By Armand A. Maurer
Twenty-one revised articles on philosophers writing among 1250 and 1350, and essays at the historiography of medieval philosophy.
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Extra resources for Being and Knowing: Studies in Thomas Aquinas and Later Medieval Philosophers (Papers in Medieval Studies)
This is a special, transcendental mathematics, essentially distinct from real mathematics. More recently, V. Smith has stated without qualification that for St. " It is accordingly a science in its own right with an object existing in the physical world. Other Thomists, while conceding that mathematical concepts have a real foundation, stress the role played by the intellect in their formation. In his monumental Les degres du savoir J. Maritain agrees with Gredt in characterizing the object of Euclidean geometry and the arithmetic of whole numbers as entia realia, in distinction to the objects of modern types of mathematics, 5 6 7 8 L.
St. Thomas tells us that a genus is that which is placed first in a definition, being predicated essentially of a subject and having differences which are its qualities. For instance, "animal" is placed first in the definition of man, and it has "biped" or "rational" as its substantial quality. Both the genus and the species signify the whole essence of a thing, although they do so in different ways. The species signifies the whole essence determinately, since it is a name taken from the specific or ultimate form of a thing.
14 38 THOMAS AQUINAS mathematical objects resulting from the abstractive activity of the intellect. As further examples of intentions which the intellect comes upon as a consequence of its way of knowing, St. Thomas mentions privations and negations. Intentions of this kind are secondary objects of the intellect; things themselves are its primary object. The terms used by St. Thomas to describe the intentions of mathematics in the Scriptum text are the same as those with which he describes an ens rationis.
Being and Knowing: Studies in Thomas Aquinas and Later Medieval Philosophers (Papers in Medieval Studies) by Armand A. Maurer