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.

中文翻译：

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亚里士多德论势密度

在本文中，我们试图澄清有关亚里士多德密度概念的基础。亚里士多德本人似乎将数学密度与数学连续性混淆了。为了说明情况，我们讨论了亚里士多德的无穷大和连续性概念。一开始，我们讨论亚里士多德关于加法和除法的无限观。在续集中，我们将注意力集中在要点上，并讨论它们在现实-潜力区别方面的地位。然后我们将注意力集中在连续性的本质上，亚里士多德倾向于认为这导致了扩展的无限可分性和潜在密度。