On Rights and Entitlements – Han Qin (秦汉)

Introduction

By the close of Paper 0 the register of rights had come to hold three positions. Basic rights and recognition-based rights are the two built up across the trunk, P1 through P6; entitlement (权益) is the third, which Paper 0 raised from nothing, which answers to the giving one subject directs toward another, and which is neither a duty nor a form of power. But Paper 0, having raised entitlement, left it standing only as a static third position, and it left two debts openly unpaid. The first is the full dynamics of entitlement: whether it can be violated, whether it can be withdrawn, and how it stands to registration at T5. The second is the generation-gate of the subject-to-be: how a subject not yet grown comes to be in time, and what its gate and its holdings look like. This study pays both.

These two debts look as though they belong to different heads, but they are one chain, and what sews them together is the negation-gate (否定门). The negation-gate is the common gate-axis running through all three positions and their transitions: basic rights and recognition-based rights both presuppose it, and entitlement is marked precisely by the absence of a power loop that such a gate could close. Whether an entitlement can be elevated turns on whether that power loop can close; and whether the receiving end of the loop can be joined at all turns, in its turn, on whether the receiving end's negation-gate can be exercised on its own. The generation of the subject-to-be is, once more, the story of this same gate—how it passes from nothing, to exercise-by-network, to exercise-by-the-self. So the phase transition of entitlement and the generation of the subject-to-be are two faces of one gate under two dynamics; to write them as two papers would be to dismantle the same gate and rebuild it twice. Written as one, the gate is raised only once.

This common gate-axis is not the sole classifier of the three positions. Basic and recognition-based rights both presuppose the negation-gate, and the two are still told apart by the axis of constitutive source; a subject that has a gate may still stand merely as the pointing-end of some entitlement, so long as that relation has not closed into a power loop. The negation-gate is thus the common joint through the three positions and their transitions, while the full discrimination of the three must also bring in the granting-end anchoring of entitlement, whether the power loop has closed, and the source-constitution axis that separates basic from recognition-based. It is a joint, not a classifier.

Along the three states of this gate runs a single thread through the whole study. At the end where the gate is never generated stands the animal, which shows only the face of entitlement. At the end where the gate is exercised by the network stands the infant, in which three things coexist. At the end where the gate is exercised by the self stands the adolescent, whose questioning-initiative has returned to itself. A child still maturing walks between the infant and the adolescent, the gate growing continuously in it, so that the line between entitlement and recognition-based right is, for it, of necessity a shifting and blurred one. Animal, infant, adolescent light up the two ends and the middle stretch of this gate-line at once; they are not three examples but three gate-states, by which the whole seam between rights and entitlement is lit.

This is not a meta-study. It does not step outside the trunk to engage traditions beyond it; it is a companion study standing outside the trunk to pay a debt, keeping the discipline of the main series—naming no theorists, adducing no historical events, citing no particular cases. The trust chain is one the meta-study Paper 0 already raised; this study only points back to it, and does not reopen it as a worked example. An appendix at the close sets SAE's results beside the existing theories of rights in a retrospective comparison; there, for the comparison's sake, the naming of theorists and the citing of works are permitted, while SAE's positions and its several cautions are not relaxed a step.

The study's nine propositions fall into three parts. A part on structure fixes the ontological make-up and the discrimination of the three positions: F27, that entitlement is anchored in the giving of the granting end, the receiving end being only the end it is directed at and holding nothing; F28, that single-directionality, the absence of a power loop, and entitlement are three names for one thing, so that what keeps a relation at entitlement is that it has not closed into a power loop; F29, that there are three classes of mechanism by which an entitlement is permanently arrested, none of them closing the loop—the receiving end cannot take up a power relation, the granting end can no longer form power, or the giving relation itself does not form power; F30, that entitlement has no violation, withdrawal, or T5 of its own and adds no new register, all three faces reducing to the granting-end side or to the register of power; F31, that an entitlement is elevated to a recognition-based right just in case the power loop closes, while crossing into T5 yields only a recognition-candidate position, a workable right still requiring the three-branch meshing; and F32, an interpretive proposition, that in the entitlements between gated subjects—cultivation-type entitlement above all—the receiving end shows the self-face and the granting end the other-face, an apparent symmetry that is no symmetry, and that here P6's cultivation is sewn in as a relation of entitlement. A part on generative dynamics holds one proposition: F33, that the rights of the subject-to-be are grounded in its already being an end, not in its coming-to-be, and that the generation-gate describes only the diachronic migration of the negation-gate's mode of operation, from exercise-by-network to exercise-by-self, and not the generation of subjecthood itself. A part on the through-line of the three gate-states falls on two high-pressure scenes: F34, that in the infant three things coexist, each with its own host, and that being reared divides, by whether the vector of action is converged, into entitlement and delegated-holding recognition-based right as two analytic faces, not an empirical bisection; F34a, that to impose on a maturing subject-to-be an externally fixed binary threshold systematically produces a risk of misclassification, so that the necessary blur of the line is a faithful mapping of its gate-state; and F35, that once the gate self-exercises the questioning-initiative returns at once to the self, while whether a particular recognition-based arrangement comes to stand must still pass a two-way check—structure gives the direction, the quantitative domain awaits social judgment.

§I. Entitlement Is Anchored in the Granting End

> F27. Entitlement is anchored in the giving of the granting end, not in the receiving end. The receiving end is only the end at which that giving is directed; it is not the holder of the entitlement. Basic rights and recognition-based rights are things a subject holds, and it takes standing to hold them, whereas entitlement is anchored on the granting-end side, the receiving end holding no position at all: this is the signature of the third register. The granting end must be a subject, and this "must" falls at the moment of giving—the giving is performed by a subject at the time it is given, and once performed it persists as an established structural relation, not requiring the granting end's continued presence. The receiving end need not be a subject, need not be living, need not be an individual; it need only be an end at which some subject's giving is directed.

The register of rights already holds two positions. A basic right stands on standing; it is pre-relational, comes to be with a single subject, and is anchored in the inexhaustibility of the remainder. A recognition-based right stands on the recognition of power; it is relational, answering to the liability the affected party holds. Beyond these two, a third position has been raised from nothing—entitlement, which answers to the giving of another and is neither duty nor power. The third position being raised, the first thing to fix beyond doubt is where it is anchored.

Entitlement is anchored in the giving of the granting end, not in the receiving end. This has to hold against a deep habit: reading entitlement as a thing in the receiving end's hand, a weakened right, a passive piece of property. The habit comes from the possessive frame of right and property—say "entitlement," and one goes looking for the subject that holds it. Entitlement does not come to be that way. The receiving end has not gained one more thing to grip; it has become the end at which some subject's giving is directed. The giving flows single-directionally out of the granting end and lands on the receiving end, and in this relation the receiving end holds no position; it is the end the giving is turned toward, and that is all. When Paper 0 said the receiving end holds the entitlement-end, that an animal has an entitlement, it spoke by convenient shorthand; put exactly, the receiving end holds no position, and the entitlement—this position—is anchored in the giving of the granting end. Just as the earlier "conferred recognition" was tightened, within the register of recognition, to "constitutive recognition," so here the shorthand is tightened to granting-end anchoring.

It is because the receiving end holds nothing that one and the same entitlement can cover a stretch of sea and a child at once. A stretch of sea is no subject; it has no standing and cannot be said to hold any position. A child, as a subject-to-be, holds basic rights of its own, but as an entitlement's receiving end it does not thereby hold one more thing. Were entitlement read as a thing the receiving end holds, these two cases would split at once into two different holdings—one a non-subject holding a position, the other a subject holding a position—and the third register would shatter into two sayings. Anchoring in the giving of the granting end, letting the receiving end be only the directed-at end and hold nothing, is what gathers the two cases into one register: both hold nothing, both are only where some subject's giving is turned. This is not a nicety of phrasing but the structural condition of the third register's being one register at all.

The signature of the third register falls just at this anchor. Basic and recognition-based rights are things a subject holds; it takes standing to hold them, and they are anchored on the holder's side. Not so entitlement: it is anchored on the other side, in the giving of the granting end, and the receiving end does not hold it. Three positions in a row—the first two anchored in the holding subject, the third in the giving granting end—and this shift of the anchor is just what makes entitlement a third register and not a fourth, weaker kind of right. To take entitlement for a thin right held by someone is to have lost this shift.

Giving, here, does not name the granting end's ongoing performance but an already-established structural relation. The giving is performed by a subject at the time it is given, and once performed it persists as a thing-already-given, no longer requiring the granting end's presence thereafter. The knowledge and works a dead person leaves, a gift already completed with no conditions—these are such givings; they are topological traces the past performance has left in the field, the granting end may be long gone, and yet the giving persists as a structural relation, still directed at its far end. As for a giving already loaded through promise, institution, trust, or guardianship: it is then no longer a giving in this bare register, and its violation, withdrawal, and transition are placed by where it lands, treated in §III and §IV, and it does not count among the pure examples here.

The granting end must be a subject, for giving is a performance, and a non-subject does not perform. But that "must" falls at the time of giving, not at any continued presence thereafter; a giving once made does not lose its being-a-giving because the granting end departs. The receiving end is under no such constraint: it need not be a subject, need not be living, need not be an individual; it need only be the end at which some subject's giving is directed—a sea, an ecological whole, an animal, a subject-to-be, any of these may stand at this end and hold no position. The anchoring of entitlement is thus fixed, and the propositions that follow—single-directionality, the absence of an independent violation or withdrawal, and elevation—all issue from this one anchor.

§II. Single-Directionality Is the Absence of a Power Loop

> F28. Single-directional, without a power loop, and entitlement are three names for one thing. The power loop here is not a temporal feedback of power running back and forth between two ends, nor is it closed by exit; it consists in three relational conditions holding at once: the granting end actually converges the receiving end's action-space; the relation is registered in the receiving end's action-space; and the receiving end still retains the subject-position from which it can respond, refuse, or withdraw the registration. This registration is not consent, not legitimation, not a verdict of rightfulness. Within the established, identifiable giving-relation fixed by F27, entitlement is such a giving-relation that has not entered this power-structure: the giving flows single-directionally from granting end to receiving end and does not close this loop—entitlement is just this opening. Should the receiving end have a negation-gate, its not-refusing shows only that the loop has not been actively cut, and does not by itself constitute the entitlement's coming-to-be; exit or withdrawal of registration is not a condition of closing the loop but the mechanism by which the relation is reopened. What keeps a relation at entitlement is that it has never closed into the power loop of T5.

A recognition-based right sits on a closed power loop, and that loop is not a temporal feedback of power running back and forth between two ends. It is the simultaneous holding of three relational conditions: the granting end actually converges the affected party's action-space; the relation is registered in the affected party's action-space; and the affected party still retains the subject-position from which it can respond, refuse, or withdraw the registration. What matters is that registration reads whether the vector of action has been objectively converged by the field of power, not whether the affected party subjectively consents; the relation may be registered forward or under duress, and registration is not assent, not legitimation, not rightfulness. And the affected party's exit is precisely not a step in closing this loop—exit is the withdrawal of continued binding, it cuts the loop open and reopens the relation. So what closes the loop is convergence plus registration plus the retention of the subject-position, while exit stands on the side of opening.

Entitlement has no such loop. The giving flows single-directionally out of the granting end and lands on the receiving end, and there it stops; it does not return to the granting end, nor does it gather at the receiving end into a power that could converge the other side. Single-directional, without a power loop, and entitlement therefore say one thing: single-directionality is the form of the relation, the absence of a power loop its mechanism, entitlement its name. This identity must be stated within the giving-relation F27 has already raised: an established, identifiable giving is single-directional, so without a power loop, so an entitlement—and not that any incidental, powerless, single-directional act is thereby called an entitlement.

Should the receiving end be a subject, it has a negation-gate; then does its not-refusing at this moment mean the entitlement has come to be? It does not. Not-refusing shows only that the possibly-closing loop has not been actively cut; it does not equal the loop's having closed, still less the entitlement's coming to be on that account. Whether an entitlement comes to be is decided not by whether the receiving end does or does not refuse at this moment but by whether the relation has closed into the power loop of T5. The loop unclosed, the relation stays at entitlement; on what conditions it closes and is elevated is the matter of F31.

Single-directionality is a property of each relation on its own, so a giving from many parties is a superposition of many single-directional entitlements, not one two-way entitlement. When two subjects give to each other and neither giving closes into a power loop, that is two single-directional entitlements running in parallel, not one relation going back and forth at two ends. To read a many-party giving as one two-way entitlement is to mistake single-directionality, a per-relation property, for a total that could be summed.

> F29. To be permanently arrested at entitlement—never elevated—has three classes of mechanism, all of them a power loop that structurally cannot close, differing only in where the closure fails. First, the receiving end cannot take up a power relation: an animal, an ecological whole, has no workable negation-gate, cannot be registered while retaining a subject-position, and the failure lodges at the receiving end. Second, the granting end can no longer form power: a dead person, whose giving persists as a topological trace of past performance while it no longer operates as a 13DD+ subject, and the failure lodges at the granting end. Third, the giving-relation itself structurally forms no power: cultivation is the clearest paradigm of this class—the granting end could, from its position, form convergence, yet in cultivation it keeps the recipient's positions of refusal, interruption, and self-reconstitution, and so does not close into a loop—but cultivation is not the class's only member; a living subject giving unconditionally to a gated subject, the two never closing into power, also falls here. To say three classes is not to claim every unclosed form has been exhausted, but to count, from where the closure fails, three high-resolution mechanisms. All three are structural, none elective, none of motive—motive is the agent's thing-in-itself and does not enter the criterion.

An entitlement stays permanently at entitlement not because someone is unwilling to let it be elevated but because the power loop structurally will not close. For the loop to close, both ends must be in place: the receiving end must be able to take up a power relation—must have a workable negation-gate by which the relation can be registered while its subject-position is kept—and the granting end must actually form convergence. The three classes of mechanism count, from these two ends, the places where the closure fails.

The failure lodged at the receiving end is a receiving end with no negation-gate. An animal has none; a stretch of sea, an ecological whole, has none. Without a gate there is no taking up of a power relation, and the receiving end of the loop can never be joined. A subject's rearing of an animal, its guarding of a stretch of sea, is the subject's giving; the animal and the sea stand at the end that giving is directed at, and this relation stays permanently at entitlement, because the receiving end is structurally short a gate.

The failure lodged at the granting end has two forms. One is a granting end already departed. The knowledge and works a dead person leaves, a gift long since completed—these are still givings, persisting as topological traces the past performance has left in the field, directed at their far ends; but the subject who made the giving has fallen below 13DD and no longer operates as a subject, and can form no power that could converge anyone, so the granting end of the loop is structurally empty. Those who take up a forebear's knowledge take up a persisting giving—an entitlement—not a power relation with a subject no longer present. This form drives single-directionality further to its limit than the animal's: there the granting end is still in place, only the receiving end lacks a gate; here even the granting end has departed, and the purity of the single direction bottoms out.

The other form lodged at the granting end has the granting end not departed but structurally forming no power—cultivation is this. A cultivator could, from its position, form convergence over the cultivated and close the relation into power, but cultivation, being cultivation, keeps the recipient's positions of refusal, interruption, and self-reconstitution; the moment it redraws those positions and seals exit shut, it is no longer cultivation but colonization. It is because cultivation structurally keeps those positions that it does not close into a power loop, and so falls at entitlement. That cultivation forms no power rests not on the cultivator's goodwill or choice but on its structure, that structure of kept refusal. Motive is the agent's thing-in-itself and cannot enter the criterion; whether a relation is an entitlement is read only from whether the loop has closed, not from what anyone harbors. All three classes are therefore structural, none resting on election or motive; cultivation is the clearest paradigm of the third class but not its only member—any single-directional giving whose granting end could close yet structurally does not falls in this class, and a living subject's unconditional gift to a gated subject is one more, neither a receiving end without a gate nor a granting end departed, only a giving-relation that has never closed into power.

§III. The Violation, Withdrawal, and T5 of Entitlement

> F30 (theorem). Entitlement of itself has no independent violation, no independent withdrawal, and does not independently enter T5; it adds no new register, and so-called violation, withdrawal, and entry into T5 all reduce to the granting-end side or to the register of power. Violation does not occur at the entitlement-end; it reduces to three cases—a basic right, recognition-based right, action-space, or condition of giving on the granting-end side is compressed (placed, by where it lands, to P5, P3, or P4); the receiving end, as the object the giving is directed at, perishes or can no longer be pointed to, which is the vanishing of the pointing-end and a harm to the granting end's condition of continued giving, not a violation of entitlement itself—yet if the receiving end is itself a subject or subject-to-be, the basic-right and recognition-based-right events its perishing or being-acted-on set off must still be registered independently, and do not vanish because entitlement has no violation of its own; the granting end freely ceases giving, in the bare register permitted and no violation, but only so far as the granting end has not first exclusively monopolized, manufactured dependence, and sealed off alternative routes—if these have already occurred, the cessation is only the completing of a prior cutting-off, and its reading reduces to P5's dependence-in-care and violation. Withdrawal forms no register of its own: the giving's ceasing is the entitlement's loss of anchor and its lapse, asymmetric with a recognition-based right's withdrawal, which goes through power and is bound by P3's conditions; and a giving already loaded through promise, institution, trust, or guardianship is no longer bare entitlement, its withdrawal placed by P3, P4, P5. Entitlement does not enter T5: T5 registers power, entitlement answers to giving, which has no power; the instant an entitlement crosses into T5 it has left the bare register of entitlement and formed a recognition-candidate position, and its becoming a workable recognition-based right still requires the second phase of F31. Entitlement is thus the position before and outside T5. This proposition pays the debt Paper 0 openly left at §I and §VI.

Paper 0 raised entitlement as the third register but openly left its dynamics in debt: whether it can be violated, whether it can be withdrawn, whether it enters T5. These three questions look as though they call for three mechanisms of entitlement's own, but the answer is one theorem: entitlement adds not one of them. Its whole dynamics are the dynamics of the granting end's giving; the three questions reduce, one and all, to the granting-end side or to the register of power, and the register of entitlement adds nothing new to the register of rights.

The violation of an entitlement, put strictly, does not occur at the entitlement-end. A violation-reading reads a subject's encapsulating boundary being crossed, and entitlement's receiving end need not be a subject; it may have no encapsulating boundary—a stretch of sea, an ecological whole, has none to cross. Its violation therefore reduces to three cases. The granting-end side being compressed is one: the granting end is a subject, with an encapsulation, standing, action-space; a third party crosses its encapsulating boundary, hollows out its recognition-based right, compresses its action-space, or cuts the condition its giving rests on—that is a violation on the granting-end side, placed by where it lands, to P5, P3, or P4, and not a violation of entitlement. The receiving end, as the object the giving is directed at, perishing or no longer pointable-to is another: the giving loses its far end and the entitlement lapses, but that is the vanishing of the pointing-end, not a violation read at entitlement; it is at most a harm to the granting end's condition of continued giving. Here a word must be added: if the receiving end is itself a subject or subject-to-be, then its perishing, injury, or suppression may still be a basic-right or recognition-based-right event of its own, to be registered separately, not wiped out because entitlement has no violation of its own. The granting end's ceasing to give is a third: in the bare register a giving may or may not be given, and ceasing is permitted, no violation. But this permission has a boundary: if the granting end first exclusively monopolized its giving to the receiving end, manufactured dependence, and sealed off alternative routes, and only then ceased, the cessation is not a free one but the completing of that prior cutting-off, and its reading now reduces to P5's dependence-in-care and violation, no longer excused as bare entitlement's free cessation. In none of the three cases is there an independent violation-reading read at the entitlement-end, and entitlement therefore adds no position to violation-reading.

Withdrawal, likewise, forms no register of entitlement's own. A recognition-based right may be withdrawn, and that withdrawal is an act going through power, bound by P3's conditions. Entitlement has no such register. The granting end ceases giving, the entitlement loses anchor and lapses—that is only the ceasing of a giving, its free face, and is not symmetric with a recognition-based right's power-bound withdrawal. One boundary must be drawn: a giving already loaded through promise, institution, trust, guardianship, or recognition-based loading is no longer a giving in this bare register; it has entered another register, and its withdrawal is then placed by the register it has entered, to P3, P4, or P5, no longer read by bare entitlement's free cessation.

Entitlement does not enter T5. T5 registers power—a relation enters T5 because there is power in it whose standing must be kept—and entitlement answers to giving, in which there is no power, so it does not enter T5. Put the other way it matters more: the instant an entitlement crosses into T5, this means power has already been registered in it; it has left the bare register of entitlement and entered the first phase of elevation, forming a recognition-candidate position; whether it becomes a workable recognition-based right still passes through the second phase of F31. Crossing into T5 is the crossing of the transition, not the completion of a workable right. Entitlement is thus always the position before, or outside, T5; it has no seat of its own within T5. The three faces together, the violation, withdrawal, and T5 of entitlement reduce clean, the register of entitlement adds no set of its own to the register of rights, and it is one register purely of single-directional giving—the debt Paper 0 left is here repaid.

§IV. Elevation and the Two Faces

> F31. An entitlement's elevation to a recognition-based right has two phases. The first phase crosses from single-directional giving into the T5 loop, becoming a recognition-candidate position; its conditions are that the receiving end has a negation-gate it can refuse with, or a refusal-function exercised for it by the network; that the granting end actually forms convergence; and that the relation is registered in the receiving end's action-space while the subject-position is kept. This first phase does not take the receiving end's subjective assent to power as a condition—registration reads whether the vector of action has been objectively converged, not consent, not legitimation, not rightfulness. The second phase, from recognition-candidate position to workable recognition-based right, still requires constitutive recognition and the three-branch meshing—content-identity, institutional loading, valid community recognition, and real power-support holding at once. So T5 is the gate of transition, not the gate of completion for a workable right. Reverse transition holds only for that family of recognition-based rights bottomed on some single-directional giving that still persists: the loop reopens and it drops back to entitlement, whereas other recognition-based rights, on lapsing, are handled by P3's express withdrawal, hollowing, de-powering, re-loading, or partial lapse, and do not automatically bring forth an entitlement.

An entitlement's elevation to a recognition-based right is not done in one step; it has two phases, and T5 governs only the first.

The first phase is the loop closing from opening into ring. It wants three things in place. The receiving end must have a negation-gate it can refuse with, or a refusal-function exercised for it by the network; without this gate the receiving end of the relation cannot be joined, and cannot be registered while its subject-position is kept. The granting end must actually form convergence—not that it might converge, but that the power has really gone across into the receiving end's action-space. And the relation must be registered in the receiving end's action-space while the receiving end still keeps the subject-position from which it can respond, refuse, or withdraw the registration. These three in place at once, the single-directional giving closes into a power loop, and the relation crosses into T5 as a recognition-candidate position. The registration meant here reads whether the vector of action has been objectively converged, not whether the receiving end subjectively assents; forward registration and registration under duress both count as registration, and registration is not assent, not legitimation, not rightfulness—nor is it the community's valid recognition, which belongs to the second phase.

Crossing into T5 is still not the end. A recognition-candidate position is only the lowest slot a recognition-based right may attach to; for it to become a workable recognition-based right it must still pass constitutive recognition, given by the three-branch meshing—content-identity conferred, institution loaded, the community's valid recognition and real power-support in place at once. These three not in place, the position hangs still in candidate state, no runnable right. So T5 is the gate of transition—it marks the crossing where entitlement becomes recognition-categorial—and not the gate at which a recognition-based right completes its operation; completion is at the three-branch meshing.

After the crossing into T5, that candidate recognition-position falls, in principle, to the receiving end—it is the side that took up the power relation and was thereby placed in the relation—while what the granting end takes in this relation is the position of performance and support, not the same candidate right. To read elevation as no more than the granting end's forming power and the receiving end's taking it up, without saying which side takes what position, would leave only a power relation, and lose sight of the candidate right that lands at the receiving end.

Where the receiving end is a subject-to-be, this phase must be read with special care. An infant's negation-gate is still exercised by the network, and the relation converging on it is, through the network's exercise, registered in its action-space, the network keeping for it the positions of response, refusal, and withdrawal. What crosses into T5 here is therefore a recognition-candidate position run by the network, whose host of standing points to the subject-to-be itself while its functions of operation and refusal are borne, for now, by the network; the gate having not self-exercised, no first-person taking-up is complete. This distinction is what welds F31 to the infant section (see F34).

The chain of the trust Paper 0 has already used to display these two phases. A beneficiary not yet born holds no entitlement; it stands at an entitlement's pointing-end, and that entitlement is anchored in the giving the settlor has already made. Once born, by this study's own three gate-states its negation-gate is still in the phase of exercise-by-network and does not self-exercise merely because of birth. So the power the trust's conditions converge on it is, through the network's exercise, registered in its action-space, with the position of its future self-exercised refusal and exit kept for it, and thereby a recognition-candidate position run by the network and pointing, in standing, to this subject-to-be—whether that candidate position becomes a workable recognition-based right still passes the three-branch meshing. This live example is not reopened here; it is only pointed back to, read from an example into one concrete walk-through of the two phases of elevation.

Reverse transition holds only for that family of recognition-based rights bottomed, from the start, on some single-directional giving that still persists. Such a right, should the granting end depart, or withdraw the power, while the giving still persists, has its power loop reopened, and drops back to a single-directional giving, back to entitlement. Other recognition-based rights, not bottomed on a persisting giving, lapse as a P3 express withdrawal, hollowing, de-powering, re-loading, or partial lapse, and bring forth no entitlement automatically. Elevation and reverse transition are symmetric in that family, both only the closing and opening of one loop; but reverse transition is not the common name for every recognition-based right's lapse.

> F32 (interpretive proposition). This proposition does not carry the criterion of elevation—that is with F31—nor does it give the minimal ontological condition of all entitlement. It interprets the mature showing, on the 15DD law, of the entitlements between gated subjects, cultivation-type above all, and thereby says why this type of entitlement is neither duty nor power. In this type, each side shows a face of negation. The receiving end shows the self-face—the negation-gate of the prefatory study, guarding the self against being reduced, keeping the capacity to refuse while the relation has not yet been cut. The granting end shows the other-face—the anti-colonization of the moral law, not reducing the other, which even where the conditions to form power are present structurally does not close into power for having kept the recipient's refusal. But the entitlement of a receiving end without a gate—animal, sea—has no self-face to this half; and the entitlement of a departed granting end—the dead—has a granting end that never had, or no longer has, a position that could hold power, which is not a refusal to hold but a not-being-at-that-position at all; these two kinds of entitlement satisfy only the minimal definition of the absence of a power loop and lack the full structure of the two faces. As for the gated-subject type: the two faces look symmetric and are not—one guards the self against reduction, one does not reduce the other; on Paper 0's own law, which already contains the other, the self-face is the negation-gate and the other-face is recognition and anti-colonization.

Entitlement is neither duty nor power; what, then, is it? For the type between gated subjects it can be read as a mature showing, on the 15DD law—that law which already contains the other—turned out in a relation as a single-directional giving, and this showing is braced by a face of negation from each side. This is not to say all entitlement must be this law's other-face: the entitlement of a receiving end without a gate, or of a departed granting end, lands only on the minimal definition of the absence of a power loop, not necessarily two-faced; the two faces spoken of below are the mature form of the gated-subject type.

The receiving end shows the self-face. That negation-gate guards the self against being reduced; it keeps the capacity to refuse while the relation has not yet been cut by it. This face is anchored in the negation-gate the prefatory study raised, the core by which a subject guards itself against reduction.

The granting end shows the other-face. It does not reduce the other; this face is anchored in the anti-colonization of the moral law, the law that does not gather the other into one's own power. This face is clearest in cultivation-type entitlement: a cultivator stands at a position from which power could be formed, yet for its cultivation's keeping of the recipient's refusal, interruption, and self-reconstitution, structurally does not close the relation into power. Put exactly, this is not an act shared by all entitlement, still less a psychological refusal. The dead's knowledge, a general animal-concern—there the granting end simply has not, or no longer has, a position that could hold power, and there is no question of refusing to hold. So the clearest instance of the other-face is cultivation, the type where the granting end stands at a power-position and structurally does not close, while what entitlement shares as entitlement is only the one condition of the absence of a power loop, not some posture shared on the granting-end side.

The two faces are not symmetric. The self-face is a subject guarding itself against reduction, the other-face a subject not reducing another—one turned inward, one outward. They are two faces of one law, that law being the one Paper 0 raised, that one's own law already contains the other; its inward face is the negation-gate, its outward face recognition and anti-colonization, and entitlement, this single-directional relation, is just the granting end showing the other-face while the receiving end's self-face stands by, not having refused with its gate.

P6 raised cultivation but had no word "entitlement," and so pressed two things that should be kept apart into one saying. Read with the present "entitlement," those two come apart, and once apart, P6's structure moves not at all.

A surface tension must first be dissolved. P6 casts cultivation as the release-side of questioning on the ridge, while here cultivation is said to form no power, to be a powerless entitlement; the two sound as if at odds, and are not. The ridge is the field in which the thing happens; questioning is a performance on that field of the ridge upon a subject; but whether a performance is or is not on the field of the ridge, and whether it has or has not closed into a registered power relation, are two matters. The registration-criterion of P6 and P3 both fall on whether the vector of action has been objectively converged by the field of power. Cultivation keeps precisely the recipient's refusal, interruption, and self-reconstitution; it does not converge that vector, and by this criterion cultivation is not registered as a power relation. So the performance of cultivation happens on the field of the ridge and is yet powerless; it lands at entitlement. Field and relation parted, the tension dissolves.

Field and relation told apart, two relations, formerly pressed together, show themselves in P6's cultivation. One is cultivator to cultivated—a single-directional giving, the cultivator giving, the cultivated the end it is directed at, this giving keeping the recipient's refusal, not converging, forming no power; it is just an entitlement. The other is cultivated to network—cultivation has lifted the cultivated up, its own law opens a new dimension, that dimension shows to the network on the ridge, asks to be recognized, and along the chain of constitutive recognition, through registration, through the three-branch meshing, comes to a workable recognition-based right. When P6 says cultivation drives right-expansion, it walks just this second relation; but that recognition-based right is the cultivated's own new right, won from the network, not a power between cultivator and cultivated.

The first relation thereby gets a name: cultivator to cultivated, that single-directional giving, is an entitlement—an important form of entitlement, though not the whole of it; the dead's-knowledge kind of entitlement has a granting end not standing at a power-position, unlike the cultivation type, only sharing the one condition of the absence of a power loop. Back to P6's chain: that cultivator-to-cultivated entitlement and the cultivated-to-network recognition-based right thereby come apart. What is added is a word P6 lacked; what is moved is not P6's structure. Every proposition of P6—the cut between cultivation and colonization, the chain by which cultivation drives right-expansion—stands unchanged. The word added, P6's cultivation and Paper 0's entitlement are two arrivals of one and the same thing; read with entitlement, cultivation is an entitlement-relation all along. And here P6's cultivation and this study's register of entitlement are sewn into one line.

§V. The Generation-Gate of the Subject-to-Be

> F33. The rights of the subject-to-be are grounded in its already being an end, its standing equal to a present subject's, not in its coming-to-be a subject. The equality of standing here is the normative standing the subject-to-be already holds within its own quantification-domain, not conditioned on whether it now fully performs 13DD operation; its actual negation-gate's bandwidth of operation is still in generation, and the equality of normative standing and the completeness of DD operation are two orthogonal axes. The generation-gate means the diachronic migration of the negation-gate's mode of operation, from exercise-by-network to exercise-by-self, not the generation of subjecthood itself from non-subject; subjecthood is already fixed on the 13DD+ standing and does not change in the gate's migration. What is gradual is the negation-gate's function—the range of its self-exercise, its stability, its capacity to partition domains—not a turning of the 13DD structural threshold itself into an unthresholded continuum. This generation-gate P6 already left a hook for: the subject-to-be's negation-gate may be exercised for it by the network, by its subject-to-be standing and its generative-state structure, on the bound of not touching colonization. The grounding axis is synchronic, the generation-gate axis diachronic, the two orthogonal; potentiality-theory is precisely the confounding of these two axes, grounding the pre-gate on the post-gate. The gate's migration from exercise-by-network to exercise-by-self does not migrate the hosts of the three registers together: the host of standing for basic rights is always in the subject-to-be itself, entitlement is always anchored in the granting end's giving, and what migrates with the gate is the operating-host of the recognition-based right, together with the subject-to-be's capacity to put an entitlement, in the first person, into a recognition-based relation. The first-person ownership of the gate is never handed to the network; the network only exercises its function for a time.

An infant, a child not yet grown—does it hold basic rights, and by what? Potentiality-theory would say: it will grow into a subject, so give it rights now. SAE does not take this road. That a subject-to-be holds basic rights is grounded not in its coming-to-be but in its already, now, being an end. It is a being truly growing that negation-gate, and whatever is an end holds standing, not discounted for the gate's not yet standing firm. This grounding is synchronic, a matter of this present moment, and has nothing to do with what that gate will grow into.

To keep this fast, one word must be watched: generation. To say a subject-to-be has a generation-gate is all too easily read back into potentiality-theory, as if its standing waited on the gate's being generated. The generation here means not the generation of subjecthood but the diachronic migration of the negation-gate's mode of operation, from exercise-by-network to exercise-by-self. Subjecthood is fixed, from the first, on the 13DD+ standing; it does not grow larger or smaller in the gate's migration. A sleeping adult, an infant still in the phase of network-exercise—both hold full standing; what changes is only by whom, in what mode, that gate operates at this moment. So the generation-gate describes how the mode of operation migrates, not how standing grows; it only describes, and is not used to ground.

The gate's operation is still gradual. What is gradual is the range of its self-exercise, its stability, its capacity to partition domains—from almost wholly exercised by the network, to the self's exercise gradually mixed in, to exercise by the self—and not a reading of the 13DD structural gate itself as an unthresholded continuum; that structural threshold is still the gate by which the subject-to-be, as an end, holds standing. It is because this operation is gradual that infant and adolescent are not two states of gate-or-no-gate but two points on one continuously maturing spectrum, the infant toward the exercise-by-network end, the adolescent at the gate-self-exercised end. The animal is simply not on this spectrum—not an early point on it, but a being that never had that gate and never grows one. Gradualness is said of the subject-to-be's gate, the one still growing; it does not pull the animal in as an early subject-to-be.

The network's exercise of the gate is only the function of that gate—the function of refusal, of protection and representation, the position of negation in the procedure, the temporary blocking and checking of external power. It can no more make an infant hold a first-person negation-gate, or generate the infant's own law, or pass off its own judgment as the infant's law, than for that. The first-person ownership of the gate is never handed over; while the gate has not self-exercised, its function of operation lodges in the network, its standing always with the subject-to-be.

The grounding is synchronic, the generation-gate diachronic, the two orthogonal. Potentiality-theory errs just in confounding them, grounding the pre-gate standing on the post-gate self-exercise, so that standing becomes a thing won only in the future. SAE parts the two axes: standing is full, now, on the synchronic axis, the gate migrating from exercise-by-network to exercise-by-self on the diachronic; one axis governs standing, one governs operation, and the two owe each other nothing. Hold this orthogonality, and the subject-to-be is at once a present end of full standing and a gate still maturing—two sayings that do not clash.

As the gate migrates from exercise-by-network to exercise-by-self, what migrates is not the hosts of the three registers together. Two do not migrate at all: the host of standing for a basic right is always in the subject-to-be itself, and entitlement is always anchored in the granting end's giving—it has no host at the receiving end to migrate. Only two migrate with the gate: the operating-host of the recognition-based right, from exercise-by-network toward exercise-by-self; and the subject-to-be's capacity to put, in the first person, an entitlement directed at it into a recognition-based relation—a capacity that too must await the gate's self-exercise. So this generation-gate migrates the operating-host of the recognition-based right and the capacity of transition, not a re-anchoring of entitlement or of standing. And it is by this that the dynamics on the subject-to-be side and the dynamics on the entitlement side join into one matter on this gate: the gate settles whether an entitlement can be put by the self, through the self-exercised gate, into recognition and so elevated, and settles too when the delegated operation migrates back to the self.

§VI. The Three Gate-States: Animal, Infant, Adolescent

One negation-gate—none, exercise-by-network, exercise-by-self—three states. What these three states distribute is the operating-host of the recognition-based right, and the capacity of transition by which an entitlement may be put by the self into a recognition-based relation; entitlement itself is always anchored in the granting end's giving and does not migrate with the gate-state. At the end where the gate is never generated stands the animal, at the end where the gate self-exercises the adolescent, at the end where the gate is exercised by the network the infant, and a child still maturing walks in between. Three positions light up the two ends and the middle stretch of this gate-line at once.

The animal stands at the end where the gate is never generated. It has that gate not at all, and never grows one. So only the face of entitlement is lit in it: a subject's rearing, feeding, guarding of it is the subject's giving, and the animal stands at the end that giving is directed at. It has no face of a delegated-holding recognition-based right, for a delegated holding wants a gate to exercise, and the animal has no gate at all; a subject's decision over an animal converges the animal's circumstance yet does not thereby become a power over the animal—it is disposal, not power, the receiving end of the loop unjoinable there. The animal is thus a pure entitlement-end, one face lit and one wholly dark, and it lights up, on its own, the end where the receiving end has no gate.

> F34. In the infant three things coexist, each with its host. Basic rights: the host of standing is in itself, the infant holds them of its own, an end already, not to be violated. Entitlement, the giving-face: anchored in the caregiver's giving, the infant only the end it is directed at, holding nothing. Recognition-based right, the authority-face: the infant is the holding-end, its host of standing points to itself, while its negation-gate is exercised by the guardian-network, the operating-host lodged, for now, in the network—this is delegated-holding, meaning the operating-host is in the network, not the host of standing in the network. The caregiver's present convergence of the infant's vector of action is a real power; the relation is, through the network's exercise, registered in the infant's action-space, the network keeping for it the positions of response, refusal, withdrawal of registration, and change of guardianship structure; it does not rest on the network's "default acceptance" for the infant. Caregiver, guardian-network, and reviewing node must be told apart in analysis—they may in fact coincide, but when the chief caregiving node crosses the bound of not touching colonization, into colonization, the function of exit and replacement must be exercised for the infant by another independent node in the network, and that is the removal of guardianship; a crossing caregiving node cannot both colonize and independently withdraw, for the infant, its own power. Being reared divides, by whether the vector of action is converged, into two faces—the supply-face landing at entitlement, the converging-face at a delegated-holding recognition-based right—and this is a division of analysis, not the bisection of an empirical event.

The infant is the place in the three gate-states that most wants telling apart, for three things are in it at once.

It holds basic rights of its own. This is anchored in its already, now, being an end; the host of standing is in itself, not to be violated; it lands in no blur, and is held for it by no one.

It stands, as an entitlement-end, under care. Rearing, feeding, cultivation are all the caregiver's giving; the infant is the end it is directed at and does not thereby hold a thing. Put exactly, the infant's being favored lands, in structure, on there being a subject giving to it—not on society's holding some attitude toward it; were it read as a social attitude, that entitlement would become a favor withdrawable at will, and it is not that, it is a giving-relation that stands in structure.

It has, too, certain recognition-positions, held for it by the guardian-network. The decisions a caregiver makes for the infant, the signatures it gives, the destinations it fixes, really do converge the infant's vector of action, and that is a real power. The recognition-based right this power answers to has the infant as its holding-end, its standing belonging to itself; only the gate it should recognize with, refuse with, is for now exercised by the network, so the operating-host of this right lodges, for now, in the network while the host of standing is always the infant. This is what delegated-holding means: the function of operation lodges in the network, the ownership of standing stays with the self. Once a caregiver's convergence crosses the bound of not touching colonization, into colonization, the function of exiting this power must be exercised for the infant by another independent node in the network, and that is the removal of guardianship. Here a distinction: caregiver, guardian-network, and reviewing node in fact often coincide in one person or one family, yet in analysis they are three positions, and a caregiving node in the act of crossing cannot at once colonize and independently, on the infant's behalf, withdraw its own power; the function of replacement must fall on another node not crossing.

Telling entitlement from a delegated-holding recognition-based right runs on the same old blade: whether the vector of action is converged. A single caregiving event—feeding, medicating, a night's arrangement of sleep—often holds several faces at once: pure supply, but also arrangement of time, disposal of the body, convergence of action-space. The face of supply, converging no action-space, lands at entitlement; the face that actually arranges, compels, or converges its action-space is power, landing at a delegated-holding recognition-based right. So one cannot say flatly that a spoonful of food is pure giving; a single dosing has a face of giving and a face of decision, and the criterion reads which face, in this performance, converges the vector—analyzing one event into two faces, not cutting the event in two, nor counting care into two heaps.

The whole of delegated-holding is grounded in the present, not the future. It is grounded in there really being, at this moment, a power converging; grounded in the relation's being, through the network's exercise, registered in the infant's action-space while the network keeps for it the positions of response, refusal, withdrawal of registration, and change of guardianship structure; it does not rest on the network's accepting by default for the infant, and it is not grounded in whether the infant will be able to refuse in future. That it will be able to refuse in future is what settles that the infant is a subject-to-be, and grounds its basic rights, not this present delegated-holding recognition-based right. And a word more, put exactly: what this answers to is the caregiver's power, not the caregiver's right.

> F34a (a corollary of F34). The negation-gate's operation being gradual, the line dividing entitlement from recognition-based right shifts gradually with it; so to impose on a subject-to-be on the continuous stretch between exercise-by-network and exercise-by-self an externally fixed, non-defeasible, cross-situationally uniform binary threshold, dividing once and for all what counts as entitlement and what as recognition-based right, systematically produces a risk of misclassification. Misclassification has two determinate directions, each placed at a register. To misjudge as entitlement what belongs to a recognition-based right is first the non-confirmation of an already-standing recognition-position, placed by P3's express withdrawal, de-powering, or partial lapse; only if the misjudgment further seals shut that position's channels of expression, refusal, or exit is there, besides, a violation of basic rights. To misjudge as a recognition-based right what belongs to an entitlement is to reduce the child into a power relation it has not yet entered; if this seals shut the refusal, expression, or exit of its negation-gate, it enters P5's violation-reading, and what is violated is its basic right of exit. The line shifts, the gate grows, and a fixed threshold cannot keep pace with the moving line—it must, at some point, for some child of some rate of maturing, fall on the wrong side. So clarity here may not be a virtue but the reading-off of a structural predicament; the necessary blur of the line is no debt of theory but a faithful mapping of the gate-state. A threshold that can be overturned by the facts of a case, judged item by item, and kept open to appeal and review is not in this class, and does not necessarily misclassify.

The infant is toward the exercise-by-network end, the adolescent at the gate-self-exercised end, and a child often walks just between them. Its negation-gate, part able to self-exercise and part still exercised by the network, matures, mixed, continuously. Just so, the line between entitlement and recognition-based right is, for a child at this stage, a shifting and gradual one that cannot be drawn as a hard step.

One might think: then draw it more clearly, to be rid of the blur. Here a thing must be told apart: what systematically produces a risk of misclassification is an externally fixed, non-defeasible, cross-situationally uniform binary threshold—not every clear judgment. Such a dead threshold, laid on a gradual and shifting line, must misclassify, and the misclassification has two determinate directions.

One direction misjudges as entitlement what belongs to a recognition-based right. The child's gate can, at some place, already self-exercise; there it can already refuse a power; there is already a recognition-position of its own, with an exit. Should a dead threshold rule this place still a pure giving, an entitlement, that is first the non-confirmation of an already-standing recognition-position, placed by P3's express withdrawal, de-powering, or partial lapse; and should this misjudgment further seal shut its expression, refusal, or exit there, there is besides a violation of basic rights.

The other direction misjudges as a recognition-based right what belongs to an entitlement. The child's gate at some place cannot yet self-exercise; there it is still a single-directional giving, an entitlement, not yet entered into a power relation there. Should a dead threshold take this place for an already-standing power relation, that is to reduce it into a relation it has not entered; and should this seal shut the refusal, expression, or exit of its negation-gate, or redraw its encapsulation, it enters P5's violation-reading, and what is violated is its basic right of exit.

These two directions together say why an externally fixed dead threshold systematically misclassifies. The true line shifts continuously with the gate's maturing, and a dead threshold once fixed cannot keep pace; so it must, at some point, for a child maturing a little faster or slower, fall on the wrong side of the line, and of the two wrong sides, one is first a lapse at the recognition-layer, one may enter a violation of basic rights. So clarity here may not be a virtue but the reading-off of a structural predicament; the necessary blur of the line is no debt of theory but the shape that this still-maturing gate faithfully casts onto rights.

Two boundaries must be drawn about this, lest it be turned to the wrong use. First, the necessary blur licenses only the line's shifting gradually in time, and licenses no fudging at any moment. The structural criterion does not soften for the gate-state's gradualness; it stays hard—read the child's part-operating gate at this moment, and by how far it can self-exercise now, fix which care lands at entitlement, which at a recognition-based right. What must be told apart is: the criterion is hard, while at some moment, on some item, how far that gate actually operates may hold an epistemic uncertainty, a dispute over evidence—and this is the place of the specific disciplines, of procedural checking, of reviewable mechanisms, not a place to fudge some concrete violation past with a phrase that a child should be blurry.

Second, this necessary blur covers only the axis of care and authority, and does not spill onto basic rights. Basic rights are still answered dead, two-valued: to take a child for material, to seal shut the channels by which it opens dimensions, is violation, with not an inch of blur. Were the phrase that a child is blurry in everything to spill over the axis of basic rights, it would come to saying that violating a child's basic rights too faithfully maps its gate-state, and that turns the thing wholly over. The direction just named—misjudging an entitlement as a recognition-based right, sealing the negation-gate—violates just the basic right, and so confirms that this axis brooks no blur, rather than the reverse.

So here clarity wears two faces, one a virtue and one a violation. On the axis of basic rights clarity is a virtue, answered dead, brooking no violation. On the axis of care and authority, imposing a clear threshold on a gradual gate carries the possibility of violation. One and the same clarity, by which axis it lands on, comes out flatly opposed.

> F35. Once the gate takes a stable first-person ownership, that negation returns to the self, the formerly delegated operation begins to migrate to self-exercise, and an entitlement's spontaneous elevation becomes possible from this moment. What returns to the self at once is the questioning-initiative and the first-person ownership of the negation-gate; the gate self-exercising, it takes the capacity, in the first person, to initiate a questioning, to refuse, and to make an entitlement directed at it form a recognition-candidate position—capacities the self holds of its own, not to be sealed, so that whoever seals its position of expression or channel of exit commits a violation. But the gate's self-exercising does not of itself generate a workable recognition-based right; what it first gives is the position of first-person initiation and refusal, while a particular recognition-based right still requires the three-branch meshing. Whether a particular arrangement comes to stand, when, and whether a guardianship structure is still needed, passes first T5's decision on subject-position and registration of the relation, and, should it further need testing whether the two remain ends to each other, then enters 15DD's symmetry-check, with a court's enforceable ruling where needed—the guardian too is a subject with a position, and it is not the self's to say alone; this side runs on the specific disciplines for its quantity. And the gate, once it takes stable first-person ownership, keeps that ownership and standing from returning to the network, while the gate's actual operation may still be interrupted for a time by sleep, anesthesia, coma, or crisis, when the network may again furnish functional assistance or procedural representation—a re-delegation of function that is no regression of qualification and no return of standing to the network. Structure gives the direction, the quantitative domain awaits social judgment.

The adolescent stands at the gate-self-exercised end. The gate self-exercising, the whole prior apparatus of delegated-holding begins to migrate to self-exercise, that negation returned to the self, the responses and refusals the network kept for it now kept by itself; and an entitlement's spontaneous elevation to a recognition-based right becomes truly possible from the moment the gate can self-exercise, since for it to recognize or not recognize a power of itself, it must have a gate of its own to use.

One thing returns to the self at once, the moment the gate self-exercises: the questioning-initiative, with the first-person ownership of the negation-gate. The gate self-exercising, it can of itself enter a registered power relation, and so takes that capacity, on the ridge, to initiate a questioning, to press or to relinquish—the capacity by which an entitlement can be made, by the self, to form a recognition-candidate position; its coming to a workable recognition-based right still passes the three-branch meshing. This side, the positions of initiation and refusal, the self holds of its own, not to be sealed; whoever seals its position of raising a questioning, seals its channels of expression or exit, commits a violation, judged by the crossing of an encapsulating boundary. So an adolescent whose gate self-exercises, to raise a questioning—say, to raise whether it will change a guardianship arrangement—that position of raising is its own, and no one may seal it.

But to raise and to have the raising come to stand are two matters. The gate self-exercising first gives only the position of raising and of refusal; whether a particular recognition-based arrangement comes to stand, whether it becomes a runnable right, still passes the three-branch meshing. And this arrangement passes first through T5: T5 decides how this relation is registered, how the subject-positions of the parties are set; and should one ask further whether the parties in this arrangement remain ends to each other, that is another instrument, 15DD's symmetry-check, with a court's enforceable ruling where needed. In this arrangement the guardian too is a subject with a position of its own, and it is not the adolescent's alone to say. So whether to change, and into what, is no yes-or-no question but a question that must pass a two-way check; it lands on the side of the quantitative, run by the specific disciplines and specific judgments for its measure. What philosophy can say here is that this line should be, that this line shifts with the gate-state, that this question must be discussed and re-discussed—not that it draws the child's measure for it.

Telling these two sides apart is what dodges two sayings, each wrong. One says: the gate self-exercising, the adolescent should decide everything of itself—which counts the having-it-come-to-stand to it as well, dropping that two-way check, dropping the guardian's side. The other says: a minor must wait yet awhile—which stops up even the position of raising, dropping that the initiative takes effect the moment the gate self-exercises. The exact saying: the initiative returns to the self at once, while whether a particular arrangement stands passes the two-way check, its measure judged by society.

This line is at once gradual and directed. It is gradual because that gate matures continuously, the line shifting with it. It is directed because, the gate once taking a stable first-person ownership, that ownership and standing no longer return to the network, and this direction is single, not to be revoked, not decided by any society's vote. Told apart: what does not return is the first-person ownership and standing; the gate's actual operation may yet be interrupted for a time by sleep, anesthesia, coma, sudden incapacity, or crisis, when the network may again furnish functional assistance and procedural representation—a re-delegation of function that is no regression of qualification and no return of standing to the network, the ownership still with the self, only the operation borrowing an outside hand for a time. So society's judgment fixes at which measure this gradual line is drawn at present, not whether the line should be, still less whether it can be run backward. It is finding a point on an axis already given a direction, not voting a direction in a directionless space. So it falls into no anything-goes agnosticism—for the basic side is answered dead—and into no everyone-to-their-own relativism—for the direction is single, judgment only finding a point on a directed axis.

Three gate-states have thus lit the whole spectrum. The animal at the never-generated end shows only the face of entitlement. The adolescent at the gate-self-exercised end has its delegated-holding migrated to self-holding, the questioning-initiative returned to the self. The infant at the exercise-by-network end has three things coexisting: it holds basic rights of its own, stands under care as an entitlement's pointing-end, and has the operating-function of its recognition-based right held for it by the network, the entitlement itself still anchored in the caregiver's giving and held for it by no one. And a child still maturing walks between infant and adolescent, the line between entitlement and recognition-based right, for it, of necessity shifting and blurred. The prevailing frame often takes the minor for standing at a discount, power shrinking notch by notch with age. Here it is not so: standing is equal from the first, and what changes is only that gate, from exercise-by-network to exercise-by-self. So the disputes about whether a child should decide for itself are read here not as how much power to give it but as which negations fall on the axis of the basic, taking effect the moment the gate self-exercises, beyond any guardian's reach, and which fall on the axis of concrete disposal, the line shifting with the gate, an imposed dead threshold carrying the possibility of violation. A question long taken for a matter of age-policy is thereby turned into a question of structural criterion.

Conclusion

The dynamics of the three registers close, here, one loop. Basic and recognition-based rights are held by a subject, entitlement anchored in the granting end's giving; and what runs through the three, settling which register a relation falls in and how it transitions between registers, is that negation-gate. The phase transition of entitlement is the opening and closing of its power loop; the generation of the subject-to-be is that gate's migration from exercise-by-network to exercise-by-self; the two were two faces of one gate, and this study sews them onto that gate and writes them out together.

Paper 0's first debt, the full dynamics of entitlement, is here repaid. Its violation, withdrawal, and T5 are none of them a set of entitlement's own but the dynamics of the granting end's giving; the register of entitlement adds no set of its own to the register of rights (F30). Elevation is the closing of the loop, reverse transition its reopening, but reverse transition holds only for that family bottomed on a single-directional giving that still persists, other recognition-based rights' lapse being handled by P3 (F31). A many-party giving is a superposition of many single-directional entitlements, not one two-way entitlement (F28). By these, entitlement is set firm as one register purely of single-directional giving.

Paper 0's second debt, the generation-gate of the subject-to-be, is likewise settled. That a subject-to-be holds basic rights is grounded in its already, now, being an end, not in its coming-to-be (F33). That gate is gradual, migrating from exercise-by-network to exercise-by-self, while what the network exercises is only the gate's function, the first-person ownership never handed over, and what migrates with the gate is the operating-host of the recognition-based right, not the anchor of entitlement or of standing. The three gate-states light the two ends and the middle stretch of this gate: the animal at the never-generated end shows only entitlement, the adolescent at the self-exercised end has its questioning-initiative returned to the self, the infant at the exercise-by-network end has three things coexisting; and a child still maturing walks in between, the line between its entitlement and its recognition-based right of necessity shifting and blurred, an imposed externally fixed dead threshold systematically producing a risk of misclassification (F34, F34a, F35).

One duality this study leaves outside the gate: the ridge of the theory of power and the ridge of the theory of rights are, at the seam of T5, two opposed faces, and their full duality is left to a cross-paper study.

Paper 0 read the transparent-state checking-network of 15DD as the structure of a kingdom of ends. In that kingdom each subject's own law already contains the other. Entitlement is just a position this law—the law that contains the other—turns out: that position turned only outward in giving, never drawing power back to itself, the other-face of one's own law, come to form in a relation. And the subject-to-be's three gate-states—the animal end's pure giving, the infant end's delegated-holding, the adolescent end's self-holding—are not one and the same entitlement turning from giving to delegated-holding to self-holding, but three configurations of relation that this negation-gate, passing from none to exercise-by-network to exercise-by-self, shows in time; what migrates is the gate's function, the operating-host of the recognition-based right, and the capacity of transition, while the anchor of entitlement stays always in the granting end's giving, unmoved.

Appendix: A Retrospective Comparison with Existing Theories of Rights

This appendix is no part of the main text. The main text's nine propositions are built on SAE's already-published chain of derivation, drawn from Negativa through one's own law, the register of rights, T5, cultivation, limit and violation and the other propositions already raised, and take no external theory in this appendix as premise. Here we turn back and set the results derived beside the existing theories of rights, to see where each stands on the same question, where they meet and where they part. This is a retrospective comparison, not a dependence of premise; SAE does not stand by these theories, but having derived, borrows their outlines to draw its own clearer.

The comparison only states likeness and difference and passes no verdict of higher and lower. At each place it says only how that tradition walks the question and how SAE walks it, where the two meet and where they part, and not who is right and who wrong, who more complete. A difference is set out as a difference, the rights and wrongs left to the reader to weigh. The main text's cautions are not relaxed in the appendix either: of the unborn only the structure of rights-grounding is spoken, not its moral status; the quasi-subject is not adduced by example; competence-judgments of that kind are read only for their structure, without ruling any particular age. The naming of theorists below, and the citing of their positions, is what the appendix's retrospective comparison requires; the main text still names no one and cites no case.

A. The Will Theory and the Interest Theory

On what the holding of a right turns, the will theory and the interest theory give two answers. The will theory, of which Hart is representative, turns a right on the holder's will: a right is a legally respected choice, the holder able to press it, waive it, enforce it, and so the core of a right is that choosing will [1][2]. The interest theory, of which MacCormick and Raz are representative, turns a right on the holder's interest: X has a right because some interest of X is sufficient ground to hold others under a duty, and so the core of a right is that protected interest [4][5]. The parting of the two shows sharpest at the infant and the animal: a being with no matured will falls, on the will theory, outside the will, for it has no will able to press or waive, while on the interest theory it comes in, for it has interests—MacCormick took children's rights precisely as a test-case for the will theory, holding that any theory that cannot accommodate children's rights is deficient, and turned on that ground to the interest theory [3].

SAE walks a third road. It turns a right on neither will nor interest. A basic right turns on standing, the position a subject, as an end, holds at once; it turns on the inexhaustibility of the remainder, not on whether there is now a choosing will (承 P2), so that an infant, a sleeper, holds full standing, not short a right for the will's momentary silence. As for interest, SAE places it at 14DD, the range of input-for-return exchange, not at the 15DD layer of rights (承 Paper 0); what answers to another's giving is the register of entitlement, and entitlement is anchored in the granting end's giving, not in the receiving end's interest.

The meeting and parting are thereby clear. SAE and the will theory meet on the adult subject's pressing and waiving, the very side of a recognition-based right that may be relinquished, and part at the infant and animal, where the will theory sets them outside the will and SAE gives each a position by standing and by entitlement. SAE and the interest theory are near in both meaning to accommodate the infant and animal, and part on what accommodates: the interest theory takes interest, SAE takes standing and the granting end's giving, moving interest wholly out of the rights layer. Paper 0 has, with the unborn beneficiary of the trust, already displayed the joint failure of the two roads, will and interest, at one place; this appendix lays that place out, on the gate-states of infant and animal, in finer grain.

B. Potentiality-Theory

By what does a fetus, an infant, hold a right? A common answer of potentiality-theory is: it will become a person, it has the potential to become a subject, so it should have rights now. This potential road some defend, holding a fetus's potential to become a person sufficient to give it some present moral relevance [7], and some oppose, holding potential personhood insufficient to give the status of an actual person, and even where it exists overridden in conflict with an actual person's [6]. Either way, this dispute places a right's root in the future, in a subject not yet come, or around it.

SAE does not take this road. That a subject-to-be holds basic rights is grounded not in its coming-to-be but in its already, now, being an end (承 F33, the prefatory study); it is a being truly growing that negation-gate, and whatever is an end holds standing, a matter of this present moment, having nothing to do with what it will grow into. The word "generation-gate," in SAE, describes the diachronic migration of the negation-gate's mode of operation, from exercise-by-network to exercise-by-self, not the generation of subjecthood from nothing; standing is fixed, from the first, on the standing, and does not grow in the gate's migration.

The meeting and parting: SAE and both sides of potentiality-theory face the same being not yet grown, and part utterly on where its right is grounded—potentiality-theory's dispute places the root in the future subject, or turns around the future potential, while SAE alone places the root in the present being-an-end. As for when this being comes to count as a person, that is a question on another axis; potentiality-theory often draws it in, and SAE here does not touch it, reading only the structure of rights-grounding, ruling not on the starting-point of moral status.

C. Gillick Competence and Best Interests

When may a child decide for itself? Existing practice on children's rights gives two pivots. One is the pivot of competence, of which the Gillick standard is representative: a child that has, on the matter in hand, understanding and intelligence enough is held competent on that matter to consent of itself, so that whether it may decide turns on whether its understanding of that item suffices [8]. Put exactly, this is an item-relative finding of fact, not a uniform line of age, nor a total threshold that, once crossed, applies to all matters. The other is the pivot of best interests and evolving capacities, of which the two provisions in the convention on the rights of the child are representative: a child's disposal follows its best interests, its capacities taken to unfold by degrees with age [9].

SAE changes the pivot. It pivots on the gate-state, on the base of standing. A child's negation-gate operates gradually, part able to self-exercise and part still exercised by the network, maturing continuously, mixed (承 F33); it is because the gate is gradual that the line between entitlement and recognition-based right is, at this stage, of necessity shifting (承 F34a). As for interest, SAE has moved it out of the rights layer, to 14DD, and so pivots not on best interests but on the child's part-operating gate at this moment, fixing which care lands at entitlement, which at a recognition-based right.

The meeting and parting: SAE and the Gillick standard meet more than at first sight—Gillick takes capacity as an item-relative finding of fact, and SAE too holds capacity to vary by item, neither claiming a fixed line of age. The parting is that SAE goes further, reading the gate-state as a domain-partitioned and gradual structure, and that the risk of misclassification F34a names is aimed just at that externally fixed, non-defeasible, cross-situationally uniform dead threshold, not at Gillick's item-relative, fact-founded finding of capacity. The parting from the best-interests pivot is clearer still: it pivots on interest, SAE has moved interest wholly out of the rights layer. So on one and the same child, one reading reads whether its understanding of some item suffices, or reads its best interest, another reads how far this gate operates at each place; the readings part here. SAE here only sets them side by side, ruling no particular age, that left still to the specific disciplines and to social judgment (承 F35).

D. The Fiduciary Theory of Children's Rights

By whom, in what capacity, is a child's right exercised for it? One strand of children's-rights theory answers: a trustee—a guardian is like a trustee, holding and exercising the child's right for it, as a trustee manages a trust for a beneficiary; on this reading, some recast parental authority, from a right inherent by status, as a bundle of fiduciary responsibility toward the child [10]. This model catches a true thing: the child's right is, for now, really operated for it by another.

SAE takes this true thing apart finer. It parts two hosts, a host of standing and an operating-host. That recognition-based right of the child's has its host of standing always the child itself, the right belonging to it, while the gate it should recognize with, refuse with, is for now exercised by the network, so the operating-host lodges, for now, in the network—this is delegated-holding, the function of operation lodging in the network, the ownership of standing staying with the self (承 F34). And SAE says exactly: what the network exercises is only the gate's function—refusal, protection, representation, the position of negation in the procedure; it can no more make the child hold a first-person gate, or pass off its own judgment as the child's law; the first-person ownership of the gate is never handed over.

The meeting and parting, in two places. First, on the drawing of that "for": the fiduciary strand takes the "for" as one loose trusteeship, SAE parts it into a host of standing and an operating-host, and pins what the network exercises dead to the gate's function, not to the gate's first-person ownership. Second, on the root of the right: that fiduciary strand moves the root from a right inherent by status to a fiduciary responsibility toward the child, while SAE does not move that root—standing stays with the child, the right still comes from its status as an end, only the operation lodges, for now, with the network. So a guardianship's turning to colonization, crossing the bound of not touching colonization, has in SAE an exact landing: another independent node in the network exercises for the child that negation-gate, exit, and that is the removal of guardianship (承 P4 F18).

These four comparisons are only to draw SAE's own outline clearer, borrowing another's outline. SAE is derived from Negativa through its already-published chain of derivation; these theories are the mirror it looks in after deriving, not the ground it stands on. Where it fills a hole existing theory left, and where it only changes a pivot with its own gains and losses, the appendix passes no verdict, and leaves the reader to weigh.

A Note on a Cross-Paper Terminological Refinement

F27 of this study tightens the phrasing of Paper 0—that the receiving end holds the entitlement, that an animal has an entitlement—to: entitlement is anchored in the granting end's giving, the receiving end only the end that giving is directed at, holding no position. This is a cross-paper terminological refinement, of a kind with the tightening of "conferred recognition" to "constitutive recognition" within the register of recognition; it changes neither Paper 0's concept DOI nor any of its structure. Should a reader meet the two phrasings together, the granting-end anchoring of this study governs; the two say the same thing, this study only saying the anchor more exactly.

References

[1] Hart, H. L. A. "Are There Any Natural Rights?" The Philosophical Review 64, no. 2 (1955): 175–191.

[2] Hart, H. L. A. "Legal Rights." In Essays on Bentham: Jurisprudence and Political Theory. Oxford: Clarendon Press, 1982.

[3] MacCormick, Neil. "Children's Rights: A Test-Case for Theories of Right." Archiv für Rechts- und Sozialphilosophie 62, no. 3 (1976): 305–316. Reprinted in Legal Right and Social Democracy: Essays in Legal and Political Philosophy. Oxford: Oxford University Press, 1982.

[4] Raz, Joseph. "Legal Rights." Oxford Journal of Legal Studies 4, no. 1 (1984): 1–21.

[5] Raz, Joseph. The Morality of Freedom. Oxford: Clarendon Press, 1986.

[6] Warren, Mary Anne. "On the Moral and Legal Status of Abortion." The Monist 57, no. 1 (1973): 43–61.

[7] Manninen, Bertha Alvarez. "Revisiting the Argument from Fetal Potential." Philosophy, Ethics, and Humanities in Medicine 2 (2007): 7.

[8] Gillick v West Norfolk and Wisbech Area Health Authority [1986] AC 112; [1985] UKHL 7 (House of Lords).

[9] United Nations. Convention on the Rights of the Child. 1989 (esp. Arts. 3 and 5).

[10] Scott, Elizabeth S., and Robert E. Scott. "Parents as Fiduciaries." Virginia Law Review 81, no. 8 (1995): 2401–2476.

On Rights and Entitlements
论权利与权益

Introduction

§I. Entitlement Is Anchored in the Granting End

§II. Single-Directionality Is the Absence of a Power Loop

§III. The Violation, Withdrawal, and T5 of Entitlement

§IV. Elevation and the Two Faces

§V. The Generation-Gate of the Subject-to-Be

§VI. The Three Gate-States: Animal, Infant, Adolescent

Conclusion

Appendix: A Retrospective Comparison with Existing Theories of Rights

A. The Will Theory and the Interest Theory

B. Potentiality-Theory

C. Gillick Competence and Best Interests

D. The Fiduciary Theory of Children's Rights

A Note on a Cross-Paper Terminological Refinement

References

导言

§I 权益锚在授予端

§II 单向即无权力回路

§III 权益的侵撤回与 T5

§IV 升格与两张脸

§V 准主体的生成门

§VI 三门态贯通动物婴儿青少年

结语

附录与现有权利理论的后验对照

甲意志论与利益论

乙潜能论

丙 Gillick competence 与 best interests

丁受托人式的儿童权利论

附记跨篇术语精化

参考文献

On Rights and Entitlements论权利与权益

Introduction

§I. Entitlement Is Anchored in the Granting End

§II. Single-Directionality Is the Absence of a Power Loop

§III. The Violation, Withdrawal, and T5 of Entitlement

§IV. Elevation and the Two Faces

§V. The Generation-Gate of the Subject-to-Be

§VI. The Three Gate-States: Animal, Infant, Adolescent

Conclusion

Appendix: A Retrospective Comparison with Existing Theories of Rights

A. The Will Theory and the Interest Theory

B. Potentiality-Theory

C. Gillick Competence and Best Interests

D. The Fiduciary Theory of Children's Rights

A Note on a Cross-Paper Terminological Refinement

References

导言

§I 权益锚在授予端

§II 单向即无权力回路

§III 权益的侵 撤回 与 T5

§IV 升格与两张脸

§V 准主体的生成门

§VI 三门态贯通 动物 婴儿 青少年

结语

附录 与现有权利理论的后验对照

甲 意志论与利益论

乙 潜能论

丙 Gillick competence 与 best interests

丁 受托人式的儿童权利论

附记 跨篇术语精化

参考文献

On Rights and Entitlements
论权利与权益

§III 权益的侵撤回与 T5

§VI 三门态贯通动物婴儿青少年

附录与现有权利理论的后验对照

甲意志论与利益论

乙潜能论

丁受托人式的儿童权利论

附记跨篇术语精化