The Quadratic Division in Plato’s Sophist 265e-266d

Name: The Quadratic Division in Plato’s Sophist 265e-266d
Brand: Vita e Pensiero
Price: 6.00 EUR
Availability: OnlineOnly

digital

Articolo

Rivista

RIVISTA DI FILOSOFIA NEO-SCOLASTICA

Fascicolo

RIVISTA DI FILOSOFIA NEO-SCOLASTICA - 2024 - 3

Titolo

The Quadratic Division in Plato’s Sophist 265e-266d

Autore

Laura Marongiu

Editore

Vita e Pensiero

Formato

Articolo |

Pdf

Pagine

Online da

04-2025

Doi

10.26350/001050_000471

Issn

0035-6247 (stampa) | 1827-7926 (digitale)

€ 6,00

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Descrizione

In Plato’s Sophist, the Stranger proposes a division more geometrico by cutting the productive art widthwise and lengthwise (265e8-266d7). In this paper, I shall reconstruct the often-neglected mathematical background of this complex διαίρεσις. By laying emphasis on its two-dimensional, quadratic structure, I shall argue that this division is not – strictly speaking – dichotomous but represents some sort of deviation from the bifurcation pattern widely employed and recommended elsewhere. Besides exploring the advantages of choosing an alternative pattern of division from a methodological point of view, I shall assess the role of the quadratic division within the broader context of the final division and definition of the sophist.