Hylaean Theoric World

The Hylaean Theoric World is treated as a realm of ideal theoric objects—perfect forms not located in space or time. Traditions associate its first clear articulation with the upsight of Cnous and the interpretation taught by Hylaea; early accounts remember organized inquiry at Orithena. 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. Physical diagrams and measurements are representations only; they are not the theorical objects themselves.

Context and Usage

• Within the Mathic World, it is a common frame for talking about what proofs are “about,” and why distinct notations can point to the same truths.
• In recent dialog conducted extramuros (outside the walls), avout explicitly refer to mathematical objects in the Hylaean Theoric World when contrasting pure theorics with practical belief and devotion.

Debates and Interpretations

• Some lines of thought influenced by Sconic arguments hold that certain topics are out of bounds for productive reasoning; others counter that pure theorics lets minds relate directly to non‑spatiotemporal objects when they prove theorems. Current remarks keep this as a working stance rather than doctrine.
• The idea is also used to explain why geometry and formal proof can function as a shared medium that bypasses language when communicating abstract truths.

Notes

• Usage varies across texts: some describe the Hylaean Theoric World figuratively (as a way of speaking about universality in proof), while others treat it as a stricter assertion about the reality of ideal forms. The narrative preserves this ambiguity.

Related

• Lineage and naming: linked in tradition to Cnoüs’s vision and Hylaea’s teaching; early study remembered at Orithena.
• Sphere of discourse: widely referenced inside maths and occasionally brought into conversations held extramuros.