It rests on a statement by the twelfth-century historian Abraham ibn Daud that Saadia was "about fifty" years old when he died. The modern birth year of 882 rests on an 1113 CE Genizah fragment containing a list of Saadia's writings compiled by his sons eleven years after his death, which stated that he was "sixty years less forty days" at death. Henry Malter, " Postscript ", Saadia Gaon: His life and works (1921) 421428. Jacob [1] Mann, " A fihrist of Sa'adya's works ", The Jewish Quarterly Review new series 11 (1921) 423-428. Malter rejected 882 because it was in conflict with other known events in Saadia's life. He suspected an error by a copyist. 882 is now generally accepted because its source is closer in both time and space to his death.
Source: Wikipedia > Saadia Gaon
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