Abstract

GARCIA-PEREZ, Manuel J.  and  DAL MAGRO, Tamires. A Comparative Analysis of The Use of Diagrams in Two Mathematical Practices from Antiquity. Crítica (Méx., D.F.) [online]. 2019, vol.51, n.152, pp.5-31.  Epub Dec 28, 2020. ISSN 0011-1503.  https://doi.org/10.22201/iifs.18704905e.2019.07.

In our article, we will analyze the differences and similarities that we can find in the use of diagrams between two mathematical practices of antiquity. We will show that there is no single possible use of these, but that they have to be considered as reasoning tools created and manipulated according to the purposes of each tradition. We will argue that the differences in the procedures and organizations of knowledge that both traditions present do not imply any kind of assessment of their greater or lesser “mathematicity”, since both traditions reached sufficiently general and precise mathematical results, a fact that is characteristic of mathematical research at a theoretical level.

Keywords : contextual analysis, history of geometry; diagrammatic reasoning; Pythagorean Theorem; gou gu procedure.

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