Self-as-an-End
SAE Value Theory · Paper 0 · 元论文

Interfacing with Existing Traditions, and the Prospect
传统理论对接与展望

Han Qin (秦汉) · Independent Researcher · 2026
DOI: 10.5281/zenodo.22265396 · Full PDF on Zenodo · CC BY 4.0
Abstract

The object level of the Value Theory is finished. The prequel cleared the space of reference, and the six papers that followed set up a machine for reading value: source, occurrence, colonization, dynamics, conflict, the other. This paper steps outside that machine and does three things the seven papers, under their own disciplines, do not do.

The first is self-description. This machine is not one principle unfolded six times. It keeps three ledgers: a ledger of constitution, a ledger of operation, and a ledger of action and relation. Each has its own subjects and its own way of being read, and between them run two rules that may not be crossed: readings of operation, action, consequence and relation do not, of themselves, flow back into a source or a standing of value; and external conditions may shape appearance, reachability, and the channels of action and relation, yet do not, of themselves, stand in for a first-person constitution. Those two rules are among the most important reasons why the six papers cannot be read as one.

The second is interfacing. The seven papers name no external theorist; this paper is exempt from that discipline and places the existing traditions of value theory within the coordinates of this machine. Placing is not ranking. Eight are engaged directly and seven others are only located. Kant is set apart in a section of his own: the two share the negative mark that what has dignity cannot be replaced by an equivalent, while the prequel derives, from its own conditions of constitution, a neighbouring boundary of non-substitutability. Sharing one mark is not sharing a full criterion, still less conceptual identity.

The third is registration. This paper sorts the places where the machine did not go on, by what each of them is: a remainder (ρ) left by this construct; objects adjacent within its jurisdiction that were never set up as its own questions; a limit already established; a research candidate proposed here; handovers whose address is already fixed; and an object-level open question that only came to light on looking back. These six cannot be called by one name. Registration promises nothing. A forward assignment written into a published text is a debt that must be settled in public, and the forward assignments made to a "prospect paper" in the existing texts are settled here.

This paper adds no proposition to the object level of the Value Theory, sets no proposition numbers, and draws on no normative force at the object level. What it does newly establish lies at the meta level: the ledger distinctions above, and the discipline of settling forward assignments.

Introduction

When a series is finished, the easiest thing to do is to say one more thing on its behalf that it never said.

The prequel cleared the space of reference. The word value is claimed at once by the market, by ethics, and by ordinary language, so that one word carries at least three things; the five misplacements the prequel excluded by structural negation are price, direction, the pricing of the remainder, the ladder, and talking past one another. P1 then set up the five machines the prequel had marked out, P2 established the occurrence of value, P3 read the colonization of value, P4 gave the readings value takes in time, P5 established adjudication in conflict, and P6 established the value of the other.

All seven work inside the machine. Each has its object, each has its load-bearing propositions, and each keeps the same disciplines: no external theorist is named, no historical event is invoked, and no normative force is drawn upon. Those disciplines make the seven papers clean, and they also make certain sentences unsayable within them. The seven cannot say what this machine looks like as a whole, and they cannot say where it parts company with machines other people have built.

This paper steps outside and says those sentences. Standing outside takes a different discipline, and this paper is therefore exempt from the rule against naming external theorists. The exemption reaches only the naming: this paper still adds no proposition to the object level, sets no proposition numbers, and still draws on no normative force there.

A word on this paper's place in the series. Four published texts, the prequel and P1, P2 and P3, wrote down a piece of unfinished work and named its recipient a prospect paper. This paper is where those forward assignments are settled, and settling them is not the same as inheriting that name. Section Seven gives the reason: a forward assignment points at a piece of work, not at a permanent bibliographic type for some future product. That work was already reassigned between P4 and P5. This paper states that reassignment in public, by the second of the three routes set out in Section Seven, and is written as Paper 0. The prospect paper is therefore this paper's historical alias, not its place in the series.


Section One · What Kind of Machine This Is

One · Not one principle, but three ledgers

The prequel cleared the space of reference and the six papers that followed set up the machine; together they are one construct. What that construct set up is easily collapsed into a single elegant principle, and collapsing it distorts, because what the six papers read is not one kind of thing.

One general remark first: the three ledgers below are analytic ledgers, not bins for papers. What is recorded at the end of each of the three passages is who set that ledger up; those who work on it are not only they, as the matrix that follows shows.

The ledger of constitution. It asks how a content becomes the value content of some bearer. The words on this ledger are: domain of bearers, source of value, candidate, first-person avowal, the standing of a value content. It was set up by P1 and P2.

The ledger of operation. It asks how what has already come to hold moves in time. The words on this ledger are: the presence of a source position, reachability, the rise and fall of particular contents, the centre of gravity, revision and exit. It was set up by P4, while P3 reads what this ledger looks like when an external end has interfered with it.

The ledger of action and relation. It asks what happens when two demands collide, and what occurs between two bearers. The words on this ledger are: the ordering of action, adjudication, cultivation, colonization, resonance, joint audit, boundaries where two people meet. It was set up by P5 and P6.

A paper may cross ledgers, and most do. P3 comes in from outside through relational conditions, works on the running channels of appearance, reachability and revision, and at last generates a mistaken reading that a constitution has been completed; it crosses all three. P6 returns to the ledger of constitution in its first proposition, stands at the layer of epistemic authority in its second, and only in the later ones works on the ledger of action and relation.

The ledgers are not there to give each paper one bin. They are there to stop the subjects of one ledger from being claimed by another. On the ledger of constitution the subjects are contents and positions; on the ledger of operation they are readings; the ledger of action and relation is a compound ledger, divided into an action column and a relation column, whose subjects include demands for action, orderings of action, events, relational channels, authority and boundaries. The distinction among these subjects, together with the two bars on back-flow set out below, is among the most important reasons why the six papers cannot be compressed into one.

The relation between the three ledgers and the six papers can be set out as a matrix. It reads as what each paper did on each ledger, not as which ledger each paper belongs to.

Paper Ledger of constitution Ledger of operation Ledger of action and relation
P1domain of bearers; sources of value; the outward-facing content of one's own lawthe unfolding of sourcesthe conditions side of cultivation
P2first-person avowal; the standing of a contentavowal taking shape over timethe conditions side of social recognition
P3an external end occupying and counterfeiting the function of the constitutive position, without taking the position away and without any constitution being completed outsidereachability; locking; channels of revisionexternal ends and relational structure
P4the boundary between constitution and operationpresence, reachability, particular contents, centre of gravityrelational facts that can enter third-person audit and joint verification and yield fallible, revisable readings
P5standing does not flow backa content set aside is still helddemands for action; conflict; adjudication
P6the registration of that one content; sources do not mergethe limits of third-person readingsstanding of value against readings of the world; resonance; joint audit

Two · Two bars on back-flow

Setting the three ledgers side by side is not yet enough, because what matters is not that each speaks for itself but what may not pass between them. Taken together, the seven papers set up two such bars.

The first. Readings of operation, action, consequence and relation do not, of themselves, flow back into a source or a standing of value.

P4 says it most directly in establishing that output and position are independent axes: to put something visible in place of something in principle invisible, to let what is easily had stand in for what is hard to have, is a move that often works elsewhere and does not work here, because the reading substituted in does not prove the thing that had to be proved. P5, in establishing conflict, says that setting aside is not exiting, because setting aside cannot do what exiting does. P6, in establishing comparison, says that the conditions, options and consequences in the world can be checked together, and that those readings do not flow back into standing. The three say the same thing.

The second. External conditions may shape appearance, reachability, and the channels of action and relation, yet do not, of themselves, stand in for a first-person constitution.

P1, in establishing cultivation, says that one bearer can loosen another's grid. P3, in establishing colonization, says that an external relation can form an occupation at the position of appearance, counterfeit constitution by introjection at the constitutive position, and form a locking at the position of revision. P6, in establishing the other, says that appearance, social shaping and cultivation may all come from outside, while the constitution by which a content becomes his value content is not accomplished at my place. These three also say the same thing.

These two are what the six papers jointly made. They are not derived from some more fundamental principle; they are the two lines that remained between the ledgers after each paper had done its work on its own.

Three · Four nodes

Four nodes are used repeatedly across the three ledgers. They are listed here, without any claim that they are equivalent to one another.

The domain of bearers. End-value is borne by bearers. P1, in establishing the domain, divided it into four slots, of which the fourth, doorless, for example an animal; a doorless object has its experience and can be an end that is cared about, and it does not fill that position as a bearer of end-value.

First-person avowal. A content becomes someone's value only through his own avowal, and P2 writes that avowal is not verification: the bearer is not ascertaining a fact that already exists, but taking it up within the workings of his own law.

No common external measure. P1's leading proposition writes that once something is the bearer's own and issues from his own law, there is no longer any coordinate system outside that law which can pass value judgement on it across layers or across subjects.

The source is not placed outside. P1 states it uniformly: across the domain of bearers, the source of end-value is anchored on the condition that the standing of being an end is not placed outside; for a complete subject, the running of that source is anchored on the autonomous reflexive operation of his own law; for a subject-to-be, the source is already there while the manner of running is still forming.

The four support one another; they are not equivalent. That the source lies on the bearer's side does not by itself entail that there can be no cross-subject aggregation: a theory that makes utility depend on the subject and still builds an aggregation function is not, in point of form, contradictory. Conversely, holding that there is no common measure does not by itself entail that the source depends on the subject: an objective value pluralism may perfectly well hold both that values are objective and that they are incommensurable with one another. And that value is borne by bearers does not by itself entail that first-person avowal is the only constitutive event; that last requires P2's own argument. What runs between the four is dependence, not equivalence, and this paper does not collapse them into one sentence.

Four · This machine is itself one construct

The methodology of this system established the chisel-construct cycle: every construct carries a remainder (ρ) that it cannot chisel away.

The seven papers are one construct. They have their object, their criteria, and the things they can and cannot read; they therefore have a remainder. And the remainder is not everything Section Six has to register: there are also objects adjacent within the jurisdiction that were never set up as questions of its own, limits already established, a candidate this paper proposes, handovers whose address is already fixed, and an object-level open question that only came to light on looking back. Calling all of these a remainder would cost that word its precision inside this system. Section Six therefore registers in six slots.


Section Two · The Layers and the Method of Interfacing

This section comes before the Kant section and before the eight direct engagements. The reason is that once a line of divergence is drawn loosely, placing slides into judging, and an interface attempted before the layers have been separated will most easily read two remarks made at different layers as a head-on conflict.

One · The layers are not the same

Metaethics, value theory, normative ethics and welfare theory are not at one layer.

Metaethics asks what evaluative judgements are, whether they have truth values, and where those truth values are grounded. Normative ethics asks how right action is determined. Welfare theory asks what is good for a person. The layer this series occupies asks how a content becomes the value content of some bearer, how it runs, and what to do when two of them collide.

The distinction matters because metaethical positions mostly give no answer to this series' first question. A value realist may assign value to persons, and may equally assign it to states of affairs, to experiences, to activities; realism by itself does not settle who the bearer is. To take a metaethical position as an opponent in a dispute about bearers is to compress two layers into one.

Two · Three separate registers: constitutive dependence, truth-grounding, epistemic authority

Three questions are often carried along by one word. This section separates them and states, for each, what this series has and has not established.

Register one · constitutive dependence. Whether a particular value content depends for its holding on the bearer's avowal. This series has a definite position here: P2 established that first-person avowal is the only position on the axis of occurrence that constitutes a value content, and that avowal is not verification.

Register two · truth-grounding. What makes judgements about avowal, value and relation true. This series has taken no complete position here, and this paper does not take one on its behalf. A distinction is worth marking: that a value content comes about by constitution, and whether judgements about it have an objective ground of truth, are two different things. Even if the content comes about by constitution, the following may still be objective facts: whether he ever completed that avowal; whether that content still holds at this moment; whether the channel of revision has been closed; whether some external ascription is counterfeiting constitution. So constitutive dependence on the subject is not anti-realism about truth. Within metaethics there are several ways of drawing the line between realism and its alternatives, and of deciding whether objectivity requires mind-independence; this series does not settle that whole layer at one stroke on the strength of constitutive dependence.

Register three · epistemic authority. What the first person, the third person, and joint procedures can each know. This series has a partial position here: P4 established underdetermination before a third person, P3 established the upper limit of audit, P6 established how authority is distributed in joint audit.

This paper therefore says only this much about where the series stands in metaethics: it has a definite position on the constitutive dependence of particular value contents, a partial position on epistemic authority, and no closed position on a full semantics, ground of truth, or theory of objectivity. This is not modesty; it is a guard against readers filing the series prematurely under Humean constructivism or anti-realism in general.

Three · Three kinds of subject-relativity do not entail one another

The first is good for a person, that is, something that makes a person's life go better. The second is an agent-relative reason, that is, a reason whose form ineliminably mentions that agent. The third is mind-dependence, that is, whether some value fact metaphysically depends on attitudes, practice or rational activity.

These do not entail one another. A realist may perfectly well accept agent-relative reasons; a constructivist may construct requirements that are universally valid and agent-neutral.

What this series means by saying that value is borne by bearers falls on the constitutive side, not on the first two. To say it is borne by bearers is to say that the constitutive act by which a content becomes a value content lies on the bearer's side; it does not say that value is always good for someone, nor that every reason must mention the agent in its form. This distinction is load-bearing when Section Four engages consequentialism and Sen.

Four · Three senses of a standpoint outside the subject

The first is a mind-independent ground of truth: the truth or falsity of evaluative judgements does not depend on anyone's attitudes. The second is an impartial standpoint: an evaluative position that does not change according to who is acting. The third is a universal practical standpoint that any rational subject can occupy.

What this series' leading proposition denies is the kind of external standpoint that could pass judgement on the bearer's own standing of value. That denial falls in the second sense, and is confined to the object standing of value; it does not amount to a verdict in the first sense (see register two above), nor does it deny that some impartial evaluative position may hold for other objects. The third sense differs from the first two: the standpoint of universal legislation is not the view of an observer standing outside everyone, but the legislative position that any rational will, as a rational will, must be able to occupy. These three senses are load-bearing when Section Four engages consequentialism and the Mohists.

Five · How interfacing is done

To put a tradition into these coordinates is to say where it draws its problem and along which line it parts company with this series. It is not to say who is right.

That is not easy to keep to. Once the line of divergence is drawn loosely, placing slides into judging; and if the opponent is written a little weaker, placing becomes self-praise. This paper therefore takes a more laborious route: each tradition is first stated in its own strongest form, then the line of divergence is identified, and only then is it said which side of that line this series takes. Where this series has reached no judgement, that is written down as no judgement reached; the weakness of an opponent is not made to stand in for one's own proof.

This rule is not this paper's own invention: the Power Theory of this system already has a meta-level self-description, in which it is written that interfacing with a tradition means locating the traditions within a coordinate system, not adjudicating between them. This paper follows that.


Section Three · The Interface between Kant's Dignity and the Source Not Being Placed Outside

This section is not one of the traditions engaged. Kant is the ancestry this series acknowledges, and the relation between the distinction of dignity from price and this series is more specific than the word ancestry suggests: on one mark, the two coincide in structure.

Coincidence is not identity. This section first says where they coincide, then says how far the coincidence runs.

One · A shared negative mark

In the second section of the Groundwork Kant separates what has a price from what has dignity. The mark is replaceability: what has a price can be replaced by an equivalent, and what is raised above all price, and therefore admits of no such equivalent, has dignity.

When the prequel cleared the space of reference, the first thing it did was to cut price away. It did not do so by declaring price low and end-value high. One of the two locks on the emblem forbids exactly that reading: pearl and casket divide reference only, and are not ranked. It cut by way of conditions of constitution:

> The number of subjects is not rhetoric here but constitution: exchange requires a counterparty, conversion requires a public measure, substitution requires an equivalent; every constitutive act of price contains a counterparty position, and the constitution of end-value does not contain that position.

Substitution requires an equivalent. This sentence puts the two in contact on one negative mark. The difference lies in which side each argues from, and in what else each carries: Kant argues from the side of standing, saying that the standing of a person admits of no replacement by an equivalent; the prequel argues from the side of conditions of constitution, showing that every constitutive act of price requires a counterparty position while the constitution of end-value does not. The thought experiment of the solitary subject is the form of that showing: in a universe with only one subject, the conditions for the constitution of price all fail, and end-value holds all the same.

The coincidence here is real, and its extent must be stated exactly. Admitting of no equivalent is a negative mark. It marks the boundary between dignity and price; it is not a full constitutive account of dignity. Kant's dignity is connected further with personality, with moral capacity, and with autonomous legislation, and those are not exhausted by this one mark. So what this section claims is that the two share this one negative mark, not that this series has given a full interpretation of Kantian dignity.

Two · Four objects that must be kept apart

Pressing on from this coincidence, it is very easy to press too far in one breath. Four objects lie close together here, and this section separates them one by one.

First, the standing of a person as an end. In this series that holds prior to anyone's avowal. P1 writes that the other is an end, and this is a fact, and it holds before I recognise it.

Second, the first-person standing of value of a particular content. That holds only through the bearer's own avowal. P2 writes that avowal is not verification: the bearer is not ascertaining a fact that already exists, but taking it up within the workings of his own law.

Third, the anchoring of the source of value. This says on which side the position that gives value lies, namely that the source is not placed outside.

Fourth, the structure of colonization. This is P3's object: a content is treated at the bearer's place as though its constitution were complete, while that constitution was not accomplished within his own law.

The four are not one thing. What first-person avowal constitutes is the second, not the first: a person who does not avow his own standing as an end does not thereby lose it. The third is a structural fact about a position; the fourth is a structural event about relation and operation. Compressed into a single sentence they read forcefully and state something untrue.

Three · Colonization occupies a function; it does not take the position away

An earlier draft wrote the violation of dignity as having that constitution accomplished elsewhere, and called it the position being taken. This passage has been corrected twice, and was wrong both times, so both are recorded here. The first draft, writing the position taken, said too much and conflicted with P3's permanence of positions; the revision, writing that it is not the position being taken but only a reading, over-corrected and struck out P3's own language of occupation and introjection along with it. The correct slot lies between the two, and P3 had already written it.

P3 establishes three things at once, and all three must be said or the account will go wrong. First, no real constitution is completed outside: in establishing the structural definition of colonization P3 writes that a content is treated at the bearer's place as though constitution were complete, while that constitution was not accomplished within his own law, and what occupies that position is an external end. Second, the three positions are structurally permanent: colonization always acts on reachability and never on presence, and the constitutive position stays locked within the bearer's own law. Third, occupation, introjection and locking remain P3's own formal structural terms: in establishing that three acts fall at three positions, P3 writes that occupation falls at the position of appearance, introjection at the constitutive position, and locking at the position of revision, and in adjudicating colonization it asks head-on whether the constitutive position is occupied by an external end.

So the accurate statement is this: an external end occupies the function of the constitutive position, so that an external warrant counterfeits, in relation and in operation, a first-person constitution already completed, while that constitution was never really accomplished outside and the constitutive position was never taken away. Occupying a function and taking a position away are two different things.

This distinction also explains why P3 confines the conclusions of audit to the form of positions and signatures: the constitutive position is permanent, what the outside can obtain are readings on relation and channel, and a third person cannot close a first-person constitution out of those readings. What audit can ask is therefore only whether that position stands open or closed at this moment, and whether those paths are passable.

Four · How far the coincidence runs

The conclusion of this section can be written in one sentence:

> Kant's dignity and this series' source not being placed outside coincide in structure at admitting of no equivalent, at autonomy, and at qualification not being wholly placed outside; and they are not the same concept. Colonization is one particular structural way of violating subjecthood; it is not a full definition of the violation of dignity.

Saying coincidence is useful; saying identity does harm. It is useful because the argument from conditions of constitution, by which this series cut price away, yields from within itself a neighbouring boundary of non-substitutability, and that route need not first posit an absolute value. It does harm because Kant's dignity carries with it personality, moral capacity and autonomous legislation, for none of which this series has supplied a counterpart; to claim identity is to claim on this series' behalf what it never wrote. Nor does that boundary constitute a second proof of Kant's proposition about dignity: not needing an equivalent and never admitting of replacement by an equivalent are not modally the same sentence.

Five · Where this series stands in a live interpretive dispute

There is a dispute in Kant scholarship about dignity, and since this section's reading takes no side in it, where it does stand must be said clearly.

One side may be called the substantive value reading. Wood places the objective value of rational nature at the centre of the theory and takes the passage from the formula of universal law to the formula of humanity to be a passage from pure form into substantive content. This side tends to say that humanity has an unconditional value, and that the duty of respect is explained by that value.

The other side is not a simple formalism. Sensen objects to reading dignity as an absolute value property that we first discover and from which the duty of respect is then derived; he ties dignity and respect more closely to rational law and prescription. Bojanowski agrees that Kant is not to be read as a moral intuitionist, and yet argues against denying on that ground the absolute value of humanity, holding that the idealist structure of practical reason and absolute value can stand together.

This series takes no side in that dispute, because its account of the source not being placed outside is neither a property nor a prescription but a position. The position that gives value lies on the bearer's side, and that can be shown from conditions of constitution; the thought experiment of the solitary subject shows precisely this.

That position has its own costs and benefits within the dispute. The cost is that it cannot, as the substantive value reading can, derive a duty directly from a value: this series draws on no normative force at the object level and cannot say what a person ought to do. The benefit is that it need not answer the question that embarrasses the substantive value reading, namely what kind of thing that absolute value is. And it must be said honestly that taking no side is not the same as having resolved the dispute. What this series offers is another route, and whether that route can replace what the other two sides set out to explain is not judged here.

Six · The strongest objection from the Kantian side, and this series' two steps

There is an objection to first-person constitution that is ready to hand on the Kantian side, and it takes a strong form: humanity is an objective end, and not because a person first chose, in the first person, to have dignity; a person who does not avow his own dignity, who even avows a maxim of self-enslavement, is not thereby released from the formula of humanity.

This series agrees with that, and it was P1 that established it. P1 divided two steps. The first is a fact: this particular other too is an end, and that the other is an end holds before I recognise it. The second is a response: to recognise and to continue that fact from the first-person position, where recognition acknowledges the fact and carries it on rather than making it.

What first-person avowal achieves is never anyone's standing as an end, but the second of the four objects listed in this section: a particular content taking the standing of value under this bearer's name. The standing of an end lies at the step of fact, the avowal of a particular content at the step of response; once the two steps are apart, that objection is not aimed at a position this series holds.

There is one further thing to keep apart, and here Kant scholarship is itself divided. Respecting another's humanity and approving of every end he has chosen are not the same. Dean brings the morally good will into the core of humanity, while his critics reply that even where a person's particular choices are bad, the capacity to make choices must still be respected.

What this series gives, on the side of value theory, is one unfolding of that distinction. The three limits P6 established say what I have no standing to do with another's values: reading cannot close into a reading guaranteed to be exhaustive, standings of value admit no common external measure, and what happens in a relation is not enough to merge sources that already exist. And not one of those three says that I must approve of every content under his name. Having no standing to dispose and being required to approve are two different things; this series judges the former and does not judge the latter.


Section Four · The Eight Engaged Directly

The eight are ordered by their line of divergence, from the innermost outward: first what makes the standing of a particular content hold, then whether ranking is possible, then the question of the other, and last whether there is a standpoint outside the subject.

One limitation must be stated first. The divergences discussed below are confined throughout to one subject, the standing of a particular value content. This series does not hold that every value fact fails to exist prior to recognition: that the other is an end is a fact prior to my recognition, the structural shape of a source of value is not made by any one avowal, and the conditions and relational channels in the world hold on their own. So the fault line in this section is not whether value is discovered or constituted, but this: whether the standing of a particular end-value content under some bearer's name is constituted by his first-person avowal, or is to be explained by a fittingness, a relation of reasons, or an objective rank order independent of actual avowal.

Four.1 · Fitting-attitude theories and buck-passing

The common form of this family is not that whatever I actually like has value. It is that the evaluative standing of a thing is to be explained by what attitude is fitting towards it, or by what normative reason we have to take some attitude towards it. Brentano on what is worthy of love, Ewing on the fitting pro-attitude, Gibbard on apt feelings, and Scanlon bringing the question back into contemporary value theory, are several key nodes of one family of thought. They are not a chain of succession passed on in order, and this paper does not narrate them as one.

Buck-passing is a stronger step. Scanlon holds that being valuable is not an additional first-order reason-providing property; to say a thing is valuable is to say that it has certain other properties, and that those properties give us the corresponding reasons to value it or to respond to it in some way. Scanlon's own terms are other properties and natural properties; lower-order properties is a later convenience.

This step is often divided into a positive claim and a more contested negative one. The division is useful, and what the positive claim says must be fixed first: if it says only that value has a constitutive connection with some fitting response, most of this family accept it; if it already says that the reasons are given by other properties rather than by a value property, that is already part of Scanlon's own version and cannot be read back into earlier writers.

Here is the line of divergence. The strongest form of this family's objection to this series is not that experts know better than the person himself. It is a conceptual argument: a standard of fittingness or of reasons is not constituted by actual avowal itself. A person may actually approve of something through deception, through fear, through a false factual belief; conversely, he may fail through depression, ignorance or distorted socialization to appreciate what was worth valuing. If the evaluative standing of a content is explained by a fitting response, actual avowal may be neither sufficient nor necessary.

This series' answer does not go around that. P2, in establishing first-person avowal, writes it plainly:

> Still less is it verification. The bearer is not ascertaining a fact that already exists, is not determining whether he really does care about something, but is taking it up within the workings of his own law.

The divergence can therefore be put exactly: fitting-attitude theories tie the evaluative standing of a particular content to a standard of fittingness independent of actual avowal, and this series ties it to that act of taking up within the workings of the bearer's own law. These are two different constitutive accounts given to the same grounding question, not two observations of the same empirical fact.

The best-known difficulty inside this family comes from the same place, the wrong kind of reasons. A demon may threaten you with punishment unless you admire something worthless; you then do have a prudential reason to admire it, and that reason seems not in the least to make it admirable. So the problem is not to find a reason, but to separate, without circularity, reasons given by the object from reasons given by the consequences of the attitude. Rabinowicz and Rønnow-Rasmussen, and Olson and others, have treated this difficulty specifically. If in the end the right kind of reason can only be defined as the kind that reflects the value of the object, then the direction of explaining value by reasons has come back round. This paper does not adjudicate that difficulty; it notes only that it arises at the same place as this series' line of divergence.

Four.2 · Scheler's material value ethics

This tradition is not on the usual list. This paper engages it because it is the most direct opponent of this series' leading proposition.

Scheler takes values to be objective value qualities given in intentional feeling, and holds that there is an objective order of higher and lower among value modalities. His basic value modalities are four: the agreeable and disagreeable, vital values, spiritual values, and the holy and unholy. The useful is not among these four; it is a derivative value founded on the agreeable, and Scheler's own term for it is derivative or consecutive value. There are reconstructions in the literature that give the useful a stronger place, and there are rebuttals of those reconstructions on the strength of the text; this paper takes the four of the text and records that disagreement.

A straw man must be avoided first. Scheler's rank order is not the ladder the prequel rejected. The ladder the prequel cut away puts values of different layers onto one measure and ranks them; Scheler's order denies precisely that there is a homogeneous unit. The two traditions do not diverge over the measure but over the ground of the order. Nor may it be inferred from this that the layers are incomparable for him: he positively holds that there is an objective higher and lower.

The divergence is one of foundations, and it cannot be adjudicated within shared premises. Scheler places the ground of the value order in disclosure through intentional feeling; this series ties the standing of a particular value content to the bearer's own law and to first-person constitution. The two have no common ground, and therefore do not prove anything against each other. This series' leading proposition can refuse that rank order only within this series' own premises; it does not constitute an internal refutation of Scheler, and equally, Scheler's rank order does not constitute an internal refutation of this series.

This is where the discipline of placing rather than adjudicating bears the most weight. To say that this series has already refuted Scheler is to take one's own premises for public ones; to say that the two cannot speak at all is to erase a real divergence. The accurate statement is one sentence: the divergence lies at the foundations, and the choice of foundations is not settled by either side's internal argument.

What connects with the previous tradition is this: both tie the evaluative standing of a particular content to something independent of actual avowal, one to fittingness and one to an objective rank order. P2 carries the constitutive side of both divergences. And Scheler has one further point that P2 does not settle: his objective rank order also parts company with P1's no common external measure.

Four.3 · Consequentialism and agent-neutral value

The line of divergence changes here. The previous two disputed what makes the standing of a particular content hold; this one and the next dispute whether ranking is possible.

The most general form of consequentialism is not the maximization of pleasure. It ties the rightness of an action functionally, in some way, to an evaluation of outcomes: which total outcomes are better does not change according to who is acting. That is the agent-neutral version; there are also agent-relative versions that allow each agent his own evaluative function.

A straw man must be avoided first. A standard maximizing model usually assumes a sufficiently rich ordering of outcomes, while cardinal utility and a single physical unit are not requirements of consequentialism as such; many versions do with an ordinal better-than relation. Nor is it a logical truth that the ordering must be complete: a version admitting incomparability and working with a partial order can still select maximal elements, though not necessarily a unique best.

Where the line of divergence lies has to be separated first. A general agent-neutral consequentialism needs an evaluation of outcomes that does not change with the identity of the agent, and what it evaluates need not be any person's standing of end-value; the two are not the same. This series treats how a particular value content comes to hold under a bearer's name; it is not a complete theory of the value of states of affairs, and therefore cannot directly supply consequentialism with an evaluative function over outcomes. That is in the first place a matter of something not supplied, not a head-on conflict. And the three senses distinguished in Section Two are to be kept in mind: what consequentialism needs is impartiality in the second sense, not necessarily a mind-independent ground of truth in the first.

What this series can say here must be said in three layers, or the ordering of outcomes will be pressed back into the standing of value.

The first layer is what is not supplied. Consequentialism hands the evaluation of outcomes and states of affairs to a theory of the value of states of affairs; what this series treats is how a particular value content comes to hold under some bearer's name. These are not the same module awaiting completion, and this series cannot supply that function.

The second layer is a definite conflict. If some version places a bearer's standing of value itself onto a common scale, or takes its ordering of outcomes directly from that scale, it conflicts head-on with no common external measure. That conflict is real.

The third layer is what is not judged. If the ordering of outcomes uses welfare, harm, resources, capabilities, satisfaction of rights, risk or some other informational basis, then what it orders is not any person's standing of value, and this paper cannot support or refute it on the strength of value theory alone. An agent-neutral evaluative position and an external position that could pass judgement on a person's standing of value are not the same thing; equating them is exactly the kind of back-flow barred in Section One.

And so, that this series holds standing to admit only of holding or not holding, and not of amount, does not prove that a complete ordering of outcomes cannot be had: even where one input takes only presence and absence, one may still build a lexical order, set inclusion, counts of satisfaction, priority rules or other outcome variables. That this series has not supplied a theory of outcomes is true; that this series has proved that no complete outcome function can be had is not.

The objections from the deontological side and this series' own form a neighbouring opposition on certain agent-neutral totalizing moves, while their grounds and their subjects are not the same. Agent-centred restrictions say that some acts should not be performed by me even if performing them would reduce the total quantity of like wrongs. Scheffler's agent-centred prerogative is milder: even granting that the best total outcome is a genuine reason, an agent may have a permission not to sacrifice his own projects in a fully impartial way. Williams' integrity objection holds that treating a person's projects as merely one input into the world's total utility function changes his relation to those projects.

Korsgaard has warned of one thing: agent-relative and deontological are not logical synonyms, and that formal distinction cannot be equated directly with the division between consequentialism and deontology. That reasons belonging to whom, reasons mentioning whom, and reasons being shareable are three things easily run together is this paper's own summary, not her words. This series is not filed under agent-relative value theory merely for sharing an opponent with the deontological side: what this series judges is not whether reasons mention the agent in their form, but on whose side the position that constitutes a value content lies.

Four.4 · Sen, and the cross-subject informational basis of public evaluation

This is the hardest of the eight to hold off, and what it brings to light is not a question about where one quantity belongs but a whole stretch of ground this series has never entered.

Three equations must be removed first: preference is not utility, and utility is not welfare. In formal theory preference is usually a comparative relation among options. Utility in modern decision theory is in the first place a representation of preference, not a Benthamite quantity of psychological pleasure open to direct observation. Welfare says how a person's life goes for that person. A preference-satisfaction theory of welfare may treat satisfied preferences as constitutive of welfare or as its indicator, but that is a substantive theoretical assumption, not the mathematical definition of a utility representation.

Harsanyi's theorem can be held off. Under expected-utility axioms and certain consistency conditions, social evaluation has a representation as a weighted sum of individual utilities. What is at issue is an aggregation theorem, not an impartial-observer theorem. Its domain is common lotteries, that is, options over the same set of probability distributions; both individual and social preferences must satisfy expected-utility structure; and only with a Pareto or consistency condition added, in particular that if everyone is indifferent between two lotteries then society is indifferent too, does it follow that social utility is an affine or weighted sum of individual utilities. That does not show that a measuring rod of utility exists in nature. Cardinality comes from the lottery axioms, and gives each person a scale unique only up to a positive affine transformation; interpersonal comparability of units does not arise from this representation theorem by itself, since a change in an individual's scale can be absorbed by the weights. To make an equally weighted aggregation ethically unique still requires a normalization or another bridge. What this series objects to is not this theorem.

Sen cannot be held off, because he does not want that rod. He separates three questions: measurability, interpersonal comparability, and aggregation. Measurability concerns how much information a person's utility representation preserves; interpersonal comparability concerns whether meaningful comparisons can be made between different persons' representations; aggregation concerns combining them into a social evaluation. These three may not be run together, nor may any one of them be inferred automatically from another. And it must be put precisely: aggregation is the operation of forming a social ordering out of individual information, and is not a third dimension of measurement of the same type as the first two. What Sen holds is partial comparability: between full comparability and complete incomparability there is a structured middle ground, from which partial social orderings can be had without pretending that a perfect rod exists.

What this tradition brings to light must therefore be stated afresh. It is not the question of which side one quantity falls on. It is this:

> What is the relation between the various informational bases used across subjects in public evaluation, and first-person standing of end-value.

Under that question lie at least five things, on none of which this series has passed judgement: what welfare, utility, capability, resources, health, opportunity and outcome each have as their subject; which of them can be jointly verified; which can form partial comparisons or public orderings; why they do not thereby flow back into an individual's standing of value; and, when a public evaluation acquires force for action or for institutions, where that force comes from.

The half this series has said must also be said exactly. P6 writes that the standings of two bearers' respective contents admit no common external measure, while the conditions, options and consequences in the world can be checked together and those readings do not flow back into standing. So this series does not forbid every cross-subject comparison; what it forbids is letting the readings of comparison flow back into the standing of value. On the five things above, this series has given neither their several subjects nor a complete account of their relation to standing. The registration is in Section Six.

Four.5 · Recognition theory

The line of divergence changes again, from ranking to the other.

This tradition is not one unified claim, and its layers must be separated first. Hegel's recognition is stated within the developmental structure of consciousness and of right. Honneth divides recognition into three: love, rights, and solidarity, corresponding to self-confidence, self-respect and self-esteem, and holds that the absence of recognition, in the form of disrespect, injures these practical self-relations. Fraser objects to understanding recognition as an intersubjective psychological relation and holds a status model, on which the core of misrecognition is that institutionalized patterns of cultural value prevent someone from participating as a peer, so that it must be treated together with redistribution; and in her framework cultural patterns are not the only obstacle, since a lack of resources likewise impedes participatory parity. The disagreement between Honneth and Fraser can be reconstructed as one about the object, the level of explanation, and the social ontology of recognition. That is an interpretive reconstruction, not a neutral description both sides share: Fraser would stress status order and participatory parity, while Honneth holds that social conflict and institutions can be understood within a more basic grammar of recognition.

This tradition is not the simple contrary of this series. In the Hegel-Honneth line the core of mutual recognition demands precisely that the other be taken as an autonomous and competent judge rather than as an object under assessment. That runs in the same direction as the three limits P6 established, not against them.

The line of divergence lies elsewhere, and it falls on only one of the two lines. The Hegel-Honneth line denies this picture: that a complete and autonomous subject exists independently first and then contingently comes into relation with others. And this series' thought experiment of the solitary subject positively holds that the minimal conditions for end-value to hold require no counterparty; P1 further writes that a solitary subject is self-sufficient with the formal remainder position left empty.

Here the two really do part. Recognition theory holds that the practical self-relation depends on structures of recognition; this series holds that end-value does not depend for its holding on a second subject, and that what recognition achieves is something else. This series does not deny that relations do a great deal to form a person: P1 in establishing cultivation and P3 in establishing colonization both say that what is outside does reach in. What it denies is that the constitutive act by which a content becomes a value content requires a second party. Dependence and constitution are two different things.

Fraser's line is adjacent to the institutional slot registered in Section Six: she ties misrecognition to institutionalized patterns of cultural value, while this series caught sight of institutions in treating common contents and the external measure, and never set them up as a question of its own. That sentence says where the material lies; it does not hand that slot to anyone.

Four.6 · Levinas

This tradition's relation to this series is the least even: half close, half in head-on conflict, and the conflict falls exactly where this series is most exposed.

A limitation first. Taking the irreducibility of the other as one's point of departure points most accurately to Levinas alone. Buber's philosophy of dialogue, Løgstrup's ethical demand, and Derrida's inheritance of and criticism of Levinas all lie near this direction, and their theoretical structures differ widely. Grouping them under one heading is an analytic grouping this paper makes for convenience of exposition; it is not a self-identified school with a unified doctrine. So Levinas alone is the object here.

His most distinctive reversal is this: the ethical relation is not that a knowing subject first identifies another as having some property or value and only then incurs an obligation; rather, in the face-to-face encounter the other presents himself in a way that cannot be wholly absorbed by my concepts, and I find myself already placed under responsibility. The other of Totality and Infinity is an exteriority, and that is not merely being outside me in space: the other cannot be reduced to my representation, my concept, or a content within my totality.

The close half. I cannot claim, by a totalizing cognition, to have wholly grasped who he is. That runs in the same direction as the first of the three limits P6 established: for a particular other's values, third-person evidence cannot close into a reading guaranteed to be exhaustive. Both refuse the same thing, namely settling the other side with a representation of one's own making.

The conflicting half, and it conflicts cleanly. The other's ethical demand does not hold on condition of my avowal; in the structure of meaning, responsibility even precedes my freely accepting it. And what this series establishes is precisely that a content becomes my value content only through my own first-person avowal.

Where the divergence really falls can be put more exactly, and here there are two readings. If that responsibility is read as a kind of value content, the two conflict head-on, and this series' answer is P2's sentence, that avowal is not verification. If that responsibility is read as a normative demand this series does not treat, the two do not conflict but speak past each other, since this series draws on no normative force at the object level. This paper sets out both readings and does not adjudicate which is right. That is the price of keeping to the discipline of placing rather than adjudicating; it is not evasion.

There is one further point available as a structural analogy. He does not stop at the incomparability of each single other. Once a third party appears, that is, another other and all the rest, one must ask how infinite responsibility to the person before me is to coexist with the demands of the others. Justice, comparison, deliberation and the necessity of institutions arise from there; this is the argument in Otherwise than Being, where the third party is the birthplace of the limitation of infinite one-directional responsibility and of the question of justice, and comparison and judgement unfold in the passages that follow. So it is inaccurate to say that he always refuses all comparison; accurately, comparison is derivative, forced upon the ethical relation by a plurality of others.

And P6's scope turns at the same place: its second section speaks of one particular other, its third of two bearers, its fourth of the whole, and the third is precisely where comparison first becomes a problem. The shapes may be set side by side as an analogy: when the move is made from two to many, comparison becomes a question that must be answered. But this is an analogy and not an isomorphism: his third party is a question of justice forced out of infinite responsibility from within the ethical relation, while P6's widening scope is this series' own order of argument; their objects differ, and so do their answers. He moves towards justice and institutions, this series towards conditions in the world that can be checked together while their readings do not flow back into standing.

Four.7 · The ethics of care, and adaptive preferences

This tradition strikes at the slot registered in Section Six about subjects-to-be, and it brings the hardest question of the eight.

What the ethics of care commonly opposes is not all principles, but the picture on which the mature moral agent is presupposed as independent of others, with dependence an occasional exception. It begins from dependence, care, vulnerability and concrete relations. Tronto divides care into four phases, caring about, taking care of, care-giving and care-receiving, with four corresponding moral qualities, attentiveness, responsibility, competence and responsiveness. The two sets are not one set, and this paper keeps them apart as in the text. Kittay pushes ineliminable dependence and the labour of care to the centre of theories of justice. Relational autonomy, as a development, does not deny self-determination; it holds that the capacity for self-determination itself depends on social relations and institutional conditions.

The first divergence need not be made into an opposition. This series takes bearers as its unit and this tradition starts from relation and dependence; but this series does not deny that relations do a great deal to form a person. What it denies is only that the constitutive act by which a content becomes a value content requires a second party. Dependence and constitution are two different things.

The hard one is the second, and this series cannot answer it in full. By way of adaptive preferences the objection can be put sharply: a person raised under long-term disadvantage may sincerely report herself satisfied, and that satisfaction may be exactly what the disadvantage has shaped. If a content takes standing under her name merely by being avowed in the first person, can a third party say that the avowal itself is defective?

An earlier draft answered this as a choice between two: either it really is her own, or it is colonization, and a third person cannot tell which. That dichotomy left out too much. She may sincerely avow on the strength of seriously mistaken facts; she may sincerely avow among extremely restricted options; the avowal may be genuine while living by it damages her health and her opportunities; preferences may be formed under oppression without her thereby losing agency; and one content may at once contain a genuine avowal, external shaping, and conditions from which there is no exit. The literature on adaptive preferences is itself divided on these, and there is no acknowledged simple pair of boxes.

What this series can give here is one ledger, not the whole set.

Ledger What it asks What this series has
Standing of valuewhether this content has taken her first-person avowalconstitution is completed by the bearer in the first person; a third person may form fallible, revisable judgements, and may not stand in for her avowal, nor raise his judgement into a final certification
Welfare and interestwhat living by it does to her health, capabilities, opportunities and conditionnot established by this series
Power and rightswhether there was coercion, blocked paths, manipulation or absence of exit in the process of formationpartly established; the Power Theory and the Rights Theory hold the rest

The three ledgers may hold at once, and they do not settle one another automatically. That a content has taken standing on the first ledger earns it no marks on the second; that a blocked path is found on the third does not automatically cancel its standing on the first, but says that this place must be audited separately by P3's criteria.

So this series' answer to this tradition, stated exactly, is this sentence: it can add to the discussion of adaptive preferences one ledger of constitution and channels. A third person may form fallible and revisable judgements about positions and channels; he may not stand in for the person's avowal, nor raise his judgement into a final certification. And this series cannot use that ledger to replace the evaluation of welfare, the scrutiny of rights, and the judgement of fact. Those three it has not established, and this paper does not establish them on its behalf.

One point of wording is worth noting. That the ethics of care has no single measure does not mean that anything goes; what it asks for is context-sensitive practical judgement. And the term for judgement appears nowhere in the seven papers and is nowhere set up as an independent explanatory device, its full theoretical work having been handed by P5 to the Theory of Action. So this series does not contend with it here; the two are simply not speaking on the same ground.

Four.8 · The Mohists: standards, and the benefit of all under heaven

The last of the eight strikes at the second of the three senses distinguished in Section Two: whether there is an evaluative position that does not change according to who is acting.

The Mohists set up standards and models, Fa Yi, and hold that one who governs cannot be without standards, and that standards are not to be taken merely from one's parents, one's teacher or one's ruler, but are best taken from Heaven. Here fa means norm, standard, model; it is not legislation in the modern sense. Impartial care and mutual benefit, jian xiang ai, jiao xiang li, are set up as a public standard, appealing to Heaven's impartiality: what Heaven desires is to be done, what Heaven does not desire is to be stopped. This is the tradition among all those engaged here that comes closest to a public standard of adjudication rising above each private standpoint.

Its own context must be preserved and not modernized. The Heaven of the Mohists is not a neutral observer's position; it has desires and aversions, and rewards the good and punishes the violent. Standards are taken from Heaven because Heaven's conduct is broad and impartial. To write this as a personal God in the modern sense is contested, and this paper does not take that step. It should also be recorded that the Mohists are not simple divine-command theorists: they also explain by independent reasons, of rightness, benefit and order, why Heaven's will is worth taking as a standard. This resembles in form the impartial evaluative standpoint consequentialism requires, while its ground differs: consequentialist impartiality is a methodological requirement, Mohist impartiality is a cosmological ground. To write the Mohists as Chinese utilitarianism is inaccurate, and would cost this interface its value.

The line of divergence here has been corrected twice and needs correcting once more, and this time backwards. An earlier draft cited Fei Yue and Jie Zang as showing that the Mohists, on the ground of the benefit of all under heaven, judged what some people cherish to be improper, and had thereby reached into the side of the holding of value; the revision narrowed this to a question awaiting proof. Having gone to the text, something stronger must be said: the text itself never took that step.

Fei Yue, Against the Use of Music, expressly grants that music is pleasing to the ear, that ornament is beautiful to the eye, and that fine food is sweet to the mouth, and only then, because rulers cast instruments, levy taxes and take up labour, judges that it does not accord above with the affairs of the sage kings and does not accord below with the benefit of the myriad people. Jie Zang, Moderation in Funerals, likewise tests lavish burial and prolonged mourning, as an institutionalized practice, against wealth, population and order.

So what the Mohists judge is the making of music and the practice of lavish burial as public practices, as affairs of government and as allocations of resources; it is not a demonstration that what is cherished is unworthy of being cherished. Fei Yue even contains a sentence that all but rules out this misreading in advance.

The objects of the two therefore do not overlap. Mohist standards judge conduct and government; this series judges how a content becomes the value content of some bearer. And one question may still be asked:

> Can a public standard restrict actions organized out of a person's values without thereby acquiring the standing to rewrite that person's standing of value?

That question falls precisely on the two bars on back-flow set up in Section One. If a public standard works only on the side of action, it does not conflict with the second bar; if it goes further and lets a judgement of conduct flow back into a judgement of that person's standing of value, then it conflicts with this series. On the Mohist text, the two chapters examined above fall on the former side: what they judge is practice and government, and there is no back-flow.

The divergence therefore lies neither in whether there is a public standard nor in whether the Mohists crossed an axis. It lies elsewhere: this series denies that there exists an external coordinate system able to pass judgement on a bearer's own standing of value, and Mohist standards never claimed that standing. The two do not conflict here, and that is exactly where the value of this interface lies: a tradition that holds a public standard without reaching into the holding of value shows that a public standard and this series' leading proposition can stand together.

One neighbouring point in passing. The contrast between the Confucian line and this series falls elsewhere, not on the question of a standpoint. Shu, what you do not want done to yourself, do not do to others, takes one's own side as its starting point and extends to the other. This series' step does not run that way: that the other is an end is in this series a premise, not a conclusion drawn from my being an end; only after the two standings of being an end have each been established does the source not being placed outside give an isomorphic structure on both sides. So both enter the relation to the other from first-person language, while the structures of inference are not the same. Shu has no single fixed English rendering, and this paper does not compress it into reciprocity in the modern sense of exchange. This paper therefore treats it as a contrast only, not as an ally; the placement is in the next section.


Section Five · Where the Other Seven Stand

These seven do not conflict directly with this series, or the point at which they would has already been covered by one of the eight. Only their place in the coordinates is given here.

The three dividing lines in metaethics. Cognitivism and non-cognitivism divide over whether normative judgements have propositional content capable of truth and falsity. Realism and error theory divide over whether such discourse systematically fails; Mackie holds that ordinary moral judgements presuppose objective values that do not exist in the world, and are therefore, on their face-value semantics, systematically false. Positions that make truth-grounding independent of attitudes and positions that make it mind-dependent divide over that. Section Two has said that these three lines do not by themselves settle who bears value. And by the three registers of Section Two, this series has taken no position on truth-grounding, and therefore has no place to mark on any of these three lines. That is not an omission; it is a place left unclosed.

Constructivism. This is the one most worth stating precisely, because it lies nearest to this series. Korsgaard's procedural realism says that normative questions have correct answers because there is a correct procedure of practical reason, not because the procedure discovers an independently existing normative domain. Street ties the substantive content of reasons to an agent's contingent evaluative starting points; her 2006 paper is a challenge to realism, and her 2008 paper the positive statement of constructivism about reasons.

Near, and not to be filed under it, and this distinction must be written exactly. What Street calls an evaluative starting point is an overall standpoint structured by reflective consistency, not one explicit act of first-person avowal; what this series establishes is a constitutive event, namely that a content which has already taken a candidate position within some domain of sources acquires, within the workings of the bearer's own law, a standing that can be drawn on, restated and revised. The two may be near in rejecting that value is wholly independent of evaluative activity, while this series has at present given no complete theory of reasons, no theory of truth, and no procedure of reflective consistency, and therefore cannot be formally filed under Humean constructivism. That sentence and register two of Section Two mark the same unclosed place. It should also be noted that Korsgaard's own term realism is very broad there, its contrary lying near a nihilism about normativity, and it should not be made to carry too much later taxonomy.

Agent-centred restrictions and the prerogative on the deontological side. They form a neighbouring opposition with this series while their grounds and subjects differ, and Section Four has engaged them. Only Korsgaard's warning is added here: agent-relative and deontological are not logical synonyms, and that formal distinction cannot be equated directly with the division between consequentialism and deontology.

Value pluralism and incommensurability. Three words must be kept apart: incommensurability is the lack of a common unit of measure; incomparability is that no comparative relation holds between two items; the former does not entail the latter. Chang sets up a fourth relation, parity, on which two items under some covering consideration are neither better nor worse nor equal, and yet remain within one evaluative space.

Where this series stands in this slot can be said only this far, and an earlier draft said more than it should. This series holds definitely that standings of value admit no common external measure, and rejects the predicates better, worse and equal. Whether it further holds that they are incomparable, or allows some non-metric relation of the sort parity names, is not judged by the existing object-level texts. The earlier draft argued from the fact that conditions and consequences in the world can be checked together that this series does not fall into the incomparability slot; that step does not go through: that objects on the side of the world can enter joint evaluation says nothing about whether some positive comparative relation holds between two standings of value. The registration is in Section Six.

Preference, utility and welfare in economics. The three equations must be removed: preference is a comparative relation among options, utility is in the first place a representation of preference, welfare is how a person's life goes for that person. Price was routed out by the prequel when it cleared the space of reference. And preference, utility and welfare still have to be placed separately: their relation to standing of end-value cannot be settled on the strength of price having been routed out. The place where contact is really made is Sen, engaged in the previous section.

Harsanyi's representation theorem. Under expected-utility axioms and certain consistency conditions, social evaluation has a representation as a weighted sum of individual utilities. This does not show that a natural measuring rod of utility exists; it shows only that under explicit normative and representational conditions aggregation can have a strict structure. And what it does not settle must be said: it does not by itself answer which welfare information can be compared interpersonally, where the weights come from, or what the normative ground is. What this series objects to is not this theorem, and the two do not stand in opposition.

The Confucian line. Shu, what you do not want done to yourself, do not do to others, takes one's own side as its starting point and extends to the other. This series does not infer from my being an end that the other is an end: that the other is an end is a separately established premise here, and only after the two have each been established does the source not being placed outside give an isomorphic structure on both sides. Both enter the relation to the other from first-person language, and the structures of inference are not the same. This paper therefore treats it as a contrast only, not as an ally. It should also be said that one should not pretend there exists a unified East Asian theory of value: the Confucian and Mohist lines appear separately in this paper precisely because they stand far apart on the question of a standpoint.


Section Six · The General Ledger of Boundaries and Destinations

This section registers the places where this machine did not go on.

Identities must be sorted before registering, because reading places of different provenance as one kind makes a registration look complete while it is not. Every construct carries a remainder, as the methodology established; and what has not been written on is not of one kind only. This section therefore registers in six slots.

Slot What it is What is registered here In sections
Onea remainder left by this constructwhether another bearer can come to hold on other conditionsone
Twoobjects adjacent within the jurisdiction, never set up as its own questionsinstitutions; the cross-subject informational basis of public evaluationtwo, three
Threea limit already establisheda third person has no external threshold at a subject-to-befour
Foura research candidate proposed by this paperthe developmental history of a subject-to-be's first-person operationfive
Fivehandovers whose address is already fixedTheory of Action, Theory of Meaning, Power Theory, Rights Theorysix
Sixan object-level open question that came to light on looking backwhat relation, if any, remains between standings of valueseven

The second slot occupies two subsections, so slot numbers and subsection numbers run one apart from the third slot on. Each subsection below carries its slot number.

One · Slot one · A remainder left by this construct: whether another bearer can come to hold

Those people by the river cleared the silt together, stopped a sand-dredging operation, and put in money to repair a stretch of embankment. What P6 judges is that those undertakings do not of themselves yield the conclusion that their sources have merged; the ground is that each person's source is anchored in himself, and that the directions of several sources crossing does not amount to their becoming one.

It did not judge one further thing, and it expressly declined to. P6's words are: as to whether another bearer can come to hold on other conditions, this section does not ask; and even if one did, that would not mean that the sources of the original people had been swallowed by it.

This place is an express reservation, and it is also a remainder. The first of those follows from P6's declining to judge. The second needs a further proof, and that proof cannot be derived directly from any substantive proposition at the object level; it must be given by the input form of the machine as a whole together with P6's express reservation.

Every source-position, constitutive and operational predicate in this series takes an already established bearer as its subject. P1, in establishing the domain of bearers, gives who can bear end-value, namely complete subjects and subjects-to-be, and not how a new bearer comes about; it says that a bearer's qualification as a bearer of end-value and the non-externality of his source of value are both present as of now, and it says that giving up a door is a matter of operation and not a loss of the qualification to bear. For the type transition from several subjects or a relational structure to a new bearer, there is no corresponding predicate of occurrence in the seven papers.

And this is not merely a ready criterion left unwritten by accident; what it exposes is that the current machine's input types lack one piece of transitional machinery. The reason is this. If one insisted on using the existing source-position and constitutive predicates to explain that transition, one would first have to take the bearer still awaiting establishment as the subject of those predicates, and the argument would be circular. It is this failure of absorption, produced by the input types themselves, that is the reason for registering it as a remainder.

Two things do not follow from this, and must be written down nearby. First, it does not say that a third person cannot describe the conditions under which a new bearer forms: describing conditions of formation and standing in for constitution are two different things, and the second bar on back-flow in Section One bars the latter, not the former. Second, it does not prejudge whether a relation can be a cause or a condition in some particular coming-to-hold; P6 expressly declines to judge that, and this paper does not judge it on its behalf.

The limits of the reservation must also be stated exactly, or the registration will itself overstep. What P6 laid down is that what happens in a relation is not of itself enough to yield the conclusion that sources have merged, nor enough to show that a new bearer has come to hold; it did not judge whether a common relation can be a cause or a condition in the forming of some bearer, and it wrote that it does not judge it. So all that can be registered here is one sentence: if another bearer comes to hold, its structure as a bearer and how its source position was acquired must be given separately, while source positions are given with the bearer's structure, as P1 established. Whether a common relation counts in that coming-to-hold, the Value Theory does not judge.

Two · Slot two, first item · An adjacent object: institutions

P6 writes that what is done together, the rules laid down together, and what is kept together are not in themselves at fault for being common, and gives the conditions under which a common content becomes an external measure. That judges whether it has overstepped; it does not say what it is. And from beginning to end this series never set up what institutions are as a question of its own; even raising it was incidental.

Being caught sight of in passing and being expressly not judged are two different things. In the former the series never asked at all, so there is nothing reserved; it is therefore not a remainder but an object adjacent within the jurisdiction. If anyone takes it up, what is taken up had better not be the question of how institutions as such are possible, which is too wide, but the stretch this series caught sight of: under what conditions common rules, common decisions and common arrangements acquire institutional structure.

Section Four, in engaging recognition theory, noted that Fraser ties misrecognition to institutionalized patterns of cultural value. That line is the nearest material to hand for this slot. That sentence says where the material lies; it does not hand this slot to anyone.

Three · Slot two, second item · An adjacent object: the cross-subject informational basis of public evaluation

Section Four, in engaging Sen, caught sight of another place, and it is far wider than an earlier draft made it.

The half this series has said is: standings of value admit no common external measure, while the conditions, options and consequences in the world can be checked together, and those readings do not flow back into standing. So this series does not forbid every cross-subject comparison; what it forbids is letting the readings of comparison flow back into the standing of value.

And this whole stretch beneath it the series has never entered: what welfare, utility, capability, resources, health, opportunity and outcome each have as their subject; which of them can be jointly verified; which can form partial comparisons or public orderings; why they do not thereby flow back into an individual's standing of value; and, when a public evaluation acquires force for action or for institutions, where that force comes from.

This is likewise not a remainder but an object adjacent within the jurisdiction: the series caught sight of it in treating cross-subject comparison, and never set it up as a question of its own.

This section does not write its destination. By the definition set out in Section Seven, writing down a destination is a forward assignment and therefore a debt; and this paper, which lays down that rule, opens not one debt of its own.

Four · Slot three · A limit already established: a third person has no external threshold at a subject-to-be

An infant who cannot yet say what he wants: his source of value is not mine to give, and P6 judges that firmly. P6 also writes that how far particular value contents have come about under his name is not judged by whether he can speak, since speech was never a necessary signature of avowal.

That sentence is often read as this series owing a measure here. It is not. In the same passage P6 gives a threshold: he cannot yet be the first-person avower of that content, because that row is not yet actually running within him. And that threshold gives the domain of definition of that one content; it is not a general threshold for every particular value content of a subject-to-be. What would need a measure is a different question: how far along that row's running has come.

And on that question, what this series judges is not that it has not given one but that it cannot, and it has judged this already. P2, in establishing the axis of occurrence, writes that avowal may happen in an instant and may also take shape by degrees and settle only after years, and that length of time does not judge this. P4, in establishing external underdetermination, writes that there is no set of external signatures both necessary and sufficient and transferable to another person. Taken together, a third person has no external threshold by which to determine finally how far a value content has come about at a subject-to-be.

This is a negative conclusion already established, not a hole waiting to be filled. It stops the theory from going further in that direction, and that is a result of the theory, not a gap in it. This section therefore lists it in the third slot and not among remainders.

This slot and the first slot are not the same question; the two ask at different layers. The first asks whether a new bearer comes to hold, which is a transition of bearer type and belongs to ontology and occurrence; this one asks, of a subject-to-be already within the domain of bearers, when some running of his reaches some state, which belongs to epistemic authority. The first currently lacks a predicate of occurrence; this one has already secured the conclusion that there is no external final threshold. All that can be said of the two is one sentence: both expose the limit that external reading cannot stand in for first-person structure. That is where it stops, and no further merging is permitted.

This series comes to a stop here, not because its criteria have only one form. It has criteria of other forms, for instance P5's revocability, of which P5 writes that the subject is the action. The reason it stops is that this series has already cut two things apart, and P4 makes that cut most plainly: facts within a relational structure can be told apart, and telling those facts apart does not turn into a determination of constitution. A third person may obtain fallible and revisable readings of conditions of formation, of relational positions, and of the channels of expression and revision, and those facts can enter joint verification; whether an avowal has already occurred as a first-person constitution cannot be closed out of those external facts.

Five · Slot four · A research candidate proposed by this paper: the developmental history of a subject-to-be's first-person operation

Cast into view alongside that established limit is a candidate this paper proposes: whether the way a subject-to-be's first-person operation gradually comes to be actually running admits of a separate description.

It is a suggestion this paper makes; it is neither a boundary the series left nor a remainder. If anyone writes it, one thing must be laid down in front: such a description may not turn round into an external procedure for certifying that at this point a value content has come to hold. Cross that line and it falls back on the side this series has already judged.

The three ledgers used in Section Four, in engaging the ethics of care, are the practical use of that line: this series explains which relational positions and channels can enter audit, and it also explains that a third person's judgement may not stand in for a first-person constitution, and may not be raised into a final certification.

Six · Slot five · Handovers whose address is already fixed

The first four slots are places where the series did not go on. Four further places are not that: they were handed over, and who receives them is written in the published texts.

The whole branch of action was handed to the Theory of Action. P5 writes in closing: how an ordering of action forms, how it is carried out, how it is looked back on afterwards, and how judgement, habit, hesitation and capacity enter into it, are handed over entire to the Theory of Action; this paper does not use them and passes no judgement on them. Judgement is among them. The term appears nowhere in the seven papers and is nowhere set up as an independent explanatory device.

How a content is thereafter carried on by one and the same life goes to the Theory of Meaning. P5 and P6 both make this handover. P6's words in closing are: how the content that the other can have values of his own, and that this is not mine to give, is thereafter carried on by one and the same life, goes to the Theory of Meaning. P6 states that handover expressly in its closing and does not further explain its relation to the old prospect address.

Direction-value goes to the Power Theory. That branch was routed out when the prequel cleared the space of reference, and P1 writes again in establishing sources that direction-value goes to the Power Theory, whose severing requires two subjects. The sole object of the Value Theory is end-value.

How the boundary is put in question when two subjects meet goes to the Rights Theory. P5 writes in establishing adjudication: he is looking at what this move will touch in whom, at where that boundary is being touched, and how that boundary is put in question, and by which mode a dispute is handled, goes to the Rights Theory. The boundary of encounter and the two modes of handling have already been established by the Rights Theory in its paper on the thickness and boundary of basic rights.

Being assigned is not being completed. This paper registers addresses only and does not perform the receiving series' acceptance. These pieces of work no longer belong to the writing tasks of the Value Theory's object level, while the published accounts of the corresponding forward assignments still have to be settled item by item. The current state of the four is as follows. This section registers only as far as this column, and completes no acceptance here.

Destination What was handed over What can be registered now
Theory of Actionformation, execution and retrospection of an ordering of action; judgement, habit, hesitation, capacityaddress fixed; whether discharged is to be verified separately
Theory of Meaninghow a content is thereafter carried on by one and the same lifeaddress fixed; whether discharged is to be verified separately
Power Theorydirection-valueaddress fixed; whether the existing texts discharge it is to be verified separately
Rights Theorythe boundary of encounter and the two modes of handlingaddress fixed; the text has pointed to the corresponding substance, and it may still be verified separately

Seven · Slot six · An object-level open question that came to light on looking back: what relation remains between standings of value

Standings of value admit no common external measure, and the predicates better, worse and equal have been excluded by P1, P5 and P6. But whether it is further held that no comparative relation of any kind holds between two standings of value, or whether some non-metric relation is allowed, the existing object-level texts have not judged.

Section Five has explained why the fact that conditions and consequences in the world can be checked together cannot answer this question on the series' behalf: objects on the side of the world can enter joint evaluation, and that says nothing about whether some positive relation holds between standings of value.

This paper registers this as unjudged and does not obtain an answer on its behalf.


Section Seven · A Forward Assignment Is a Debt

Why this paper only registers and does not promise: the reason is in this series' own record, and that record concerns this paper.

What layer this section establishes must be said first. It is not a norm at the object level of value theory; it does not say what a person ought to do. It is a discipline of publication: how a pointer written into a published text is thereafter to be settled. The rule that no normative force is drawn upon at the object level remains in force in this section.

One · What counts as a forward assignment

Without a definition, every sentence pointing to the future becomes a debt, and the slots of Section Six would then conflict with themselves.

A forward assignment is this: a published text, in a definite mood, hands a specific and unfinished piece of work to an already named subsequent paper, series or theoretical position, and settles the scope of the present paper by that handover.

Objects adjacent within the jurisdiction, limits already established, research candidates, and registrations of what is unjudged do not thereby become forward assignments. Of the six slots registered in Section Six, only the four handovers in the fifth slot are forward assignments. Of the remaining five slots, not one is.

Two · Three routes of settlement

A forward assignment is an account that must be settled in public. There are three routes.

The first is discharge: that paper is really written and does that work. The second is public reassignment: a later text states that the work has changed destination, and why. The third is public withdrawal: it states that the question has been dissolved by later work, or was wrongly posed to begin with, and gives reasons.

Settling in parts, discharging some and reassigning or withdrawing the rest, is a combination of the three and does not establish a fourth kind.

Whether an account has been settled is judged not by what kind of file it is written in, but by whether it enters the regular chain of publication, and whether a reader can find it in the formal text or in a public correction. A public version note counts; an internal working record does not: a reader cannot find it, and that account is still outstanding on the page.

Three · This paper is itself one such account

The prequel wrote: how value goes to action is left to the prospect paper. P1 wrote the same thing in wider words: this series runs to the prospect paper, and the Theory of Action is another branch; the prospect paper is to run from the constraint of ends to the appearing of action, and it lays the ground for a future Theory of Action. P2 wrote: how a value content already avowed goes to action is the entrance to the prospect paper. P3 wrote: how a value content already taken up goes to action is the entrance to the prospect paper. Four papers point at one piece of work, and the recipient is written as this paper.

P4 wrote the sentence at the same position, and the recipient had changed. P4's words are: how a value content already taken up goes to action is the entrance to the Theory of Action. It differs from P3's sentence in three characters at the end. And the words prospect paper never appear again anywhere in P4, nor is there a sentence explaining how this one stands to the sentence in the earlier papers.

What appears there is a forking of addresses, not a reassignment already carried out. By the rule laid down above, a public reassignment must state that the work has changed destination and why; P4 did not state it, it simply wrote on at the new address. P5 then extended the branch of action in full, from judgement alone to judgement, habit, hesitation and capacity entire, and handed the carrying-on of a life to the Theory of Meaning; P6 states the handover to the Theory of Meaning expressly in its closing and does not further explain its relation to the old prospect address. The new architecture took shape from there, while the old address and the new stood side by side, unsettled.

This paper is where that account is settled, and the route of settlement is the second. The work has been reassigned: one stretch went to the Theory of Action from P4 on and was extended in full by P5, and one stretch went to the Theory of Meaning by P5 and P6. P4 first shows the new address, P5 and P6 make the new structure of distribution clear, and this Paper 0 is where the reassignment is publicly completed.

Settling is not inheriting that name. A forward assignment points at a piece of work, not at a permanent bibliographic type for some future product. That work has been wholly reassigned along the two routes, the forming and carrying out of action to the Theory of Action, the carrying-on by one and the same life to the Theory of Meaning; and this paper takes on a further piece of meta-level work that the old forward assignment never specified: to stand outside the seven papers and describe this machine, to interface with the existing traditions, and to register boundaries and destinations. The prospect paper is therefore this paper's historical alias, not its place in the series.

Four · And so this paper opens not one new debt

The second item of the second slot in Section Six expressly does not write a destination, and that is to keep to this rule. If an object never set up as a question were handed off to some series in passing, this paper would have opened its own first account on the very page where it lays down the rule.

For a paper that lays down a discipline of accounting, what matters most is not how well it states the discipline, but whether it keeps to it itself.

So this paper makes no promise. The registrations in the first, second, third, fourth and sixth slots are not promises this paper makes about future writing: if they are written later, the later text need not turn back and cite this paper as its ground; if they are never written, this series is not thereby in debt.

The fifth slot does not fall under the sentence above. Those four are forward assignments already written into the published texts; their addresses are fixed, and their state of completion must still be settled separately by discharge, public reassignment or public withdrawal.


Section Eight · Closing

The object level of the Value Theory ends here.

The prequel cleared the space of reference and said what value is not. The six papers that followed set up a machine for reading value, and it is not one principle unfolded six times: it keeps three ledgers, of constitution, of operation, and of action and relation, each with its own subjects. Among the most important reasons the six cannot be compressed into one are the two lines that run between the ledgers: readings do not of themselves flow back into a source or a standing, and external conditions do not of themselves stand in for a first-person constitution.

Placed within the map of existing value theory, this machine parts company with eight traditions each along its own line, and is not speaking on the same ground as seven others. The innermost line of parting is this: whether the standing of a particular end-value content under some bearer's name is constituted by his first-person avowal, or is to be explained by a fittingness, a relation of reasons, or an objective rank order independent of actual avowal. That line governs the standing of particular contents only and does not extend to every value fact.

The interface with Kant meets on one negative mark: admitting of no replacement by an equivalent. The meeting is real, and sharing one mark is not conceptual identity; it is a negative mark, not a full constitutive account of dignity.

And the places where this machine stopped cannot all be called remainders. This paper registers in six slots: one remainder left by this construct, two objects adjacent within the jurisdiction and never set up as its own questions, one limit already established, one candidate this paper proposes, four handovers whose address is fixed, and one object-level question that came to light only on looking back, namely what relation remains between standings of value.

Closing a machine is not calling everything beside it an opening, nor saying one more thing on its behalf that it never said. The whole work of this paper is to say what kind of machine it is, to say where it parts company with the machines of others, and then to register what it did not say, each under the identity that is its own.


Acknowledgements

This is Paper 0 of the Value Theory branch of the SAE (Self-as-an-End) philosophical system.

Authorship and responsibility. This paper is signed by Han Qin alone; all argument, all decisions between alternatives and the final text were adjudicated by the author, who bears sole responsibility for it.

The facts of drafting and review. Drafting assistance and cross-review were carried out with the help of large language models. Drafting and the internal precision audit were undertaken by Claude (Anthropic), ontological-limit and contradiction detection by Gemini (Google DeepMind), boundary testing by Grok (xAI), and structural gatekeeping with pre-publication signature by ChatGPT (OpenAI). The external literature materials for Sections Four and Five were compiled by ChatGPT's deep research. Thanks are due to these systems and to the research and engineering teams behind them. Their comments were adjudicated by the author item by item, and both what was adopted and what was rejected are on record.

The degree of verification of external citations. This paper's external citations were verified item by item at four grades: confirmed against the original text; original text in hand with the precise location unconfirmed; confirmed on reliable secondary sources; and unconfirmed. The final net figures for each grade and the state of each item are given in a separate graded verification table for external claims. This paper does not claim that all external citations have been confirmed against original texts, nor that it has covered every external load-bearing point in the text.

The corrections made to this paper fall into three classes, recorded here separately and not merged into one.

First, five substantive rewrites occasioned by structural review: the writing that made the four nodes logically equivalent and then compressed them into a machine that reads positions only was withdrawn, and three ledgers with two bars on back-flow were set up in its place; the writing that merged dignity, the standing of an end, particular contents and colonization was withdrawn, the four objects were separated, and the structure of colonization was corrected against P3, namely that positions are permanent while an external warrant counterfeits a constitution already completed; the scope of the discovered-or-constituted fault line was pulled back to the standing of particular contents; the writing that inferred mind-dependence directly from dependence on the bearer, and denied a mind-independent ground of truth, was withdrawn, and three separate registers, constitutive dependence, truth-grounding and epistemic authority, were set up, with this series recorded as unclosed on the second; and the inference that what is a person's own value is thereby good for him was withdrawn, since it switched axes between standing of value and welfare, and Sen, adaptive preferences and Section Six were rewritten accordingly.

Second, two substantive corrections of external material: Scheler's basic value modalities are four and not five, and the useful is a derivative value founded on the agreeable, while an earlier draft listed it as a coordinate level; and what the Mohists judge in Fei Yue and Jie Zang is the making of music and lavish burial as public practices and affairs of government, whereas Fei Yue expressly grants first that music is pleasing to the ear, that ornament is beautiful to the eye and that fine food is sweet to the mouth, so that the earlier drafts' inference from public criticism to the impropriety of what is cherished crossed a step the text never took.

Third, one correction arising from a return to the upstream texts of this system: the treatment of colonization was corrected twice, the first draft saying too much and the revision over-correcting, with this version taking the slot between the two, namely that the function of the constitutive position is occupied without the position being taken away. This one was not obtained from external verification but from re-reading P3's own text.

There were also three narrowings of external formulations: the lineage of the fitting-attitude family is not written as a single line of succession; Harsanyi's theorem has its domain and central assumptions written in; and Sen's three-way distinction is given as three that may not be run together rather than as three that are independent.

Page references for external literature are handled by each item's grade of confirmation: those confirmed against the original text carry page numbers; those with the original text in hand but the precise location unconfirmed give only the confirmed chapter or textual range, and do not counterfeit a precise page; those confirmed on reliable secondary sources give the source without page numbers; those unconfirmed give no location, and the corresponding places in the text are narrowed. An earlier draft deleted page references in bulk, which was an over-reaction: it removed the reliable along with the unreliable, and concealed the difference between them.

Every sentence this paper quotes from the upstream texts of this system was compared item by item against its published wording; and this paper's statements about external writers were separately verified item by item at grades. Both comparisons are kept in separate tables, as instruments of drafting and review, and are not published with this paper. The choices made in placing the traditions, and the way the lines of divergence are drawn, are not within those tables.

On the limits of this paper's verification, one thing is written here and not left for some other document to declare on its behalf: this paper's external placements rest on graded verification, of which only the grade confirmed against the original text can be warranted to agree with the source; this paper does not claim to have covered every external load-bearing point, nor that the lines of divergence have been reviewed externally. Chinese classical texts are cited from current editions; no particular critical edition was adopted as a base text.


References

Within this system

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Wood, A. W. (1999). Kant's Ethical Thought. Cambridge University Press. Cited here: the discussion of the formula of humanity.

Mo Di et al. Mozi. Cited here: Fa Yi 4, Jian Ai (middle) 15, Tian Zhi (upper) 26, Fei Yue (upper) 32, Jie Zang (lower) 25. Quoted from current editions and rendered by the author; no particular critical edition was adopted as a base text, and no edition or page is given.

Analects. Cited here: Wei Ling Gong 15.24 (15.23 in the older numbering). Quoted from current editions; shu is not given any single fixed English rendering.