@article{2992947,
    title = "Aristotle on Potential Density",
    author = "Anapolitanos, D.A. and Christopoulou, D.",
    journal = "Axiomathes",
    year = "2021",
    volume = "31",
    number = "1",
    publisher = "Springer Science and Business Media B.V.",
    issn = "1122-1151, 1572-8390",
    doi = "10.1007/s10516-020-09476-w",
    abstract = "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."
}