PhilSci Archive

On the correctness of problem solving in ancient mathematical procedure texts

Bacelar Valente, Mario (2020) On the correctness of problem solving in ancient mathematical procedure texts. [Preprint]

This is the latest version of this item.

[img]
Preview
Text
On the correctness of problem solving in ancient mathematical procedure texts.pdf

Download (341kB) | Preview

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.


Export/Citation: EndNote | BibTeX | Dublin Core | ASCII/Text Citation (Chicago) | HTML Citation | OpenURL
Social Networking:
Share |

Item Type: Preprint
Creators:
CreatorsEmailORCID
Bacelar Valente, Mario
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: https://philsci-archive-dev.library.pitt.edu/id/eprint/18403

Available Versions of this Item

Monthly Views for the past 3 years

Monthly Downloads for the past 3 years

Plum Analytics

Actions (login required)

View Item View Item