Banca de DEFESA: JÉSSICA TARGINO MUNIZ

Uma banca de DEFESA de DOUTORADO foi cadastrada pelo programa.
STUDENT : JÉSSICA TARGINO MUNIZ
DATE: 04/02/2026
TIME: 09:00
LOCAL: Meet
TITLE:

 Inheritance problems involving the manumission of slaves in Al-Khwarizmi's algebraic treatise: a study guided by the Theory of Objectification.

KEY WORDS:

Manumission of slaves; Inheritance issues; Relationship between mathematics and culture; Theory of Objectification; Al-Khwarizmi's algebraic treatise

PAGES: 150
BIG AREA: Ciências Humanas
AREA: Educação
SUBÁREA: Ensino-Aprendizagem
SPECIALTY: Teorias da Instrução
SUMMARY:

This research is the result of an investigation that focused on three mathematical inheritance problems involving the manumission of slaves presented by al-Khwarizmi in his algebraic treatise, entitled in Arabic Kitab al-jabr wa'lmuqabala (Book of Restoration and Balancing, in English). This book was written by the aforementioned Islamic scholar at the beginning of the 9th century, a period marked, in the Islamic empire, by the flourishing of science. Noting, through bibliographic research, that the inheritance problems presented by the author are little explored in academic research, we decided to concentrate our study on them. This is because, according to Wieleitner (1922), al-Khwarizmi works with quite complicated rules foreseen in Islamic testamentary law, which makes the problems difficult to understand. The example used for the production of this thesis was the book “El Libro del Álgebra: Mohammed ibn-Musa al-Jwarizmi”, written in 2009 by Ricardo Moreno Castillo. Castillo's book (2009) is a Spanish translation of Al-Khwarizmi's treatise in Arabic, based on the manuscript held at Oxford University. Documentary research was conducted on the book, drawing from three spheres of contemporary historiography: historiographical, epistemological, and contextual. The investigation was guided by the following question: how is the dialectical relationship established between al-Khwarizmi's Algebra and the sociocultural context of the 9th century? By adopting the Theory of Objectification as a theoretical and conceptual framework, the study sought to deepen the understanding of the historical, social, and cultural constitution of mathematical knowledge, based on an analysis of the relationship between the inheritance problems presented by al-Khwarizmi and the context in which his work was produced. The study allowed us to defend the thesis that al-Khwarizmi's Algebra is an artifact that incorporates, refracts, and affirms the context of 9th-century Islamic civilization. In a dialectical way, the context shapes and gives form to the work.

COMMITTEE MEMBERS:
Presidente - 1169920 - BERNADETE BARBOSA MOREY
Externa ao Programa - 2350596 - GABRIELA LUCHEZE DE OLIVEIRA LOPES - nullInterna - 3331328 - GISELLE COSTA DE SOUSA
Externa à Instituição - LIGIA ARANTES SAD - IFES
Externo à Instituição - SEVERINO CARLOS GOMES - IFRN
Externa à Instituição - VALDENIZE LOPES DO NASCIMENTO - UFERSA