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How the word 'algorithm' traces back to a 9th-century Persian mathematician

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The word 'algorithm' derives from the Latinized name of Muhammad ibn Musa al-Khwarizmi, a 9th-century Persian mathematician, astronomer, and geographer. Al-Khwarizmi's influential works helped introduce algebraic methods and Hindu-Arabic numerals to the West, and his name was gradually transformed through Latin, French, and English over centuries. The etymology highlights how algorithms — now central to AI, social media, and navigation — have deep historical roots in Islamic scholarship.

The term 'algorithm,' which appears 19 times in Pope Leo XIV's recent encyclical on artificial intelligence, originates from the name of Muhammad ibn Musa al-Khwarizmi, a 9th-century Persian mathematician from the region of Khwarazm in present-day Uzbekistan. His name was Latinized as 'algorismus,' passed through French as 'algorisme,' and eventually became 'algorism' and then 'algorithm' in English, along the way becoming somewhat conflated with the word 'arithmetic.' Al-Khwarizmi's landmark book on calculation helped introduce algorithmic problem-solving methods, popularized Hindu-Arabic numerals including zero in the West, and laid the groundwork for algebra. His works were translated into Latin multiple times during the 12th-century European revival of learning, part of a broader transmission of Islamic science that also gave English words like alcohol, alkali, and alchemy. Today, algorithms underpin everything from celestial navigation and GPS to social media recommendation systems, illustrating how a concept rooted in medieval mathematics now shapes modern life.

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  • How 'algorithm' got its name from a 9th-century Persian mathematician

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