Directed Acyclic Graphs

Definition

Directed Acyclic Graphs (DAGs) are described in current discussion as diagrams of labeled boxes (nodes) connected by one‑way arrows such that the arrows never go round in a circle. They are used to depict one‑directional relationships like information or causal influence between domains.

Context and Usage

• The term appears in a calca recalling a remark by Suur Uthentine to Fraa Erasmas, when a familiar two‑box figure—one box for the Hylaean Theoric World and one for this cosmos, with an arrow from the former to the latter—was identified as a DAG.
• This upsight helped motivate a generalization sometimes called “Complex Protism,” which extends the simple two‑box picture of Protism to many boxes and arrows, still without cycles, modeling a web of cosmi through which information percolates in one direction. In that framing, some cosmi are described as “up‑Wick” (sources) and others “down‑Wick” (receivers).
• The association to DAGs is presented informally in dialogue rather than as a formal treatise; it is offered as an explanatory tool for thinking about how theorical information might move among domains.
• The Baritoe tradition is explicitly named: Uthentine and an earlier Erasmas are credited with developing this multi‑node view at Baritoe; the idea is discussed again by traveling avout including Fraa Erasmas during preparations related to a large Convox.

Related Terms

• Hylaean Theoric World — ideal theorical objects and forms invoked in the two‑box picture.
• Protism — the two‑domain baseline that Complex Protism generalizes.
• Fraa Erasmas — named as a co‑developer (with Uthentine) in historical notes, and present in the current retelling.
• Baritoe — the concent credited with fostering this generalization.
• Convox — the rare assembly context during which the DAG framing is discussed.

Notes

• Classification dispute is acknowledged: one speaker asserted the canonical two‑box diagram was “something else entirely,” while another insisted it was a DAG. The narrative preserves this ambiguity.
• No formal axioms or proofs are provided in‑text; “DAG” functions here as a descriptive label for diagrams whose arrows do not form cycles.