After reviewing various formulations of the problems of universals and individuation, this essay considers the dialectic that informs the relationship between the two. This dialectic involves a distinction between a realist theory of universals that satisfies the requirements of science but fails to account for the non-instantiability of individuals and a nominalist theory of universals that fails to satisfy the requirements of science but accounts for the non-instantiability of individuals. Inadequacies found in one view tend to motivate movement to the (...) other view. But, like a pendulum swing, this movement inevitably involves facing what motivated the original view. This dialectic is illustrated by a consideration of the views of five medieval authors: Boethius, Peter Abelard, Thomas Aquinas, John Duns Scotus, and William of Ockham. (shrink)

Peter Abelard (1079 – 21 April 1142) [‘Abailard’ or ‘Abaelard’ or ‘Habalaarz’ and so on] was the pre-eminent philosopher and theologian of the twelfth century. The teacher of his generation, he was also famous as a poet and a musician. Prior to the recovery of Aristotle, he brought the native Latin tradition in philosophy to its highest pitch. His genius was evident in all he did. He is, arguably, the greatest logician of the Middle Ages and is equally famous as (...) the first great nominalist philosopher. He championed the use of reason in matters of faith (he was the first to use ‘theology’ in its modern sense), and his systematic treatment of religious doctrines are as remarkable for their philosophical penetration and subtlety as they are for their audacity. Abelard seemed larger than life to his contemporaries: his quick wit, sharp tongue, perfect memory, and boundless arrogance made him unbeatable in debate — he was said by supporter and detractor alike never to have lost an argument — and the force of his personality impressed itself vividly on all with whom he came into contact. His luckless affair with Héloïse made him a tragic figure of romance, and his conflict with Bernard of Clairvaux over reason and religion made him the hero of the Enlightenment. For all his colourful life, though, his philosophical achievements are the cornerstone of his fame. (shrink)

“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)