commerce; from its shores the products of the east were carried overland to the centre of Europe, thence to England and even to the Baltic coasts. The route by the Caspian and southern Russia, through which a scanty trade between Asia and Europe had been conducted in the dark ages, was henceforth almost entirely neglected. Next to the development of trade due to the crusading movements must be ranked the advance of industry. The products of the east had to be purchased by those of Europe; thus an enormous stimulus was given to manufactures and agriculture. And not only were the old industries developed, but many new ones were actually introduced from the east. From Greece came the manufacture of silk and the cultivation of the mulberry. From Tyre the Venetians learnt the art of making glass, an industry which they retain still, long after the days of their decline. The crusaders introduced from Africa the cultivation of maize and the sugar-cane. In Damascus they learnt notable improvements in the working of metals, and the making of cloth. The increase of trade and manufactures led to the growth and rise of towns, one of the most important results of the crusades. The greatest immediate profit was reaped by the Italian cities, Venice, Pisa, Genoa, Amalfi, etc. Increase of trade and manufactures also brought wealth to the German towns in the valleys of the Danube and the Rhine, to the communes of France, to the trading and manufacturing cities of Flanders, finally to the north German towns, which formed the famous HANSEATIC LEAGUE (q.v.) The traders required protection from lawless oppression and from piracy. This was acquired in the north by combination, in the south by the promulgation of the earliest codes of maritime law, and generally by the acquisition of municipal privileges and independence. The crusades owed their origin to the spirit of religion and of chivalry. They gave the popes a vast increase of secular authority; they led to the institution of religious orders, like the Franciscans, Dominicans, and Carthusians; and of the military orders of the Templars, Hospitallers, and Teutonic Knights. But their ultimate results were fatal to the interests which they at first promoted. The contact with the east gave the first stimulus to the freedom of thought which was destined to destroy the superstitions on which rested the religious unity of Europe. The rise of the burgher class was followed by the rise of the spirit of nationality—both fatal to the class institutions of feudalism and chivalry. The nobles who fought in the crusades were compelled to find money by the sale of privileges to the towns, of their lands to the highest bidder, of freedom to their serfs. The social changes thus produced destroyed the mediaval CULPA. An expression of Roman law expressing the want of proper diligence. The Roman jurists distinguished between culpa levis and culpa lata, and mediæval writers introduced a third degree of culpa which they called culpa levissima. Culpa lata, i.e. gross negligence, was treated nearly in the same way as unlawful intention (dolus). In some contractual and other relations there was no absolute standard for the degree of diligence required; the persons concerned had to give the same amount of care as they were accustomed to give to their own affairs. The omission of this degree of diligence is called culpa in concreto by medieval writers. E. S. CULPEPER, SIR THOMAS, the elder (15781662), author of A Tract against the high rate of Usurie, 1621, which, "presented to the high court of parliament," conduced to the reduction of the legal rate of interest from ten to eight per cent in 1624. The tract was reprinted with additions in 1641. The author meanwhile "set forth another treatise to evince the necessity of reducing money from eight to six" (preface to the Discourse of Sir Thomas Culpeper the younger), namely A Tract against the high rate of Usurie, 1640 (Brit. Mus., 1093 b. 98). The two treatises were reprinted together, with a preface, by Sir Thomas Culpeper the younger, 1688. F. Y. E. CULPEPER, SIR THOMAS, the younger (1626-1697), a worthy son of the elder knight, assailed usury in a Discourse dated 1688. Thomas Manley, gent., answered this discourse, maintaining that "as it is the scarcity of money (and many borrowers) that maketh the high rates of interest, ... so the plenty of money and few borrowers will make the rates low." Culpeper retorted with The necessity of abating Usury reasserted, 1670. Some other publications on the same subject are ascribed to Culpeper (Wood's Athen. Oxon., ch. iv. p. 447). F. Y. E. CULTURE, LARGE AND SMALL. The question of large or small holdings may be treated morally, socially, and economically. Here it will mainly be discussed in the latter aspect. It is the physical formation of a country which chiefly determines the size of holdings. It may be laid down as an axiom that, where the soil and climate are specially adapted for cereals and sheep, and where the physical configuration of the country admits of CULTURE large enclosures, there large holdings are the most productive. On the other hand, where districts are hilly, the soil rocky, the surface broken, or where soil and climate are specially favourable to permanent grass, there small holdings are best. It follows that, as a rule, grass counties have most, and corn counties have fewest, small holdings. But there are exceptions. Near large towns, small holdings will necessarily pay best. A small holding is a relative term. It differs in size when the holding is a market garden, a grass farm, or an arable land. A man may make his living off a very small tract of market-garden land, or off 5 acres of grass. It is doubtful whether an arable farmer, solely dependent upon the produce of the soil, and not engaged in any other profitable occupation, can live on less than 40 acres. All holdings may therefore be considered small which are 50 acres or under. In England there were, in 1887, 294,729 small holdings, consisting in the aggregate of 3,559,000 acres (see Journal of the Statistical Society, February 1887. Paper by Major Craigie on the "Size and Distribution of Agricultural Holdings"). In England, small holdings are undoubtedly increasing. This increase arises from the fall in the price of cereals, the diminished capital of large farmers, the growing number of men who combine farming with other avocations. It cannot be questioned that grain, meat, and wool can be produced more economically upon large farms, and that dairy produce, pork, poultry, eggs, vegetables, are best suited for small holdings. farming is not profitable for small farmers, because the initial outlay is large, the crops precarious, and the profits unreliable. dairying small farmers enjoy no advantage over large. But in pigs, poultry, calf-rearing, vegetables, where minute care and attention secure safe and quick returns, the advantage is all in favour of small holdings. In these limited products, small farms are economically preferable to large, and chiefly for these reasons. While labour has increased in price and deteriorated in quality, small farmers hire no labourers and employ the best that is procurable their own. Again, the depression in prices has most particularly affected the produce of large farms, and has fallen comparatively lightly on the produce of small holdings, which is also of a more varied kind. The eggs of large farmers are in one basket, and the bottom has either fallen out or is rickety. The eggs of small farmers are stored in several baskets and the bottoms are relatively secure. Again, small farmers, selling direct to consumers, not only feel the fall of prices less, but eliminate the profits of middlemen. Lastly, small farmers are under fewer temptations to extravagance. They are more frugal and more industrious. They are sparing Fruit In 471 of everything except their labour, prodigal of nothing but themselves. Employing no hired labour, practising mixed husbandry, rearing stock instead of feeding them, often enjoying common rights, doing the work of two labourers and eating the food of one, small farmers weather storms which wreck their richer brethren. But It it is a false argument that small farmers are necessarily more profitable to the community than large farmers, because the former pay higher rents. They undoubtedly pay higher rents; but they do so because the competition for holdings of this class is especially keen, because the expenses of buildings, approaches, hedges, and repairs are far heavier on small than on large farms, and because the land devoted to small farms is, as compared with ordinary agricultural land, what may be called accommodation land. In point of material comfort, wage-earning labourers in constant employment are better off than small farmers, whether they own or occupy the soil. cannot, for instance, be questioned that the English agricultural labourer is better housed, better fed, and better clothed than the French peasant proprietor. Wherever a peasant proprietary prevails, except under most favourable conditions, the rural populations live hard, fare hard, and are on the border-line of starvation. In point of production, the product per acre in England exceeds that of any country on the continent except East Flanders. In point of agricultural science, English farming is, speaking generally, more advanced than in countries where the small culture of peasant proprietors prevails. Belgium affords a noticeable example of the stagnation which is produced by the multiplication of small cultivators. Half a century ago the agriculture of Belgium was the first in Europe. Since then the size of the farms has decreased, and the number of small farmers continuously increased. Enterprise and experiment diminished with the extension of la petite culture. Farming has rather retrograded than advanced; the stock, and especially the sheep, have decreased; the small farmer only raises, and only eats, pork. In point of pauperism, rural England has fewer paupers than countries where small culture is the rule. In Prussia the number of peasant heads of families exempted from direct taxation because their earnings are less than £25 a year, amounted in 1888 to nearly 7 millions. In France 3 millions out of the 7 million proprietors are unable to contribute largely to state objects by reason of poverty. In point of encumbrances, the soil of England is less burdened with mortgages than the land of countries farmed by small cultivating owners. In France, for example, the real owners of the soil are local money-lenders, and in some departments 80 per cent of the land is said to be mortgaged. Small culture cannot be regarded 472 CUM DIVIDEND CURRENCY DOCTRINE OR PRINCIPLE as an agricultural panacea. It can only thrive | Joseph Lowe to give a steady value to money in England under the economic conditions [Reports to the Royal Commission on Agricul- CURRENCY. This word is sometimes em- contracts through reference to the prices of [Jevons, Investigations in Currency and Fin- CURRENCY DOCTRINE OR PRINCIPLE. CURVES at the will of the holder, coupled, it should be understood, with such provisions as would secure the holder from loss under any circumstances, would prevent the notes of banks from being issued in excess. Sir R. Peel might have added that this opinion of his own was also in opposition to that of Mr. Huskisson. Sir R. Peel referred in the speech quoted above to the BULLION COMMITTEE REPORT (q.v.) which, it should be pointed out, was made during the period of suspension of specie payments, and recommended a return to payments in specie as a cure for the evils deprecated. Sir R. Peel was by far the most powerful supporter of this doctrine, which is of importance as laying down a principle unknown before-namely that it is essential that the bank notes circulating in a country should always conform in amount to the metallic circulation which they represent, see above-the result of the acceptance of which has been the separation of the banking department from the issue department of the Bank of England (see BANK OF ENGLAND). The doctrine has never, it should be mentioned, found general acceptance with economists. It marks the difference between those who regard bank notes as 66 'money," and those who consider them, in the words of Huskisson, as "circulating credit," and a "substitute for money in the transactions of the community" (Huskisson on the Depreciation of the Currency). While insisting, and properly, on adequate security being given for the bank note, the currency doctrine leaves out of sight the operation of all other instruments of credit, equally effective in their way, as bank notes, on price and the movements of commodities. [See books referred to under BULLION COMMITTEE. Evidence before Committee on Banks of Issue, House of Commons, 1840-41.-Committee on Bank Acts, House of Commons, 1857.-Tracts and other publications on "Metallic and Paper Currency," printed by Lord Overstone, 1837-57.Speeches of Sir R. Peel on "Bank Charter," House of Commons, May 6, 20, etc., 1844, etc.] CURVES are amongst the most useful appliances which mathematics lends to the social sciences. The curves most frequently employed in this way are plane curves: such as AB in the annexed figures; referred to rectangular axes OX and OY in such wise that the curve represents the interdependence of two variable quantities Ox and Oy, the change in one of the variables Oy which attends a change in the other variable Ox. Two species of curve may be distinguished: (1) where the quantitative relation between the variables is not supposed to be numerically ascertained, the datum being of an indefinite character, as that Ox continually increases with the decrease of Oy; and (2) where the curve is the record of statistical observations. 473 economics; where the data are in general quantitative indeed but not numerical, e.g. that the demand for a commodity increases as its price decreases. Jevons's hope of obtaining demand curves by statistical observation (Theory, Introduction, p. 23, 2nd ed.), may appear chimerical. There is one datum of the kind indicated which curves are specially adapted to represent, the property of increase at a decreasing rate, which is at the root of the two most exact theories in political economy, viz. the law of rent and the law of final utility. This important relation is simply expressed by means of a curve concave towards the axis OX such as AB in Fig. 1. In this case the quantity represented by the YI a descending curve such as AB in Fig. 2, if one quantity is represented by the area contained between the right lines OY, Ox, xp, and the curve AB. This quantity continually increases with the increase of Ox, but at a decreasing rate. To represent such relations curves appear a more potent aid than ordinary language, and perhaps even than algebraic symbols. Diagrams are preferred before symbols by Prof. Marshall (Principles of Economics, preface to first edition). "The use of the (1) The first kind of curve is used in abstract latter [diagrams] requires no special know 474 CURVES-CUSTOM: CUSTOMS DUTIES ledge, and they often express the conditions of economic life more accurately as well as more easily than do mathematical symbols." It may be observed, however, that, as compared with FUNCTIONS (q.v.), curves have a somewhat limited use. They are almost restricted to the simple case of two variables. Thus in the theory of rent, a curve happily represents the returns yielded by successive applications of doses of outlay, as in Jevons's illustration (Theory of Political Economy, ch. vi.) Or, according to a construction which De Quincey appears to have been the first to use, the successive parts of one co-ordinate Ox may represent qualities of land (arranged in a descending order), while the corresponding values of Oy stand for the returns made to equal capitals applied to each portion of land (ep. Prof. Marshall, Principles of Economics, p. 483, 2nd ed.) But, when it is attempted to combine these two constructions, as the present writer has done (British Association Report for 1886), the unfamiliar ideas of solids and surfaces are introduced; and clearness is sacrificed. To take another example (the DEMAND CURVES, q.v.) so much extolled by recent economists, are available only on the hypothesis that, while the price of the article under consideration varies, the prices of all other articles remain constant (Auspitz und Lieben Theorie der Preise). But this is a somewhat narrow hypothesis, excluding the important cases of " competing" and "completing" commodities (ibid.), | as we may call those articles which are related either on the one hand, as beef and mutton, or on the other hand, as tea and sugar. such cases a symbolic expression representing the advantage of the consumer as a function of his purchases is much more helpful than a curve. Again, in the theory of distribution the profits of the entrepreneur, depending on the one hand on the sales of finished products, and on the other hand on the expenses of production, wages, interest and rent, and so forth, is better represented by a function of several variables than by a curve. A curve may be best adapted to the Ricardian first approximation that the profits on successive doses of capital are equal. But it is not so easy to represent geometrically the modifications of this conception which a nearer view requiresthat the profits of an entrepreneur are not proportional to the amount of capital employed, that the wages of a labourer are in a certain sense just equal to the product of his labour (Marshall, Principles of Economics, 2nd ed. vol. i. p. 566). Such theories appear to the present writer to flow more naturally from the analytical calculus of maxima and minima than from any use of curves. For further observations as to the use of curves in economics, see FUNCTIONS and MATHEMATICAL METHOD. In (2) Of the curves obtained by statistical | x1 the lengths px, qx2 гx sx etc., represent the quantities of some variable under observation at finite (not infinitesimal) intervals of time, space, or other variable. Cases in which the registration is continuous, as in some meteorological observations, are rare in social statistics. (As to the use of curves in statistics see the GRAPHICAL METHOD and STATISTICS.) F. Y. E. CUSTODI, PIETRO (1771-1846), born near Novara. He was by profession a lawyer, but soon entered into journalism and directed the paper Amico della libertà Italiana. He became privy councillor and baron. The History of Milan by Pietro Verri was continued by Custodi; as an economist he is widely known as the editor of a collection of the principal Italian economists in fifty volumes. M. P. CUSTODIA. An expression of Roman law denoting a special duty of taking care of a bailed object (see BAILEE). E. S. Duties CUSTOM CUSTOMS DUTIES. charged by law upon commodities imported into or exported from a country. The duties of customs" seem to have been called customs, as denoting customary payments which had been in use from time immemorial; they appear to have been originally considered as taxes upon the profits of merchants" (Wealth of Nations, bk. v. chap. ii. art. iv.) As early as 1336, however, complaints were made by the producers of wool, at that time the most important dutiable article, that the intended special taxation of merchants was not effected by customs duties, and from 1344, when the price of wool ceased to be fixed by law, such duties were for a long period supported by merchants, and opposed by the agricultural classes. 1490, a "retaliatory" and additional duty imposed on malmsey wine imported from Crete "until the Venetians should abate their new impositions," was the first step in the long series of duties imposed for other than revenue purposes, and eventually mainly for the protection and encouragement of home industries. In In |