TY - JOUR
TI - Aristotle on Potential Density
AU - Anapolitanos, D.A.
AU - Christopoulou, D.
JO - Axiomathes
PY - 2021
VL - 31
TODO - 1
SP - null
PB - Springer Science and Business Media B.V.
SN - 1122-1151, 1572-8390
TODO - 10.1007/s10516-020-09476-w
TODO - null
TODO - 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.
ER -