“The dearness of everything,” says Hume, “from plenty of money, is a disadvantage, which attends an established commerce, and sets bounds to it in every country, by enabling the poorer states to undersell the richer in all foreign markets.”[119] “Where coin is in greater plenty; as a greater quantity of it is required to represent the same quantity of goods; it can have no effect, either good or bad, taking a nation within itself; any more than it would make an alteration on a merchant’s books, if, instead of the Arabian method of notation, which requires few characters, he should make use of the Roman, which requires a great many. Nay, the greater quantity of money, like the Roman characters, is rather inconvenient, and requires greater trouble both to keep and transport it.”[120] In order to prove anything, Hume should have shown that under a _given_ system of notation the quantity of characters used does not depend on the magnitude of the numbers, but that on the contrary, the magnitude of the numbers depends on the quantity of the characters used. It is perfectly true that there is no advantage in estimating or “counting” values of commodities in depreciated gold and silver, and that is the reason why nations have always found it more convenient with the growth of the value of the commodities in circulation to count in silver in preference to copper, and in gold rather than in silver. In proportion as the nations became richer, they converted the less valuable metals into subsidiary coin and the more valuable ones into money. Furthermore, Hume forgets that in order to count values in gold and silver, it is not necessary that either gold or silver should be “on hand.” Money of account and the medium of circulation are identical with him and both are “coin.” Hume concludes that a rise or fall of prices depends on the quantity of money in circulation, because a change in the value of the measure of value, i. e. of the precious metals which serve as money of account, causes a rise or fall of prices and, consequently, also a change in the amount of money in circulation, the rapidity of the latter remaining the same. That not only the quantity of gold and silver increased in the sixteenth and seventeenth centuries, but that the cost of their production had declined at the same time, Hume could know from the closing up of the European mines. In the sixteenth and seventeenth centuries the prices of commodities increased in Europe with the influx of the mass of American gold and silver; hence the prices of commodities in every land are determined by the mass of gold and silver to be found there. This was Hume’s first “necessary consequence.”[121] In the sixteenth and seventeenth centuries prices had not risen uniformly with the increase of the quantity of precious metals; more than half a century passed before _any_ change in prices became perceptible, and even then it took a long time before