Two different ways of viewing DO, the process of origination itself (paṭiccasamuppāda) or that which is originated ( paṭiccasamuppanne). I had a (brief) online dialogue here with Ven Sujato a while back that touches on the differences between framing DO as the process itself in the abstract (paṭiccasamuppāda) and describing DO via the dharmāḥ themselves that are arisen (paṭiccasamuppanne, which is how it is described in the āgama-parallel to SN 12.20, the Pāli sutta which I assume inspired this post, given its opening line).
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