Please use this identifier to cite or link to this item: https://hdl.handle.net/10316.2/47019
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dc.contributor.authorStone, Sophia-
dc.date.accessioned2019-07-04T14:50:42Z
dc.date.accessioned2020-10-04T18:43:08Z-
dc.date.available2019-07-04T14:50:42Z
dc.date.available2020-10-04T18:43:08Z-
dc.date.issued2018-
dc.identifier.issn2079-7567-
dc.identifier.issn2183-4105 (PDF)-
dc.identifier.urihttps://hdl.handle.net/10316.2/47019-
dc.description.abstractThe paper analyzes the final proof with Greek mathematics and the possibility of intermediates in the Phaedo. The final proof in Plato’s Phaedo depends on a claim at 105c6, that μονάς, ‘unit’, generates περιττός ‘odd’ in number. So, ψυχή ‘soul’ generates ζωή ‘life’ in a body, at 105c10-11. Yet commentators disagree how to understand these mathematical terms and their relation to the soul in Plato’s arguments. The Greek mathematicians understood odd numbers in one of two ways: either that which is not divisible into two equal parts, or that which differs from an even number by a unit. (Euclid VII.7) Plato uses the second way in the final proof. This paper argues that a proper understanding of these mathematical terms within Greek mathematics shows that the argument for the final proof is better than previously thought. Such an interpretation of the final proof lends credence to Platonic intermediates.eng
dc.language.isoeng-
dc.publisherImprensa da Universidade de Coimbra-
dc.rightsopen access-
dc.subjectsouleng
dc.subjectnumbereng
dc.subjectthe Oddeng
dc.subjectthe Eveneng
dc.subjectuniteng
dc.subjectimmortalityeng
dc.subjectPhaedoeng
dc.subjectintermediateseng
dc.titleΜονάς and ψυχή in the Phaedopor
dc.typearticle-
uc.publication.collectionPlato Journal vol. 18-
uc.publication.firstPage55-
uc.publication.lastPage69-
uc.publication.locationCoimbra-
uc.publication.journalTitlePlato Journal-
uc.publication.volume18por
dc.identifier.doi10.14195/2183-4105_18_5-
uc.publication.sectionDossier-
uc.publication.orderno6-
uc.publication.areaArtes e Humanidades-
uc.publication.manifesthttps://dl.uc.pt/json/iiif/10316.2/47019/267635/manifest?manifest=/json/iiif/10316.2/47019/267635/manifest-
uc.publication.thumbnailhttps://dl.uc.pt/retrieve/12129570-
item.fulltextWith Fulltext-
item.grantfulltextopen-
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