On the correctness of problem solving in ancient mathematical procedure texts

Revista de Humanidades de Valparaíso 16:169-189 (2020)
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Abstract

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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Mario Bacelar Valente
Pablo de Olavide University

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References found in this work

Wittgenstein's Lectures on the Foundations of Mathematics, Cambridge, 1939.Ludwig Wittgenstein - 1975 - Chicago: University of Chicago Press. Edited by R. G. Bosanquet & Cora Diamond.
The Exact Sciences in Antiquity.Arnold Dresden - 1953 - Journal of the American Oriental Society 73 (1):53.
The Exact Sciences in Antiquity.Oystein Ore - 1959 - Philosophy of Science 26 (2):155-155.

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