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algebra

A mathematical discipline whose English name travels through Medieval Latin from Arabic al-jabr, restoration or completion.

algorism

The older English word for calculation with Hindu-Arabic numerals, transmitted through French and Medieval Latin from the name al-Khwārizmī.

algorithm

A finite or stepwise procedure, descended through medieval arithmetic vocabulary from the Latinized name of al-Khwārizmī.

alpaca

An English animal and fiber word borrowed through Spanish from Aymara allpaqa / allphaqa.

noun combining formcontrarian claim

-logy

A bound English word element used in formations involving discourse or expression and in names of doctrines, theories, sciences, and fields of study.

onomastic compound elementcontrarian claim

-rīx

An attested Gaulish second member meaning “king” or “prince,” visible in compound personal names such as Dumnorix and Vercingetorix and inherited from Proto-Celtic *rīx-s.

nouncontrarian claim

December

The twelfth month in the modern calendar; its inherited Latin name literally identifies it as the tenth month.

German masculine noundossier summary

The modern German noun for a personal, political, military, or ideological enemy or opponent. Duden derives it through Middle High German vīnt or vīant and Old High German fīand, literally the hating one; DWDS dates Old High German fīant and fījant to the eighth century and identifies the Germanic ancestor as a petrified substantivized present participle. Grimm’s dictionary independently compares Gothic fijands, Old English fēond, English fiend, Dutch vijand, and Nordic forms, while warning that its own still-deeper foam hypothesis required confirmation. The reviewed route therefore follows the inherited enemy noun to reconstructed *fi(j)and- and *fi(j)ēn-, then treats *peh₁- as proposed and stops.

German masculine nouncontrarian claim

Freund

German Freund continues Middle High German vriunt and Old High German friunt. DWDS/Pfeifer, Duden, and Grimm independently analyze the inherited Germanic formation as a substantivized present participle of the verb represented by Gothic frijōn and Old English frēogan: historically a loving or favorably disposed one. The record is semantically wider than a modern close companion: the historical dictionaries also document neighbor, relative, lover, ally, supporter, patron, address, and euphemistic uses. The graph joins the High German line to the same reviewed *frijōnd- and *frī- nodes as English friend, keeps *prī- proposed, and stops.

German masculine nouncontrarian claim

Hass

The modern German noun for intense aversion, rejection, or hostility toward a person, group, or institution. Duden traces Middle and Old High German haʒ to suffering, sorrow, and resentment and records the 1996 spelling change from Haß to Hass. DWDS/Pfeifer reports the Old High German noun from the eighth century and places it in the Germanic family of Old Saxon heti, Old English hete, Old Norse hatr, Gothic hatis, and related forms. Grimm’s DWB preserves a more complicated semantic record: hostile pursuit or action, anger expressed in deeds, ordinary hostile disposition, and even measured rivalry during friendly competition. The reviewed route reuses *hatiz- and the qualified *ḱh₂d-es- / *ḱeh₂d- comparison, then stops.

noundossier summary

adverb

A grammatical class commonly modifying verbs, adjectives, other adverbs, phrases, clauses, or sentences; the English term continues Latin adverbium.

nouncontrarian claim

aguacate

The Spanish word for the avocado tree and fruit, borrowed from Nahuatl āhuacatl, whose historical records include both fruit and testicle senses.

ATTESTED / RECONSTRUCTED / BOUNDARY

HISTORICAL FORMS

Classical Arabic / Afro-Asiatic

al-Khwārizmī

the Khwārizmian; name of Muḥammad ibn Mūsā al-Khwārizmī

DATE: 9th century
MATCH: historical-form prefix
DOSSIERS: 2

Classical Arabic / Afro-Asiatic

al-jabr

restoration, completion; an operation in equation solving

DATE: 9th century
MATCH: historical-form prefix
DOSSIERS: 1

Classical Arabic / Afro-Asiatic

al-šaṭranj

chess

DATE: early Islamic Arabic
MATCH: historical-form prefix
DOSSIERS: 0

algebra

a mathematical discipline of symbolic and structural relations

DATE: 1551–today
MATCH: historical-form prefix
DOSSIERS: 1

Medieval Latin / Indo-European

algebra

restoration; bone-setting; the mathematical art

DATE: 12th–16th centuries
MATCH: historical-form prefix
DOSSIERS: 1

algorism

calculation with Hindu-Arabic numerals; an arithmetic rule or procedure

DATE: early 13th century–today
MATCH: historical-form prefix
DOSSIERS: 1

Old French / Indo-European

algorisme / augorisme

the art of reckoning with Hindu-Arabic numerals

DATE: Old French, 12th–14th centuries
MATCH: historical-form prefix
DOSSIERS: 1

Middle English / Indo-European

algorisme / augrim

arithmetic using Hindu-Arabic numerals

DATE: 14th–15th centuries
MATCH: historical-form prefix
DOSSIERS: 2

Medieval Latin / Indo-European

algorismus

arithmetic; computation with Hindu-Arabic numerals

DATE: 12th–15th centuries
MATCH: historical-form prefix
DOSSIERS: 2

algorithm

a numeral procedure; later a finite stepwise procedure

DATE: 1699–today
MATCH: historical-form prefix
DOSSIERS: 1

Aymara / Aymaran

allphaqa

alpaca

DATE: Aymara historical and modern record
MATCH: historical-form prefix
DOSSIERS: 1

alpaca

the domesticated camelid; its fiber or cloth

DATE: 1747–today
MATCH: historical-form prefix
DOSSIERS: 1

WHERE INTERPRETATION IS TESTED

CLAIMS & DISPUTES

SCHOLARLY DISPUTES / 12

openprobableword prefix

Does the English record begin in the 13th or 14th century?

The reviewed reports differ. Etymonline gives an early-thirteenth-century algorism; Merriam-Webster gives a fourteenth-century first-known-use horizon.

openprobableword prefix

Did English algorism arrive through French or directly from Medieval Latin?

The sources preserve both channels. Merriam-Webster names Middle French and Medieval Latin; Etymonline emphasizes Old French from Medieval Latin.

2 CITATIONS / AUDIT ↗algebra DOSSIER ↗

resolvedestablishedword prefix

Did algebra originally mean symbols and variables?

No. Al-jabr named restoration or completion, including a specific equation-solving operation; the word later expanded to the discipline.

resolvedestablishedword prefix

Is the bone-setting sense a fake folk story?

No. Arabic and Romance transmission includes reunion of broken parts and bone-setting. That real medical sense should not be confused with the mathematical title history.

1 CITATIONS / AUDIT ↗algebra DOSSIER ↗

resolvedestablishedword prefix

Was algorithm the original form and algorism a corruption?

No. Algorism is older. Algorithm is the later altered form, with its th commonly explained through Greek arithmos or arithmetic influence.

2 CITATIONS / AUDIT ↗algorithm DOSSIER ↗

resolvedprobableword prefix

Is algorithm originally a Greek mathematical word?

No. The lexical line reaches the Arabic name al-Khwārizmī through Medieval Latin. Greek arithmos likely influenced the later spelling, but it is not the source of the name.

resolvedestablishedword prefix

Does the word commemorate an abstract concept or a person?

It ultimately reflects a geographic personal name, “the Khwārizmian,” which became attached to transmitted arithmetic.

1 CITATIONS / AUDIT ↗algorithm DOSSIER ↗

resolvedestablishedword prefix

Was algorithm first used in 1699 or 1926?

Both dates describe different editorial claims. Oxford/MacTutor reports the spelling in 1699 for numeral calculation; Merriam-Webster gives 1926 for the currently defined finite-procedure sense.

2 CITATIONS / AUDIT ↗algorithm DOSSIER ↗

resolvedestablishedword prefix

Do allpaqa, all-paka, and allphaqa imply competing origins?

No. The references use different editorial and official spellings for the Aymara animal word while agreeing on Aymara ancestry.

3 CITATIONS / AUDIT ↗alpaca DOSSIER ↗

openproposedposition text

Is the deepest root leǵ- or sleǵ-?

The traditional *leǵ- reconstruction remains widely represented, while published scholarship argues that the gather or collect root began with *s. The graph preserves both analyses.

3 CITATIONS / AUDIT ↗-logy DOSSIER ↗

openprobableposition text

Did -rīx mean exactly “king” in every compound name?

Not necessarily. The king or prince value is secure for the element, but scholarship distinguishes names where it is determinative from analyses in which it is semantically bleached or intensifying. Each host therefore requires its own compositional claim.

1 CITATIONS / AUDIT ↗-rīx DOSSIER ↗

openprobableposition text

Did English receive December through Old English or French?

The reviewed source allows either Old English or Anglo-French transmission from Latin and does not choose between them.

1 CITATIONS / AUDIT ↗December DOSSIER ↗

CONTRARIAN TRUTHS / 12

RANK 10GRADE Aranked-word prefix

Andean neighbors need not be linguistic cousins.

Alpaca comes from Aymara while llama comes from Quechua: the words travel through Spanish from different families.

4 CITATIONS / AUDIT ↗alpaca DOSSIER ↗

RANK 73GRADE Aranked-word prefix

Algorithm is the altered version; algorism came first.

The word began in al-Khwārizmī's geographic name. Greek arithmos later helped put “th” into algorithm without becoming its ancestor.

2 CITATIONS / AUDIT ↗algebra DOSSIER ↗

RANK 175GRADE Aranked-word prefix

Algebra named restoration before it named symbols.

Arabic al-jabr was an operation of restoring or completing an equation—and also had a real bone-setting history.

RANK 190GRADE Aranked-word prefix

Algorithm began as a person's geographic name.

Al-Khwārizmī—“the man from Khwārizm”—became Medieval Latin arithmetic, then modern procedure.

1 CITATIONS / AUDIT ↗algorithm DOSSIER ↗

RANK 1GRADE Aranked reveal

A stranger became both guest and enemy.

The reciprocal outsider behind guest and host also became Latin hostis, “enemy.”

2 CITATIONS / AUDIT ↗hostile DOSSIER ↗

RANK 2GRADE Aranked reveal

Truth began with firmness and fidelity.

Before truth centered factual correspondence, its family named what was firm, faithful, and steadfast.

2 CITATIONS / AUDIT ↗truth DOSSIER ↗

RANK 3GRADE Aranked reveal

Robot named forced labor before machinery.

The machine word begins in Czech robota: compulsory labor, corvée, or drudgery.

1 CITATIONS / AUDIT ↗robot DOSSIER ↗

RANK 4GRADE Aranked reveal

Humility is an earth-and-lowness metaphor.

Latin humus “ground” produced humilis “low,” then humilitās “lowness,” before the moral virtue.

3 CITATIONS / AUDIT ↗humility DOSSIER ↗

RANK 5GRADE Acontrarian claim

Calculation began with a pebble in the hand.

Latin calculus was a small stone used for reckoning before calculation became abstract.

2 CITATIONS / AUDIT ↗calculate DOSSIER ↗

RANK 6GRADE Aranked reveal

Evidence became a thread you could follow.

Old English cliewen was a ball of thread; the labyrinth metaphor turned it into guidance through uncertainty.

2 CITATIONS / AUDIT ↗clue DOSSIER ↗

RANK 7GRADE Acontrarian claim

Nice crossed from ignorance to approval.

Latin nescius “ignorant” became foolish or wanton, then fastidious and precise, and finally pleasant or kind.

2 CITATIONS / AUDIT ↗nice DOSSIER ↗

RANK 8GRADE Acontrarian claim

Etymology calls itself the “true account.”

Greek ἔτυμος “true, real” joined -λογία “account or study”; even that truth-word reaches a reconstructed root.

2 CITATIONS / AUDIT ↗etymology DOSSIER ↗

BOOKS / DICTIONARIES / ARTICLES / DATABASES

SOURCES

scholarly article17 CLAIM LINKS

Urban legends: Turkish kayık “boat” and “Eskimo” qayaq “kayak”

José Andrés Alonso de la Fuente / 2010

citation-key prefixAUDIT EVERY USE ↗

historical dictionary75 CLAIM LINKS

Altsächsisches Wörterbuch — hatōn and hėttiand

Gerhard Köbler / 2014

historical dictionary38 CLAIM LINKS

Althochdeutsches Wörterbuch — fîant, fîjant

Althochdeutsches Wörterbuch editorial team

historical dictionary35 CLAIM LINKS

Althochdeutsches Wörterbuch — fîên

Althochdeutsches Wörterbuch editorial team

historical dictionary12 CLAIM LINKS

Algorism — Word History

Merriam-Webster Editors / 2026

historical dictionary11 CLAIM LINKS

Algorithm — Word History

Merriam-Webster Editors / 2026

historical dictionary10 CLAIM LINKS

Algebra — Word Origin

Oxford University Press Editors / 2026

historical dictionary9 CLAIM LINKS

Altfriesisches Handwörterbuch — extracted entry hatia

Dietrich Hofmann · Anne Tjerk Popkema / 2008

historical dictionary7 CLAIM LINKS

Alpaca — Word History

Merriam-Webster Editors / 2026

historical dictionary6 CLAIM LINKS

Algorism — Origin and history

Douglas Harper / 2026

historical dictionary6 CLAIM LINKS

Althochdeutsches Wörterbuch — haz, Old Saxon hetias in the Saxon Confession

Saxon Academy of Sciences in Leipzig · Trier Center for Digital Humanities / 2026

historical dictionary5 CLAIM LINKS

Algebra — Word History

Merriam-Webster Editors / 2026

DIRECTLY INSPECTEDprinted book

FIRST USES & HISTORICAL OBJECTS

ATTESTATION WITNESSES

The e-rara object record and searchable scan locate John Harris's dictionary definition of algorithm.

algorithm / algorithm / 1704

Lexicon technicum: or, an universal English dictionary of arts and sciencesattested-form prefix / OPEN RECORD ↗

DIRECTLY INSPECTEDprinted book

John Harris’s Lexicon technicum prints ALGEBRA as a headword and identifies it as an analytic art concerned with equations.

algebra / algebra / 1704

Lexicon technicum: or, an universal English dictionary of arts and sciencesattested-form prefix / OPEN RECORD ↗

SOURCE REPORTEDlexical corpus

Source-reported title phrase in al-Khwārizmī's mathematical work

al-jabr / algebra / c. 825

Earliest Known Uses of Some of the Words of Mathematics: Aattested-form prefix / OPEN RECORD ↗

Algorism — Word Historyattested-form prefix / OPEN RECORD ↗

Middle English lexicographic first-use record for algorism

algorisme / augrim / algorithm / 14th century

Algorism — Word Historyattested-form prefix / OPEN RECORD ↗

Merriam-Webster source-reported English record

algorism / algorism / 14th century

Algebra — Word Historyattested-form prefix / OPEN RECORD ↗

English lexicographic first-use record

algebra / algebra / 1551

SOURCE REPORTEDlexical corpus

Source-reported English record for the algorithm spelling

algorithm / algorithm / 1699

Earliest Known Uses of Some of the Words of Mathematics: Aattested-form prefix / OPEN RECORD ↗

Alpaca — Word Historyattested-form prefix / OPEN RECORD ↗

Merriam-Webster first-known-use report

alpaca / alpaca / 1747