A Framework for Defining the Generality of Diophantos' Methods in 'Arithmetica'

Autor:	Yannis Thomaidis
Rok vydání:	2005
Předmět:	Generality Philosophy of science Mathematics (miscellaneous) History and Philosophy of Science Interpretation (philosophy) Close reading Context (language use) Relevance (information retrieval) Object (philosophy) Algorithm Abstract algebra Mathematics Epistemology
Zdroj:	Archive for History of Exact Sciences. 59:641-641
ISSN:	1432-0657 0003-9519
DOI:	10.1007/s00407-005-0103-3
Popis:	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.
Databáze:	OpenAIRE
Externí odkaz:	https://explore.openaire.eu/search/publication?articleId=doi_dedup___::692834cce26928ec8838e76e50cf6fbd https://doi.org/10.1007/s00407-005-0103-3 Zobrazit plný text záznamu Plný text ve formátu PDF