Definition
A non-affirming negation (prasajyapratiṣedha, Tib. med dgag) is a negation that simply removes its object without implying any positive remainder. In contrast, an affirming negation (paryudāsapratiṣedha, Tib. ma yin dgag) removes one thing while affirming another. For example, “the pot is not blue” (affirming: implies it is some other colour) vs. “there is no pot” (non-affirming: nothing further is implied).
In Madhyamaka, emptiness is classified as a non-affirming negation: it simply negates intrinsic nature (svabhāva) without affirming any positive ultimate reality in its place.
Interpretations
Tsongkhapa (in his own words): In Illuminating the Intent, Tsongkhapa insists that ultimate truth IS an object of knowledge and is obtained by rational cognition of suchness — but it is “not established through its own essence.” Being obtained by meditative equipoise does not make something truly existent. He explicitly distinguishes two senses of “ultimate” to avoid the trap: the rational cognition characterised as “ultimate” does establish phenomena, but existence through a thing’s own objective mode of being does not. Tsongkhapa is aware of the objection that his approach reifies emptiness, and his two-senses distinction is designed to pre-empt it. (From tsongkhapa-illuminating-intent-1418, Ch 9 and Ch 11)
Tsongkhapa’s prasajya / paryudāsa doctrine for the MMK (see tsongkhapa-ocean-of-reasoning-1408 Ch 1): the earlier (1407–08) and structurally more developed Ocean treatment supplies a verse-by-verse account of non-affirming negation as the form Madhyamaka negation takes. Several moves stand out. First, all four negations in MMK 1.1 (“not from itself, not from another, not from both, not without a cause”) are external (prasajya) negations: none projects an alternative. Second, Tsongkhapa engages the prasajya / paryudāsa distinction against Bhāviveka’s Tarkajvālā definition (Tarkajvālā 59b: “the external negation is just a mere elimination of the entity of a thing but does not establish anything else of that kind”). Third, he addresses two opponents at once — those who claim prasajya-negation cannot be the conclusion of an argument (it can, he answers, citing Vigrahavyāvartanī v. 26), and those who claim that establishing essencelessness by analytic cognition would render essencelessness itself truly existent (analytic cognition merely eliminates the object of negation; existence-of-essencelessness is not implicitly projected). Fourth, the “fat man who does not eat during the day” example separates prasajya from implicit-projection cases — “the sprout is without essence” carries no express implication. Fifth, autonomy is explicitly rejected (“Since it makes no sense for Mādhyamikas to propound autonomous arguments…”). Sixth, the Buddhapālita–Bhāviveka exchange is reconstructed in granular detail, with Tsongkhapa defending Buddhapālita’s compressed reductio form against Bhāviveka’s charge that it lacks premises and example. This is the most extensive scholastic treatment of the debate in the sources read so far, and the primary basis for Tsongkhapa’s claim that prasajya-negation is a thesis-establishing procedure (bearing on the no-thesis question; cf. vv-29-three-readings).
A qualifier-nuance from Ocean Homage .1.1.2 (p. 30): Tsongkhapa attributes the verbal-qualifier requirement (“ultimately,” “really,” “truly”) to the Svātantrika mādhyamikas and disavows it for Prāsaṅgika: “In the system of Buddhapālita and Candrakīrti, if any of the former or the latter modifying phrases are applied there is no need for a second modifying phrase; so the former and latter phrases are similar. Despite this 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 in these two sets.” This complicates the common shorthand that makes Tsongkhapa a straightforward qualifier-requirer. What is non-negotiable for him is the substantive mode-of-existence distinction (mere-existence versus essential-existence), not the verbal qualifier, which for Prāsaṅgikas is optional but available. His disagreement with Mipham, Gorampa, and the Ninth Karmapa sits at the mode-of-existence level, not the verbal one.
Tsongkhapa’s three reductios for med dgag (Ch 12, on MA 6.34–36): In a structurally innovative reading he acknowledges as unique to him — his teacher Rendawa and his colleague Lochen Kyabchok Palsang group these stanzas differently — Tsongkhapa reads MA 6.34–36 as three unwanted consequences against any opponent (including the Svātantrika) who concedes that things exist through their intrinsic characteristic even on the conventional level. (1) Annihilation by equipoise: if a sprout existed by intrinsic characteristic, the ārya’s meditative equipoise, which does not perceive the sprout, would destroy it, making the wisdom realising emptiness “a hammer to a vase.” (2) Conventional truths withstanding ultimate analysis: if the sprout existed by intrinsic characteristic, ultimate analysis would find it, collapsing the distinction between ultimate and conventional analysis. (3) Ultimate arising not negated: once intrinsic characteristic is conceded on the conventional, ultimate arising slips back in by the back door, since “intrinsic characteristic” just is what ultimate arising means. The argument is Tsongkhapa’s central defence of med dgag as the necessary form of Madhyamaka negation: any negation weaker than non-implicative leaves intrinsic existence standing under one of these three guises. He names Bhāviveka’s brand of Svātantrika as the target. The Heap of Jewels Sutra is invoked: “the middle path perfectly discerning reality does not make phenomena to be empty. Phenomena are themselves empty.” (From tsongkhapa-illuminating-intent-1418, Ch 12)
Tsongkhapa (via Gorampa’s critique): Gorampa charges that Tsongkhapa treats emptiness as a non-affirming negation that is the proper object of inferential cognition — making emptiness a specific, identifiable cognitive content, a conceptually accessible absence. This grasps at emptiness as an object. (From gorampa-distinguishing-views-1469)
Gorampa’s critique: Gorampa’s central claim is not that med dgag is the wrong form of negation but that Tsongkhapa, having correctly used med dgag to negate bden grub, then commits two further errors: (a) treating that med dgag as itself the real ultimate, and (b) refusing to negate the conceptual apprehension of that med dgag. Gorampa’s own formulation: “to accept that, once one has negated truth, the conceptualisation of emptiness should not itself be negated is to err on one of the most important points of the textual tradition of the Madhyamaka.” The point is structural. The med dgag of bden grub is only one of the four koṭis; eliminating it leaves three more standing, and grasping at it as the ultimate is itself an apprehension of the existence-koṭi at the level of the apprehending mind. The real ultimate lies beyond all four koṭis simultaneously, accessible only through āryan equipoise that withdraws even the appellation “ultimate.” For Gorampa this is not anti-med dgag but anti-reified med dgag: the negation must remain a stepping-stone (the quasi-ultimate) rather than become a destination. This stands in tension with the Geluk position that med dgag is the proper form of Madhyamaka negation and that ultimate truth is a genuine object of knowledge; the two positions disagree, and the disagreement is real. (From gorampa-distinguishing-views-1469 )
Gorampa’s rejection of double negation: The negation of existence does not entail the acceptance of non-existence. Gorampa’s position is yod min med min — “neither existent nor non-existent.” The negation of the first koṭi does not produce the second; all four koṭis of the catuṣkoṭi are negated. (From gorampa-distinguishing-views-1469)
Dolpopa — the ultimate is an affirming negative (see dolpopa-mountain-doctrine-1333 470): Against the shared Tsongkhapa/Gorampa commitment that the ultimate is a non-affirming negation, Dolpopa identifies the ultimate nine times in the Mountain Doctrine as an affirming negation (ma yin dgag, མ་ཡིན་དགག་, paryudāsapratiṣedha). It excludes conventionalities, so it is a negative; but it is “not a mere negative, or non-affirming negative, in that it is self-arisen pristine wisdom (རང་བྱུང་ཡེ་ཤེས་) endowed with buddha-qualities of body, speech, and mind” (MD 470). His formula: “the negative term ‘does not possess’ is an affirming negative because those types of conceptual consciousnesses do not exist [in the mode of subsistence], and it possesses naturally luminous pristine wisdom, devoid of them” (MD 470, 16307). This is the sharpest single formulation of the zhentong break from rangtong on the form of negation. Tsongkhapa and Gorampa disagree about almost everything else but agree the ultimate is a med dgag; Dolpopa denies precisely this. There is a complication: the same text also calls the ultimate “the middle devoid of extremes… a third category… not exhausted as a mere non-affirming negative” (MD 309.7). Dolpopa wants the ultimate to be neither a med dgag nor reducible to the first koṭi, which partly converges his language with Gorampa’s freedom-from-extremes register even as their verdicts diverge — he keeps “truly existent / permanent,” Gorampa rejects it. The two are recorded as distinct, not merged; see tathagatagarbha-and-four-extremes.
Tsongkhapa on prasajya negation and the excluded middle (via Jinpa): In jinpa-tsongkhapa-qualms-1999, Jinpa shows Tsongkhapa arguing that even the non-affirming negation (prasajya) must presuppose the law of excluded middle to be effective. He cites Vigrahavyāvartanī 26b: “If the absence of intrinsic being is reversed, intrinsic being becomes established.” Without subscribing to fundamental principles of logic, one is left only in a state of indecision. The argument is aimed at the “no-thesis” proponents who reject all logical argumentation. For Tsongkhapa, the ultimate insight into the middle way must be an active state of “knowing,” not a withdrawal of cognitive activity; otherwise it is indistinguishable from Hva-shang’s no-thought meditation.
Textual loci
- MMK 13:18 — emptiness as antidote to all views, not itself a view
- MMK 22:11 — “empty,” “non-empty,” “both,” and “neither” should not be stated
- dolpopa-mountain-doctrine-1333 470 — the zhentong counter-case: the ultimate as affirming negative (ma yin dgag), nine-fold, against the rangtong med dgag
- Candrakīrti’s Prasannapadā on the distinction between prasajya and paryudāsa negation
- Tsongkhapa’s Ocean of Reasoning — systematic treatment of emptiness as med dgag (see tsongkhapa-ocean-of-reasoning-1408 Ch 1: the prasajya / paryudāsa distinction; the four-negation external-reading of MMK 1.1; the Buddhapālita-defence)