One Thousand and One Conjectures

A scribe copying from an exemplar in front of him makes errors of the eye — confusing letters that look alike — whereas a scribe taking down a text read aloud, as in dictation or the pecia system of mass university production,…

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…

The backward-bending supply curve — the textbook anomaly in which workers with an income target respond to falling prices by working more, not less — is here joined to the fate of Norse Greenland. The colony's export staple was walrus ivory, and…

This joins Gothic cathedral construction to the economics of competitive escalation — the same arms-race dynamics seen in armament races and advertising wars. A cathedral's height was a prestige signal aimed at specific rivals, and the relevant rivals were local: the sees…

This joins medieval church archaeology to geomagnetism. Churches were meant to face east, yet surveyed orientations scatter by several degrees, and the scatter is usually written off as sloppy surveying. But once the magnetic compass entered the building trades — plausibly around…

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…

Markowitz's portfolio theory says diversification pays exactly when the assets you spread across are weakly correlated — variance falls fastest where covariance is low. The medieval open-field system's scattered strips, a puzzle ever since they were read as peasant insurance, are a…

RT60 — the time a sound takes to decay by sixty decibels — is the basic figure of architectural acoustics, and a great stone nave can hold a note for many seconds; a fast syllabic melody blurs into mud in such a…

The deep blue of medieval stained glass comes from cobalt, and medieval Europe mined very little of it: the colorant travelled along long-distance routes whose ultimate sources lay far to the east. Every ore body carries a trace-element fingerprint — the ratios…

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,…

Vertical-monopoly pricing from industrial organization shows that a chain of independent monopolists along one route charges more in total than a single owner would, because each ignores the damage its markup does to the others' traffic. This conjecture reads the toll castles…

Connects the runic acrostic signatures of Cynewulf — a poet who engineered personal credit into his verse — to oral-formulaic theory's central variable: a poet composing for written attribution has an incentive not to sound like everyone else, while anonymous traditional composition…

Joins skaldic poetry's survival to a citation-driven preservation model: drottkvaett stanzas were too dense to read for pleasure once the courts that paid for them dissolved, but sagas and kings' lives needed them as evidence — quoted testimony anchoring prose claims —…

Connects the invention of the troubadour vidas and razos — the prose lives and song-explanations in the chansonniers — to an export-market failure: at home in Occitania the songs circulated inside a living performance scene that supplied all needed context, but the…

the Catena aurea project (begun 1263) was a supply shock to Aquinas's citation economy. Compiling it built him a personal bank of newly translated Greek patristic excerpts, so afterwards his Greek-father citation volume should jump discontinuously across all genres of his writing…

after about 1300 the working Aristotle of the arts faculties was a florilegium of exam-ready tags, not the translations. Oral disputation and examination rewarded fixed memorizable slogans, and once the popular auctoritates handbooks compiled them, the tag-list became the effective text —…

Medieval miracle collections record two great genres of wonder: the sick healed at the shrine, and the distant devotee — the drowning sailor, the chained prisoner — saved by invocation alone. The conjecture is that the mix is a strict function of…

Indulgences — remissions of penance measured in days and years — famously inflated across the later Middle Ages. The conjecture is that the inflation had exactly one source: canon law capped each bishop's grant at forty days, and that cap held, so…

Early medieval charters routinely ended by cursing violators — anathema, the fate of Judas, eternal fire — while later charters mostly dropped the curses. The conjecture is that the curse was a substitute enforcement technology whose use varied inversely with access to…

A 'noted breviary' packs the whole office, music included, into one volume — an engineering compromise, since choirs preferred specialized books. This conjecture claims the compromise has a demographic address: noted breviaries concentrate in areas of dispersed rural settlement and poor parishes,…

Written polyphony — music in independent parts — appears in some institutions and not others, a distribution usually explained by artistic ambition. This conjecture explains it administratively: notated polyphony arises only in institutions that had already individuated their personnel accounts — paying…

An archive fire or a viking sack is usually where a documentary story ends; this conjecture makes it where one begins. A house that lost its muniments still held its lands — and now held them without proof — so documented archive…

This conjecture joins the chronology of English famines to the typology of English charters. In subsistence crises smallholders sell land to eat, and the buyer of a desperate seller insists on parchment precisely because hungry men's kin come back to court later;…