One Thousand and One Conjectures

An abecedarium — a written-out sequence of an alphabet in its canonical order — is copied and taught from teacher to pupil down the generations, and each retransmission risks small changes to the order: a transposition, an inserted letter, a dropped one.…

Island biogeography famously finds that the number of species an island supports scales with its area as a power law, S = cA^z, with a characteristically shallow exponent. The claim ports this law to writing: a region is an “island” for scripts,…

The modern capital campaign — where a museum or university secures a headline anchor gift or star acquisition just before asking everyone else for money — is here read back into the medieval church. Relic translations, the ceremonial installation of a saint's…

Currency unions are supposed to be a modern invention, and low variance in the unit of account is their hallmark: struck coinage keeps its weight uniform because mints are policed. The trans-Saharan trade, by contrast, ran for centuries on bars of rock…

The Aṣṭādhyāyī, Pāṇini's fourth-century-BCE grammar of Sanskrit, achieves its legendary brevity partly through rule ordering: later rules silently inherit terms from earlier ones (anuvṛtti), so the total length of the grammar depends on the sequence in which its roughly four thousand rules…

Herodotus reports distances for places he never saw, relayed to him through chains of informants stretching away from the Aegean. Each retelling plausibly multiplies an estimate by some random factor — a merchant rounds up, a guide exaggerates, a translator garbles —…

The Tabula Peutingeriana, the famous medieval copy of a Roman route map, was almost certainly compiled from multiple earlier itineraries rather than drawn from any single survey. Each source itinerary would carry its own error habits — its own units, rounding conventions,…

Rongorongo, the undeciphered glyph system of Easter Island, does not have to be read to be classified: its sequence statistics can be compared against the signatures of known genres. Recitation genealogies and chants — well attested in Polynesian tradition — have a…

As chess spread from India across Eurasia, both its objects and its rules mutated regionally: the piece carved as an elephant in the Islamic world became the bishop in Europe, and the moves themselves varied between documented regional rule sets. Linguistics maps…

This joins medieval craft practice to modern acoustics. An organ builder must decide how pipe diameter should vary with pipe length across a rank — too narrow and the trebles turn thin and stringy, too wide and the basses go dull —…

This joins historical linguistics to campanology. Dialectologists map isoglosses — the boundary lines where one regional speech feature gives way to another — and those lines famously follow the channels of contact: rivers, roads, trade routes. Bell founding, the conjecture claims, worked…

This joins medieval fiscal instruments to information theory. An Exchequer tally was a wooden stick notched with a debt's value and then split lengthwise, creditor and debtor each keeping half; the split's matching grain already authenticated the pair. The conjecture claims the…

This joins the mysterious accuracy of medieval portolan charts to the statistics of error averaging. Portolans appear in the late 13th century already startlingly accurate, with no known surveying campaign behind them; the conjecture's explanation is that they are averaged compass logs…

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…

Joins process-engineering labor accounting to Viking naval history. Tally the person-hours in a longship and the surprise is that the hull is the cheap part: replication labor budgets show a large woolen sail — the wool sorted, spun thread by thread, woven,…