“The problem of universals” in general is a historically variable bundle of several closely related, yet in different conceptual frameworks rather differently articulated metaphysical, logical, and epistemological questions, ultimately all connected to the issue of how universal cognition of singular things is possible. How do we know, for example, that the Pythagorean theorem holds universally, for all possible right triangles? Indeed, how can we have any awareness of a potential infinity of all possible right triangles, given that we could only (...) see a finite number of actual ones? How can we universally indicate all possible right triangles with the phrase ‘right triangle’? Is there something common to them all signified by this phrase? If so, what is it, and how is it related to the particular right triangles? The medieval problem of universals is a logical, and historical, continuation of the ancient problem generated by Plato's (428-348 B.C.) theory answering such a bundle of questions, namely, his theory of Ideas or Forms. (shrink)

In this paper I argue that Aquinas’ account of analogy provides resources for resolving the prima facie conflict between his claims that (1) the divine relations constituting the persons are “one and the same” with the divine essence; (2) the divine persons are really distinct, (3) the divine essence is absolutely simple. Specifically, I argue that Aquinas adopts an analogical understanding of the concepts of being and unity, and that these concepts are implicit in his formulation of claims about substance (...) and relation in the Trinity. I then show how Aquinas appeals to key structural features of analogical concepts, notably, the simpliciter/secundum quid characterization, to resolve apparent conflicts between the unity of substance and distinction of relations in the Trinity. (shrink)

This paper primarily aims to provide a coherent interpretation of several, apparently conflicting claims made by Aquinas concerning the semantic function of the copula. The paper also argues that these claims can properly be understood only if they are interpreted as forming a coherent part of Aquinas' larger theory of the analogy of being. The Appendix sketches a model theoretical semantics for the reconstruction of Aquinas' relevant ideas, providing the technical means for setting apart the various senses of the verb (...) 'est' and its cognates distinguished by Aquinas. (shrink)