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Calibrated knucklebones
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).
Claim (verbatim)
Calibrated knucklebones. The astragalus — the ankle bone of a sheep or goat — was the everyday die of Greek and Roman gaming, and unlike a cube it is honest about its dishonesty: its four usable faces land with very different frequencies, broad faces often, narrow faces rarely. The attested scoring systems assigned those faces conspicuously unequal values, and the conjecture sharpens the old observation that rare throws scored well into a quantitative law: throw scores are inversely proportional to the empirically measured face probabilities, so that score times probability comes out roughly constant across the four faces. That is exactly how a bookmaker prices odds — the rarer the outcome, the more it pays, in proportion — which would make astragalus scoring an implicit act of odds-pricing two millennia before probability theory was written down. Toss experiments with real bones, set against the attested scoring, decide it.
Prediction clause (verbatim)
Toss a sample of astragali under standardised conditions to estimate the landing probability of each of the four faces, and compile the attested Greek and Roman score values per face. Primary clause: across faces, score is inversely related to measured probability, with the product of score and probability constant to within a factor of 2 across all four faces (equivalently, a log-score on log-probability regression slope of -1 plus or minus 0.35). The verdict follows the primary clause.
Kill-dataset (verbatim)
toss experiments vs attested scoring.
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
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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
anticipated in the literature — this exact test has never been run
The qualitative direction is established knowledge: astragalus faces land with unequal frequencies (~4:4:1:1) and attested scoring assigns higher values to the rarer narrow faces; the history-of-probability literature (Bellhouse) discusses period reasoning about weighted astragali. The quantitative proportionality test — controlled toss experiments against the attested scoring table — was not located as performed.
- Bellhouse, 'The Role of Dice in the Emergence of the Probability Calculus', International Statistical Review — Historical probability treatment of weighted astragali
Predictions
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