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Title:Aristotelovi matematični predmeti kot "vmesne stvari"
Authors:ID Vezjak, Boris (Author)
Files:URL https://ojs.zrc-sazu.si/filozofski-vestnik/article/view/3728/3430
 
Language:Slovenian
Work type:Article
Typology:1.01 - Original Scientific Article
Organization:PEF - Faculty of Education
Abstract:In his “Metaphysics” Aristotle often claims plainly that Plato believed in a third class of entities, which are identical neither with Forms nor with physical objects – these are the so-called intermediates (ta metaxu). But although there are passages in Plato where similar ideas seem to be indicated, nowhere does he accept this important and rather unexpected doctrine in a straightforward way. Since the intermediates are identified with mathematical objects, the very concept of the former helps us to understand the features of the latter. But why should the intermediates be exactly and only the objects of mathematics? Can't we postulate the same form of intermediate objects for every other science? In this article I also tackle different approaches to understanding Aristotle's reading of Plato: is the existence of intermediates something claimed by Plato, by Aristotle only or a kind of modification of Plato's concepts in Aristotle's work in order to overcome his own difficulties within the philosophy of mathematics?
Keywords:filozofija, filozofija matematike, vmesne stvari, ta metaxu, števila, Aristoteles, 384-322 pr.n.š., Platon, 427-347 pr.n.š.
Publication status:Published
Publication version:Version of Record
Publisher:Založba ZRC
Year of publishing:2000
Number of pages:str. 27-44
Numbering:Letn. 21, št. 1
PID:20.500.12556/DKUM-66639 New window
UDC:510.21
ISSN on article:0353-4510
COBISS.SI-ID:15538989 New window
NUK URN:URN:SI:UM:DK:OHWJAHJZ
Publication date in DKUM:08.08.2024
Views:196
Downloads:14
Metadata:XML DC-XML DC-RDF
Categories:Misc.
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Record is a part of a journal

Title:Filozofski vestnik
Shortened title:Filoz. vestn.
Publisher:Filozofski inštitut ZRC SAZU
ISSN:0353-4510
COBISS.SI-ID:8558080 New window

Secondary language

Language:English
Title:Aristotle's mathematical objects as the "intermediates"
Abstract:V svoji Metafiziki Aristotel pogosto in eksplicitno pravi, da je Platon verjel v tretjo vrsto entitet, ki niso istovetne ne z idejami in ne s fizičnimi predmeti. To so tako imenovane “vmesne stvari” (ta metaxu). Dasitudi lahko pri Platonu zares najdemo podobna izhodišča, pa pri njem ne bomo našli neposredne potrditve za takšen pomemben in nepričakovan nauk. Ker so “vmesne stvari” izenačene z matematičnimi predmeti, nam bo sam koncept prvih pomagal razumeti značilnosti drugih. Toda čemu bi morale biti “vmesne stvari” natanko predmeti matematike? Mar ne bi smeli postulirati istega tipa vmesne entitete prav tako v vsaki drugi znanosti? V članku se dotaknem še različnih pristopov v razlagi Aristotelove obravnave Platona – je obstoj “vmesnih” stvari nekaj, kar trdi Platon, morebiti nekaj, kar je Aristotelov izum ali pa je le modifikacija platonskih idej, ki so bile pri Aristotelu uporabljene zato, da bi izboljšal svoje lastne predpostavke filozofije matematike?
Keywords:philosophy, philosophy of mathematics, intermediates, numbers


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