PERMANENT SOURCE RECORD
ALL SOURCES ↗BIBLIOGRAPHIC IDENTITYmw-arithmetic
SOURCE
RECORD.
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14 PUBLIC LINKS INTO THE GRAPH.
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historical dictionarymw-arithmetic
Arithmetic — Definition, Word History, and First Known Use
- AUTHOR / EDITOR
- Merriam-Webster Editors
- YEAR
- 2026
- PUBLISHER
- Merriam-Webster
- DOI
- Not recorded
- SOURCE TYPE
- historical dictionary
- EXTERNAL RECORD
- OPEN ORIGINAL ↗
011
CONTRARIAN TRUTH CLAIMS
RANKED REVEALS THAT CITE THIS SOURCE
RANK 14GRADE Asupports
Arithmetic put the “ithm” into algorithm without becoming its ancestor.
Arithmetic carries Greek arithmos “number.” Algorithm carries al-Khwārizmī's name; arithmos influenced its spelling, not its genealogy.
*h₂rei-
*h₂rei- → ἀριθμός → ἀριθμητική (τέχνη) → arithmetica → arsmetique / arismatike → arsmetike / arsmetrik → arithmetic
Word History: Greek arithmosDocuments arithmetic's independent number-word ancestry.
arithmetic dossier ↗truth record ↗89UNVEILING
022
SCHOLARLY DISAGREEMENT
DISPUTE POSITIONS THAT CITE THIS SOURCE
openchallengesprobable
Does the English record begin in the 13th or 15th century?
The reviewed source reports differ. Etymonline gives mid-thirteenth-century arsmetike; Merriam-Webster gives a fifteenth-century first-known-use horizon.
First Known Use: 15th centuryPublishes the later first-known-use horizon.
resolvedsupportsestablished
Are arithmetic and algorithm cognates?
No. Arithmetic descends through Greek arithmos “number.” Algorithm descends from al-Khwārizmī's name; arithmos influenced the later spelling rather than supplying the ancestor.
Word History: arithmetic from Greek arithmosDocuments arithmetic's independent ancestry.
035
CANONICAL RELATIONSHIP CLAIMS
EDGES THAT CITE THIS SOURCE
EDGE 470supportsestablished
arithmetic → arsmetike / arsmetrik
Present-Day English → Middle English · historical continuation
- SOUND
- Middle English arsmetike / arsmetrik is respelled arithmetic under renewed alignment with Latin and Greek.
- MEANING
- The counting art remains arithmetic while its domain broadens within modern mathematics.
- SCHOLAR / EDITOR
- Merriam-Webster · Etymonline editors
Word History: Middle English arsmetrik; First Known UseDocuments the Middle English form, modern headword, and fifteenth-century reported horizon.
EDGE 471supportsestablished
arsmetike / arsmetrik → arsmetique / arismatike
Middle English → Old French · borrowing
- SOUND
- Middle English adapts Old French and Anglo-French forms; a folk association with ars metrica contributes the extra r in some spellings.
- MEANING
- The practical and learned counting discipline remains central.
- SCHOLAR / EDITOR
- Merriam-Webster · Etymonline · MacTutor editors
Word History: Anglo-French arismatikeDocuments French transmission.
EDGE 472supportsestablished
arsmetique / arismatike → arithmetica
Old French → Latin · borrowing
- SOUND
- French arsmetique / arismatike continues Latin arithmetica through regular learned transmission and medieval respelling.
- MEANING
- Arithmetic remains the counting discipline.
- SCHOLAR / EDITOR
- Merriam-Webster · Etymonline editors
Word History: Anglo-French from Latin arithmeticaDocuments French continuation of the Latin form.
EDGE 473supportsestablished
arithmetica → ἀριθμητική (τέχνη)
Latin → Ancient Greek · borrowing
- SOUND
- Latin arithmetica borrows and adapts Greek arithmētikē.
- MEANING
- The Greek counting art enters Latin education and mathematical vocabulary.
- SCHOLAR / EDITOR
- Merriam-Webster · MacTutor editors
Word History: Latin arithmetica from Greek arithmētikēDocuments the Greek-to-Latin borrowing.
EDGE 474supportsestablished
ἀριθμητική (τέχνη) → ἀριθμός
Ancient Greek → Ancient Greek · derivation
- SOUND
- Greek arithmētikē is built in the arithmos “number” family.
- MEANING
- Number or counting supplies the name of the counting art.
- SCHOLAR / EDITOR
- Merriam-Webster · Etymonline · MacTutor editors
Word History: arithmētikē from arithmos “number”Documents the Greek derivation.
041
LEXICAL ATTESTATIONS
WITNESSES REPORTED BY THIS SOURCE
arithmeticSOURCE-REPORTED
arithmetic
Merriam-Webster source-reported English record
OPEN WITNESS 123 ↗051
COMPARATIVE EVIDENCE
COGNATES, DESCENDANTS, AND RELATIVES
rīm
Old Englishcomparative number-word relative
063
GEOGRAPHIC AND TEMPORAL CLAIMS
JOURNEY STAGES THAT CITE THIS SOURCE
stage 1supports
Ancient Greek linguistic world
Documents the Greek number and counting-art stages.
Word History: Greek arithmētikē and arithmos · broadstage 2supports
Latin and medieval French scholarship
Independently documents the learned route.
Word History: Latin and Anglo-French chain · broadstage 3challenges
Medieval England
Preserves the later institutional first-use report.
First Known Use: 15th century · regional071
NON-GENEALOGICAL CONNECTIONS
HISTORICAL CONTEXT, KEPT SEPARATE
spelling influence not ancestrycontext
THE RESEMBLANCE IS REAL; THE COGNACY IS NOT
Arithmetic descends from Greek arithmos “number.” Algorithm descends from the name al-Khwārizmī, but its modern spelling was probably influenced by arithmetic or arithmos. Orthographic influence is historical evidence, not shared ancestry.
American Heritage Dictionary · MacTutor editors · established082
WORD-FAMILY REUSE
DOSSIERS THAT DEPEND ON THIS SOURCE
5 entry-scoped citations map reviewed dossier paths onto the canonical claims above.