The fire that has gone out: four answers, all conceding the same false assumption.
Catuṣkoṭi
Four exhaustive alternatives where European logic recognises two - and the practice of rejecting all four.
- Theme
- Logic, language and interpretation
- Tradition
- Buddhist
- Term
- चतुष्कोटि · catuṣkoṭi
- Term fixed
- c. 150
In plain terms
Given a claim, European logic offers two positions: it holds, or it does not. The catuṣkoṭi offers four. It holds. It does not hold. It both holds and does not. It neither holds nor does not.
That looks like a violation of two logical principles at once, and the first reaction of most Western readers is that something has gone wrong in translation. It has not.
What the structure is usually used for is refusal. Nāgārjuna's characteristic move is to take a question, lay out all four corners, and reject each - which leaves no position at all rather than a fifth one. The point is that the question presupposed something false, and that answering it in any of the available ways would concede the presupposition.
As a philosopher would put it
The fourfold structure appears in the Pāli canon framing the avyākṛta, the questions the Buddha set aside - whether the world is eternal, not eternal, both, or neither - and his refusal of all four is presented as a rejection of the frame rather than agnosticism.
Nāgārjuna deploys it as argument. Things are not produced from themselves, nor from another, nor from both, nor without cause: all four corners refuted, and no positive thesis advanced, which is what he means by having no position.
Interpretation divides sharply. Some readers take the third and fourth corners at face value and find genuine paraconsistency, which makes Priest's dialetheist reading natural. Others argue the corners are disambiguated by scope or by the two truths, so that no single claim is affirmed and denied in the same respect and classical logic survives. Robinson's mid-century reading took the second line; Priest, Garfield and Deguchi have argued for the first, and the question is very much open.
Where you meet it
The clearest use is the one the tradition itself records. A wanderer named Vacchagotta asks the Buddha whether a liberated person exists after death. The answer offered is that it does not apply - and the same for does not exist, for both, and for neither.
The explanation given is an analogy: if a fire goes out, asking which direction it went is a question with no answer, because the question assumes the fire is the kind of thing that goes somewhere. All four available answers concede that assumption, so all four have to be declined.
This is not evasion and it is not mysticism. It is the recognisable move of rejecting a question's presupposition, made explicit and systematised. English has no comfortable way to do it - the nearest is answering neither, and your question is wrong, which sounds rude. The four-cornered structure makes the refusal a formal position rather than an awkwardness.
What is actually disputed
Whether the third and fourth corners are literal.
If they are, then Buddhist logic countenances true contradictions and the whole framework is paraconsistent - which makes Nāgārjuna a dialetheist eighteen centuries before the word, and is exactly what Priest and Garfield have argued. If they are not, and the corners are separated by scope, respect or level of truth, then nothing violates classical principles and the structure is a rhetorical device for exhausting a space of options.
The textual evidence supports both readings, partly because Nāgārjuna is not consistent about it. And a third position holds that the whole apparatus is therapeutic rather than logical - the corners are laid out to be dismantled, and asking which logic they belong to is applying a standard the text was designed to frustrate. That reading is popular and has the disadvantage of being unfalsifiable.
Commonly confused with
Defined against
- Excluded middle Four exhaustive options against two, which is the most direct logical disagreement between the Indian and Greek traditions
Philosophers
- Nagarjuna Where the structure becomes a method of argument
- Buddha The undeclared questions, in the earliest form
- Vasubandhu The Abhidharma context the argument is aimed at
- Aristotle The two-valued alternative, stated as firmly as possible
Works
- Mulamadhyamakakarika The four-cornered arguments throughout
- Abhidharmakosa The systematic position being dismantled
- Metaphysics The two-valued principles it appears to violate
- Bodhicaryavatara The ninth chapter, where the method is applied
Schools
- Madhyamaka Buddhism Where the structure does its main work
- Early Theravada Buddhism Where the undeclared questions are recorded
- Yogacara Buddhism Where a different resolution is attempted
- Peripatetic school (Aristotelianism) The two-valued framework it contrasts with
Related concepts
Excluded middle c. 330 BC · Non-contradiction c. 330 BC · Śūnyatā c. 150 · Paradox c. 450 BC · Dialectic c. 380 BC
The fourfold structure appears in the earliest Buddhist discourses as a way of framing questions the Buddha declined to answer; Nāgārjuna turns it into a method of argument.