Lukáš Novák

The purpose of this article is to compare the Thomist and the Scotist theory of relations. The main feature of the Thomist theory is an effort to minimize the ontological import of the specific essential ratio of relation as such, called esse ad, and to reduce the ontological import of its other aspect, the esse in or inherence understood as a common feature of all accidents, to the esse in of its foundation. The Scotists, on the other hand, have no tendency to deflate the esse ad of a relation. Moreover, according to Malafossa of Barge’s theory (adopted by B. Mastri and B. Belluto), a relation involves two different instances of esse in. The one, called esse in velut in subiecto, is that generic inherence common to all accidents (which, therefore, does not occur in the substantial relations of divine persons). The other, esse in velut in fundamento, belongs specifically to relation as such and reflects the fact that very relation, even a substantial one, is not only a relation towards something, but necessarily also a relation of something towards something else. In spite of the fact, therefore, that the Thomist and Scotist doctrines are usually grouped together as mere subvariants of anti-reductive realism, they must be regarded as substantially different.

P. Sousedík and D. Svoboda, in their paper “Různá pojetí matematiky u vybraných autorů od antiky po raný novověk: Je matematika teoretická věda nebo pouhá technika?”, proposed an interpretation of Aquinas’s understanding of the nature of mathematics which the author regards as unsatisfactory. The purpose of this review article is to point out its problems and to suggest in its stead an adequate interpretation of Aquinas’s mind, on the basis of a detailed analysis of his texts. The author shows that Aquinas was by no means an instrumentalist in mathematics but considered mathematical truths to be directly applicable to “physical matter”. Such an application takes place in sciences like astronomy, harmonics or optics, which, although sometimes subsumed under mathematics broadly conceived, nevertheless form a special category qua the so-called “middle sciences” (viz. situated between mathematics and physics) and are thus no true species of mathematics. The fact that these sciences are also regarded as “arts” does not preclude their scientific character at all, since the two categories are not mutually exclusive, according to St. Thomas.

John Punch (or Ponce; Latin Joannes Poncius, or, occasionally, Pontius, 1599/1603–1661), an Irish Franciscan in exile, unorthodox Scotist and a skilled collaborator of the famous Luke Wadding, is interesting for his fresh and open-minded approach to traditional Scotist doctrines. His take on the theory of relations, which is the topic of this paper, is no exception. As I will show, in his Integer philosophiae cursus ad mentem Scoti1 he only pretends to be defending a doctrine considered to be traditionally "Scotist," his true mind being apparently quite different.In Punch's time, several competing theories of relations were in currency. The basic insight common, at least as a point of departure, to all scholastics... Read More.