The Logic of Dependency

In seeing, there is just the seen. Anatta removes the doer from seeing: no one stands behind the eyes, doing it. What I call the logic of dependency is that same seeing turned on everything: on change, on identity, on continuity, on the path itself. The eight steps take this page apart one piece at a time, and Decoding Anatta and MMK Chapter 3 shows why anatta and Nāgārjuna are one insight.

Two Logics, Two Starting Points

Watch a candle burn for a minute. The flame leans, steadies, shrinks when the door opens and recovers. Ask what is happening, and the answer arrives before any thought: the flame is changing. Something is there, and something is happening to it. Even after the arguments against it have been followed and accepted, this picture tends to return the moment attention is off duty. One still sees a something undergoing change.

The persistence of that picture is the subject of this page. It is not a stray belief that a counter-argument can remove. It is a way of reasoning: a logic, in the loose sense of a pattern of inference that decides which questions seem natural and which answers seem possible. Call it the logic of substance. It starts with things, and then asks what happens to them. Do they arise, last, move, end, stay the same?

The logic of dependency starts one step earlier. It does not begin with things and ask what happens to them. It asks how anything is identified as a thing in the first place, and finds that it is identified only in dependence, on parts, causes, contrasts and the designation under which it is picked out, with no thing standing there before that identification. Call this the logic of dependency. The two logics use the same words: change, cause, identity, continuity, the path. But because they begin in different places, the same words lead them into entirely different worlds (Book 1, Interlude).

This page sets the two side by side. It asks first whether we really reason this way at all, and then what 'logic' means when these pages call their conclusion a logical necessity. It then follows the logic of dependency through change, the eight extremes, identity, convention and continuity; meets two modern candidates for a last substrate, energy and potentiality; and ends with what the shift means for practice.

Do We Actually Think Substantially?

Before the two logics can be compared, an honest question has to be faced. Does anyone actually reason in the substantialist way? Ask people whether things have fixed essences and most will say no. Everything changes, they will say; everything is connected; nothing lasts. Many have read enough to call themselves process thinkers. If the logic of substance is a position nobody holds, this page is arguing with a ghost.

Book 1, Chapter 1 sketches the large pictures: space as a container, time as a river, rebirth as a traveller. Here the question is put more sharply, and with evidence. The test is not what people say when asked, but what they do when they are not asked. Six places show it, and the first two lie beneath all the others.

In space. Asked, few people will say that space is a thing. Yet almost everyone pictures it as one: a vast, empty room in which objects are placed, which would remain, dark and waiting, if every star were taken away. Isaac Newton wrote the intuition into physics. Absolute space, he held, stays always the same and immovable, without relation to anything outside it (Principia, 1687, Scholium to the Definitions). Kant went further and made space a form that every outer experience must take (Critique of Pure Reason, 1781). The picture shapes the most casual speech: there is room for a sofa, an empty space on the shelf, nothing between the stars. What is never met is space apart from distance, reach and room for something (MMK 5; Book 1, Interlude). The room that would survive the removal of everything is not found. It is assumed.

In time. Time is held more tightly still. It is pictured as a river flowing on its own, from past through present into future, carrying events whether or not anything happens. Newton wrote this in too: absolute time, he held, flows evenly of itself, without relation to anything outside it (same Scholium). Language treats time as a substance in two ways at once. It is a moving thing: the deadline approaches, the weekend flew, the years went by. And it is a stuff: we spend, save, waste and run out of it (George Lakoff and Mark Johnson, Metaphors We Live By, 1980). Cultures differ in the shape of the picture. Speakers of Aymara in the Andes gesture to the past as lying ahead of them and the future behind (Rafael Núñez and Eve Sweetser, 'With the Future Behind Them', Cognitive Science, 2006). But the substance remains: a time that is somewhere, ahead or behind, apart from the events placed in it. The general anaesthetic of Book 1, Chapter 8 is the plain counter-evidence. Three hours pass on the clock and none in experience, and no river is found that flowed by itself (MMK 19; Book 1, Interlude).

These two pictures carry all the rest. The 'something changing' with which this page began is pictured as a thing set on a stage and carried along by a stream: a passenger in a container, riding a river. Take away the stage and the stream and the passenger has nowhere to be. This is why the logic of dependency has to reach space and time. If it stops at objects, the substantialist picture of change survives intact underneath it.

In grammar. Every sentence about change has a subject and a predicate: the flame flickers, the market fell, I have changed. The subject is held still so that the predicate can happen to it. This is not a theory anyone chose; it is the shape a thought takes before it is a thought. Saying 'everything changes' does not escape it. 'Everything' is the subject, and it is still pictured as something that does the changing.

In development. The habit is in place before language. Developmental psychologists have found that infants of a few months already expect objects to stay whole, to persist when hidden, and to move only by contact (Elizabeth Spelke, 'Principles of Object Perception', 1990). By the early school years children reason as if categories had hidden essences. A raccoon painted and altered to look like a skunk is, for most nine-year-olds, still a raccoon, because what it really is lies inside (Frank Keil, Concepts, Kinds, and Cognitive Development, 1989; Susan Gelman, The Essential Child, 2003). Psychologists call this psychological essentialism. It is the innate grasping (lhan skyes) of Book 1, Chapter 1, described from the laboratory.

In emotion. The habit is clearest when something is at stake. When one is falsely accused or unexpectedly praised, an 'I' appears, vivid and solid, which was injured or exalted, and which seems to stand behind everything the body and mind are doing. No one who has felt it can claim never to think substantially. The same is true of loss. Grief for someone who has died is felt as the disappearance of something that was really there, whatever one's philosophy says.

In the question itself. The clearest evidence is the question this page began with. After all the analysis, one still pictures something that changes. The picture is not believed; it is simply assumed, and it returns as soon as attention relaxes.

So the answer is yes, but with a qualification that matters. We do not think substantially all the time. Much of practical life already runs on relations: a cook judges the dough by how it responds, not by its essence; a driver reads the traffic, not the cars in themselves. The habit is not a constant belief but a default that switches on at particular places: when we explain, when we name, when we feel threatened, when we lose. Those are the places where the logic of substance does its work, and they are the places where the logic of dependency has to be tested.

What 'Logic' Means Here

'Logic' has a precise sense in these pages, and it is easy to hear it in another. It does not mean that Madhyamaka has a special logic of its own, and it does not mean that emptiness is reached by going beyond logic. It means the necessity of a consequence (prasaṅga). Whoever proposes something existing from its own side must say what it is. To say what it is, they must pick it out by contrast and designation, and so make it dependent (Book 1, Chapter 2). The argument borrows its premises from the opponent and shows that they cannot be stated without undermining themselves.

Three features follow. First, the logic is not inductive. It does not survey the world and report that no essences have turned up; it shows what anyone proposing an exception must already be doing. Second, its conclusion is a negation without a thesis, a non-implicative negation (prasajya-pratiṣedha) that removes inherent existence and installs nothing in its place. Third, and most often misunderstood, it does not break the ordinary rules of reasoning. It relies on non-contradiction throughout. The chariot cannot be both identical with its parts and different from them; fire cannot be both one with its fuel and other than it (MMK 10.1). The analysis has its force because it holds the opponent to exactly these rules.

What, then, of the famous refusals: neither existent nor non-existent, neither arising nor ceasing? These are not true contradictions, and they do not deny the law of excluded middle. They refuse a presupposition. 'Is the present king of France bald?' cannot be answered yes or no, because there is no present king of France; the question fails before either answer could be true. 'Does the self exist or not?' and 'Does this moment arise or cease?' fail in the same way. Each presupposes a bearer with a status of its own, something there to exist or not exist, to arise or cease. When no such bearer is found, both answers fall together. Logic has not been suspended. The question had nothing to be about (MMK 15.10; SN 12.15).

This is worth saying plainly, because it marks the difference between the Middle Way and its imitations. A view that claims to transcend logic can say anything, and so says nothing. The logic of dependency says one thing exactly: what is proposed as standing on its own is not found to do so, and the proposal undermines itself.

Change Without a Changer

The logic of substance pictures change as a noun with verbs happening to it. There is a flame, and the flame flickers; there is a person, and the person ages; there is water, and the water freezes. The noun is the stable carrier, the verbs are what befall it, and the question 'what really changed?' looks for the carrier underneath.

Look for the carrier. The flame at this moment is wax vapour, oxygen and light that were not there a moment ago and will be gone the next. Nothing in the flame is the flame across the minute. Take away the burning and no flame is left over to have been burning. The noun is never found apart from the verbs. Yet the verbs are not found apart from the noun either: a flickering with nothing flickering is no more available than a flame that does not flicker. Walker and walking, Nāgārjuna showed, are designated together, and neither is found first (MMK 2.18–21). The same holds for changer and change.

This is why the habitual picture is so hard to set down. It is not a belief about flames. It is the grammar of a sentence, subject then predicate, laid over experience and taken for the shape of the world. The logic of dependency does not replace the subject with a better subject, such as a process, a flow or an energy. It notices that subject and predicate, changer and change, are designated together within a framework of before and after, and that the framework itself does not stand on its own (Book 1, Chapter 3).

What remains is change met without a thing that changes. The candle still burns down; the wax is shorter at midnight than at dusk; one can say correctly when it was lit and when it went out. Nothing is lost from the burning. Only the passenger is let go: the something that was supposed to ride along underneath, staying the same while everything about it differed.

The test is available at once. The next time the picture of 'something changing' arises, look for the something, not in theory but in what is in front of you: the sound that is fading, the thought that is passing, the flame that is leaning. Look for what is changing, apart from the changing. The picture insists it must be there. The looking finds more change, vivid and exact, and no changer behind it.

The Eight Extremes Turned Over

Nāgārjuna's homage names eight extremes in four pairs: arising and ceasing, permanence and annihilation, coming and going, identity and difference. Under the logic of substance these are simply the questions one asks about anything. When did it start? When will it end? Does it last, or is it destroyed? Where did it come from, and where did it go? Is it the same as that, or different?

Every one of these questions assumes the same thing: that there is something with whereabouts, a position in time, in space or in identity that belongs to it from its own side. Arising and ceasing place it at the two ends of a line. Permanence keeps it on the line, and annihilation removes it. Coming and going move it from one place to another. Identity and difference set it beside something else to be compared. The extremes are not eight separate errors. They are eight ways of asking where a thing is.

The logic of dependency turns the questions over instead of answering them. It does not say the thing arises in a subtler way, lasts in a hidden form, or goes somewhere invisible. It says that what was supposed to have whereabouts is not found, and so the questions lose their object.

The decisive point is easy to miss. Dependent arising is not one thing and the eight negations another, as if what arises in dependence were then also, mysteriously, free of arising. The negations describe dependent arising itself. If a sprout could be found arising from its seed, it would have an arising of its own, and it would not need to depend. That it depends is exactly why no arising is found when it is sought. Dependence and unfindability are one fact, seen from the side of convention and from the side of analysis.

This turns ordinary experience upside down without removing any of it. Switch off a lamp, and the room is dark, and the light went nowhere. Switch it on, and the room fills, and the light came from nowhere. Both are true of every appearance, and both were true all along.

Identity: From Essence to Criteria

Under the logic of substance, 'what is it?' and 'is it the same?' have answers hidden in the thing itself. A thing is what its essence makes it, and it remains the same thing as long as the essence remains. The questions may be hard, but they are factual: somewhere in the thing, the answer is waiting to be found.

The logic of dependency moves the question. Identity is not what a thing is in itself but how it is reliably picked out. 'Is it the same?' becomes 'the same by which criteria, for which purpose, within which framework?' The phone with a cracked screen is the same phone for the repair shop and the insurer. A ship whose every plank has been replaced is the same ship on the register, and perhaps not for the museum that kept the old planks. The child in the old photograph is you for your family, your birth certificate and the story that runs from that afternoon to this one (Book 1, Chapter 9). Each answer is correct within its framework. None of them is found in the thing apart from the framework.

This does not make identity arbitrary. Criteria can be applied correctly or incorrectly, and they are tested against further experience. A forged passport fails; a mistaken identification in a crowd is corrected when the face turns. What has gone is only the further claim that beneath the criteria there is an identity they are trying to track: a sameness from the thing's own side, which the criteria merely detect.

For many readers this is the point at which the analysis stops being abstract. Identity was the most undeniable thing there was: I am I, this is this. Seen through the logic of dependency, it is not less real, but its reality is of a different kind. It is the reality of a designation that works.

Conventional, Not 'Merely' Conventional

The same shift changes the meaning of 'conventional'. The logic of substance hears the word as a demotion. Whatever is conventional is agreed on, perhaps arbitrary, certainly less than real; the real is what would be there whether or not anyone agreed. On this hearing, to call the world conventional is to call it second-rate, and the path must lead from the conventional to something truer behind it.

For the logic of dependency, conventional truth is the only kind of validity there is, and it is fully valid. It has standards. Tsongkhapa's three criteria (Book 1, Chapter 13) sort sound conventions from mistaken ones: what is known to ordinary cognition, not overturned by further ordinary cognition, and not contradicted by analysis of the ultimate. The snake in the rope fails the second test. The inherently existing rope fails the third. The rope as designated passes all three. Convention is not the opposite of truth. It is where truth, in every usable sense, lives.

What changes is the status of the 'undeniable'. Under substance, certain things seem beyond question: that this table is simply here, that I am simply me, that time simply flows. They are felt not as conventions but as facts that convention merely reports. The logic of dependency shows each of them to be a designation so reliable and so habitual that its being a designation has become invisible. Nothing of its reliability is lost when this is seen. Only its claim to stand outside the framework that makes it reliable is lost.

And there is no second, deeper truth for convention to fall short of. Ultimate truth is not a higher world. It is the emptiness of this one: the fact that the conventional table, the conventional self and the conventional hour are not found from their own side (Book 1, Chapter 5). There is one appearance, seen two ways.

Continuity Without a Carrier

If there is no carrier, what makes a life one life, a habit one habit, a river one river? The logic of substance has only one answer: something persists. A soul, a stream of consciousness, a neural core, the energy that is conserved: each is proposed as what carries continuity through time. Remove it, the substantialist expects, and what is left is a series of disconnected flashes, each moment sealed off from the next.

The logic of dependency rejects both pictures, the carrier and the disconnection. Nāgasena's lamp is the classic image. The flame of the last watch of the night is neither the flame of the first watch nor a different flame; nothing passes from one to the next, and yet the second is not unconnected with the first (Milindapañha). Continuity is designated on a succession that is neither identical nor wholly different (MMK 18.10; 27).

A melody known by heart shows how this works. Each playing is new, and none is the previous one. There is no tune stored somewhere between playings, waiting to be released. Yet the tune is recognised across them all, and it can be played well or badly, remembered or forgotten, changed by practice. Habit, character, skill and karma are like this. Each moment is conditioned by what went before, and the link is real and reliable. But the link is designated across the moments, not carried by something that runs through them.

Two consequences follow. The first is that nothing is lost. Memory, responsibility, learning and the karmic continuity the tradition describes are all preserved, as designations that hold; the mere I of Book 1, Chapter 9 keeps its promises. The second is that nothing is fixed. A continuity not carried by an essence can bend. A habit can loosen, a character can soften, a grievance can end, because there was never anything underneath that had to stay the same. Continuity without a carrier is more reliable than the nihilist expects, and more open than the substantialist can allow.

Objection: Isn't Energy the Substrate?

A reader trained in physics may feel that a carrier has been found after all. Energy is conserved: it changes form, chemical into heat, heat into motion, while the total stays the same. Surely it is the something that persists through every change.

Physics itself does not treat it so. Energy is a conserved quantity, a number that keeps balancing, not a stuff poured from one container into another. Its amount depends on the frame of reference; its conservation follows from a symmetry, the fact that the laws do not change over time; and in an expanding universe no total is conserved at all. When a match burns, nothing is found leaving the match head and travelling into the flame. Conservation is a designated regularity of the highest reliability. It is not a passenger. The full answer is in Isn't Energy the Substrate?

Objection: Potentiality and Plasticity

A subtler candidate remains. If nothing is fixed from its own side, appearances seem endlessly malleable, so perhaps there is a store of potentialities behind them, and appearances are its actualisations. That turns emptiness into a new substance, made of possibilities instead of stuff. But a potential is identified only through its actualisation and its partner: salt is soluble only in relation to water. "Could" is a designation made within conditions, not a thing waiting backstage. Nor is the plasticity infinite: appearances are exactly as plastic as their conditions allow, and no more. The Dzogchen word unobstructed (ma 'gags pa) fits better than "potential": nothing blocks the display, and there is no store behind it. Book 4, Chapter 8 takes this up in full.

A Different Path: Conditions and Openness

The two logics do not only describe the world differently. They lay out different paths through it.

Under the logic of substance, the path is a journey made by a traveller. There is a self in bondage and a goal to be reached; bad states are things to be removed, good states are things to be acquired, and awakening is a place or condition one arrives at and then keeps. Effort is aimed at the states themselves, suppressing anger as one would lift out a stone, holding on to calm as one would hold a coin. And because the states are pictured as things, the effort tends to harden into grasping: at progress, at experiences, at the self that is supposedly being improved.

Under the logic of dependency, the path is reorganised around three recognitions.

1. Conditions are what work. Anger is not a thing with its own nature. It arises in dependence on a situation, a body, a history and an interpretation. It cannot be removed directly, like a stone, and it does not need to be. Change the conditions, the attention, the interpretation, the posture, the circumstances, and the appearance reconfigures. Ethics, meditation and study are not attacks on fixed defects but ways of arranging conditions.
2. Openness is not a virtue added on top. It is what being dependent already means. If states had their own nature, practice would be pointless, because nothing could become other than it is (MMK 24.16–20). Practice works because nothing is fixed.
3. There is nothing to hold, and no one apart from the holding. It applies to the path itself: there is a path, but no one who goes on it apart from the going. Nāgārjuna shows that the goer is not found apart from the going, nor the going apart from the goer (MMK 2). The practitioner is the mere I, designated on the practising, fully able to practise and not found apart from it.

One trap remains, and it is the substantialist habit's last refuge. 'Openness', 'non-holding' and 'emptiness' can quietly become the new things held: a state to reach, an attitude to maintain, a view to defend. Nāgārjuna's warning about those who make emptiness into a view (MMK 13.8) applies here with full force. Openness, too, is empty. It is not something one has. It is the absence of what one was holding.

The Two Logics Side by Side

Return to the candle. It still burns down through the night, the wax shortening, the flame leaning in the draught. The logic of substance asks what the flame really is beneath its changing, and where it will go when it goes out. The logic of dependency asks nothing of the kind. It notices that the flame was never anything apart from the burning, and the burning never anything apart from the wax, the air and the one who watches.

Nothing is taken from the candle by this. It gives exactly as much light as before. What changes is only the weight with which it is watched, and with that, the direction of a life spent watching.

Where the logic ends

This logic is not meant to stay a set of arguments. When it is seen, not only followed, something simple happens. With no doer anywhere, and nothing put in its place, nothing is left producing the appearing. The candle's light, a sound, a thought: each appears whole, exactly as its conditions meet, and owes its completeness to nothing hidden. The Dzogchen tradition calls this spontaneous presence. It is not uncaused, and it is not a source behind things. It is dependent arising itself, met without the fixing. That is why I say that dependent arising is spontaneous presence (Seeing Comes First; Decoding Anatta and MMK Chapter 3).

The chain, 6 of 7. Next: Beyond Cause and Effect, why dependent arising is spontaneous presence, and where the question of cause stops applying.