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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Autor principal: Bacelar Valente,Mario
Lenguaje:English
Publicado: 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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spelling oai:scielo:S0719-424220200002001692021-01-31On the correctness of problem solving in ancient mathematical procedure textsBacelar Valente,Mario mathematical problems problem solving mathematical procedure correctness 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.info:eu-repo/semantics/openAccessUniversidad de Valparaíso. Facultad de Humanidades .Instituto de Filosofía. Revista de humanidades de Valparaíso n.16 20202020-12-01text/htmlhttp://www.scielo.cl/scielo.php?script=sci_arttext&pid=S0719-42422020000200169en10.22370/rhv2020iss16pp169-189
institution Scielo Chile
collection Scielo Chile
language English
topic mathematical problems
problem solving
mathematical procedure
correctness
spellingShingle mathematical problems
problem solving
mathematical procedure
correctness
Bacelar Valente,Mario
On the correctness of problem solving in ancient mathematical procedure texts
description 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.
author Bacelar Valente,Mario
author_facet Bacelar Valente,Mario
author_sort Bacelar Valente,Mario
title On the correctness of problem solving in ancient mathematical procedure texts
title_short On the correctness of problem solving in ancient mathematical procedure texts
title_full On the correctness of problem solving in ancient mathematical procedure texts
title_fullStr On the correctness of problem solving in ancient mathematical procedure texts
title_full_unstemmed On the correctness of problem solving in ancient mathematical procedure texts
title_sort on the correctness of problem solving in ancient mathematical procedure texts
publisher Universidad de Valparaíso. Facultad de Humanidades .Instituto de Filosofía.
publishDate 2020
url http://www.scielo.cl/scielo.php?script=sci_arttext&pid=S0719-42422020000200169
work_keys_str_mv AT bacelarvalentemario onthecorrectnessofproblemsolvinginancientmathematicalproceduretexts
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