AI-generated conjecture · below the evidence/publication boundary
← All conjectures · Texts, scribes & transmission
Heaps' law in clay
Status: No prior located
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)
Heaps' law in clay. Heaps' law — the corpus-linguistics regularity that a collection's vocabulary grows as a sublinear power of its size — is here applied to the oldest writing system on earth. Cuneiform's inventory of distinct signs should grow with corpus size along a Heaps curve, just as English word types do, because sign use and word use are driven by the same heavy-tailed frequency structure. The conjecture's sharper edge is historical: the Heaps exponent measures how freely writers admit rare signs, so when Old Babylonian scribal schools standardized the curriculum — drilling fixed sign lists into every student — the exponent should collapse, visibly flattening the vocabulary-growth curve for corpora written after standardization. The digitized CDLI corpus is large enough to fit the curve period by period and watch that collapse happen.
Prediction clause (verbatim)
For each chronological period in the digitized CDLI corpus, sample transliterated texts in increasing volumes, count distinct signs against cumulative corpus size, and fit the Heaps exponent per period. Primary clause: the growth curves obey a Heaps power-law form throughout (fit not rejected), and the post-standardization Old Babylonian exponent is lower than the pre-standardization exponents by at least 25 percent; an exponent that holds steady or rises across the Old Babylonian school standardization kills the conjecture. The verdict follows the primary clause.
Kill-dataset (verbatim)
the digitized CDLI corpus.
Nobody has run this test.
The kill-data is named above. If you can run it — or you know the paper that already settles it —
claim the kill or submit the prior scholarship.
Kills and prior scholarship are credited here, by name, as they come in.
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: Imported conversation (verbatim harvest)
· model: claude-fable-5
Origin: operator conversation with Claude Fable 5 at max effort, conducted 2026-07-03, relayed verbatim by the operator into the shepherd session on 2026-07-04. No ModelRun exists for the original generation (it happened outside the pipeline); this transcript file is the canonical capture. Transcript path: docs/generated/conjecture_harvest_fablemax_20260703.md. Model (operator-attested, not pipeline-recorded): claude-fable-5. Novelty disclaimer (verbatim, load-bearing -- rule 4): "Same caveat as before, doubled: at 100 items across all of archaeology and history, some of these will have cousins in the literature I can't check. What I can guarantee is the format — each links two things not normally linked, and each names the dataset or measurement that would kill it."
Novelty / leakage triage
no prior formulation located (search dated 2026-07-04)
Heaps'/Herdan's law is well studied across corpora and even non-linguistic domains, but no application to cuneiform sign inventories was located, nor the sharp secondary claim (exponent collapse at Old Babylonian school standardization). No prior formulation located (search dated 2026-07-04). NOTE: unresolvable in-house — Phase A confirmed CDLI transliterations (sign-level text) are not held locally; catalogue metadata only.
Predictions
Open
registered 2026-07-04
OPEN prediction (in-house resolution impossible — CDLI transliterations confirmed not held): the cuneiform sign inventory grows with corpus size by Heaps' law (V = K*N^beta, 0 < beta < 1), and beta drops discontinuously across the Old Babylonian school-standardization transition.
Resolution criteria: Resolvable against public sign-level corpora (CDLI/ORACC transliterations) by computing type-token growth curves within period strata. SUPPORTED if the growth fits a sublinear power law (R^2 >= 0.95 on log-log) in every period stratum AND the fitted beta in post-standardization Old Babylonian strata is lower than in pre-standardization strata by more than the bootstrap 95% interval width. KILLED if vocabulary growth is linear or exponent-stable across the standardization transition.
Known priors disclosure: No sign-level data in-house (Phase-A finding: catalogue metadata only). The registrant holds the general prior that type-token curves are near-universally sublinear — hence the kill condition is pinned to the sharper standardization-collapse clause, not to sublinearity alone.
Weigh in
No community feedback yet.
New here? Create an account first
Create an account or sign in
and your feedback is tied to you — you can track it, get replies, and claim this conjecture
so others know you’re working on it. Prefer not to? Just leave your take below as a guest
— only the name you type is shown.
Add your take
Posted immediately (spam is removed). Community feedback is never an adjudicated verdict and
never changes this conjecture's triage label or status above.