Bacelar Valente, Mario (2020) On the correctness of problem solving in ancient mathematical procedure texts. [Preprint]
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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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| Item Type: | Preprint | ||||||
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| Keywords: | mathematical problems; problem solving; mathematical procedure; correctness | ||||||
| Subjects: | Specific Sciences > Mathematics > Epistemology Specific Sciences > Mathematics > History Specific Sciences > Mathematics > Methodology Specific Sciences > Mathematics > Practice Specific Sciences > Mathematics > Proof Specific Sciences > Mathematics |
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| Depositing User: | mario bacelar valente | ||||||
| Date Deposited: | 14 Nov 2020 15:29 | ||||||
| Last Modified: | 14 Nov 2020 15:29 | ||||||
| Item ID: | 18403 | ||||||
| Subjects: | Specific Sciences > Mathematics > Epistemology Specific Sciences > Mathematics > History Specific Sciences > Mathematics > Methodology Specific Sciences > Mathematics > Practice Specific Sciences > Mathematics > Proof Specific Sciences > Mathematics |
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| Date: | 12 November 2020 | ||||||
| URI: | https://philsci-archive.pitt.edu/id/eprint/18403 |
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On the correctness of ancient mathematical procedure texts. (deposited 31 Jan 2019 15:15)
- On the correctness of problem solving in ancient mathematical procedure texts. (deposited 14 Nov 2020 15:29) [Currently Displayed]
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