One Thousand and One Conjectures

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 —…

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.…

When binders needed stiffening material they cannibalised old manuscripts, cutting them into the waste fragments now recovered from bindings. The naive model treats this as physical wear-out — books used until they fell apart — which would produce a smooth aging hazard.…

Guido of Arezzo's staff notation — the 11th-century invention that fixed pitches on lines rather than leaving them to memory-jogging squiggles — is here treated as an error-correcting code, and its effect on transmission is claimed to be discontinuous rather than gradual.…

Radiocarbon dating works because decay happens at a constant rate; the conjecture is that manuscript copying does too. Scribes make errors, and within a single scriptorium — same training, same exemplars, same working conditions — the rate of new errors introduced per…

Stemmatics — reconstructing the family tree of manuscripts from shared copying errors — is here fused with computational astronomy. A dated horoscope is a calculation: the astrologer looked up planetary positions in one specific physical copy of a set of astronomical tables…

Information theory meets Homer: the stock formulas of oral epic — the swift-footed heroes and wine-dark seas — are here interpreted as redundancy bits, the padding a noisy channel needs to protect its payload. In transmission over fallible human memory, the hard-to-recover…

Two transmission technologies for Sanskrit ran side by side for centuries: the mnemonic machinery of Vedic recitation — interlocking recitation modes and error-checking permutations built to preserve the Rigveda syllable-perfect — and ordinary manuscript copying, which carried texts like the Mahābhārata. Philologists…

Chinese court astronomers recorded celestial omens for two millennia, but they worked for a state in which comets and eclipses bore directly on the Mandate of Heaven — so the record was politically sensitive by construction. Korean, Japanese, and Arabic astronomers watched…

Among the ostraka cast against Themistocles, a famous deposit of 190 sherds turned out to have been inscribed by just a few hands — prepared ballots, evidently readied for distribution to voters. The conjecture generalizes this find into a testable model of…

The walls of Pompeii preserve genuine written conversations: graffiti that answer, mock, and extend earlier graffiti on the same surface, recorded in CIL IV. Modern online forums show a robust statistical signature in how such exchanges unfold — the distribution of reply…

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…

Joins capture-recapture ecology to Greek philology: ecologists estimate how many species they have never seen from the ratio of species observed exactly once to species observed exactly twice, and the same arithmetic applies to books. Each surviving witness to a Greek work…

Joins the cognitive psychology of recall to the stemmatics of oral law. The serial-position curve is among psychology's oldest findings: in reproducing a fixed sequence, people hold the beginning and end best and blur the middle. Iceland's law was exactly such a…

The cutting-stock problem of operations research — how to cut standard stock into pieces with minimal waste — meets codicology. This conjecture holds that parchment page sizes were not aesthetic free choices but near-optimal cuts of animal skins: a skin is a…

Technology-diffusion theory describes adoption lags that collapse as a transmission channel routinizes; this conjecture measures that lag curve in Timbuktu codicology. Between 1400 and 1600 the Sahara's intellectual bandwidth tripled: pilgrimage traffic, commercial caravan routes, and the rise of Sankore scholarship turned…

Capture-recapture statistics estimate a population's size from the overlap between independent samples — tag fish, resample, count the recaptures. This conjecture treats the great Sanskrit subhashita anthologies — the Subhashitaratnakosha, Saduktikarnamrita, and Sharngadharapaddhati — as quasi-independent samples drawn from a floating ocean…

Packet-switched content distribution splits a file into chunks that travel independently and reassemble at the destination; the medieval university book trade did the same with texts. Under the pecia system, stationers chunked an exemplar into pieces rented out separately, so a single…