How do we understand mathematical practices in non-mathematical fields? Reflections inspired by cases from 12th and 13th century China |
| |
| Institution: | 1. Masaryk University, Brno, Czechia;2. Johannes Gutenberg-Universität Mainz, Germany;1. Mathematical Institute, Woodstock Road, Oxford, OX2 6GG, UK;2. The Queen''s College, Oxford, OX1 4AW, UK;3. Faculty of Oriental Studies, Pusey Lane, Oxford, OX1 2LE, UK;1. Univ. de Caen Normandie, UMR CNRS 6139 LMNO & IREM, 14000 Caen, France;2. Nabeul, Tunisia |
| |
| Abstract: | Recent studies of the history of mathematics have shed light on the diversity of mathematical practices in the ancient world. In this article, I address this issue from two perspectives. First, I analyze different mathematical instruments used in different domains in 12th and 13th century China. Second, by analyzing how the text is related to the problems written down in the same period, I argue that there existed two categories of mathematical problems. As a result, I suggest that problems, textual procedures, and material operations should be considered together when regarding various mathematical practices in mathematical and non-mathematical fields. |
| |
| Keywords: | Qin Jishao Zhu Xi Chinese mathematics Mathematical practice Mathematical instruments Mathematical problems |
| 本文献已被 ScienceDirect 等数据库收录！ |
|
