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 selfevident. 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 

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 

Date:  12 November 2020  
URI:  http://philsciarchive.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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