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THE THEORY OF MATHEMATICAL SUBTRACTION IN ARISTOTLE

dc.contributor.authorRomashova, Ksenia
dc.contributor.copyright-releaseNot Applicableen_US
dc.contributor.degreeMaster of Artsen_US
dc.contributor.departmentDepartment of Classicsen_US
dc.contributor.ethics-approvalNot Applicableen_US
dc.contributor.external-examinern/aen_US
dc.contributor.graduate-coordinatorDr. Eli Diamonden_US
dc.contributor.manuscriptsNot Applicableen_US
dc.contributor.thesis-readerDr. Michael Fournieren_US
dc.contributor.thesis-readerDr. Ian Stewarten_US
dc.contributor.thesis-supervisorDr. Eli Diamonden_US
dc.date.accessioned2019-08-29T17:40:19Z
dc.date.available2019-08-29T17:40:19Z
dc.date.defence2019-08-15
dc.date.issued2019-08-29T17:40:19Z
dc.description.abstractThe problem with most modern accounts of Aristotle’s so-called ‘theory of mathematical abstraction’ or aphairesis (ἀφαίρεσις) is that it is interpreted primarily through the scope of the epistemological process of an immediate reception of mathematical forms by the soul without matter from which the former are said to be ‘abstracted’. However, this interpretation is not present in Aristotle’s texts. Instead, aphairesis presents itself as a method by which the mode of being of the objects of mathematics is explained: it elucidates the location and place of the category of quantity within a particular sensible substance, but not some kind of an abstracting activity of drawing mathematical forms or universals from matter. This latter type of the epistemological abstraction of mathematicals found in most modern commentaries was developed by later commentators of Aristotle. The analysis of the modern scholarship shows a clear trace of influence of the ancient tradition.en_US
dc.identifier.urihttp://hdl.handle.net/10222/76355
dc.language.isoenen_US
dc.subjectSubtractionen_US
dc.subjectAbstractionen_US
dc.subjectCategory of quantityen_US
dc.subjectPhilosophy of mathematicsen_US
dc.subjectPlatoen_US
dc.subjectAristotleen_US
dc.titleTHE THEORY OF MATHEMATICAL SUBTRACTION IN ARISTOTLEen_US

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