Ars Inquirendi

AI-generated conjecture · below the evidence/publication boundary

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The theater fraction

Status: Already answered

Status is derived only from the shepherd-authored triage/prediction data above -- community submissions and claims are a separate overlay and can never change it (see the participation panel below).

This is a proposed connection between two domains, generated by a language model. It is not an article and not evidence: it sits below the evidence/publication boundary. A quantitative prediction and a named kill-dataset are attached (when registered) so the claim stays falsifiable rather than merely evocative.

Claim (verbatim)

The theater fraction. Service-capacity planning sizes a facility to a fixed fraction of the population it must serve at peak; this conjecture claims Greek cities did the same with their theaters. If theaters were built to seat a set percentile of the citizen body — a shared civic capacity rule — then seat counts are a fossilized census, and the ratio of theater capacity to city population should be nearly constant across the Greek world. Across dozens of poleis with measured capacities and independent population estimates, that ratio should cluster tightly in the 0.10-0.20 band, with scatter markedly tighter than the loose population-to-walled-area scaling on the same cities — making seats a sharper demographic proxy than walls or any other urban size measure. Pan-Hellenic sanctuary theaters, sized for festival crowds rather than resident citizen bodies, should stand out as extreme outliers — the exception confirming the rule. Scatter as wide as the other proxies kills it.

Prediction clause (verbatim)

Across >= 30 poleis with measured theater capacity and independent population estimates, the ratio of capacity to estimated total population clusters in 0.10-0.20 with a coefficient of variation <= 0.35, tighter than the CV of population-to-walled-area scaling (>= 0.5) on the same cities; pan-Hellenic sanctuary theaters stand out as > 3-sigma outliers. Scatter as wide as other proxies kills it.

Kill-dataset (verbatim)

Kill: the Ancient Theatre Archive capacity measurements joined to population estimates in Hansen's Inventory of Archaic and Classical Poleis.

On Inferpedia

This conjecture has been linked to the following subject pages on Inferpedia — an encyclopedia of the missing, now in limited preview.

Provenance

Run: Fresh agent generation · model: claude-fable-5

Generated by a fresh Fable-tier instance at maximum effort with generation-first blindness (no repo/web/DB access); titles-only knowledge of existing items, embedded in titles_supplied per the batch-2 lane rule; prompt pre-committed in docs/GOAL_CONJECTURES_BATCH3_20260705.md (b043140). Novelty unverified by construction. titles_supplied stripped to the committed sidecar conjecture_fresh_fablemax_batch3_titles_supplied_20260705.md at import (schema additionalProperties:false; relaxation queued).

Novelty / leakage triage

already answered in the literature

A near-direct precedent exists: a settlement-scaling study of entertainment-structure capacities across 238 Roman-Empire sites explicitly treats seating capacity as a population proxy and reads deviations as socio-economically meaningful — the conjecture's move on the same object class. The Greek-polis-only band, CV comparison, and sanctuary-outlier clauses were not located, but the connection is published.

Predictions

No prediction registered yet.

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