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Article Dans Une Revue Greek, Roman, and Byzantine Studies Année : 2015

Unaccountable Numbers

Fabio Acerbi

Résumé

The aim of this article is to discuss and amend one of the most intriguing loci corrupti of the Greek mathematical corpus: the definition of the "unknown" in Diophantus' Arithmetica. To do so, I first expound in detail the peculiar terminology that Diophantus employs in his treatise, as well as the notation associated with it (section 1). Sections 2 and 3 present the textual problem and discuss past attempts to deal with it; special attention will be paid to a paraphrase contained in a letter of Michael Psellus. The emendation I propose (section 4) is shown to be supported by a crucial, and hitherto unnoticed, piece of manuscript evidence and by the meaning and usage in non-mathematical writings of an adjective that in Greek mathematical treatises other than the Arithmetica is a sharply-defined technical term: ἄλογος. Section 5 offers some complements on the Diophantine sign for the "unknown."
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Dates et versions

hal-03597010 , version 1 (04-03-2022)

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  • HAL Id : hal-03597010 , version 1

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Fabio Acerbi. Unaccountable Numbers. Greek, Roman, and Byzantine Studies, 2015, 55, pp.902-926. ⟨hal-03597010⟩
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