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  • Mathematical Generality, Le...
    Acerbi, F

    Phronesis (Leiden, Netherlands), 02/2020, Letnik: 65, Številka: 1
    Journal Article

    Abstract This article focusses on the generality of the entities involved in a geometric proof of the kind found in ancient Greek treatises: it shows that the standard modern translation of Greek mathematical propositions falsifies crucial syntactical elements, and employs an incorrect conception of the denotative letters in a Greek geometric proof; epigraphic evidence is adduced to show that these denotative letters are 'letter-labels'. On this basis, the article explores the consequences of seeing that a Greek mathematical proposition is fully general, and the ontological commitments underlying the stylistic practice.