Aristotle on Potential Density

Επιστημονική δημοσίευση - Άρθρο Περιοδικού uoadl:2992947 12 Αναγνώσεις

Μονάδα:
Ερευνητικό υλικό ΕΚΠΑ
Τίτλος:
Aristotle on Potential Density
Γλώσσες Τεκμηρίου:
Αγγλικά
Περίληψη:
In this paper we attempt to clear out the ground concerning the Aristotelian notion of density. Aristotle himself appears to confuse mathematical density with that of mathematical continuity. In order to enlighten the situation we discuss the Aristotelian notions of infinity and continuity. At the beginning, we deal with Aristotle’s views on the infinite with respect to addition as well as to division. In the sequel, we focus our attention to points and discuss their status with respect to the actuality–potentiality distinction. Then we focus our attention to the nature of continuity, which Aristotle tends to consider as leading to infinite divisibility and potential density of the extended. © 2020, Springer Nature B.V.
Έτος δημοσίευσης:
2021
Συγγραφείς:
Anapolitanos, D.A.
Christopoulou, D.
Περιοδικό:
Axiomathes
Εκδότης:
Springer Science and Business Media B.V.
Τόμος:
31
Αριθμός / τεύχος:
1
Επίσημο URL (Εκδότης):
DOI:
10.1007/s10516-020-09476-w
Το ψηφιακό υλικό του τεκμηρίου δεν είναι διαθέσιμο.