The classical formula for dependent origination states the principle with almost mathematical plainness: when this exists, that comes to be; with the arising of this, that arises; when this does not exist, that does not come to be; with the cessation of this, that ceases. Applied specifically to the arising of suffering, the twelve nidanas trace a chain running from ignorance, through volitional formations, consciousness, name and form, the six sense bases, contact, feeling, craving, clinging, becoming, birth, and finally aging and death, each link conditioning the next in a cycle that, left unexamined, simply repeats itself across successive lives. The teaching's practical point is that this chain, precisely because every link depends on a prior one, can be broken by removing any one of its conditions, most directly by uprooting craving and ignorance, the links traditionally identified as most tractable to deliberate practice, which is why the doctrine functions as much as a program for liberation as a piece of metaphysics.
Nagarjuna's later Madhyamaka philosophy pushed the principle to its furthest generalization, arguing that dependent origination applies not only to the specific chain producing suffering but to absolutely everything without exception, and that this universal dependence is exactly what emptiness, sunyata, means: nothing has a fixed, independent nature, because everything, without remainder, arises only in dependence on something else.