96. Measures

Another increment of civilization due to the Babylonians is a series of metric standardizations. These include the division of the circle into three hundred and sixty degrees, of the day into twenty-four (originally twelve) hours, of the hour into sixty minutes, of the foot into twelve inches, and the pound—as it survives in our troy weight—into twelve ounces. It is apparent that the system involved in these measures is based on the number twelve and its multiple sixty. The weights current in the ancient Near East also increased by sixties. On these weights were based the ancient money values. The Greek mina, Hebrew maneh, approximately a pound, comprised sixty shekels (or a hundred Athenian drachmas), and sixty minas made a talent. A talent of silver and one of gold possessed different values, but the weight was the same. This system the Greeks derived from Asia Minor and Phœnicia. Their borrowing of the names, as well as the close correspondence of the actual weight of the units, evidences their origin in Babylonia or adjacent Aramæa.

The duodecimal method of reckoning was carried west, became deeply ingrained during the Roman Empire, and has carried down through the Middle Ages to modern times. It would be going too far to say that every division of units of measure into twelve parts can be traced directly to Babylonia. Now and then new standards were arbitrarily fixed and new names given them. But even when this occurred, the old habit of reckoning by twelves for which the Babylonians were responsible, was likely to reassert itself in competition with the decimal system. Modern coinage systems have become prevailingly decimal, but it is only a short time ago that in south Germany 60 kreuzer still made a gulden; and the twelve pence of the English shilling obviously suggest themselves.

Certain of these metric units became fixed more than two thousand years ago and have descended to us by an unbroken tradition. The Babylonian degrees, minutes, and seconds, for instance, became an integral part of the ancient astronomy, were taken up by the Greeks, incorporated by them in their development of the system of astronomy known as the Ptolemaic, and thus became a part of Roman, Arab, and mediæval European science. When a few centuries ago, beginning with the introduction of the Copernican point of view, astronomy launched forward into a new period of progress, the old system of reckoning was so deeply rooted that it was continued without protest. Had the first truly scientific beginnings of astronomy taken place as late as those of chemistry, it is extremely doubtful whether we should now be reckoning 360 degrees in the circumference of the circle. The decimal system would almost certainly have been applied.

The last few examples may give the impression that cultural diffusion takes place largely in regard to names and numbers. They may arouse the suspicion that the intrinsic elements of inventions and accomplishments are less readily spread. This is not the case. In fact it has happened time and again in the history of civilization that the substance of an art or a knowledge has passed from one people to another, while an entirely new designation for the acquisition has been coined by the receiving people. The English names of the seven days of the week (§ [125]) are a case in point. If stress seems to have been laid here on names and numbers, it is not because they are more inclined to diffusion, or most important, but because their diffusion is more easily traced. They often provide an infallible index of historical connection when a deficiency of historical records would make it difficult, perhaps impossible, to prove that the common possession of the thing itself went back to a single source. If historical records are silent, as they are only too often, on the origin of a device among a people, the occurrence of the same device at an earlier time among another people may strongly suggest that it was transmitted from these. But the indication is far from constituting a proof because of the theoretical possibility that the later nation might have made the invention independently. It is chiefly when the device is complex and the relation of its parts identical that the probability of diffusion approaches surety. If however not only the thing but its name also are shared by distinct nations, doubt is removed. It is obvious that peoples speaking unrelated languages will not coincide one time in a thousand in using the same name for the same idea independently of each other. The play of accident is thus precluded in such cases and a connection by transmission is established. In fact the name is the better touchstone. An invention may be borrowed and be given a home-made name. But a foreign name would scarcely be adopted without the object being also accepted.