What this matrix compares
The object of negation (dgag bya; pratiṣedhya) is the most diagnostic single question in Tibetan Madhyamaka: what exactly is denied when Madhyamaka asserts that things are empty? The answer determines (i) the scope of the negation; (ii) whether a qualifier (bden grub, paramārthatas) is needed; (iii) what survives as conventional truth; (iv) whether the negation is partial or total; (v) which of the four koṭis are reached by a single negation. Five Tibetan masters give five formally distinct answers (with Gendün Chöpel as a sixth, twentieth-century Geluk-internal voice). This matrix lays them side-by-side. A seventh row, Dolpopa, is included as an explicitly off-axis zhentong voice: he does not give a same-kind answer to “what is the dgag bya?” because he does not negate the ultimate at all — his negation is asymmetric (conventionalities negated and self-empty; the ultimate exempted as an affirming negative). The six on-axis counts below therefore concern the six Prāsaṅgika-style voices; Dolpopa is treated separately.
The matrix is constructive — it does not adjudicate. The wiki’s adjudicative arguments live elsewhere (grasping-emptiness-is-itself-a-form-of-nihilism for the Gorampa-Tsongkhapa contrast at the level of whether the negation is enough; catushkoti-must-negate-all-four-extremes for the formal-methodological correlate; zhentong-is-refined-cittamatra-not-madhyamaka for the Sakya/Geluk convergence on what zhentong fails to negate). This matrix is the structural map onto which those arguments can be read.
The matrix
| Thinker | Object negated | Scope qualifier | What survives conventionally | All four koṭis? | Primary text |
|---|---|---|---|---|---|
| Tsongkhapa | Essential-mode-of-existence (six synonyms: true / ultimate / absolute existence; existence by essential nature / through intrinsic characteristic / intrinsic existence). The substantive mode-of-existence distinction is non-negotiable; the verbal qualifier (the word “ultimately”) is attributed to Svātantrikas and disavowed for Prāsaṅgikas at tsongkhapa-ocean-of-reasoning-1408 Homage .1.1.2 — Buddhapālita and Candrakīrti “neither require nor forbid” the verbal qualifier. All four koṭis are negated under the essentiality-qualifier; none under the merely-qualifier (tsongkhapa-ocean-of-reasoning-1408 Ch 15) | Mode-of-existence qualifier required; verbal qualifier optional but available for Prāsaṅgikas. Without the substantive distinction the negation slides into nihilism. Ocean refines the wiki’s earlier framing | Phenomena fully — robustly posited through mere conceptualisation, valid by pramāṇa (criteria: established by conventional pramāṇa; not refuted by another conventional pramāṇa; not refuted by ultimate analysis) | Yes under the essentiality-qualifier (not under the merely-qualifier) — the wiki’s earlier “narrow first koṭi only” reading was Gorampa’s polemical summary; Ocean Ch 15 negates all four koṭis under the essentiality reading | Lam rim chen mo; tsongkhapa-ocean-of-reasoning-1408 (Ch 1, Ch 15, Ch 24, Homage .1.1.2); tsongkhapa-illuminating-intent-1418 (Chs 9, 11, 12) |
| Gorampa | All four extremes without qualifier; phenomena themselves under analysis | No qualifier — qualifier-tradition is the diagnostic error | Mere appearance (snang tsam) at the conventional, exhausted by deluded perception | Yes — methodologically constitutive | gorampa-distinguishing-views-1469 ; gorampa-removal-wrong-views MA 6.23 reductio |
| Ninth Karmapa | Phenomena themselves, not just their “true existence” | Tsongkhapa’s qualifier yields “partial emptiness” — wider scope required | Three-stage analysis: no-analysis appearance / slight-analysis arising-and-ceasing / thorough-analysis ungenerated | Yes (via three-stage progression) | karmapa-feast-fortunate-1578 |
| Mipham | Bden grub qualifier as crypto-substantialism rejected; the difference between the truths is epistemic, not ontological | No bden grub qualifier; instead, rnam grangs ma yin pa’i don dam (ultimate-in-itself) and rnam grangs pa’i don dam (approximate ultimate as med dgag) | Both truths real at their proper level; conventional truth is what correct conventional cognition finds | Yes — at the level of the actual ultimate; the approximate ultimate operates as med dgag | mipham-introduction-middle-way-2002 (Supplementary Discussions , , , ) |
| Shakya Chokden | On the Niḥsvabhāvavāda side: svabhāva in all phenomena (parallel to Tsongkhapa’s six synonyms but read non-affirmingly only). On the Alīkākāravāda side: false-aspectarian aspects of consciousness — non-dual primordial mind survives as the don dam bden pa go chod (actual ultimate) | No qualifier on the Niḥsvabhāvavāda side; on the Alīkākāravāda side, the negation is asymmetric (aspects negated, primordial mind affirmed) | The Niḥsvabhāvavāda ultimate is a “mere metaphorical ultimate”; the actual ultimate is non-dual primordial mind, accessible only on the Alīkākāravāda side | Yes on the Niḥsvabhāvavāda side; on the Alīkākāravāda side the affirmation of primordial mind is not a fourth-koṭi violation because the affirmation is meditative-experiential, not propositional | komarovski-visions-unity-2011 (Shakya Chokden’s Definite Ascertainment of the Madhyamaka View, etc.) |
| Gendün Chöpel | Phenomena themselves; the Geluk bden grub-qualifier is structurally self-undermining (one cannot identify the qualifier before understanding the view it is supposed to introduce). The four extremes are reached without qualification, with the rabbit-horn analogy supplying the philosophical case against asymmetric qualifier-application | No qualifier — and the qualifier-procedure is diagnosed as self-undermining at its source (¶35–¶41) rather than as merely inadequate; cites Tsongkhapa himself (“Until one has understood emptiness, it is impossible to distinguish mere existence from true existence”) | Mere fictions (Adornment ¶15, ¶19) that the unenlightened mind has no choice but to act on; conventional cognition is the fiction-making mind. No pramāṇa-warrant for conventional truth in the Geluk sense (¶56–¶76, the 21 refrain-verses) | Yes — the four extremes are reached without qualifier (¶29–¶33 cites Kāśyapaparivarta and Ratnakūṭa) and the Geluk-internal cross-witnesses (lCang skya, Gung thang, Pan chen Blo bzang chos rgyan) are named at ¶41 / ¶199 | lopez-madmans-middle-way-2006 (translation and commentary on Klu sgrub dgongs rgyan); see Klu sgrub dgongs rgyan for the primary text |
| Dolpopa (off-axis — zhentong) | “Other”: adventitious defilements and conventionalities (imputational + other-powered natures), themselves self-empty. The ultimate (tathāgatagarbha / self-arisen pristine wisdom) is not an object of negation at all — the negation is asymmetric | No qualifier on the conventional; instead the ultimate is exempted and is itself an affirming negative (ma yin dgag), not a med dgag (MD 470). This is the inverse of Tsongkhapa’s move: where Tsongkhapa qualifies what is negated, Dolpopa removes the ultimate from the negandum entirely | Conventionalities survive only as self-empty appearances to mistaken consciousness — not as truths in their own right, and not appearing to pristine wisdom (MD 527). What “survives” positively is the ultimate, not a conventional posit | On the conventional, yes (conventionalities are unfindable); but the ultimate is a “third category” beyond existence and non-existence (MD 309.7) that is also asserted to truly exist and be permanent — so the four-koṭi negation does not reach the ultimate | dolpopa-mountain-doctrine-1333 (Mountain Doctrine 213, 309.7, 470, 527) |
What the matrix shows
Four straight propositional answers, plus two hybrids. Four of the six (Tsongkhapa / Gorampa / Ninth Karmapa / Gendün Chöpel) give straight propositional answers to “what is negated?” — and they differ in scope. Two (Mipham, Shakya Chokden) decline the propositional form: Mipham routes the question through the two-ultimates structure; Shakya Chokden routes it through the Niḥsvabhāvavāda / Alīkākāravāda parity. Reading the matrix as one-dimensional (“narrow vs wide”) loses Mipham and Shakya Chokden; reading it as multi-dimensional captures all six.
Gendün Chöpel sharpens the qualifier-question diagnostically. The other four non-Tsongkhapa thinkers reject the qualifier on a substantive ground (the negation reaches further; the qualifier is a refined-substantialism move; the conventional needs no robust warrant). GC adds a structural ground: the Geluk procedure of identifying the qualifier before understanding the view is self-undermining — Tsongkhapa himself concedes this when he says “Until one has understood emptiness, it is impossible to distinguish mere existence from true existence.” The Geluk-internal cross-witnesses GC names (lCang skya, Gung thang, Pan chen Blo bzang chos rgyan) further extend the pattern that the Ninth Karmapa documents in karmapa-feast-fortunate-1578 — high-Geluk scholars in the seventeenth–nineteenth centuries had already conceded the over-fineness of the bden grub qualifier as a practice, even while the Geluk doctrine retained it. The matrix’s qualifier column now has both a substantive and a structural critique of Tsongkhapa’s row.
The qualifier question is the single sharpest fault line — refined by Ocean of Reasoning. The earlier wiki framing read Tsongkhapa as “requiring the bden grub qualifier.” Ocean Homage .1.1.2 sharpens this: Tsongkhapa requires the substantive mode-of-existence distinction (mere-existence vs essential-existence) but attributes the verbal-qualifier requirement to Svātantrikas and disavows it for Prāsaṅgikas — “in the system of Buddhapālita and Candrakīrti, … they do not maintain that the modifying phrase ultimately is not applied to the object of negation. At the same time, they do not maintain that such things as arising cannot be negated without applying the modifying phrases.” The four non-Tsongkhapa thinkers (Gorampa, Karmapa, Mipham, Gendün Chöpel) attack Tsongkhapa at the mode-of-existence level, not at the verbal-qualifier level. Mipham’s “newfangled theory of substantialism” charge therefore lands on the substantive distinction, not on the verbal qualifier. The matrix’s qualifier column should be read as a question about what mode of existence is the negandum, with the verbal-qualifier device as a derivative tooling that Tsongkhapa himself treats as Svātantrika-optional. The Geluk-vs-everyone-else asymmetry is real but narrower than the standard polemical framing suggests.
The “partial emptiness” charge has two distinct forms. The Ninth Karmapa charges Tsongkhapa with partial emptiness because the qualifier exempts phenomena themselves from the negation; Gorampa charges Tsongkhapa with partial emptiness because bden grub is treated as the real ultimate, leaving the conceptual apprehension of med dgag unnegated (see grasping-emptiness-is-itself-a-form-of-nihilism). The two charges are independent — the Karmapa’s charge is scope (the negation does not reach far enough); Gorampa’s charge is reflexive (the negation does not turn back on its own grasping).
Shakya Chokden bifurcates the matrix. On the Niḥsvabhāvavāda side his answer is structurally close to Gorampa’s (no qualifier; reach all four koṭis; but the resulting ultimate is “merely metaphorical”). On the Alīkākāravāda side his answer is structurally close to a Yogācāra-leaning zhentong reading (an exempted positive ultimate accessible in meditative experience). His novelty is holding both at once under a parity thesis that the wiki’s zhentong-is-refined-cittamatra-not-madhyamaka argues is unstable as Madhyamaka.
Mipham and Gorampa are closer than the schools suggest. On the matrix proper — qualifier rejected, all four koṭis reached, both truths’ integrity preserved — Mipham and Gorampa converge against Tsongkhapa. The differences (Mipham’s epistemic-not-ontological gloss; Mipham’s two-ultimates structure pointing toward the tathāgatagarbha as the ultimate-in-itself) are visible in the right-hand columns but do not alter the structural shape of the negation.
Tsongkhapa’s qualifier-tradition is not a stipulation — it is defended at MA 6.34–36. The bden grub qualifier is sometimes presented (especially by Sakya/Kagyü/Nyingma critics) as a Geluk innovation introduced to soften the negation. Tsongkhapa’s structurally unique reading of MA 6.34–36 (tsongkhapa-illuminating-intent-1418 Ch 12) supplies the load-bearing defence: any opponent who concedes intrinsic characteristic on the conventional level — even on the Svātantrika’s “great skilful means” reading — incurs three unwanted consequences (annihilation by ārya equipoise; conventional truths withstanding ultimate analysis; ultimate arising slipping back in). The qualifier is therefore not introduced to exempt phenomena from the negation but to specify what the negation reaches in such a way that conventional phenomena survive. This means the matrix’s qualifier column tracks two reciprocal commitments: Tsongkhapa’s qualifier defends the robust-conventional cell; the other four thinkers’ rejection of the qualifier reflects already-non-robust conventional-side handlings (Gorampa’s snang tsam; the Karmapa’s “no-analysis level”; Mipham’s epistemic-not-ontological; Shakya Chokden’s go chod-ultimate located on the Alīkākāravāda side). The 4-vs-1 pattern is not “four right, one wrong” but “two reciprocal architectures” — the matrix’s structural value is in making this visible.
The substantive-not-merely-methodological framing of Prāsaṅgika–Svātantrika (tsongkhapa-illuminating-intent-1418 Introduction §“Tsongkhapa’s Madhyamaka Philosophy” element 9; primary text base at Ch 9) is the analytic correlate. Tsongkhapa cites three contexts in which Bhāviveka’s residual realism is exposed (commonly-established factors; the three-natures critique of Cittamātra; the veridical-vs-distorted distinction within conventional truth) — and these are precisely the three contexts in which the qualifier-question and the substance-question converge.
Dolpopa is the matrix’s one off-axis voice — and that is itself diagnostic. The six on-axis voices all answer the same question: given that the negation reaches phenomena, what exactly is the negandum and how far does it reach? Dolpopa declines the question’s presupposition. For him the dgag bya is the conventional (imputational + other-powered natures), which is self-empty; the ultimate is removed from the negandum and re-described as an affirming negative (ma yin dgag) that truly exists. This is structurally parallel to Shakya Chokden’s Alīkākāravāda side (an exempted positive ultimate) — but where Shakya Chokden routes the exemption through a parity thesis and Mipham through the two-ultimates, Dolpopa makes it a flat metaphysical exemption. The interest of placing him on the matrix is precisely that his row will not fill the same cells the other six fill: the “scope qualifier” and “all four koṭis” columns split for him into a conventional answer (yes, negated) and an ultimate answer (no, exempted). Note too that Dolpopa’s own “third category / free from extremes” language (MD 309.7) reaches toward the same freedom-from-extremes idiom Gorampa and Mipham use — yet he retains “truly existent / permanent,” which they reject; see tathagatagarbha-and-four-extremes.
Cross-school witness count
For each diagnostic feature: how many of the six on-axis voices hold it? (Dolpopa is off-axis — see the row note above and the separate line at the end.)
- Reject the bden grub qualifier: 5/6 (all but Tsongkhapa)
- Negate phenomena themselves, not just their qualifier: 4/6 (Gorampa, Karmapa, Mipham at the actual ultimate, GC)
- Negation reaches all four koṭis: 5/6 (Tsongkhapa as the outlier per the others’ reading)
- Hold the conventional as fully posited rather than merely apparent: 1/6 (Tsongkhapa); 0/6 if Mipham’s “epistemic-not-ontological” reading is read as parity
- Posit a positive ultimate (tathāgatagarbha / primordial mind / dharmadhātu) on the actual-ultimate side: 2/6 (Mipham, Shakya Chokden’s Alīkākāravāda side); contested for Gorampa at MA 11.34 (tathagatagarbha-and-four-extremes) — plus Dolpopa off-axis, who posits the strongest such ultimate (truly existent, permanent, an affirming negative)
The 5-vs-1 pattern at the qualifier and four-koṭis columns (strengthened by GC’s twentieth-century Geluk-internal addition) is what the grasping-emptiness-is-itself-a-form-of-nihilism argument exploits when it characterises Tsongkhapa as the outlier whose innovation is the qualifier-tradition itself.
Dolpopa (off-axis): does not negate the ultimate at all; the dgag bya is the conventional, the ultimate is an exempted affirming negative. He is the matrix’s clearest case that the question “what is the object of negation?” already presupposes the universal-negation reading the zhentong tradition rejects — which is why his row’s qualifier and four-koṭis cells split between a conventional and an ultimate answer.
Linked pages
- Svabhāva — the concept being negated
- Non-affirming Negation — the form of the negation (med dgag); shared by Tsongkhapa and Gorampa, contested by Mipham and Shakya Chokden in different directions
- Prāsaṅgika-Svātantrika — the methodological frame for the qualifier question
- Rangtong-Zhentong — the parallel matrix on the rangtong/zhentong axis; Shakya Chokden’s parity thesis is the bridge between the two matrices
- grasping-emptiness-is-itself-a-form-of-nihilism — the adjudicative argument on the qualifier question (Gorampa side)
- catushkoti-must-negate-all-four-extremes — the formal-methodological correlate of the all-four-koṭis column
- sp-hierarchy-is-tibetan-construction — the institutional-historical correlate of the qualifier question
- zhentong-is-refined-cittamatra-not-madhyamaka — the structural argument that complicates Shakya Chokden’s parity thesis
- tathagatagarbha-and-four-extremes — where Dolpopa’s off-axis row connects (his affirming-negative ultimate vs the freedom-from-extremes Position 2)
- dolpopa-mountain-doctrine-1333 — primary source for the Dolpopa off-axis row