Vol 7, No 1, 2008 pp. 95-108
UDC 111 Platon; 165 Platon
ON THE ONTOLOGICAL AND EPISTEMOLOGICAL
STATUS OF MATHEMATICAL ENTITIES
Milan Tasić
University of Niš, Teachers' Faculty, Vranje
E-mail: tmild@ptt.yu
By examining the ontological and epistemological image of Plato's doctrine
and that of the neo-Platonists Iamblichus and Proclus Diadochus, we explain
in more detail the viewpoints of the latter on ''mathematical beings'',
''geometrical beings'' and ''mathematical methods''. We also find that
the principles of ''the one and the many'', of ''the limited and the unlimited''
etc. are happily discovered ''strongholds'' reinforced through two-and-half
millennia of development, especially in the natural sciences.
Key words: Plato, Proclus,
ontological, epistemological, mathematical, object.
O ONTOLOŠKO-GNOSEOLOŠKOM STATUSU MATEMATIČKIH
ENTITETA:
PLATON, JAMBLIH, PROKL DIJADOH
Ostvarivši unekoliko uvid u ontološko-gnoseološku sliku učenja Platona,
kao i novoplatoničara Jambliha, Prokla i dr., obrazlažemo posebnije gledišta
ovog poslednjeg na ''matematička bića'', ''geometrijska bića'', ''matematičke
metode'' i sl. Nalazimo da su jednom dogledana načela ''jednog i mnoštva'',
''granice i neograničenog'' i sl., srećno iznađena uporišta koja je
dvi i po milenijumski razvoj (naročito prirodnih) nauka iznova potvrđivao.
Ključne reči: Platon, Prokl,
ontološki, gnoseološki, matematički, objekt
