Über Das verhältnis allgemeiner und individueller materieller und mathematischer gegenstände nach Thomas Von aquin

Vivarium 46 (2):155-174 (2008)
Abstract
This article examines one aspect of Thomas Aquinas' understanding of abstraction. It shows in which way, according to Aquinas, universal material objects and individual material objects are the starting point for mathematical objects. It comes to the conclusion that for Aquinas there are not only universal mathematical objects (circle, line), but also individual mathematical objects (this circle, that line). Universal mathematical objects are properties of universal material objects and individual mathematical objects are properties of individual material objects. One type of abstractio formae leads from individual material objects to universal mathematical objects, a second type from universal material objects to universal mathematical objects, and a third type from individual material objects to individual mathematical objects. Therefore, the concept of abstractio formae is ambiguous.
Keywords ABSTRACTIO FORMAE   UNIVERSAL MATHEMATICAL OBJECTS   INDIVIDUAL MATHEMATICAL OBJECTS   INDIVIDUAL MATERIAL OBJECTS   UNIVERSAL MATERIAL OBJECTS
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