Some remarks on the meaning of equality in Diophantos’s Arithmetica

Autor:	Yannis Thomaidis
Jazyk:	angličtina
Předmět:	Value (ethics) Mathematics(all) History Late antiquity General Mathematics Arithmetica Epistemology Greek mathematics Equality Calculus Comparative historical research Meaning (existential) Diophantos Mathematics
Zdroj:	Historia Mathematica. (1):28-41
ISSN:	0315-0860
DOI:	10.1016/j.hm.2010.06.002
Popis:	Diophantos in Arithmetica, without having defined previously any concept of “equality” or “equation,” employs a concept of the unknown number as a tool for solving problems and finds its value from an equality ad hoc created. In this paper we analyze Diophantos’s practices in the creation and simplification of such equalities, aiming to adduce more evidence on certain issues arising in recent historical research on the meaning of the “equation” in Diophantos’s work.
Databáze:	OpenAIRE
Externí odkaz:	https://explore.openaire.eu/search/publication?articleId=doi_dedup___::347af98bfb01e1959484741de31f77a1 Zobrazit plný text záznamu