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Such are some of the chief characteristics of magic. Yet with these granted, it remains, like superstition or religion, a vague term at best. The reader may disagree with me as to exactly what beliefs and practices should be included under it, and it is indeed a nice question just where magic begins and ends. Much of alchemy, for example, was nothing but chemistry of a rude sort, and perhaps even its theories that metals may be transmuted and life greatly prolonged will some day prove to have had much truth in them. On the other hand, alchemy was based to a considerable extent on a belief that plants, animals and minerals have properties and powers which they cannot have; and if we ever do succeed in making gold or putting off old age, it is quite certain that such a consummation will never be accomplished by the fantastic methods which alchemists usually employed. Similarly we shall see that the practice of allegorical interpretation of past writings and the Pythagorean doctrine of numbers, which perhaps at first thought one would not regard as magic at all, nevertheless bear at least some resemblance to it. But after all our thesis is not to establish a certain definition for the word “magic,” or to prove that such and such ideas and acts are magical. A name signifies little, and the word magic has had too many different meanings in different periods and for different men to allow any one to assert with confidence that he has found an absolutely correct definition. I employ the word simply because it seems the most convenient, most intelligible and most justifiable term for denoting a number of beliefs which I believe are all intimately related and which are the marks of a certain attitude towards the world.

So much for the definition of magic and for the nature of its origin. But the discussion of these two points does not fully explain the meaning of the beliefs which were illustrated in our first chapter. We have yet to bring out the full significance of the presence of such notions in the minds of mediaeval thinkers and scientists.

It was stated above that the outcome of magic is praeter-natural, marvelous; but this statement, while in one sense perfectly true, requires some qualification. Perhaps to inexperienced primitive man the results which he wished to accomplish or the crude theories on which he based his operations seemed nothing remarkable. Perhaps incantation seemed to him the natural way to bring rain, and sorcery the sole cause of disease. But as time went on and observation taught men, it must have been impressed upon their minds that either the events they sought to produce, or the methods by which they sought to produce them, were a little out of the ordinary, although of the possibility of the events and of the validity of the methods they still remained convinced. If we wish to sum up the whole history of magic in a sentence, we may say that men first regarded magic as natural, then as marvelous, then as impossible and absurd. Evidently then magic.is subjective, as anything false must be. To-day in the thought of educated and sensible people it is limited in actual significance to stage illusions; once it was a universal attitude towards the universe. As one false hypothesis after another was superseded by true notions, the content of magic narrowed in men’s minds until at last it became an acknowledged deception. Meanwhile its mistaken premises and strange proceedings first mingled with and then vanished into science and scientific methods.

This, then, is the significance of the beliefs of which we were speaking in the first chapter. They are phenomena in that union — or struggle — of magic and science which marked the decay of the former and the development of the latter. As such, they warn us not to picture a magician to ourselves as armed with a wand, clad in solemn robes, and attended by a black cat. They warn us, on the other hand, not to regard the learned students of nature, mathematics and medicine in ages past as modern scientists in mind and spirit, who were merely handicapped by such obstacles as crude instruments and want of data. We perceive the anachronism involved in explaining away as mere passing fancies, personal eccentricities or anomalous beliefs the superstitious or bizarre notions of those to whom tradition has accorded great fame. We are warned to consider carefully whether such notions were not ingrained in the very being of those men and characteristic of their whole mental attitude.

Science and magic are very unlike, but even the distinction between East and West varies according to where the speaker takes his stand. We have come to regard science as abstract truth, scientific investigation as necessarily correct and sensible; we forget that science has a past. In their actual history science and magic were not unassociated. Scientists might accept magical doctrines and magic might endeavor to classify its fancies and to account for them by natural causes. Roger Bacon could regard the attainment of magical results as the great end of experimental science. Francis Bacon could place magic in the same category with metaphysics and physics.

It is with this mingling of magic and science — or more broadly of magic with learning in general — in the history of our Western world that this essay has to do. It is a theme of no narrow interest. Such ideas as have been cited, not only held by the most learned men of the times but incorporated in their scientific and philosophical systems — in so far as they had any — deserve consideration in the history of science and philosophy as well as in that of magic, or in an investigation of the mental make-up of the men of the past.

While, however, the place of magic in the intellectual history of Europe is our general subject, the present essay is far from being an attempt at a complete treatment of it. The aim is rather to illustrate that theme by a survey of learning during the period of the Roman Empire, when the divers threads of the thought and knowledge of the ancient world were to some extent united. The prominence of magic in mediaeval science is perhaps better known and more generally admitted. Accordingly this essay will take for granted, except in so far as it has been illustrated in our first chapter, the presence of magic in mediaeval learning, and will try to show that magical doctrines, credulity, mysticism, and love of the marvelous were not traits peculiar to mediaeval thought, but that in this respect (as in others) there was close resemblance, probably strict continuity between the Roman world and later times. It was largely in order to bring out this resemblance, continuity and influence that the beliefs of various writers in the Middle Ages and early modern times were given in the first chapter. Let the reader compare them with those notions of men in the Roman Empire which will presently be set forth. If we are justified in thus regarding the Roman world as summarizing ancient science and helping to explain mediaeval thought, we evidently, in taking our stand in that period secure a broad prospect and ought to obtain a fair idea of the place of magic in the intellectual history of Europe. In defining the field which we are to cover, it should be further said that Christian thought will not come into our discussion, since it did not greatly influence science and other secular learning until the close of the Roman Empire. Lastly, it should be clearly understood that we are here concerned with magic only as connected with science and with learning — only as accepted by educated men.