One Thousand and One Conjectures

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…

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…

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,…

This joins the Dresden Codex — the finest surviving Maya astronomical manuscript — to the mathematics of best rational approximation. The codex's Venus table tracks the planet with a canonical 584-day period, but the true synodic period is close to 583.92 days,…

Al-Sufi's Book of Fixed Stars transmits each constellation in two mirror parities — as seen in the sky and as on the celestial globe — and copies differ in how the pairing survives. Painters copy their exemplar's pictures, so parity should be…

The earliest medieval annals are laconic year-entries, and many survive physically attached to Easter tables — the computistical grids monks kept for finding the date of the feast. The conjecture makes the attachment causal and testable: annal-keeping began as marginal annotation of…

Liturgical books wore out, but this conjecture claims their replacement was scheduled rather than merely occasioned: because service books traveled with computus material whose Easter tables expire on 19-year and 532-year cycles, houses recopied their choir books when their tables ran out,…

The liturgical year is two interlocking gear trains — the fixed saints' calendar and the movable Easter cycle — and occasionally they jam spectacularly, as when the Annunciation falls in Holy Week. This conjecture claims the written genre that governs such conflicts,…

Byzantium wrote military manuals — the taktika and strategika — for a thematic citizen army run by generals called strategoi. This conjecture says the manual died with the payroll: new witnesses of military manuals track the administrative life of the thematic armies,…

Greek astronomy — Ptolemy and his commentators — survives in copies made at very uneven intervals. This conjecture says the sky set the schedule: new witnesses of the astronomical corpus cluster in the decade after spectacular, chronicle-attested celestial events, because a comet…

Byzantium preserved small treatises on land surveying and fiscal arithmetic — unglamorous texts with an unexplained copying rhythm. This conjecture says the state's tax cycle set that rhythm: new witnesses cluster around documented cadastral campaigns, the great re-measurements attested by surges of…

Greek medical compendia — Galenic handbooks, hospital recipe books — were copied in bursts. This conjecture says the bursts ride hospital endowments: new medical witnesses cluster in the decades after the foundation or refoundation of endowed xenones, most visibly the Pantokrator hospital…

Recopying frequency should be set by consultation frequency: a text checked constantly wears out and is replaced on a shorter clock than a text recited from memory or shelved for prestige. Jyotiṣa — the astral-science literature used for calendars, horoscopes, and the…

Every locality in pre-print South Asia needed a fresh calendrical almanac every year, produced by the thousands for immediate use — plausibly the highest-volume written genre of the subcontinent. Yet consumables do not enter archives: an expired pañcāṅga is waste palm-leaf, while…

Annotation is costly attention, and readers spend it where error hurts: a wrong drug dose or a wrongly timed rite has consequences that a wrong poetic reading does not. Marginalia and correction density should therefore rank genres by practical stakes — medicine…

The zero digit is celebrated as a triumph of Indian mathematics and astronomy, yet the earliest securely dated zero symbols known anywhere survive in seventh-century Southeast Asian inscriptions, including the Khmer stone conventionally cited as bearing a śaka date of 605 (683…

The physical Maya codices are Postclassic objects, but astronomical tables must anchor themselves to absolute dates, and anchors fossilize: a copied table drags its original entry dates along with it, patched by correction increments rather than recomputed from scratch. So the distribution…

An eclipse-warning table of the sophistication preserved in the Dresden Codex cannot be built from one generation of skywatching: fixing long lunar cycle constants to the precision the table embodies structurally requires observational records spanning centuries. That requirement is an existence proof…

An astronomical table carries a radix — a set of starting positions computed for a chosen epoch date, the zero point from which all its numbers count. The surprising connection is that radix dates are political artifacts, not scientific ones: they cluster…

A copied astronomical table inherits every error of its exemplar; a recomputed table refreshes them. Whether a given copy was recomputed or merely transcribed is usually treated as scribal temperament, but the surprising connection is that it is infrastructure: recomputation requires a…

An incipit — the opening words by which a medieval text was cited, catalogued, and sold — behaves like a fossilizing tag, but not all genres fossilize at the same rate. The surprising connection is that astronomical incipits mutate far more slowly…

The great medical handbooks were repeatedly abridged into epitomes, and the epitomes were then stuffed with new matter — this much is familiar. The surprising connection is that the process is a regular two-phase pulse with a stable ratio: first-generation epitomes cut…

Middle English medical writing is routinely described as translated 'from the Latin tradition', as if the whole Latin corpus fed it. The surprising connection is that the vernacular tapped almost exclusively the short-text layer — epitomes, compendia, and extracts — rather than…

The Almagest, the central book of ancient astronomy, rarely travels alone in its manuscripts. The surprising connection is that each translation version travels with its own characteristic convoy of satellite texts — introductions, canons, star-lists — stable enough that a codex's translation…

The standard picture has Hindu-Arabic numerals entering Latin Europe through algorism treatises — books that explain the new arithmetic. The surprising connection is that the zero sign appears earlier and more consistently in Latin astronomical TABLES than in Latin arithmetical texts: the…

Mappae mundi look like pictures copied from pictures, and their genealogies are usually drawn accordingly. The surprising connection is that their place-name errors are textual, not graphic: omissions cluster in runs of names that are adjacent in written geographies but scattered on…

Copyists of world maps worked outward from the ideologically loaded centre, and their attention decayed with radius. The surprising connection is that copying fidelity on mappae mundi is therefore a radial function: error and omission density rises with distance from the map's…

Medieval sundials carry engraved hour-lines and hour labels, and computus manuals — the church's timekeeping textbooks — supplied the vocabulary. The surprising connection is that dial epigraphy tracks textbook succession: when a new computus text achieves dominance in a region's schools, the…

The documentary horoscopes preserved on Greek papyri were computed from astronomical tables, and we can now recompute which ones. The surprising connection is that provincial practitioners used systematically OBSOLETE tables — one to two parameter-generations behind the best contemporary theory — with…

In Greco-Egyptian astronomical papyri, prose and numbers did not switch languages together. The surprising connection is that the tabular matter is the conservative organ: layouts, notational habits, and month-name treatments of the Egyptian (Demotic) tradition persist in tables for generations after the…

Pharmacological recipe collections grew by accretion as owners added what they acquired — this is agreed. The surprising connection is positional: the shared ancestral core of a collection sits at the HEAD, while witness-specific additions cluster at the tail and margins, because…

Our canon of ancient medicine is defined by the great treatises the medieval codex tradition chose to preserve. The surprising connection is that the ground-level papyrus record is dominated by a different textual form entirely: catechistic question-and-answer texts, definition lists, and short…

The Toledan Tables were the most copied astronomical dataset of the Latin twelfth and thirteenth centuries, and their witnesses contain identifiable corrupt entries. The surprising connection is that these corruptions form geographic clades: bundles of shared errors mark descent from common exemplars,…

Translation between the scientific languages was not one flow but a ladder of genre-specific speeds. The surprising connection is the ordering: calendrical and computus material crossed a language frontier within roughly a generation, practical table canons within about two, and theoretical astronomy…

A mappa mundi has two inheritable layers: the drawn and written content, and the construction geometry laid down before any ink — compass-hole centres, ruled circles, division angles. The surprising connection is that these layers travel separately: physical workshop templates passed between…

The precision of a copied astronomical table was set not by science but by carpentry: the ruled grid of the page. When a scribe copied a table into a grid ruled for fewer or narrower columns than his exemplar used, the final…

Some scientific content circulated in both prose and mnemonic verse — versified computus, versified algorism, versified regimen. The surprising connection is that the verse versions systematically out-diffused their prose sources into regions of thin book culture, so the verse-to-prose witness ratio of…

The twelfth-century Sicilian translations of Greek astronomy directly from the Greek were textually superior to their Arabic-Latin rivals, yet barely circulated — the fact is known, the shape of their survival is not. The surprising connection is that where the Greek-Latin versions…

A zij — the astronomical handbook built around tables — is modular: syzygy and eclipse tables, planetary equations, a star catalogue, geographical tables. The surprising connection is that the modules cross language frontiers in a canonical order, repeated at every frontier: eclipse…

Medieval books were sold, shelved, inventoried, and censored by their first lines. The surprising connection is that alchemical texts exploited this: they circulated under medical-looking incipits — openings promising waters, oils, and the conservation of the body — at rates far exceeding…

Distances cut into itinerary stones and painted into map legends ought to be independent measurements of the world. The surprising connection is that they share scribal corruptions with the written itinerary tradition: numeral errors born on papyrus and parchment were carved into…

The uroscopy wheel — the circular diagram of graded flask colors that is medieval medicine's most recognizable image — normally appears embedded in a treatise, and editors assume image and text descended together. The surprising connection is that the wheel travels on…

The university pecia system rented out exemplar quires for piecework copying and is credited with standardizing the scholastic book. The surprising connection is that it moved prose but choked on tables: astronomical codices produced under pecia show split ancestry, their prose affiliating…

The Astronomical Diaries of Babylon, kept from the seventh century BCE to the first century CE, are the longest scientific observation program on record; their gaps are usually blamed on broken tablets and cloudy skies. Modern climatology reads gaps differently: the missing-data…

The study of ancient dice and astragali uses simple uniformity statistics to ask whether the randomizer was fair; the same tests have rarely been turned on the texts the randomizers pointed to. The Sortes Astrampsychi — antiquity's bestselling fortune-telling handbook, preserved on…

Thirteenth-century Paris and seventh-century-BCE Babylon both ran commentary industries: the scholastics cited Augustine and Aristotle; Babylonian scholars wrote tablets explicating the omen series and lexical lists, citing canonical works by incipit and invoking other scholarly traditions. The Latin side has been quantified…

Cartometry treats an old map as a measurement instrument gone slightly wrong: regressing portolan-chart positions on true coordinates recovers the error structure, and the error structure identifies the sources. Islamicate civilization left an even better target than charts — thousands of city…