The claim
Al-Khwarizmi established algebra as a science bearing its own name.
The evidence
-
The chain of transmitters — passage/muwatta-1-029
A Muwatta hadith — an example of a chain that docum'en'ts a text.
-
chronicle — work/al-jabr-wal-muqabala
A line from the Book of Algebra and Balancing defining its art in solving problems, faithfully abbreviated.
-
object — concept/algebra
The concept of algebra — from al-jabr wal-muqabala to a named discipline.
The historians' note
Historians see his book as the first systematic founding of algebra; the name stayed in European languages.