Phronesis 65 (1):27-75 (2020)

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.
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DOI 10.1163/15685284-12342029
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References found in this work BETA

Logische Untersuchungen.Edmund Husserl (ed.) - 1900 - Felix Meiner Verlag.
Collected Papers.Charles S. Peirce - 1931 - Cambridge: Belknap Press of Harvard University Press.
Mathematical Logic as Based on the Theory of Types.Bertrand Russell - 1908 - American Journal of Mathematics 30 (3):222-262.

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