Article ID: CBB000740272

A Framework for Defining the Generality of Diophantos' Methods in “Arithmetica” (2005)

unapi

Diophantos' solutions to the problems of Arithmetica have been the object of extensive reading and interpretation in modern times, especially from the point of view of identifying ``hidden steps'' or ``general methods''. In this paper, after examining the relevance of various interpretations given for the famous problem II 8 in the context of modern algebra or geometry, we focus on a close reading of the ancient text of some problems of Arithmetica in order to investigate Diophantos' solving practices. This inquiry reveals certain pointers, which enable us to create a framework for defining the generality of Diophantos' methods.

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Description Followed by an erratum on page 641 of the same issue.


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https://data.isiscb.org/isis/citation/CBB000740272/

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Authors & Contributors
Christianidis, Jean P.
Zlatev, Boyko
Zhao, Jiwei
Yusta, Piedad
Unguru, Sabetai
Thomaidis, Yannis
Journals
Historia Mathematica
NTM: Zeitschrift für Geschichte der Naturwissenschaften, Technik und Medizin
Archive for History of Exact Sciences
Mediterranean Archaeology and Archaeometry
VIET: Voprosy Istorii Estestvoznaniia i Tekhniki
Theoria (0495-4548)
Publishers
Felice Le Monnier
de Gruyter
Ashgate
Cambridge University Press
Catholic University of America
Concepts
Mathematics
Arithmetic
Algebra
Equations and formulae
Number theory; number concept
Medicine
People
Diophantos of Alexandria
Plato
Bashmakova, Isabella Grigoryevna
Proclus
Hypatia of Alexandria
Euclid
Time Periods
Ancient
Medieval
3rd century
16th century
Places
Greece
Rome (Italy)
Alexandria (Egypt)
Egypt
Middle and Near East
Mesopotamia
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