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INTRODUCTION.

ALL art is founded in science, and the science is of little value which does not serve as a foundation to some beneficial art. On the most sublime of all sciences, theology and ethics, is built the most important of all arts, the art of living. The abstract mathematical sciences serve as a ground-work to the arts of the land-measurer and the accountant; and in conjunction with natural philosophy, including geography and astronomy, to those of the architect, the navigator, the dialist, and many others. Of what consequence anatomy is to surgery, and that part of physiology which touches the laws of gravitation and of motion, is to the artificer, is a matter too obvious to need illustration. The general remark might, if necessary, be exemplified throughout the whole circle of arts, both useful and elegant. Valuable knowledge therefore always lead to some practical skill, and is perfected in it. On the other hand, the practical skill loses much of its beauty and extensive utility, which does not originate in knowledge. There is by consequence a natural relation between the sci

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ences and the arts, like that which subsists between the parent and the offspring.

I ACKNOWLEDGE indeed that these are sometimes unnaturally separated; and that, by the mere influence of example on the one hand, and imitation on the other, some progress may be made in an art, without the knowledge of the principles from which it sprang. By the help of a few rules, which men are taught to use mechanically, a good practical arithmetician may be formed, who neither knows the reasons on which the rules he works by were first established, nor ever thinks it of any moment to enquire into them. In like manner, do we not frequently meet with expert artisans, who are ignorant of the six mechanical powers, which, though in the exercise of their profession they daily employ, they do not understand the principles whereby, in any instance, the result of their application is ascertained? The propagation of the arts may therefore be compared more justly to that variety which takes place in the vegetable kingdom, than to the uniformity which obtains universally in the animal world; for, as to the anomalous race of zoophytes, I do not comprehend them in the number. It is not always necessary that the plant spring from the seed, a slip from another plant will often answer the purpose. There is, however, a very considerable differ

ence in the expectations that may justly be raised from the different methods followed in the acquisition of the art. Improvements, unless in extraordinary instances of genius and sagacity, are not to be expected from those who have acquired all their dexterity from inclination and habit. One who has had an education no better than an ordinary mechanic, may prove an excellent manual operator; but it is only in the well-instructed mechanician, that you would expect to find a good machinist. The analogy to vegetation above suggested, holds here also. The off-set is commonly no more than a mere copy of the parent plant. It is from the seed only you can expect, with the aid of proper culture, to produce new varieties, and even to make improvements on the species.

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Expert men," says Lord Bacon, can execute and

judge of particulars, one by one; but the general "counsels, and the plots and marshalling of affairs, "come best from those that are learned."

INDEED, in almost every art, even as used by mere practitioners, there are certain rules, as hath been already hinted, which must carefully be followed, and which serve the artist instead of principles. An acquaintance with these is one step, and but one step towards science. Thus in the common books of arithmetic, intended solely for practice, the rules laid

down for the ordinary operations, as for numeration, or numerical notation, addition, subtraction, multiplication, division, and a few others, which are sufficient for all the purposes of the accountant, serve instead of principles; and, to a superficial observer, may be thought to supersede the study of any thing further. But their utility reaches a very little way, compared with that which results from the knowledge of the foundations of the art, and of what has been, not unfitly, styled arithmetic universal. It may be justly said, that, without some portion of this knowledge, the practical rules had never been invented. Besides, if by these the particular questions which come exactly within the description of the rule may be solved, by the other such general rules themselves, as serve for the solution of endless particulars, may be discovered.

THE Case I own is somewhat different with those arts which are entirely founded on experiment and observation, and are not derived, like pure mathematics, from abstract and universal axioms. But even in these, when we rise from the individual to the species, from the species to the genus, and thence to the most extensive orders and classes, we arrive, though in a different way, at the knowledge of general truths, which, in a certain sense, are also scientific, and an

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