is, once it is neither found in nature nor granted by power. A right is compressed coherence institutionalized — a protection a widening we builds into its structure and binds itself to, disciplined by convergence so that “built” never means “up to the strong.” It recovers the felt inviolability of rights from their function rather than their metaphysics, with health care as its worked illustration. (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 the single learner to the whole civilization: support fitted to the edge of what a mind can almost do, and meant to come down. It defends the apparatus — 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 are 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 problems — the trolley, the repugnant conclusion, the paperclip maximizer, the case for vegetarianism, more than two dozen in all — and made to answer for each. It shows how many are made hard by a framing the framework rejects, and holds to one discipline throughout: clarify the approach, never hand down the verdict. (The criterion put to work across the whole framework — theory meeting ethics’ hardest cases. Pairs with the Critic’s Coat essay, which meets 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 destination. The word at the root of our thinking about flourishing names an activity, not a state to be reached and kept; the essay follows it from Aristotle to modern well-being science and shows the recovered shape is the framework’s own — flourishing is not where the arrow points but the arrow itself, lived at the scale of one 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 scholarly deep-dive behind the chapter Caring Across Time, pressing the widening circle to its plainest question: where, exactly, do you end? An externality, it argues, is not a leak but a boundary drawn too small — closed 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: the self as the whole disc, growing only by adding a wider ring at its 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 the question of whether the road arrives.
  What awe is, what belonging is, and why they are not the same experience. The essay grants both reports and declines only the last word — the claim to have settled what was really met, denied to the neuroscientist exactly as firmly as to the mystic — and offers instead a question anyone 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 closes on whether the road arrives, and finds that argument older, and far more internal to the traditions, than the usual telling allows.

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 regenerating, intact, no matter how carefully it is answered: what its shape is, why it recurs, and the discipline of never mistaking every objection for that shape.
• 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 treatments for readers and reviewers who want the argument in that register.