THE MATHEMATICAL FOUNDATIONS AND SOCIAL SIGNIFICANCE OF INHERITANCE ISSUES IN THE WORKS OF MUHAMMAD IBN MUSA AL-KHWARIZMI

Abstract

The article examines the third section of Al-jabr wa al-muqabala, entitled “The Book of Wills,” and analyzes its social and philosophical significance. It argues that Muhammad ibn Musa al-Khwarizmi demonstrates the interconnection between algebraic methods and Islamic legal principles, highlighting the role of mathematical modeling in rationalizing social relations. The study further substantiates that al-Khwarizmi should be regarded not only as the founder of algebra, but also as one of the earliest thinkers to integrate legal justice with mathematical reasoning.