Über das Verhältnis allgemeiner und individueller materieller und mathematischer Gegenstände nach Thomas von Aquin
In: VivariumSearch for other papers by Andrej Krause in
Current site
Google Scholar
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.
Purchase
Buy instant access (PDF download and unlimited online access):
Institutional Login
Log in with Open Athens, Shibboleth, or your institutional credentials
Personal login
Log in with your brill.com account
| All Time | Past 365 days | Past 30 Days | |
|---|---|---|---|
| Abstract Views | 318 | 42 | 6 |
| Full Text Views | 39 | 3 | 0 |
| PDF Views & Downloads | 36 | 3 | 0 |
Über das Verhältnis allgemeiner und individueller materieller und mathematischer Gegenstände nach Thomas von Aquin
In: VivariumSearch for other papers by Andrej Krause in
Current site
Google Scholar
PubMed
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.
| All Time | Past 365 days | Past 30 Days | |
|---|---|---|---|
| Abstract Views | 318 | 42 | 6 |
| Full Text Views | 39 | 3 | 0 |
| PDF Views & Downloads | 36 | 3 | 0 |