Φιλοσοφική θεώρηση της μαθηματικής επιστήμης ως αποδεικτικής

Φιλοσοφική θεώρηση της μαθηματικής επιστήμης ως αποδεικτικής

This item is provided by the institution :
Academy of Athens   

Repository :
Research Centre for Greek Philosophy   

see the original item page
in the repository's web site and access all digital files of the item*
use
the file or the thumbnail according to the license:
CC BY-NC-SA 4.0

Attribution-NonCommercial-ShareAlike
CC_BY_NC_SA



Φιλοσοφική θεώρηση της μαθηματικής επιστήμης ως αποδεικτικής

Βασιλείου, Φίλων

The theory of science had been initiated by Aristotle in his Posterior Analytics. It might be said in general that Aristotle identifies here this theory with mathematics. The inquiry about his first principles of science, which cannot be known by demonstration (deduction) and which is the basis of the theory of science, had been discussed by Aristotle in a separate book following his Analytics. Of course, this inquiry is a metaphysical one. From Aristotle’s point of view, the faculty of intuitive reason based on experience is that through which one begins to grasp those principles. Aristotle’s underlying theory is to be found on Euclid’s Elements, written a generation later. On the other hand more recent theories of science, such as Descartes’, Leibniz’ and Kant’s, have a great affinity with the ancient theory. It seems therefore that this theory dominated for many centuries scientific as well as philosophical thought. The aim of the present paper is to examine, following a consideration of the earlier aspects, the recent thesis of mathematical theory as deductive science and to investigate how current philosophical development contributed towards this thesis.

Επετηρίδα


1977


Επιστημολογία
Αποδεικτική
Μαθηματικά
Συστηματική Φιλοσοφία


Text

Greek
English




*Institutions are responsible for keeping their URLs functional (digital file, item page in repository site)