According to the latest authorities, the doctrine of universals which convulsed the schools of the twelfth century has never received an adequate answer. What is a species? what is a genus or a family or an order? More or less convenient terms of classification, about which the twelfth century cared very little, while it cared deeply about the essence of classes! Science has become too complex to affirm the existence of universal truths, but it strives for nothing else, and disputes the problem, within its own limits, almost as earnestly as in the twelfth century, when the whole field of human and superhuman activity was shut between these barriers of substance, universals, and particulars. Little has changed except the vocabulary and the method. The schools knew that their society hung for life on the demonstration that God, the ultimate universal, was a reality, out of which all other universal truths or realities sprang. Truth was a real thing, outside of human experience. The schools of Paris talked and thought of nothing else. John of Salisbury, who attended Abelard's lectures about 1136, and became Bishop of Chartres in 1176, seems to have been more surprised than we need be at the intensity of the emotion. "One never gets away from this question," he said. "From whatever point a discussion starts, it is always led back and attached to that. It is the madness of Rufus about Naevia; 'He thinks of nothing else; talks of nothing else, and if Naevia did not exist, Rufus would be dumb.'"

Abelard began it. After his first visit to Paris in 1100, he seems to have passed several years elsewhere, while Guillaume de Champeaux in 1108, retired from the school in the cloister of Notre Dame, and, taking orders, established a class in a chapel near by, afterwards famous as the Abbaye-de-Saint-Victor. The Jardin des Plantes and the Gare d'Orleans now cover the ground where the Abbey stood, on the banks of the Seine outside the Latin Quarter, and not a trace is left of its site; but there William continued his course in dialectics, until suddenly Abelard reappeared among his scholars, and resumed his old attacks. This time Abelard could hardly call himself a student. He was thirty years old, and long since had been himself a teacher; he had attended William's course on dialectics nearly ten years before, and was past master in the art; he had nothing to learn from William in theology, for neither William nor he was yet a theologist by profession. If Abelard went back to school, it was certainly not to learn; but indeed, he himself made little or no pretence of it, and told with childlike candour not only why he went, but also how brilliantly he succeeded in his object:—

I returned to study rhetoric in his school. Among other controversial battles, I succeeded, by the most irrefutable argument, in making him change, or rather ruin his doctrine of universals. His doctrine consisted in affirming the perfect identity of the essence in every individual of the same species, so that according to him there was no difference in the essence but only in the infinite variety of accidents. He then came to amend his doctrine so as to affirm, not the identity any longer, but the absence of distinction—the want of difference—in the essence. And as this question of universals had always been one of the most important questions of dialectics—so important that Porphyry, touching on it in his Preliminaries, did not dare to take the responsibility of cutting the knot, but said, "It is a very grave point,"—Champeaux, who was obliged to modify his idea and then renounce it, saw his course fall into such discredit that they hardly let him make his dialectical lectures, as though dialectics consisted entirely in the question of universals.

Why was this point so "very grave"? Not because it was mere dialectics! The only part of the story that seems grave today is the part that Abelard left out; the part which Saint Bernard, thirty years later put in, on behalf of William. We should be more credulous than twelfth-century monks, if we believed, on Abelard's word in 1135, that in 1110 he had driven out of the schools the most accomplished dialectician of the age by an objection so familiar that no other dialectician was ever silenced by it—whatever may have been the case with theologians—and so obvious that it could not have troubled a scholar of fifteen. William stated a settled doctrine as old as Plato; Abelard interposed an objection as old as Aristotle. Probably Plato and Aristotle had received the question and answer from philosophers ten-thousand years older than themselves. Certainly the whole of philosophy has always been involved in the dispute.

The subject is as amusing as a comedy; so amusing that ten minutes may be well given to playing the scene between William and Abelard, not as it happened, but in a form nearer our ignorance, with liberty to invent arguments for William, and analogies—which are figures intended to serve as fatal weapons if they succeed, and as innocent toys if they fail—such as he never imagined; while Abelard can respond with his true rejoinder, fatal in a different sense. For the chief analogy, the notes of music would serve, or the colours of the solar spectrum, or an energy, such as gravity—but the best is geometrical, because Euclid was as scholastic as William of Champeaux himself, and his axioms are even more familiar to the schoolboy of the twentieth, than to the schoolman of the twelfth century.

In these scholastic tournaments the two champions started from opposite points—one, from the ultimate substance, God—the universal, the ideal, the type—the other from the individual, Socrates, the concrete, the observed fact of experience, the object of sensual perception. The first champion—William in this instance— assumed that the universal was a real thing; and for that reason he was called a realist. His opponent—Abelard—held that the universal was only nominally real; and on that account he was called a nominalist. Truth, virtue, humanity, exist as units and realities, said William. Truth, replied Abelard, is only the sum of all possible facts that are true, as humanity is the sum of all actual human beings. The ideal bed is a form, made by God, said Plato. The ideal bed is a name, imagined by ourselves, said Aristotle. "I start from the universe," said William. "I start from the atom," said Abelard; and, once having started, they necessarily came into collision at some point between the two.

William of Champeaux, lecturing on dialectics or logic, comes to the question of universals, which he says, are substances. Starting from the highest substance, God, all being descends through created substances by stages, until it reaches the substance animality, from which it descends to the substance humanity: and humanity being, like other essences or substances, indivisible, passes wholly into each individual, becoming Socrates, Plato, and Aristotle, much as the divine substance exists wholly and undivided in each member of the Trinity.

Here Abelard interrupts. The divine substance, he says, operates by laws of its own, and cannot be used for comparison. In treating of human substance, one is bound by human limitations. If the whole of humanity is in Socrates, it is wholly absorbed by Socrates, and cannot be at the same time in Plato, or elsewhere. Following his favourite reductio ad absurdum, Abelard turns the idea round, and infers from it that, since Socrates carries all humanity in him, he carries Plato, too; and both must be in the same place, though Socrates is at Athens and Plato in Rome.

The objection is familiar to William, who replies by another commonplace:—

"Mr. Abelard, might I, without offence, ask you a simple matter? Can you give me Euclid's definition of a point?"