Chisel and Emptiness: An Interface Analysis between Self-as-an-End and Madhyamaka / the Sanlun School
凿与空:Self-as-an-End 与中观/三论宗的接口分析
This is the third paper in the Self-as-an-End (SAE) Buddhist Interface Series. It places Madhyamaka — and its systematized Chinese form, the Sanlun (Three-Treatise) school, here read chiefly through Jizang's doctrinal classification — into a structural interface analysis with SAE. An interface analysis marks, between two frameworks, both their correspondences and the points at which they cannot be translated into one another; it is neither translation nor absorption. The paper extends the series' coordinate system from two faces to three: where the first two papers read Yogācāra as illuminating the construct (fine-grained building) and Chan as illuminating the chisel (the breaking of any abidable construct), this paper reads Madhyamaka as illuminating the law — the cross-positional constraint that no construct and no chiseling can be fixed as self-natured. This "law" is emphatically not a third position higher than construct and chisel, but a non-fixability that holds at every position; Madhyamaka's point of application here is the layer at which the self grasps itself as an end, while its full range (the emptiness of all dharmas) belongs to Madhyamaka itself, of which this paper's lens takes only one section.
Six correspondences are drawn. The eightfold negation is read as a total negation of self-nature-grasping (rooted in "neither arising nor ceasing," the other six reducing to it), not four blades cutting four targets. The four levels of the two truths correspond step-for-step to a four-step movement of negation, with Jizang's "neither-two-nor-not-two" used as the strongest historical instance of a double negation that does not collapse back into affirmation. The three turnings of the Dharma wheel are read as a structure of teaching fitted to capacity, not a developmental sequence of ascending subjects. "Quiescence" is fixed as a boundary between the stilling of dyadic proliferation and SAE's asymmetric construct-remainder succession (a boundary discovery, not a smuggled positivity). The term "true reality" is taken only in its apophatic use. Sengzhao's critique of the three houses is used as a firewall against the reification or half-completion of emptiness. The central untranslatable lies at the second truth: Madhyamaka treats conventional designation as a name carrying no weight of self-nature, while SAE treats the construct as a sediment with real constraining force; this seam appears, isomorphically, at the ontological, disciplinary, and reflexive layers. The conclusion: Madhyamaka is not an "unfinished SAE" but a framework with a different aim, complete in itself — this paper meets it in structure and parts from it at the second truth.
Keywords: Self-as-an-End; Madhyamaka; Sanlun school; Jizang; the two truths; the eightfold negation; emptiness; interface analysis
0. Introduction
This is the third paper in the Self-as-an-End (hereafter SAE) Buddhist Interface Series. The first two engaged Yogācāra and Chan: the Yogācāra paper treated the ālaya-vijñāna / seed system and the fine-grained construction of the individual mind; the Chan paper treated non-abiding, the breaking of abidable constructs, and the leap within the maturation of the self. This paper engages Madhyamaka and its systematized Chinese form — the Sanlun school, and especially Jizang's system of doctrinal classification.
The nature of the series must be stated at the outset, because it governs how every correspondence below is to be read. What the series does is interface analysis, not translation and not absorption. The task of an interface analysis is to mark, between two frameworks, both where they correspond and where they cannot be translated into one another — the two with equal weight. To state the correspondences in full while concealing the breaks is to let the interface quietly become absorption; to mark only the breaks and refuse the correspondences is to refuse analysis. This paper must especially hold the former line — because the depth of correspondence between Madhyamaka and SAE produces, almost imperceptibly, a pull toward reading Madhyamaka as an "unfinished SAE," and that is precisely what an interface analysis must resist. SAE does not take Madhyamaka to be an early version of itself, nor does this paper take Madhyamaka to be a framework awaiting completion; the two are each complete, with different aims, meeting in some structures and parting in others.
The series' coordinates: from two faces to three
The series reads different Buddhist traditions as high-resolution probes set at different positions in the evolution of mind. By this paper, that coordinate system needs an extension. The first two papers used two faces: Yogācāra illuminates the construct — how the thing built takes fine-grained form at a particular position; Chan illuminates the chisel — the negating act that pares away, that breaks the abidable construct. This paper introduces a third face: Madhyamaka illuminates the law — that no construct and no chiseling can be fixed as self-natured.
The nature of this third face must be made clear at once, or it will be misread as a higher position. It is not. Construct and chisel each fall at some position in the evolution of mind (Yogācāra illuminates the construct at the level of the self's fine-grained building; Chan illuminates the chisel at the seam of the leap in the self's maturation); whereas the law is not another position but a constraint that holds across all positions — at whatever layer, however finely constructed, however thoroughly chiseled, that construct cannot be fixed, without remainder, as something self-existent, self-sufficient, and independent of conditions. In other words, "construct-position," "chisel-seam," and "law" name three faces, not three positions side by side: the construct is the thing built, the chisel is the paring act, the law is the constraint that no position closes. Madhyamaka operates on the layer at which the self grasps itself as an end (why this layer is Madhyamaka's point of application is detailed in the next section), and what it illuminates there is this cross-positional law.
This extension does not revise the first two papers. Yogācāra illuminates the construct, Chan the chisel — both still stand; this paper only advances the series' coordinate system from two faces to three, giving, for the first time, its own probe to the constraint — "no construct and no chiseling can be fixed" — that has been operating in the background all along.
This paper's subject term and point of application
This paper's subject term is "emptiness," and what it engages is Madhyamaka's negation of "self-nature" (svabhāva). But a boundary must be set here, and it runs through the whole paper: on the Buddhist side, what Madhyamaka negates is the grasping of self-nature in all dharmas — emptiness is the universal absence of self-nature in all things; what this paper takes is only the high-resolution interface of that negation at the layer where the self grasps itself as an end. The full range of emptiness belongs to Madhyamaka; this paper's lens illuminates only one segment of it. This boundary is not a modest disclaimer but a necessary statement against narrowing Madhyamaka — wherever the text below speaks of "emptiness operating at some layer," it is to be read under this boundary: that is the point of application SAE has selected, not the whole range of Madhyamaka's emptiness.
Why is the point of application the layer at which the self grasps itself as an end? Because the self-nature-grasping that Madhyamaka negates is, in the sequence of mind's evolution, most acutely condensed here. In the SAE sequence, after self-consciousness emerges comes the layer of "meaning" — where the subject begins to seek reasons for its own actions and takes itself as an end in itself (14DD, the layer of being-toward-death). [4] Every grasping at this layer — seeking a fruit, seeking a station, positing a self-sufficient and complete "I" — is, in essence, the building of "the self" into something self-natured: self-arising, independent, unchanging. What the eightfold negation and the four levels of the two truths take apart, blade by blade and layer by layer, is precisely this grasping that fixes the self as a self-natured end. The point must be stated precisely: what Madhyamaka does is negate — it deflects the grasping that fixes the self as self-natured; and once the grasping loosens under that negation, the subject need no longer stake all its force on guarding this self-natured "I," and so the possibility opens up of turning toward a higher position — acknowledging that the other, too, is an end in itself (15DD, the ethical layer). [4] What this paper tracks is precisely how this negation of Madhyamaka's opens up, within the SAE coordinate system, the possibility of that turn: the through-line is "the possibility the negation opens up," not "negation for the sake of the turn" — the turn is the room left over once grasping loosens, not a goal carried by Madhyamaka's negation. Within its own soteriology, Madhyamaka's negation aims at non-attainment, not at this SAE turn; "opening the possibility of turning toward the other" is a downstream effect read off in the SAE coordinate system, not the intent of Madhyamaka's negation.
The boundary must be restated, because it slips most easily right here: to say that Madhyamaka "operates on the layer at which the self grasps itself as an end" is the point of application SAE has selected for interface analysis, not a claim that Madhyamaka in its own sense is a psychotherapy of the self's ends. Madhyamaka is a total negation of self-nature-grasping in all dharmas; this paper takes only its interface at this layer. When the eightfold negation is discussed below as "total negation," this will be returned to.
The type of probe
In the previous paper, Chan's probe was mixed: it had both a structural-interface face and an engineering-operation face — Chan, with a blow or a shout, a single device in a single situation, directly precipitates the leap; the freedom of the chisel is very high, the precision of the construct very low. [4] Madhyamaka sits at the opposite end of that axis: it approaches the same non-fixable point through the exhaustive enumeration of the eightfold negation, the logic of the tetralemma, and the layer-by-layer advance of the two truths — the freedom of the chisel low, the precision of the construct high. So this paper's probe is "interfacing through the structure of argument, turning apophatic at the terminus" — the form of the argument (the eightfold negation, the tetralemma, the logical architecture of the two truths) can be matched step by step with SAE's structure, but at the terminus (non-attainment, the emptiness of emptiness, words forgotten and thought cut off) nothing can be stated positively any longer; it can only be marked by negation. This mirrors the Chan paper exactly: Chan turns apophatic at the leap, Madhyamaka turns apophatic where the argument exhausts itself.
Texts and citation
This paper's textual spine is the Three Treatises (the Mūlamadhyamakakārikā / Zhonglun, the Dvādaśanikāya-śāstra, the Śata-śāstra) and Jizang's writings (the Dasheng xuanlun, the Erdi yi, the Sanlun xuanyi, the Zhongguanlun shu, the Fahua youyi), in Kumārajīva's translation system. The Zhaolun is brought in as a prehistory-interface to Kumārajīva's translation circle and the early Chinese Madhyamaka milieu, not as an internal criterion of the Sanlun school. Nāgārjuna's Vigrahavyāvartanī serves as a side-witness in the reflexive section, outside the spine. Modern Madhyamaka scholarship (e.g., the relevant svabhāva analyses) is used only to sharpen the accuracy of statements about Madhyamaka, and bears no warrant for any SAE thesis — the SAE-side structure cites only SAE's own published texts.
Below, wherever SAE's structure is cited (the five terms of the chisel-construct cycle, the dimensional sequence, the law at each layer), the reference is to the methodology paper and related applications, marked [4] etc.; wherever Madhyamaka and Sanlun texts are cited, their sources are marked, with line-references to be finalized against the canon.
1. Anchoring emptiness
To place "emptiness" into the SAE coordinate system, the first thing is to determine where it falls. The answer is not a point but a line — within the SAE coordinate system, emptiness runs vertically through three layers.
Emptiness as thesis corresponds to a core SAE claim: no construct can close upon itself; every act of construction leaves a remainder not gathered in. [4] When Madhyamaka says "all dharmas are without self-nature," it says that no dharma is self-arising, self-sufficient, independent of conditions; when SAE says "no construct closes," it says that no construct can seal itself off without remainder. The two meet at the conclusion — one "without self-nature," one "non-closing."
Emptiness as operation corresponds to SAE's negating method itself — the act of paring away, breaking, interrogating the points of incompleteness (the chisel). [4] Madhyamaka does not treat "emptiness" as an object to be reached, but takes negation as the operation running throughout: negating self-nature, negating grasping, negating every abidable view. This is isomorphic with the working of the chisel: the chisel posits no terminal construct; it only negates the present construct, again and again, forcing out its remainder.
Emptiness as terminal signature corresponds to that SAE limit which cannot be stated positively and can only be approached by negation — the position of the thing-in-itself. [4] "The emptiness of emptiness," "non-attainment," "words forgotten and thought cut off" — none of these describes an attained state; each is an apophatic mark left where the argument runs to its end. In SAE, this limit can only be trusted, not known; it appears only in the form of a double negation and cannot be positively constructed. [4] Madhyamaka's non-attainment falls precisely at this position.
So "emptiness" in the SAE coordinate system is not an isolated point but a line running from the thesis "no construct closes," through the operation "negation," to the terminal signature "non-attainment."
The three marks of self-nature, and one boundary that must be made clear
For the interface to be precise, the content of "self-nature" must be unpacked. The self-nature (svabhāva) that Madhyamaka negates classically has three marks: not arising from conditions (self-arising), without change (permanent), not dependent on another for its being (independent). The negation of all three SAE accepts wholesale — no construct is self-arising, unchanging, or independent.
But here is one boundary that must be made clear, or an SAE concept will be forced into Madhyamaka's terms. SAE's core concern is whether a construct closes, whether it leaves a remainder — this is a "remainder-perspective" criterion. Svabhāva's second mark, "without change," is a "time-perspective" criterion — it concerns whether a dharma arises and ceases, changes, in time. The two resemble each other but differ at root: SAE asks "does this construct leave an ungathered residue," svabhāva asks "does this dharma change." So when SAE operationalizes "without self-nature" as "no construct closes," it travels its own "remainder-perspective" branch, not svabhāva's "time-perspective" branch of "without change." This must be written out: the three marks (self-arising, without change, independent) are on the Madhyamaka side; SAE reading "closure / remainderlessness" as its own version of "self-nature" is an interface operation, not a claim that svabhāva's original sense was "remainderlessness." Holding this boundary neither distorts Madhyamaka nor lets SAE's main beam (emptiness = no construct closes) lose its footing.
Though the two meet at the conclusion "without self-nature / non-closing," the engines of derivation differ. Madhyamaka derives from dependence: dharmas all arise dependent on conditions, hence without self-nature. SAE derives from occlusion: every construct occludes something, hence must leave a remainder and cannot close. [4] The same conclusion, two engines — this is exactly the "correspondence-plus-boundary" an interface analysis marks: correspondence at the conclusion, boundary at the engine.
A direction, not a terminus
Finally a guardrail must be set, one that recurs throughout. SAE's limit — that non-fixable point — is a direction, not a terminus. The subject cannot penetrate it, only approach its apophatic edge; "keep chiseling" is the discipline, and that limit is the direction the chisel faces, not a terminus that can be occupied. [4]
Strikingly, Madhyamaka runs in the same direction here. Madhyamaka too forbids "arrival" — "non-attainment" says precisely that there is no attained terminus to reach, and that even "emptiness" cannot be grasped as a realized object. The two coincide at the operational layer: both forbid turning that limit into an abidable dwelling.
But this coincidence has its boundary, which must be marked at the same time, or two frameworks of opposite ground will be flattened together. At the operational layer, the two forbid "arrival" in the same direction — this is correspondence. At the ontological layer, the reasons they forbid it are opposite: SAE forbids arrival because that limit really exists yet cannot be penetrated — the remainder of the chisel-construct never reaches zero, and the subject approaches infinitely, along a real direction, a pole that is real yet unreachable; Madhyamaka forbids arrival because that pole is, ontologically, simply empty — a deflected shadow of all proliferation. One is "the road has no end, yet the direction is real"; the other is "both the road and the destination are conventional designation." So this coincidence must not be read as "the two are the same thing at the terminus" — they run in the same direction on "forbidding arrival," and split on the ontological judgment of "whether the thing forbidden is real or empty." Correspondence and break holding at once is exactly the task of an interface analysis here.
This break is not a nuisance for this paper to flatten, but one face of the central untranslatable, to be developed in Section 6. Here its position is marked: the two shake hands at "forbidding arrival" and part at "real or empty."
2. Refuting error and revealing what is right, and "establishing"
The banner of the Sanlun school is "refuting error and revealing what is right" (破邪显正). These four characters must first be clarified, because they are most easily read as "refute the wrong, establish the right" — as if "revealing the right" were the setting-up of a correct thesis after the refutation. This is not Sanlun's own sense. Jizang's "right" is not the setting-up of a further correct construct; refuting error is revealing the right — what is called "right" is just the right contemplation of non-attainment itself, the holding that fixes no statement as an abidable place. In SAE's terms: the "right" here is not a terminal construct but the holding of the discipline itself — "no construct can close." Refuting and revealing are not two steps (first refute, then establish) but one thing — refuted to the end, with no abidable "right" set up, that non-setting-up is the right.
This is isomorphic with SAE's chisel: the chisel exists not to set up a terminal construct but is itself the act that negates without cease, that lets no construct be fixed. Sanlun's "refuting error and revealing the right," in the SAE coordinate system, is a thorough carrying-through of the chisel in the dimension of argument — refuting every abidable view to the end, without setting up an abidable right view at the end of the refutation.
The divergence over "establishing"
But it is precisely on this word "establish" that the two have a real divergence, which must be stated precisely.
Sanlun's discipline is refuting without establishing (破而不立). This is not to say Sanlun asserts nothing — it asserts refuting error and revealing the right, asserts the middle way as the substance of the two truths, asserts the various provisional teachings; what it "does not establish" is an abidable right, a terminal view that can be grasped, fixed as self-natured. Sanlun's discipline falls on the act of "setting up an abidable right": to set up an abidable right is to make a new error.
SAE's discipline differs. SAE holds that one should establish — because refutation cannot but produce a new construct. Every negation settles into a new construct bearing a remainder; this is the normal state of the chisel-construct cycle: chisel, and there is sediment; the sediment is a construct. [4] Since refutation necessarily produces a construct, pretending not to establish is itself dishonest; SAE's discipline falls not on "to establish or not" but on the posture of establishing — only an establishing that acknowledges the remainder is a tenable establishing. To set up a construct while acknowledging that it has a remainder, does not close, and will eventually be chiseled by the next blade — such an establishing is sound; to set up a construct while declaring it closed, complete, remainderless — that is what SAE refutes (in SAE's terms, a construct posing as a law). [4]
So the two see the same structural fact — refutation cannot but produce a construct — but their normative responses to that fact are opposite. Sanlun guards the refutation by "claiming no construct as an abidable right": even the teaching itself is only provisional — Jizang states plainly that the two truths are wholly teaching, having nothing to do with object or principle; the teaching is a tool set up to refute grasping, not a sediment forming a new abidable place. SAE guards the establishing by "claiming the construct, but claiming only a construct that acknowledges its remainder": the construct is real, claim it, but in claiming it acknowledge that it does not close.
This divergence is not a matter of who is right, but the appearance, at the disciplinary layer, of the same seam (Section 6 will set this beside its appearances at the ontological and reflexive layers, to see clearly that it is one seam appearing three times). Here it is marked: Sanlun guards "refuting without establishing an abidable right," SAE guards "establishing while claiming its remainder" — both respond to the same fact, "refutation necessarily produces a construct," in opposite directions.
Incidentally, modern Chinese has the idiom "no breaking without establishing" (不破不立), which assumes refutation is for the sake of establishing — first break down the old, then build the new; breaking serves establishing. This is an emergence-intuition, close in direction to SAE's "refutation necessarily produces a construct, the construct bears a remainder." Sanlun's self-description is precisely "refuting without establishing" — refuting not for the sake of an abidable right; the teaching is established but does not abide. The same word "break": the idiom reads it as "breaking for the sake of establishing," Sanlun reads it as "breaking without abiding." This small dislocation between everyday idiom and the school's self-description is itself a miniature of this paper's central tension: the reality of construction, and the thorough non-grasping of construction, meeting here.
3. The eightfold negation: total negation of self-nature-grasping
The Zhonglun opens with the eightfold negation: "neither arising nor ceasing, neither permanent nor cut off, neither one nor different, neither coming nor going." Then: "able to expound this dependent arising, [the Buddha] well extinguishes conceptual proliferation." (The last pair, in Kumārajīva's rendering, reads "neither coming nor going-out"; "going-out" here means "going," "departing," and this section's prose, following the sense, also writes "neither coming nor going" — same referent as the original.) These eight "no"s are the core this section interfaces with SAE.
The key must be set first, because here errors are easiest. The eightfold negation is not four blades cutting four different targets. It is a total deflection away from the eight extremes — against the single grasping "dharmas really have self-nature," deflecting from eight directions at once. Pingala's commentary makes the structure plain: stated briefly as eight matters, it is a total negation of all dharmas; with "neither arising nor ceasing" as root, the other six "no"s reduce to it — "if one searches deeply into 'neither permanent nor cut off,' it just is 'neither arising nor ceasing'"; "because there is neither arising nor ceasing, the other six matters likewise." [CBETA, T30, no. 1564, Zhonglun, fasc. 1, "Examination of Conditions," Pingala's commentary, from p. 1c12] That is: the structure of the eightfold negation is "neither arising nor ceasing" as root, with permanent/cut-off, one/different, coming/going reducing to that root from different angles; the eight extremes are the surface enumeration of a total deflection, not eight independent target-domains, still less four blades with four functions.
A guardrail must be set here, and it must be written into the body, not left to a footnote: to read the eightfold negation below as the disassembly of a certain grasping is SAE's interface reading, not a restatement of Pingala's or Jizang's historical doctrinal divisions. The traditional commentaries have their own account of what each pair counters; what this section selects is, under the SAE lens, the eightfold negation as "total negation of self-nature-grasping." The two do not conflict, but this must be marked as an interface re-reading.
Eight extremes cutting into one grasping
In the SAE coordinate system, what the eightfold negation totally negates is the grasping that fixes the self as a self-natured end (established above as Madhyamaka's point of application here). The eight extremes deflect the same "self-natured I" from eight angles:
"Permanent" is "I endure" — fixing the self as something that persists unchanging. "Cut off" is "I am annihilated" — fixing the self as something that is utterly cut off. "One" is "I am identical" — fixing the self as something wholly singular, indivisible. "Different" is "I am sundered" — fixing the self as something utterly divided from its constituents. "Coming/going" is "I as a continuous entity" — fixing the self as an entity coming from somewhere, going to somewhere, continuous across time. "Arising/ceasing" is "I arise and cease self-naturedly" — fixing the self as something that really arises and perishes self-naturedly.
The eight extremes are the surface enumeration of a total deflection; structurally, with "neither arising nor ceasing" as root, permanent, cut-off, one, different, coming, going reduce to that root from different angles; what they deflect is the same "I" fixed as self-natured. This is exactly Pingala's structure of "neither arising nor ceasing as root, the other six reducing": "neither arising nor ceasing" deflects the most fundamental grasping, "self-natured arising, self-natured ceasing," and the other six extremes are that root-grasping unfolded along different dimensions. The eightfold negation is a total negation, not eight equal independent angles.
The relation between "the enumeration of eight extremes" and "one root with six reductions" must be made plain here, lest it be read as eight equal angles: the eight extremes are the surface enumeration of a total deflection from the eight extremes; structurally, with "neither arising nor ceasing" as root, permanent, cut-off, one, different, coming, going reduce to that root from different angles. A reader who takes the eightfold negation as eight blades each striking one spot misses its original sense — "total negation of one grasping."
The blade "neither arising nor ceasing"
Among the eight, "neither arising nor ceasing" must be discussed on its own, because it is the root, and because it shows most force at this paper's point of application.
Traditionally, the range of "neither arising nor ceasing" is all dharmas — no dharma arises self-naturedly or ceases self-naturedly. What this paper takes is its high-resolution application at the point of application: deflecting the grasping "fixing the self as self-natured arising, self-natured ceasing." This must be marked as SAE's lens-selection — narrowing a blade's range onto a high-resolution target, to see clearly how it works at this layer, is not a claim that "neither arising nor ceasing" concerns only the self in its original sense.
At this point of application, "neither arising nor ceasing" deflects the grasping "I really arise self-naturedly, and really perish self-naturedly." To deflect it is not to teach belief that "I do not exist" or "I am eternal and unperishing" — those fall into cut-off, into permanence, which the other two blades of the eightfold negation deflect. To deflect "self-natured arising and ceasing" is to loosen that "I" grasped as self-natured: it neither arises self-naturedly nor ceases self-naturedly; it is dependently arisen, without self-nature, non-fixable.
Under the SAE lens, where this deflection has the most loosening force is here: that layer which grasps the self as a self-natured end stakes all its grasping on guarding a "really existent I"; once the underlying grasping "I really arise and cease self-naturedly" is deflected, the necessity of guarding loosens. The subject need no longer stake all its force on guarding this self-natured I, and so can turn toward a higher position — acknowledging the other, too, as an end in itself. Note the wording here: not "the eightfold negation itself forces one toward the other," but "once the grasping of the self-natured I loosens, the subject need no longer stake all its force on guarding the I, and so can turn toward the other." What the eightfold negation does is deflect that grasping; the turn is a possibility opened up after grasping loosens, not a push the eightfold negation directly applies.
(A doctrinal corroboration may be brought in here: the Dazhidu lun defines the supreme-meaning siddhānta as "past all paths of language, the workings of mind extinguished, resting nowhere, indicating no dharmas," and points to the true reality of dharmas with verses such as "neither arising nor ceasing, the dharma like nirvāṇa." [CBETA, T25, no. 1509, Dazhidu lun, fasc. 1, on the "supreme-meaning siddhānta," line-reference to be finalized] Later tradition may set the eightfold negation alongside this true reality and summarize it as "the eightfold negation is just true reality," but those four characters are a summary, not a continuous original sentence in the treatise. "Resting nowhere, indicating no dharmas" shows precisely the apophatic character of this line — it indicates no positive true reality, only deflects every graspable place. This passage also prepares the apophatic use of the term "true reality" discussed later.)
And the other six extremes
Why the six extremes can "reduce to the root, neither arising nor ceasing" — the transmission must be spoken out, or "reduce" is only a slogan. The mechanism is this: the six extremes — permanent/cut-off, one/different, coming/going — each, to hold at all, covertly presupposes an "I that arises self-naturedly and subsists self-naturedly" as substrate: "permanent" is this I persisting unchanging in time, "cut-off" is its utter annihilation, "one"/"different" are its wholeness or sundering in relation to its constituents, "coming"/"going" are its translation as an entity across time. But once "neither arising nor ceasing" pulls out that root-grasping — establishing that this I neither arises self-naturedly nor perishes self-naturedly — then persistence-or-annihilation in time, identity-or-sundering in relation, coming-or-going in translation all, at the same stroke, lose their substrate: with no self-naturedly arising-and-ceasing "I," there is no such I to persist, to be annihilated, to be identical, to come or go. Pull out the root of self-natured arising-and-ceasing, and the graspings along the other three dimensions disassemble accordingly, with no need to refute each separately. This is the mechanics of "neither arising nor ceasing as root, the other six reducing to it": the six extremes are not six independent targets needing separate deflection, but projections of the same root-grasping along different dimensions — move the root, and the shadows scatter.
The other six extremes below, each deflecting one face, are stated briefly under the transmission of this root.
"Neither permanent nor cut off" deflects the two ends, fixing the self as "enduring" or "annihilated." In the dimension of time, it deflects "I am an unchanging persisting entity" (permanent) and "I am an entity that will be utterly cut off" (cut off) — both fix the self as self-natured. Deflected, what remains is dependent continuity: the self neither abides unchanging nor is annihilated without continuation, but is a dependent continuity — changing without losing its continuation. Pingala speaks of this principle of continuity as "if one, then no condition; if different, then no continuation." [CBETA, T30, no. 1564, Zhonglun, fasc. 1, "Examination of Conditions," Pingala's commentary, from p. 1c12]
"Neither one nor different" deflects fixing the self and its constituents as "absolutely identical" or "absolutely sundered." I and the various things that constitute me are neither wholly one (one) nor utterly two (different); deflecting these two ends presses forth the dependent linkage — the self is a structure linked together out of various dependently-arisen things, yet not fixable as a single self-substance.
"Neither coming nor going" deflects fixing the self as a continuous entity "with a place it comes from, a place it goes to" — as if a self-natured I came from somewhere and went somewhere. To deflect it is to loosen that "I" grasped as continuous across time, self-naturedly persisting.
The six extremes each deflect one face, all disassembling with the pulling-out of the root "neither arising nor ceasing"; the eight extremes together are a total deflection of the same "self-natured I." This is the eightfold negation's interface reading at this paper's point of application — one grasping, eight angles, one total negation.
(Note: wherever this section says the eightfold negation "deflects the grasping of the self," it is all under the boundary set above — this is the point of application SAE has selected; the full range of Madhyamaka's eightfold negation is self-nature-grasping in all dharmas, not the self alone. And the traditional doctrinal divisions have their own account of what each pair counters; this section is an interface re-reading and does not restate those divisions.)
4. The four levels of the two truths and the four steps of negation
In the systematization of Madhyamaka in China, Jizang's Dasheng xuanlun is a high point. There the two truths are organized as a layer-by-layer advancing structure: the conventional truth sets up a statement, the ultimate truth negates it; the ultimate truth of the prior layer is demoted to the conventional truth of the next, then negated by a new ultimate truth. In fascicle 1 Jizang unfolds this structure into multiple levels, one strand of which can be clearly read as four steps — and this is what this section interfaces with the chisel-construct cycle.
Two boundaries must first be stated. First, the textual boundary: the Dasheng xuanlun, fascicle 1, divides the meaning of the two truths into ten levels; what this section extracts is one discernible four-step sequence under the "being/non-being" level, neither denying the ten-level organization as a whole nor denying the existence of the three-level formulation in the Erdi yi. To extract one sequence for interface analysis is not to claim that Jizang's text is itself a four-cell table. Second, the boundary of what is interfaced: what this section interfaces is not the full range of Madhyamaka's emptiness (the absence of self-nature in all dharmas), but the step-correspondence between this structure and the four-phase generation of the chisel-construct cycle; the full range of emptiness belongs to Madhyamaka, and this section's lens illuminates only this segment of structure.
Jizang's original four steps are as follows. First level: being as conventional truth, emptiness as ultimate truth — setting up the pair "being" and "emptiness." Second level: being-and-emptiness as conventional truth, neither-being-nor-emptiness as ultimate truth — negating this pair. Third level: "both two and not-two are conventional truth; neither-two-nor-not-two is ultimate truth." Fourth level: "these three kinds of two truths are all teaching; in order to awaken to the not-three, with nothing to rest on, only then is it called principle." (This division into four levels of the two truths appears in Jizang's Dasheng xuanlun, fascicle 1, on "the meaning of the two truths"; the Zhongguanlun shu, end of fascicle 2, also lays out these four levels. [CBETA, T45, no. 1853, Dasheng xuanlun, fasc. 1, line-reference to be finalized])
These four steps correspond, step by step, to a published structure of the chisel-construct cycle. In the cycle's retrospective frame, in the most primordial situation (0D chaos), negation interrogates itself and generates four phases: being, non-being, the negation of (being and non-being), the negation of (neither-being-nor-non-being) — first setting up the pair of affirmation and negation, then negating that pair, then negating "the negation of that pair" without letting it collapse, and finally gathering in as a whole. [4] The correspondence is step-for-step, but at two points one must stop and see clearly, because they are exactly the load-bearing points of this interface analysis.
The first is at the third level. Jizang does not write here a simple repetition of "neither being nor non-being," nor a double negation that would logically collapse back to the start — if the third level were written "neither not-being nor not-emptiness," "neither not-being" would formally fall back to "being," and the whole advance would crumble back to the second level. What Jizang chooses is "neither-two-nor-not-two": what is negated is no longer the predicate at the level of "being" or "emptiness," but the very frame "two / not-two." The focus of negation leaps up one layer. This corresponds exactly to a constraint sedimented at 3DD in the chisel-construct cycle — a double negation does not return to affirmation; between distinct terms it leaves an uneliminable interval, non-coincident and irreversible. [4] Jizang's "neither-two-nor-not-two" is the clearest realization, in the language of argument, of this interval: what it negates is the frame, not a predicate within the frame, hence it does not collapse back; it is the strongest evidence to be found, in a historical text, for this correspondence.
The second is at the fourth level, and the more important. The fourth level differs from the first three: each of the first three sets up an ultimate truth and is itself demoted to a conventional truth to advance; the fourth level says the first three are "all teaching," itself falling on "nothing to rest on." This means the fourth level is not a fifth ultimate truth, not one more negation, but the gathering-in of the whole ladder — the first three sediment, as "teaching," into a construct as a whole, while "words forgotten and thought cut off, nothing to rest on" is the remainder this sedimentation leaves, the remainder that can no longer be gathered up, pointing toward that which cannot be attained by any single statement. A boundary must be marked here, because it is exactly the rehearsal of the seam to be developed in Section 6: on the Madhyamaka side this terminal remainder points toward "nothing to rest on" (empty — both the road and the destination are conventional designation); on the SAE side, the chisel-construct cycle's terminal remainder points toward that limit which is real yet unreachable (the thing-in-itself); the two correspond at the structural position of "a terminal remainder, left after the argument gathers in, pointing toward the non-fixable," yet what they point toward is one empty, one real — they part ontologically. Here only the correspondence at this structural position is marked; the two referents are not prematurely merged — that break is left to Section 6.
Here two kinds of remainder must be distinguished, or it will be misread, and this distinction is exactly the crux of the fourth level. The remainder among the first three levels is propulsive: the truth of each level demoted to conventional is precisely the force compelling the next level's negation to operate — this is the chisel-construct cycle's normal remainder, igniting the next blade. The fourth level's remainder is not of this kind. It does not propel a fifth level (there is no fifth level; to press the question by force yields only "words forgotten and thought cut off" — exactly what the ladder's collapse looks like when "there is no fifth step"). It is the terminal remainder left after the teaching gathers in: it no longer drives this ladder of argument to keep turning. Madhyamaka's ladder of argument has here completed all its work, suspended utterly — words forgotten and thought cut off, nothing to rest on, is prajñā's culmination at the road's end, not a midpoint awaiting continuation. In the SAE atlas of probes, this terminal coordinate of "argument exhausting itself" abuts, back-to-back, the position of Chan's "sudden cut of thought" — the two, each within its own independent and self-sufficient system, arrive by different roads at the same unspeakable boundary. This is the adjacency of two independent termini in the coordinate system, not the handing-over of one party to another to take up.
From this a commonly misunderstood point can be clarified: Jizang's ultimate truth ("the supreme meaning") is not an abidable dwelling. The four characters "nothing to rest on" by themselves deny that it is an arrived-at position. It is the remainder's pointing left after the ladder gathers in, not an occupied height. The supreme meaning is not a dwelling but gathering-in-plus-remainder — and on this point Jizang's own summit accords with the chisel-construct cycle's discipline of "remainder conserved, no construct closes."
It is worth noting that Jizang himself assigns these four levels to different capacities: "the sharp, hearing the first, awaken to the Way, with no need of the latter two; the middling, not awakening at the first, enter the Way only at the second; the dull turn to the third and only then comprehend." This shows that the four levels of the two truths, for Jizang, already carry the sense of "speaking to different people at different depths" — the same structure unfolds to different levels according to the listener. This is of a piece with the "speaking-to-position" discussed later under the three turnings of the Dharma wheel, and the two corroborate each other.
Finally a misreading must be guarded against, because it bears on the honesty of the whole paper. Self-as-an-End is a framework that grants the construct a real standing: every negation settles into a new, remainder-bearing real construct; the ladder is a ladder of constructs ceaselessly emerging. This is the opposite of a Hegelian "synthesis" — synthesis absorbs negation into a higher unity, the remainder eliminated in the synthesis; whereas what the chisel-construct cycle's fourth step leaves is precisely the space of the remainder — gathering-in is not unity. [4] Just for this reason, the fourth step nearly came to be named "synthesis" and was stopped by this distinction: to write the gathering-in as synthesis would be to read it as a higher truth, which is not the sense here. On the Madhyamaka side this distinction has its correspondence: Sanlun's "refuting without establishing" refuses precisely to read the "middle way" as a reconciling higher synthesis — should anyone understand the middle way as a third thing above being and emptiness, a synthesis, Sanlun's discipline would negate that reading. The two sides run in the same direction on "not letting the gathering-in become a higher unity."
(Note: this section's use of "four steps" for interface analysis rearranges Jizang's layer-by-layer two-truths structure into one interfaceable sequence; "step" is the framing of the analysis, not a claim that Jizang's original takes these four steps as its inherent grammar. Likewise, the "elimination" direction — the truth of the lower layer demoted to conventional at the upper — looks opposite to the "stepwise generation" direction of the four phases in the chisel-construct cycle, but the two are unified by the same thing: each step holds only by negating the prior — elimination and generation are two descriptions of the same negating act. And: this section's "interval law" and "construction law" are names of convenience, their content drawn from already-published material; their formal naming awaits a later version of the methodology paper.)
5. The two treasuries and the three turnings of the Dharma wheel
In Jizang's doctrinal classification there are two classifications of teaching; this section interfaces each, and the two axes must be separated from the start — they classify different things, and conflated they clash with each other.
The two treasuries: the direction of content
The first is the two treasuries: the Śrāvaka treasury and the Bodhisattva treasury. The Buddhist-side grammar must first be given, then the interface. The Śrāvaka vehicle's mark is self-deliverance — taking one's own liberation as the task, not the deliverance of others; the Bodhisattva vehicle's mark is benefiting others — taking the universal deliverance of beings, the common approach to awakening with all beings, as practice. This is the traditional division of the greater and lesser vehicles by the teachings expounded and the direction of the aspiration.
In the SAE interface reading, these two present as two directions of content: the Śrāvaka treasury presents as a grammar of liberation that "disassembles the self inward" — placing the effort on loosening one's own grasping; the Bodhisattva treasury presents as a grammar of acknowledgment that "opens toward the other" — placing the effort on acknowledging the other, approaching together with the other. This must be marked as an interface re-reading: to read the Śrāvaka vehicle's "not delivering others" as "disassembling the self inward" is SAE's restatement in terms of structural direction, not the original sense of the two treasuries; the two treasuries are originally divided by aspiration and teaching, and this section takes their structural direction. (Per the series' discipline, this section makes no judgment of high or low between the two treasuries, and does not use the term "lesser vehicle," using "Śrāvaka vehicle.")
The three turnings of the Dharma wheel: fitting to position
The second is the three turnings of the Dharma wheel: the root turning, the branch turning, and the gathering-the-branch-back-to-root turning. This set classifies not the direction of content but the fitting of teaching to different subjects — the same content of awakening must be spoken, to subjects at different positions, at different depths and in different ways.
A boundary must be set here, the most important in this section: the three turnings are Jizang's division of "how teaching varies with capacity," and what this section interfaces is this structure of fitting of "teaching according to capacity," not a reading of the three turnings as a low-to-high sequence of positions. Although the text below will correspond the three turnings' three moments to subjects' different positions, that is to say "what kind of teaching fits a subject at what position," not to say "Jizang laid out a ladder of subjects ascending level by level." This boundary must be held, or Jizang's teaching-according-to-capacity is misread as a developmental sequence.
Under this boundary, the interface of the three turnings is as follows.
The root turning is the Buddha's first and highest direct statement — the realm shown in the Huayan, of unobstructed interpenetration without end, the full presentation of the Buddha's own inner realization. In the SAE coordinate system, it corresponds to the vision of the layer of "acknowledging the other, too, as an end" (15DD), and points apophatically toward that non-objectifiable limit (which this paper does not develop, leaving it to a dedicated study). [4] This last point must be specially noted: what the root turning shows is not a set of "content" that can be sent and received like a signal — that highest realm, by its nature, can appear only in the present negotiation among subjects who are ends to one another, and cannot be unilaterally received as a piece of information.
The branch turning is the teaching the Buddha then sets up to draw beings in — the provision of the three vehicles, with a fruit to seek, a station to realize, a sequence to follow. In the SAE coordinate system, it corresponds to the grammar of the layer at which the self grasps itself as an end (14DD): seeking a fruit, seeking a vehicle, with a goal to reach.
The gathering-the-branch-back-to-root turning gathers the drawn-in subjects back to the root — uniting the three into one, leading all beings into the Buddha's wisdom alike. In the SAE coordinate system, it corresponds to the layer of "acknowledging the other, too, as an end" (15DD): the subject loosens the grasping at its own fruit and turns instead to the common approach with the other, with beings, as its home.
The difference between the root and the gathering-back must be made clear, because both fall near the layer of "acknowledging the other, too, as an end" and are easily confused. The root turning is the first full direct statement — showing the highest realm from the start, which is why most subjects cannot receive it. The gathering-back turning is a retrieval — gathering those subjects who, drawn in first through the branch, can already loosen the grasping at their own fruit, back to that highest realm. One is the lofty first showing, the other the retrieval after drawing-in; both face the same realm, but one stands at the sequence's beginning, the other at its end — their positions along the path differ.
"As if deaf and mute": an account of a fitting-mismatch
At the Huayan assembly, the two vehicles are "as if deaf and mute" — neither seeing nor hearing the highest realm the Buddha shows. This image is often used to illustrate the loftiness of the root turning. In the SAE interface reading, it is a phenomenon of fitting-mismatch, which can be accounted for thus — but first this must be marked: to read the two vehicles here as subjects at the layer where the self grasps itself as an end is SAE's interface reading, not a claim that the two vehicles in Buddhism are identical to some level of mind.
Under this reading, the two vehicles are subjects whose task is the self-sought realization of fruit — their mind's mode of operation is organized around "what fruit I am to realize, what station to ascend." The realm shown in the Huayan is, by nature, the present negotiation among subjects who are ends to one another; and a mode of operation whose task is the self-sought fruit by itself excludes "being an end for the other" from its operation — it is not that it failed to receive a high-frequency signal, but that its mode of operation has no place for the negotiation of "ends to one another." So "as if deaf and mute" is not a malfunction of the receiver but a non-correspondence of the mode of operation: a mind organized around its own fruit, meeting a realm whose nature is the negotiation of ends to one another, does not correspond, and so neither sees nor hears.
Just because of this non-correspondence, the Buddha withdraws to the grammar a subject whose task is its own fruit can correspond with — the branch turning, providing three vehicles, fruit-stations, a sequence. This is not "lowering the frequency" of that highest realm, but providing a teaching within which that subject's mode of operation can run. The relation here must be stated precisely, not read as a story of growth: when a subject's operation is locked onto the configuration of "unidirectional self-fruit-seeking," the protocol of "being an end for the other" is structurally excluded by that configuration; only when that configuration itself loosens and unloads that absolute grasping does the grammar of "gathering-the-branch-back-to-root" come to correspond with it — this is the un-sealing of a configuration, not the segment-by-segment accumulation of mileage. The gathering-back "corresponds" not because the subject has walked a stretch of road and arrived at some station, but because its configuration has loosened from "unidirectional fruit-seeking" into "able to admit the other"; the configuration changes, correspondence is achieved, with no question of earlier or later, near or far.
In this account, the judgment "the two vehicles are at the layer of their own fruit" is given independently by the subject's mode of operation (organized around its own fruit), not inferred backward from "as if deaf and mute"; "as if deaf and mute" is a corroboration of this independent judgment, not its ground. Thus the account is not one of using an unproven correspondence to explain a phenomenon and then using the phenomenon to confirm that correspondence.
It must close on the boundary set at this section's opening: the above correspondence of the three turnings' moments to subjects' different positions says throughout "what depth of teaching fits a subject of what mode of operation," not "Jizang laid out a sequence of subjects ascending level by level." The three turnings are a structure of teaching fitted to capacity; their directionality (an earlier-and-later among root, branch, gathering-back) is a direction in the provision of teaching, not a developmental ladder of subjects. To read it as the latter is to cross this boundary.
The two axes must not be conflated
Finally, back to the opening: the two treasuries and the three turnings classify different things. The two treasuries classify by the direction of content (disassembling inward / opening toward the other); the three turnings classify by the fitting of teaching to subjects (what depth fits what mode of operation). The two axes cross without coinciding: a Śrāvaka-vehicle teaching (toward self-deliverance, on the two-treasuries axis) can also be a branch turning (a drawing-in provision, on the three-turnings axis); the two fall on different axes and do not conflict. With the two axes explicitly separated, "the Śrāvaka treasury = disassembling inward" and "the two vehicles as if deaf and mute at the Huayan" are not read as a contradiction — the former speaks of this teaching's direction of content, the latter of this mode of operation's fitting-mismatch with a certain teaching; they belong to two axes.
(Also: this section's three turnings of the Dharma wheel and the "three revolvings of the Dharma wheel" discussed in the series' first paper are two different three-part divisions — the former Jizang's classification of "teaching varying with capacity," the latter another three-part division concerning the establishment of subject-position. The two must be explicitly distinguished and not conflated. The textual source of the three turnings is Jizang's Fahua youyi [CBETA, T34, no. 1722, line-reference to be finalized]; see also the Fahua yishu [CBETA, T34, no. 1721] on "concealing the real / raising the provisional / gathering the branch back to root.")
6. Where there is no interface
The most important section of an interface analysis is to state clearly where the two frameworks cannot be translated into one another. This is not an appendix to the divergences but the core of the analysis; to state it precisely matters more than to state the correspondences in full.
The divergence is not at "without self-nature." Madhyamaka's negation of self-nature — self-nature meaning independent of another, not arising from conditions, without change — Self-as-an-End accepts wholesale; its claim that "no construct can close upon itself, every one leaves a remainder" meets Madhyamaka's "all dharmas are without self-nature" at the conclusion. The two approach differently: Madhyamaka derives the absence of self-nature from dependent arising, Self-as-an-End derives non-closing from occlusion (every construct occludes, hence the remainder is non-empty); the same conclusion, different engines. The real divergence is one layer deeper: at the second truth, Self-as-an-End holds that the construct is a sediment carrying real constraint — though without self-nature, it is not zero, not a purely conventional designation; it has real effect and remainder. Madhyamaka would ask, from the side of emptiness: this "real constraint" — does it still smuggle in a faint thread of self-nature-grasping? And Self-as-an-End would answer, from the side of operation: that which executes the negation is itself a really operating chisel-construct process — a system that would build continuously and acknowledge that every building leaves a remainder cannot isomorphically translate this "real constraint" into a purely conventional designation, because what states this position and carries through this negation is precisely a real construct. But the proportion of this answer must be stated precisely at once: this is not to say Madhyamaka "cannot do it" or "lacks something" — Madhyamaka does not take continuous building as its aim at all; what it seeks is to negate self-nature to the end and bring about non-attainment, and within its own aim, reducing everything to a self-natureless conventional designation is thorough and self-consistent. The two are not one complete and one deficient, but two aims each complete and untranslatable here: Madhyamaka from the side of emptiness, Self-as-an-End from the side of operation, each with its own complete discipline, sees the other as having a little too much or a little too little. In this exchange, neither can translate the other's words into its own language without distortion. This is the deepest seam of non-interface this paper identifies.
This seam does not appear in only one place. It appears at three layers at once, isomorphic across the three, each corroborating the others.
First, at the ontological layer, the carrier is the famous verse of the Zhonglun: "Dharmas arising from conditions, I declare to be emptiness; this is also conventional designation, and is also the meaning of the middle way." This must first be made clear: in this verse, the four — dependent arising, emptiness, conventional designation, the middle way — are four names for the same matter, four facets of one thing, not a temporal sequence of first arising, then emptiness, then designation, finally the middle way. Self-as-an-End, for the convenience of interface analysis, rearranges these four names into a four-beat reading to set against the structure of the chisel-construct cycle — but this is the framing of the analysis, not the grammar of the original verse. After the rearrangement, the divergence falls at the last: Madhyamaka uses "conventional designation" as a name without self-nature — it points to a matter without lending it the weight of self-nature; the name points to the matter, and when the matter passes the name sets up no self-substance (this is not to say worldly operation has no efficacy: Madhyamaka's two truths still retain, at the worldly layer, the sayable, the doable, causation and instruction; conventional designation is only without self-nature, not without effect). Self-as-an-End reads "construct" as a sediment that, though without self-nature, has real constraining force — though without self-nature, it really constrains what follows. The same dependent arising: Madhyamaka reads out a designation without the weight of self-nature, Self-as-an-End reads out a reality with constraining force — this is the two parting on the same verse.
Second, at the disciplinary layer. Self-as-an-End has a discipline of its own: only an establishing that acknowledges the remainder is a tenable establishing (the "good" or "tenable" here refers only to internal operational soundness in SAE — whether an establishing has acknowledged its own remainder is SAE's own procedural standard, not a moral evaluation, and not some positive "right" Madhyamaka would acknowledge) — because refutation cannot but produce a new construct, and rather than pretend not to establish, one had better claim this remainder-bearing construct. But this discipline cannot hold itself up before Madhyamaka's "tetralemma." "A tenable establishing" itself presupposes a standard for judging "establishing" (whether the remainder is acknowledged), and that standard is again a position, a construct; Madhyamaka would press whether this "tenable" is self-arising, dependent, joint, or causeless — it is exactly the kind of "construct meeting some mark" that Madhyamaka would refute. Here the two cannot be translated, and Self-as-an-End does not retreat here, nor need it; but the ground of its non-retreat must be stated precisely. Its ground is not "I have paid some price, and so have the right to keep this establishing" — that is a way of disguising a mechanical fact as a claim of ownership, and must be avoided. Its ground is: that the construct does not collapse under Madhyamaka's reductio is because it really operates, really leaves a remainder, and not because anyone declared anything. Self-as-an-End claims this construct, and what it claims is something in process, not a right. As for Madhyamaka — seen from Self-as-an-End's operational side, it provides no ground on which to build continuously; but this is not its defect, rather the price of its discipline of "refuting without establishing," and exactly the strength of that discipline. What it seeks is not building at all, and to measure it by "has it a ground" is to use the wrong yardstick.
A further boundary must be added, to prevent a misreading of the temperature: the above talk of "price" and "ground" describes Madhyamaka from Self-as-an-End's operational side; it does not judge Madhyamaka as wrong or deficient. Madhyamaka, refuting without establishing, is thorough and self-consistent within its own aim; Self-as-an-End, acknowledging the remainder-bearing construct, is thorough and self-consistent within its own discipline. The two are not one-right-one-wrong but two walls of the same seam.
Third, at the reflexive layer — this is left to the final section, where Madhyamaka reflects back on Self-as-an-End, to be developed. It asks the form in which the same seam finally turns back upon Self-as-an-End itself: when Madhyamaka carries negation through to the end, does it point at the final footing on which Self-as-an-End argues — that "negativity" adopted as an axiom, that most fundamental negation which is no longer even a negation of itself — and ask, "is this not also one more grasped position, one more self-nature?" This question strikes exactly at Self-as-an-End's mode of self-exemption: under Madhyamaka's criterion, this risk would show thus — if that final negation is made into a point "immune to negation," and "immunity to negation" is, in Madhyamaka's eyes, one of the marks for judging self-nature, then on that yardstick it would appear to have failed at "emptying even emptiness." This is an appearance under Madhyamaka's measure, not necessarily Self-as-an-End's actual condition; the final section will develop it and meet it head-on — here only the seam's position is marked.
The three layers are three appearances of the same seam: the ontological layer is "designation without the weight of self-nature" against "construct with real constraint," the disciplinary layer is "refuting without establishing" against "claiming a remainder-bearing establishing," the reflexive layer is Madhyamaka's interrogation of Self-as-an-End's final position. Laid one on another, this seam of non-interface is not something a soft phrase can smooth over — it has structure, three independent supports. The task of an interface analysis here is to illuminate this seam clearly, to mark its two walls, not to throw across a bridge pretending the two sides are connected.
7. The residual-positivity check
Every paper in this series runs a "residual-positivity check": a check of whether, in the tradition being interfaced, there is something that on the surface is apophatic, negating, but at root quietly sets up a positive, abidable terminus — something SAE judges "non-fixable" yet which has still been fixed. This check is part of the honesty of an interface analysis: not to pick at the other's errors, but to mark the places that easily slide toward positivity, and see whether they in fact slid.
A difference from the previous paper must first be noted. The previous paper (Yogācāra) had a check-item, "drawing its own fruit" — how a seed produces a fruit, where a positive structure SAE judged untranslatable was hidden. This paper sets up no such item: "drawing its own fruit" is a concept in the Yogācāra seed doctrine; Sanlun has no such architecture, and this paper does not force a correspondence to align with the previous paper. This paper's residual-positivity check falls on two of Madhyamaka's own terms: quiescence, and true reality.
Quiescence: a boundary discovery
Madhyamaka speaks of "well extinguishing conceptual proliferation" — the extinction of proliferation. Here the check is: does this "extinction" quietly set up a positive terminus? Does it say that at some point everything utterly stops, returning to a quiescent final state?
On checking, this place is not a smuggled positivity but a boundary discovery — it marks the boundary between SAE and Madhyamaka on a fundamental question, and that boundary is itself clean and markable.
The key is to distinguish what "conceptual proliferation" is. Proliferation (prapañca) does not refer broadly to all conceptual activity; it refers specifically to the proliferation arising from dual grasping — being and non-being, arising and ceasing, one and different, coming and going, set up in pairs, grasped in pairs, proliferating layer by layer. This proliferation is dyadic: set up one side, and there is its opposite side; grasp one end, and the other is drawn out. What Madhyamaka means by "extinguishing proliferation" is precisely the extinction of this dyadic proliferation — no longer proliferating concepts in the manner of "setting up one side, grasping one end."
SAE's chisel-construct cycle is not dyadic. Its operation is: chisel a construct, the construct leaves a remainder, the remainder drives the next chiseling — this is an asymmetric succession, not pair-by-pair opposition. [4] What drives it is not the tension of "one side against the other" but the asymmetry between construct and remainder (the remainder is what the construct failed to gather, and the remainder drives the next round, not some opposite of the construct). [4]
So what the two would "stop" are two different machines. What Madhyamaka would stop is dyadic proliferation — this machine can, and should, be stilled. What SAE says does not stop is that asymmetric chisel-construct succession — so long as such a mind operates, the negation will not halt; the remainder is conserved. [4] The machine Madhyamaka stops (dyadic proliferation) and the machine SAE does not stop (asymmetric succession) are not the same machine; Madhyamaka's stilling of dyadic proliferation does not touch the asymmetric chisel-construct succession in the least. So there is no head-on collision here — each speaks of its own machine, one to be stopped, one not.
This boundary is held precisely by Madhyamaka's own text. The Zhonglun's "Examination of Nirvāṇa" defines nirvāṇa: "nothing attained, nowhere reached, neither cut off nor permanent, neither arising nor ceasing — this is called nirvāṇa." [CBETA, T30, no. 1564, Zhonglun, fasc. 4, "Examination of Nirvāṇa," line-reference to be finalized] "Nowhere reached" — no arrival at some other state; "neither cut off" — not annihilation. The difference between nirvāṇa and saṃsāra lies not in arriving at a quiescent final state, but in "receiving conditions" versus "not receiving conditions" — no longer operating in the manner of dual-grasping conditions. [CBETA, T30, no. 1564, Zhonglun, fasc. 4, "Examination of Nirvāṇa," line-reference to be finalized] This accords exactly with "what is extinguished is dyadic proliferation, not a halting of the chisel-construct succession": nirvāṇa is not a machine utterly shut down, but a ceasing to operate in the manner of dual grasping.
So quiescence, here, is not a smuggled positivity but a boundary discovery: it marks the boundary between "the dyadic proliferation that should be stilled" and "the asymmetric succession that should not be stilled" — Madhyamaka stills the former at the doctrinal layer, Self-as-an-End retains the latter at the mechanical layer; each is thorough within its own system, and the machine they refer to is not the same. A temperature boundary must be held: the above distinction of "two machines" is an SAE-side mechanical analysis; Madhyamaka itself does not speak of proliferation in terms of "symmetric/asymmetric machines." To say that what Madhyamaka extinguishes is dyadic proliferation is SAE's interface description, not a stuffing of SAE's mechanical reading into Madhyamaka's mouth.
True reality: the objectification risk of a noun
The second place is "true reality." "True reality is without mark" — true reality is markless; this is itself a thorough apophasis: true reality is no graspable mark. At root, the claim here is Rho-compliant (in SAE's terms, it sets up no abidable positive terminus). Sengzhao guards it with a double removal: "neither being nor truly being, neither non-being nor truly non-being." [CBETA, T45, no. 1858, Sengzhao, Zhaolun, "On the Emptiness of the Unreal," line-reference to be finalized] The double removal falls to neither side, sets up no terminus, clean.
But the risk lies not in the claim but in the word "true reality" itself. The Chinese term carries a character meaning "real"; "true reality," as a noun, is easily objectified — read as "the real way things are behind dharmas," as if there were a markless, real "true reality" sitting there, an ultimate substrate prajñā is to accord with, to merge with in dark accord. This objectified reading is precisely the positivity-risk SAE marks: it congeals a word that should be apophatic into an abidable real place; more covertly, it implies, epistemically, a "prajñā in dark accord with true reality" — an accord of zero remainder-friction, as if the subject's cognition could correspond seam-tight with that true reality, with no occlusion at all. SAE's discipline is: any cognitive response is itself a construct, with its own occlusion and remainder; there is no zero-friction accord that gathers the object in wholly without residue. [4] Were "prajñā in dark accord with true reality" read as such a zero-friction accord, it would violate "every construct occludes."
This risk, too, is guarded by Madhyamaka's own text. The Dazhidu lun defines the supreme-meaning siddhānta as "past all paths of language, the workings of mind extinguished, resting nowhere, indicating no dharmas," and points to the true reality of dharmas with verses such as "neither arising nor ceasing, the dharma like nirvāṇa"; later tradition may summarize this as "the eightfold negation is just true reality," but this paper does not take those four characters as a continuous original sentence of the Dazhidu lun. [CBETA, T25, no. 1509, Dazhidu lun, fasc. 1, line-reference to be finalized] What matters: true reality is here defined as "resting nowhere, indicating no dharmas" — it rests on no place, indicates no dharma; it is precisely an apophatic mark, not a positive substance. So wherever this paper uses the term "true reality," it takes its apophatic use: true reality is the suchness of the absence of self-nature in all dharmas, the place where the workings of mind and the paths of speech are cut off, not a real substance behind dharmas; and SAE's non-acceptance of a "prajñā in dark accord with true reality" zero-friction cognition must be expressly marked — cognition too is a construct, with its own occlusion.
The check's conclusion
Two places checked. Quiescence is a boundary discovery — it marks the boundary of two machines, not a smuggled positivity. True reality's claim-layer is Rho-compliant; its noun-layer has an objectification risk, guarded by a double guardrail (apophatic use + against zero-friction accord).
The significance of this check must be stated, and the temperature held. Madhyamaka is, among the traditions this series interfaces, the hardest one in which to find "a fixed positivity" — its whole work is to negate every fixable place. If this paper's check finally finds no genuine smuggled positivity in Madhyamaka, this is not a failure of the check but a meaningful result: it supports the placement of Madhyamaka as "the probe of that non-fixable law." But the point must be stated precisely — finding no positivity is a strong support for this placement, not its independent proof. The task of the check is to mark clearly the places that easily slide toward positivity and see whether they slid, not to determine in advance that they must or must not.
8. The three off-anchorings of emptiness: Sengzhao's critique of the three houses
Sengzhao's "On the Emptiness of the Unreal" critiques three houses of the time — the Original Non-being house, the Mind's Non-being house, and the Matter-as-such house — pointing out that each, somewhere, anchored "emptiness" awry. In the SAE coordinate system, these three critiques correspond exactly to three typical slides of misplaced negation. This section marks that correspondence as a firewall — it shows that the early Chinese receivers of Madhyamaka were already systematically resisting the various deviations of reifying or half-completing "emptiness." (This section's title uses "off-anchoring" rather than "wrong-anchoring": the "off" is a deviation relative to the "unreal-emptiness" standard Sengzhao himself sets; the "off" and "wrong" below are all read in this sense, and are all Sengzhao's judgment, not SAE's invention — see the next paragraph.)
One thing must first be framed, or the temperature will be misread. That Original Non-being, Mind's Non-being, and Matter-as-such are judged "wrong" is Sengzhao's own judgment — Sengzhao is the one critiquing these three houses. What SAE does here is not itself to judge these three as wrong, but to follow Sengzhao's existing judgment and correspond the places he judged wrong to some structural position in the SAE coordinate system. The "wrong" in "off-anchoring" is Sengzhao's judgment, not SAE's invention; wherever the text below says some house is "wrong" somewhere, it is read in this sense.
The Original Non-being house Sengzhao critiques as "inclining in feeling toward non-being," weighting "non-being" too heavily, as if before and above all transformations there were a primordial "non-being" as substance. In the SAE coordinate system, this corresponds to anchoring the negation in the wrong place — regressing the negation into a primordial, substantial nothingness, as if "emptiness" were some substance-of-non-being prior to everything. [4] This reifies "emptiness" into a substance at the origin, whereas SAE's negation is not a substance of non-being but a continuously operating operation.
The Mind's Non-being house Sengzhao critiques as "no-mind toward the myriad things, yet the myriad things are never non-being" — emptying only at the subject's mind (not arousing grasping), but not emptying at things (the myriad things still really exist). In the SAE coordinate system, this corresponds to a half-completed suspension: cutting off grasping only locally (one's own mind), without carrying it through to the linkage in which mind and things mutually constitute one another — retreating into an isolated observer, plucking oneself out of that mutually constituting linkage while letting the other end of the linkage (things) stay really existent. [4] This is a suspension done only halfway, cutting off the feedback, retreating into isolation.
The Matter-as-such house Sengzhao critiques as "saying matter is not self-matter, yet not grasping matter's non-matter" — knowing "matter is not self-existent" (matter forms dependent on conditions), yet not carrying this negation through to the end, still retaining somewhere some reality of "matter." In the SAE coordinate system, this corresponds to an incomplete negation: the negation is done, but not chiseled to the bottom, holding back at the layer that carries that matter, not also stripping away the grasped carrying-surface. [4] This is chiseling not thoroughly, leaving an un-negated bottom.
Three houses, three wrongs, exactly three slides of misused negation: Original Non-being regresses the negation into a substantial nothingness (anchoring it wrong, as a substance of non-being), Mind's Non-being does the suspension only halfway (cutting off feedback, retreating into isolation), Matter-as-such does the negation incompletely (leaving an un-chiseled bottom). Sengzhao refutes these three with "unreal-emptiness" — dharmas being unreal, hence empty: unreal says dharmas are without self-nature (hence not falling into Original Non-being's substance-of-non-being, nor Matter-as-such's leftover bottom); empty says this absence of self-nature pervades both mind and things (hence not falling into Mind's Non-being's halfway). In the SAE coordinate system, these three refutations hold exactly three lines: the negation does not regress into a substantial nothingness, the suspension must carry through to the end, the chisel must chisel thoroughly.
The significance of this correspondence is a firewall: it shows that reading "emptiness" as that non-fixable law — rather than as a substantial nothingness, a half-completed suspension, a negation with a leftover bottom — was already being systematically guarded by the early Chinese receivers of Madhyamaka. The boundary must be restated: Sengzhao is not an internal criterion of the Sanlun school; he is a figure in Kumārajīva's translation circle and the early Chinese Madhyamaka milieu; this section cites him as a prehistory-interface to how Chinese emptiness-discourse resisted "the reification of emptiness," not as taking his judgment for an internal standard of Jizang's system. And what this section corresponds is how the "wrong places" of three houses Sengzhao already judged wrong fall onto the SAE structure, not SAE itself judging some house wrong (per the framing at this section's opening).
(Linkage with the previous section: this section's guarding of "true reality not reified" and Section 7's guarding of "true reality not objectified" are two faces of the same guardrail — Sengzhao is precisely one of the load-bearers of the term "true reality," so the apophatic boundary set for him here and the apophatic boundary set for "true reality" in Section 7 are to be read together.)
9. Reflexivity: Madhyamaka reflecting back on Self-as-an-End
An interface analysis that lets only SAE read Madhyamaka is incomplete. This final section lets Madhyamaka reflect back on SAE — especially upon SAE's most fundamental footing, asking a question SAE must meet head-on.
This section takes up the third face — the reflexive face — of the central untranslatable seam marked in Section 6. It was said there that this seam appears at the ontological layer (designation without weight / construct with constraint) and the disciplinary layer (refuting without establishing / claiming a remainder-bearing establishing); now it is the form in which it turns back upon SAE itself.
Two modes of self-exemption
The question surfaces thus. SAE's final footing in argument is that "negativity" adopted as an axiom — that most fundamental negation which is no longer even a negation of itself. [4] Madhyamaka would point at it and ask: is this not also one more grasped position, one more fixed self-nature? You, SAE, have negated the self-nature of all constructs; then is this final negation, on which you negate, itself a construct, a self-nature?
What makes this question sharp is that it strikes at the difference between the two frameworks' ways of handling "self-exemption" — how each keeps its own final footing from self-dissolving.
Nāgārjuna's way is subtractive. In the Vigrahavyāvartanī, facing the challenge "is your doctrine of emptiness itself a doctrine with self-nature," Nāgārjuna does not simply say the four words "I have no thesis," but says "if I had a thesis, I would then have a fault; because my thesis is no-thing, thus I incur no fault," glossed as "I have no thesis-mark — how can you fault me?" — I have no thesis that can be pointed at, that can be fixed; so your challenge "every thesis needs self-justification" cannot land on me, because I set up nothing. [CBETA, T32, no. 1631, Nāgārjuna, Vigrahavyāvartanī, line-reference to be finalized] The subtractive exemption relies on "emptying even emptiness" — even the statement "emptiness" is not set up as something with self-nature, so there is no target to attack.
SAE's way, at first glance, is performative: would you negate that final negation? The very act of your negating it is that negativity in operation — the more you try to negate it, the more you demonstrate it. This mode of exemption is forceful, but it has a danger: it makes that final negation a point immune to negation — every attempt to negate it conversely vindicates it. And "immunity to negation" is exactly one of Madhyamaka's marks for judging "self-nature": something independent of another, unbreakable, vindicated by the very negation of it, is, under Madhyamaka's criterion, taken as a self-nature. So there is an irony here: if SAE exempts itself purely performatively, that final footing on which it negates all self-nature would, under Madhyamaka's criterion, appear most of all like a self-nature — on that yardstick, it has failed precisely at "emptying even emptiness" as Madhyamaka demands. It must be stressed that this is an appearance under Madhyamaka's measure, the sharpness of Madhyamaka's question, not SAE's having already conceded that it has a self-nature; what follows is exactly how SAE, in its own language, responds to this yardstick.
How SAE meets it
SAE can meet this question, but the way it meets it cannot be carrying the performative through to the end (that would only fix the final negation more firmly). To meet it, SAE must acknowledge that it too has a subtractive face.
Among SAE's resources, what truly meets this question is two things. First, that final negation, by its nature, is not even a negation of itself — it is not an object that can be affirmed or negated; it is prior to that opposition of affirmation/negation. [4] This, structurally, accords with Madhyamaka's "emptying even emptiness": that final negation is not a graspable thing, just as emptiness is not a graspable thing. Second, SAE acknowledges of itself: this paper is a construct, this paper has already said too much. [4] SAE does not take its own exposition as a complete, remainderless ultimate statement — it acknowledges that its own exposition is also a construct, also has a remainder, also will be chiseled by the next blade. This acknowledgment is precisely SAE's version of subtractive self-modesty: it does not fix its own final footing as an unbreakable, complete point of self-nature.
So SAE is not purely performative. It has both a performative face (the act of negating that negation demonstrates that negation) and a subtractive face (that final negation is not even a negation of itself, and this paper acknowledges itself a construct). What meets Madhyamaka's question is the latter face: precisely because SAE acknowledges that its own final footing is not a graspable, complete point of self-nature, precisely because it acknowledges that this paper too is a construct with a remainder, it has not fixed that final negation into a self-nature immune to negation. This echoes the disciplinary layer of Section 6 — SAE claims its own construct, and what it claims is something in operation, not an unshakable ownership; likewise, SAE holds its own final footing, and what it holds is not an unbreakable point of self-nature but a footing that acknowledges itself a construct, acknowledges itself to have a remainder.
By here the three faces of the central untranslatable seam have all appeared: the ontological layer is "designation without the weight of self-nature" against "construct with real constraint," the disciplinary layer is "refuting without establishing" against "claiming a remainder-bearing establishing," the reflexive layer is Madhyamaka's interrogation of SAE's final position and SAE's head-on response with its subtractive face. The three faces, isomorphic, are three appearances of the same seam. The task of an interface analysis here is not to fill in this seam pretending the two sides are connected, but to illuminate all three of its appearances — and, on this reflexive face, to let SAE meet that question head-on, responding in its own language (neither retreating — it still claims its construct and footing; nor fixing its footing into a self-nature Madhyamaka would condemn), rather than turning around to absorb Madhyamaka as a doubt contained within SAE.
Madhyamaka guards its non-establishing by "emptying even emptiness," SAE guards its establishing-without-fixing by "acknowledging itself a construct" — two ways of guarding, yet what they guard is the same posture: the refusal to let negation have an abidable terminus. Few philosophies, arriving at the end of negation, do not stop there, do not set the final insight up as an abidable truth; Madhyamaka insists on emptying even "emptiness," refusing to let that by which all is negated be fixed as an abidable self-nature. This step is extremely hard to hold, and Madhyamaka held it. SAE, on the other side, guards the same posture by "no construct closes, the remainder cannot be eliminated" — no construct can seal itself off as a terminus, no negation fails to leave a remainder driving the next. This "same" must be stated precisely, because the very parting this paper guards throughout hangs on it: what the two share is that operational posture — both refuse to fix the process as an abidable ultimate truth; and what the two refuse to fix is, ontologically, exactly opposite — SAE's end is a limit real yet unreachable (the road has no end, yet the direction is real), Madhyamaka's end is an emptiness that sets up not even an "edge" (both the road and the destination are conventional designation). Isomorphic in posture, parted in referent. So this is not the two meeting at some shared terminus — their termini are ontologically one real, one empty, untranslatable; what they meet at is only the single posture of "refusing to fix a terminus." Madhyamaka states this posture as "the emptiness of emptiness, non-attainment," SAE states it as "the remainder conserved, no construct closes": the same gesture of refusing to abide, reaching toward two incommensurable directions. This seam — open at the referent, yet isomorphic in posture — is exactly the seam this interface analysis has skirted throughout, never, and never daring to, fill in; and precisely because the two guard so thoroughly on the two walls of this seam, this whole comparison is worthy of its object.
10. Conclusion
What this paper has done is compare Madhyamaka / the Sanlun school with Self-as-an-End in structure.
On comparison, the correspondences are deep. Madhyamaka's negation of self-nature meets SAE's thesis "no construct closes" at the conclusion; Madhyamaka's "negation" is isomorphic with SAE's "chisel" in operation; Madhyamaka's "non-attainment" answers SAE's non-fixable limit at the terminal signature. Jizang's layer-by-layer advancing structure of the four levels of the two truths can be matched step by step with SAE's steps of negation; the eightfold negation as a total negation of self-nature-grasping, and the three turnings as a fitting of teaching to capacity, both find their corresponding positions in the SAE coordinate system.
But on comparison, the partings are real too, and these partings are not flaws in the correspondence but the most valuable product of this comparison. The deepest is at the second truth: Madhyamaka reads the dependently-arisen dharma as a designation without weight, SAE reads the construct as a sediment with real constraining force — the same dependent arising, one reading out a designation without weight, one a reality with constraint. This seam appears at the ontological, disciplinary, and reflexive layers at once, isomorphic across the three, marking the line at which the two frameworks cannot be translated into one another.
This comparison adds a third face to the series' coordinate system. In the first two papers, Yogācāra illuminated the "construct" — how the mind builds finely; Chan illuminated the "chisel" — the negating act that breaks the abidable construct. In this paper, Madhyamaka illuminates the "law" — that no construct and no chiseling can be fixed as self-natured. The nature of this third face must be restated: it is not a higher position but a constraint that holds across all positions. What Madhyamaka illuminates at its point of application (the layer at which the self grasps itself as an end) is this non-fixable law itself.
A proportion this paper has held throughout must be restated once more in the conclusion: to read Madhyamaka as "the probe of that non-fixable law" is not to read Madhyamaka as "an unfinished SAE." Madhyamaka is not an SAE that lacks some sequence, missing some layer; it is a framework with a different aim from SAE, complete in itself — what it seeks is to negate self-nature to the end and bring about non-attainment, not to build a tower of layers. This paper meets it in structure and parts from it at the second truth; at the meeting it marks the correspondence, at the parting it marks the boundary. This is the task of an interface analysis: neither pretending the two frameworks are the same thing, nor pretending there is no comparable structure between them.
The series will continue. The remaining Buddhist traditions — each, in some problem-domain, having ground a mirror worth setting against SAE — will be interfaced in turn. The task of each interface is the same: not because some tradition "is really expounding SAE," but because every mature system, at the point where it presses hardest, illuminates some structures worth comparing. What this mirror of Madhyamaka illuminates is that law which runs through all positions, suffering no construct and no chiseling to fix itself.
References
I. Self-as-an-End works (Zenodo)
Every SAE-side structural thesis cites SAE's own published texts, marked [1]–[4] etc.; the DOI given is the concept DOI.
[1] Han Qin (秦汉). 〔Via Negativa: A Methodology of Negation〕. Zenodo. Concept DOI: 10.5281/zenodo.19544619.
[2] Han Qin (秦汉). 〔Via Rho: The Conservation of the Remainder〕. Zenodo. Concept DOI: 10.5281/zenodo.19657439.
[3] Han Qin (秦汉). 〔The Four Phases of 0DD and the Quadripartite Form〕. Zenodo. DOI: 10.5281/zenodo.20187591.
[4] Han Qin (秦汉). 〔Self-as-an-End: General Methodology (V2)〕. Zenodo. DOI: 10.5281/zenodo.18842449.
[5] Han Qin (秦汉). 〔SAE Buddhist Interface Series I: Yogācāra — The Ālaya-vijñāna/Seed System and the Quadripartite Form〕. Zenodo. DOI: 10.5281/zenodo.20579131.
[6] Han Qin (秦汉). 〔SAE Buddhist Interface Series II: Chan — Non-abiding and the Breaking of the Abidable Construct〕. Zenodo. Concept DOI: 10.5281/zenodo.20635734.
> Note: the exact published titles of [1]–[6] and the DOI of Series II [6] are as given on their Zenodo record pages; on publication, this paper's continues relation points to Series II [6], and its cites relation points to [1]–[5] and to the Buddhist sources below. DOIs are placeholders pending registration.
II. Buddhist canonical sources (CBETA)
Citations follow the Taishō (T) volume and number; the edition is the CBETA electronic canon. Where "line-reference to be finalized" is marked, the fascicle/chapter is fixed and the precise page-line awaits finalization against the CBETA source.
[7] Nāgārjuna, comm. Pingala, trans. Kumārajīva. Mūlamadhyamakakārikā (Zhonglun 中論). CBETA, T30, no. 1564. 〔Eightfold-negation homage verse and Pingala's commentary "stated briefly as eight matters, it is a total negation," "if one, then no condition; if different, then no continuation," fasc. 1, "Examination of Conditions," from p. 1c12; nirvāṇa verse "nothing attained, nowhere reached … this is called nirvāṇa," fasc. 4, "Examination of Nirvāṇa," line-reference to be finalized.〕
[8] Jizang. Dasheng xuanlun 大乘玄論. CBETA, T45, no. 1853. 〔Four levels of the two truths, fasc. 1 on "the meaning of the two truths"; line-reference to be finalized.〕
[9] Jizang. Zhongguanlun shu 中觀論疏. CBETA, T42, no. 1824. 〔End of fasc. 2 also lays out the four levels; line-reference to be finalized.〕
[10] Jizang. Erdi yi 二諦義. CBETA, T45, no. 1854. 〔Three-level formulation of the two truths, consulted.〕
[11] Jizang. Fahua youyi 法華遊意. CBETA, T34, no. 1722. 〔Root / branch / gathering-back three turnings of the Dharma wheel; line-reference to be finalized.〕
[12] Jizang. Fahua yishu 法華義疏. CBETA, T34, no. 1721. 〔"Concealing the real / raising the provisional / gathering the branch back to root," consulted.〕
[13] Sengzhao. Zhaolun 肇論, "On the Emptiness of the Unreal" (不真空論). CBETA, T45, no. 1858. 〔Critique of the three houses (Original Non-being / Mind's Non-being / Matter-as-such), "neither being nor truly being, neither non-being nor truly non-being" double removal; line-reference to be finalized.〕
[14] Nāgārjuna, trans. Kumārajīva. Dazhidu lun 大智度論 (Mahāprajñāpāramitā-śāstra). CBETA, T25, no. 1509. 〔Fasc. 1 on the "supreme-meaning siddhānta," "past all paths of language, the workings of mind extinguished, resting nowhere, indicating no dharmas"; line-reference to be finalized.〕
[15] Nāgārjuna, trans. Vimokṣaprajñā-ṛṣi & Gautama Prajñāruci. Vigrahavyāvartanī 迴諍論. CBETA, T32, no. 1631. 〔"Because my thesis is no-thing, thus I incur no fault," "I have no thesis-mark — how can you fault me?"; line-reference to be finalized.〕
III. Modern scholarship (reference layer)
Per the series' discipline, modern Madhyamaka scholarship may be used only to sharpen the accuracy of statements about Madhyamaka (reference layer), and bears no warrant for any SAE thesis (criterion layer). This paper's body cites no modern scholar directly; should the English rewrite require reference-layer citation on points such as the operationalization of svabhāva (e.g., Garfield, Siderits, Westerhoff, Robinson), these are to be marked separately, without altering their reference-layer standing. 〔Pending author's confirmation.〕