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The One and The Many

Aristotle on The Individuation of Numbers

Bibliographic Data

ID9664884
AuthorsStephen Gaukroger (0000-0002-8311-5633, The University of Sydney, corresponding author)
Year1982
Volume32
Issue2
Pages312-322
Publication date1982-12-01
Peer ReviewedYes
Open AccessYes
TypeARTICLE
VenueThe Classical Quarterly (JOURNAL)
Journal identifiersISSN: 0009-8388 • E-ISSN: 1471-6844
PublisherCambridge University Press (CUP) (PUBLISHER)
DOI10.1017/s0009838800026495
OpenAlexW2094046206
LanguageEN
Citations received2
References cited7

In Book K of the Metaphysics Aristotle raises a problem about a very persistent concern of Greek philosophy, that of the relation between the one (τ⋯ ἓν) and the many (τ⋯ πλ***θ***), but in a rather peculiar context. He asks: ‘What on earth is it in virtùe of which mathematical magnitudes are one? It is reasonable that things around us [i.e. sensible things] be one in virtue of [their] ψνχ⋯ or part of their ψνχ⋯, or something else; otherwise there is not one but many, the thing is divided up. But [mathematical] objects are divisible and quantitative. What is it that makes them one and holds them together?’ (1077 a 20–4)

Context (archaeology · Epistemology · Individuation · Metaphysics · Psychoanalysis · Relation (database · Virtue · Classical Philosophy and Thought · Computer Science · History · Philosophy · Psychology

  • Does Frege Have Aristotle's Number

    Open Access•Emily Katz•Journal of the American…•2023

  • George Kelly

    John G Benjafield•History of Psychology•2008

  • Aristotle on Geometrical Objects

    Ian Mueller•Archiv für Geschichte der…•1970

  • Aristotle's Metaphysics

    Ronald B Levinson, Richard Hope•Books Abroad•1953

  • A ristotle on Intelligible Matter

    Stephen Gaukroger•Phronesis•1980

  • Aristotle's Metaphysics, Books M and N

    John M Rist, John Μ Rist et al.•Phoenix•1978

Unique citing works2
Citations per year0.11
Citation span2008 - 2023 (16)
Citation velocityhistorical
Highly citedNo
Citation typesNeutral: 2

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