Hylaean Theoric World

The Hylaean Theoric World is treated as a realm of ideal theoric objects—perfect forms not located in space or time. The name denotes a conceptual, not physical, place.

Definition

• A domain of ideal objects (for example, the pure triangle) about which absolute statements can be proved.
• Described as non-spatiotemporal; drawn figures and measurements are representations only, not the theorical objects themselves.
• Common abbreviation: "HTW."

Context and Usage

• Within the Mathic World, avout use the HTW to explain what proofs are "about," why different notations point to the same truths, and how formal results can be shared across languages.
• Teaching and discussion often invoke a schematic "two-box" diagram: one box for the HTW, one for "this cosmos," with an arrow from the HTW to the other. The arrow is variously glossed as information flow or a cause-and-effect relation.
• In conversations held extramuros, the HTW is referenced when contrasting pure theorics with practical belief and devotion, or when considering how abstract truths might communicate across cultural or linguistic divides. See also Extramuros.

Debates and Interpretations

• Aboutness and measurement: some argue that if minds think about theorical objects, then measurable brain activity reflects information arriving from the HTW; others find this framing questionable or prefer to bracket it.
• Aboutness and the Split: after the Reconstitution, debate about "Aboutness" hardened into faculty labels at the Concent of Saunt Muncoster—for example, The Syntactic Faculty (linked to Procian/Faanian stances) emphasized syndevs processing digits without true aboutness, while The Semantic Faculty (tracing to Saunt Halikaarn and often citing Evenedric) held that thoughts can have real semantic content and that minds can apprehend ideal forms in the HTW.
• Relation to polycosmic views: classical two-box talk aligns with simple Protism, while "Complex Protism" generalizes the diagram to multiple cosmi connected by arrows that never loop (a directed acyclic graph). In that view, our cosmos may be one node in a larger web through which information percolates.
• Status: The text preserves ambiguity, presenting the HTW as a useful frame for universality in proof without asserting doctrine about ontology.

Related Terms

• Origins and naming: linked in tradition to the upsight of Cnous and the interpretation taught by Hylaea; early organized inquiry is remembered at Orithena.
• Dictionary usage: "Semantic Faculties" (compare "Syntactic Faculties") is a label for factions that claim descent from Halikaarn; some trace the idea to Protas and earlier to Hylaea.
• Associated metatheorics: Protist and "complex" protist framings are used to compare two-cosmos versus multi-cosmi models involving the HTW.

Notes

• Some avout—especially Procian/Faanian ones—characterize belief in the HTW as basically a religion; others present it as a theoric frame. Usage and emphasis vary across Orders and individuals.