论古代数学程序文本中问题解决的正确性

Q4 Arts and Humanities
M. Valente
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引用次数: 0

摘要

关于古巴比伦的数学程序文本,有人认为它们的有效性或正确性是不言而喻的。人们“看到”程序是正确的,而没有或伴随着任何关于程序正确性的明确论点。即使同意这一观点,人们仍然可能会问,程序的正确性是如何表达的?在这项工作中,我们阐述了古埃及和古巴比伦数学程序文本的正确性——数学文本提出了问题的解决方案。我们努力明确并解释这些程序是如何以及为什么可靠的,而不仅仅是它们的正确性是直观的。
本文章由计算机程序翻译,如有差异,请以英文原文为准。
On the correctness of problem solving in ancient mathematical procedure texts
It has been argued in relation to Old Babylonian mathematical procedure texts that their validity or correctness is self-evident. One “sees” that the procedure is correct without it having, or being accompanied by, any explicit arguments for the correctness of the procedure. Even when agreeing with this view, one might still ask about how is the correctness of a procedure articulated? In this work, we present an articulation of the correctness of ancient Egyptian and Old Babylonian mathematical procedure texts – mathematical texts presenting the solution of problems. We endeavor to make explicit and explain how and why the procedures are reliable over and above the fact that their correctness is intuitive.
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来源期刊
Revista de Humanidades de Valparaiso
Revista de Humanidades de Valparaiso Arts and Humanities-Philosophy
CiteScore
0.30
自引率
0.00%
发文量
13
审稿时长
5 weeks
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