ЭПИСТЕМОЛОГИЯ VERSUS ОНТОЛОГИЯ В АНТИЧНОЙ ФИЛОСОФИИ МАТЕМАТИКИ
EPISTEMOLOGY VS ONTOLOGY IN ANCIENT PHILOSOPHY OF MATHEMATICS
Author(s): Vitaly TselishchevSubject(s): Epistemology, Ancient Philosphy, Philosophy of Science, Ontology
Published by: Новосибирский государственный университет
Keywords: Plato; Aristotle; mathematical object; mathematical truth; epistemology; ontology;
Summary/Abstract: This article discusses two alternative concepts of the philosophy of mathematics in ancient philosophy, associated with Plato and Aristotle. The dominant theme in Plato ontological understanding of the eternal nature of mathematical objects is rejected by Aristotle in favor of epistemological procedures in the practice of geometric mathematical proof.
Journal: ΣΧΟΛΗ. Философское антиковедение и классическая традиция
- Issue Year: IX/2015
- Issue No: 2
- Page Range: 380-392
- Page Count: 13
- Language: Russian