On the correctness of problem solving in ancient mathematical procedure texts
Abstract: It has been argued concerning Old Babylonian mathematical problems that the validity or correctness of the procedures adopted to solve them is self-evident. One “sees” that a procedure is correct without it being accompanied by any explicit argument for its correctness....
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| Lenguaje: | English |
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Universidad de Valparaíso. Facultad de Humanidades .Instituto de Filosofía.
2020
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| Acceso en línea: | http://www.scielo.cl/scielo.php?script=sci_arttext&pid=S0719-42422020000200169 |
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| Sumario: | Abstract: It has been argued concerning Old Babylonian mathematical problems that the validity or correctness of the procedures adopted to solve them is self-evident. One “sees” that a procedure is correct without it being accompanied by any explicit argument for its correctness. Even when agreeing with this view, one might ask how it is that the procedure turns out to be correct. In this work, we identify elements that are crucial for the correctness of ancient Egyptian and Old Babylonian mathematical procedures. We endeavor to make explicit how and why the procedures are reliable over and above the fact that their correctness is intuitive. |
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