The older ending -ism was reshaped to -ithm, commonly explained through association with Greek arithmos “number.”
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algorithm
a numeral procedure; later a finite stepwise procedure
OPEN NODE 96 ↗algorisme / augrim
arithmetic using Hindu-Arabic numerals
OPEN NODE 97 ↗THE COMPLETE RELATIONSHIP
EVERY FIELD, NOT A FAIRY TALE
Arithmetic or numeral procedure narrowed and generalized into a finite stepwise procedure.
The spelling is reported in 1699; Merriam-Webster dates its currently defined technical sense to 1926.
Merriam-Webster · MacTutor editors
probable — The descent from algorism is secure; the exact force of Greek influence is reported rather than independently demonstrated here.
reviewed
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Algorithm as an alteration of algorism.
Reports influence from Greek arithmos.
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