Dual, in grammar, that number which is used, in some languages, to designate two things, whilst another number (the plural) exists to express many. The Greek, Sanskrit, and Gothic among ancient languages, and the Lithuanian and Arabic among modern, possess forms of the verb and noun in which two persons or things are denoted, called the dual numbers.

Du´alism, the philosophical exposition of the nature of things by the hypothesis of two dissimilar primitive principles not derived from each other. Dualism in religion is chiefly confined to the adoption of a belief in two fundamental beings, a good and an evil one, as is done in some Oriental religions, especially that of Zoroaster. In metaphysics, dualism is the doctrine of those who maintain the existence of matter and form, or mind and matter, as distinct substances, in opposition to idealism, which maintains that we have no knowledge or assurance of the existence of anything but our own ideas or sensations. Dualism may correspond with realism in maintaining that our ideas of things are true transcripts of the originals, or rather of the qualities inherent in them, the spirit acting as a mirror and reflecting their true images; or it may hold that, although produced by outward objects, we have no assurance that in reality these at all correspond to our ideas of them, or even that they produce the same idea in two different minds. Among modern philosophers Professor W. M‘Dougall and Bergson have defended the doctrine of dualism. See Monism.—Bibliography: J. Ward, The Realm of Ends; W. James, Essays in Radical Empiricism; H. Bergson, Matter and Memory.

Dubail, Augustin Edmond, French general, born at Belfort 15th April, 1851. He served in the Franco-Prussian War, and was for many years colonel of a Zouave regiment in Algeria. Chief of the Staff of the French army in 1914, he commanded the First Army operating in Alsace-Lorraine, and successfully defended Nancy. Appointed Military Governor of Paris in 1915, he held this post until June, 1918.

Du Barry, Marie Jeanne Bécu, Comtesse, mistress of Louis XV, was born at Vaucouleurs in 1743. She came young to Paris, and was presented to the king in 1769, who had her married for form's sake to the Comte du Barry. She exercised a powerful influence at court, and with some of her confidants completely ruled the king. Important offices and privileges were in her gift, and the courtiers abased themselves before her. After the death of Louis she was dismissed from court and sent to live in a convent near Meaux. She received a pension from Louis XVI. During the reign of terror she was arrested as a Royalist and executed, Nov., 1793.—Cf. N. Williams, Madame du Barry.

Dubit´za, a fortified town of Bosnia, in Yugo-Slavia, on the right bank of the Unna, about 10 miles from its confluence with the Save. In the sixteenth and seventeenth centuries it was a frequent point of contention between Austria and Turkey. In 1878, with the rest of Bosnia, it passed under Austrian administration. Pop. 3260.—Dubitza, in Croatia, on the opposite bank of the Unna, has 6660 inhabitants.

Dub´lin, the metropolis of Ireland, is situated in County Dublin, on the east coast of the island, at the mouth of the Liffey, the banks of which for more than 2 miles from the sea are lined with quays. The river, which divides the city into two unequal parts, is crossed by numerous bridges. In the old part of the city the streets are irregular, narrow, and filthy; in the more modern and aristocratic quarters there are fine streets, squares, and terraces, but with little pretension to architectural merit. The public buildings, however, are especially numerous and handsome. The main thoroughfare, east to west, is by the magnificent quays along the Liffey. The principal street at right angles to the river is Sackville Street, a splendid street 650 yards long and 40 yards wide, forming a thoroughfare which is continued across the river by O'Connell Bridge, a magnificent structure the same width as Sackville Street. The principal public secular buildings are the castle, the official residence of the viceroy; the Bank of Ireland, formerly the Irish Parliament House; Trinity College; the custom-house, destroyed in 1921; the King's Inns; the post office; rotunda; corn exchange; commercial buildings; the mansion house; and the city hall or corporation buildings. The most important literary and scientific institutions are Trinity College (Dublin University); the National University of Ireland; the Royal College of Science; the Catholic University; the College of Surgeons; the Royal Dublin Society; the Royal Hibernian Academy of Painting, Sculpture, and Architecture; the Royal Irish Academy for Promoting the Study of Science, Literature, and Antiquities; the Archæological Society; and the Royal Zoological Society. Dublin contains two Protestant Episcopal cathedrals—St. Patrick's Cathedral, erected in 1190, and thoroughly restored between 1860 and 1865, through the munificence of Sir Benjamin Lee Guinness; and Christ's Church, built in 1038 and restored between 1870 and 1877, the restoration being carried out at the expense of Henry Roe. The Roman Catholic Cathedral is a very large edifice. The charitable institutions are numerous, and some

of them possess splendid buildings. There are several extensive military and constabulary barracks in the city and vicinity. A little north-west of the city, up the Liffey, is the Phœnix Park, with an area of 1759 acres. In it are the Viceregal Lodge, the usual residence of the King's representative; the Chief Secretary's and Under-Secretary's official residences; the Royal Hibernian Military School; and the depot of the Royal Irish Constabulary; as also the gardens of the Royal Zoological Society. The manufactures carried on are of little note: poplins, for which Dublin has been long celebrated, are still in some request, and brewing and distilling are largely carried on. Since 1918 Dublin returns seven members to the House of Commons. The Sinn Fein members, however, elected in 1918, never attended the Imperial Parliament. Serious risings occurred in Dublin at Easter 1916, in 1919, and 1920, and there were also disorders in May 1921. Dublin is an ancient town, but its early history is obscure. It was held by the Danes for more than three centuries from 836. Pop. 399,000 (1919). The county, which is in the province of Leinster, on the east coast of the island, has an area of 218,873 acres, about a third of it under crops of various kinds, chiefly grass and clover. The surface on the whole is flat, but the ground rises at its southern boundary into a range of hills, the highest of which—Kippure—is 2473 feet above the sea. There is about 70 miles of sea-coast, the chief indentation being Dublin Bay. The principal stream is the Liffey, which intersects the county west to east. Important water communications are the Royal and the Grand Canals, both centering in Dublin, and uniting the Liffey with the Shannon. The manufactures are unimportant, but the fisheries are extensive. Since 1918 the county returns four members to the House of Commons. Pop. 172,394; Dublin (county borough), 304,802.—Cf. D. A. Chart, The Story of Dublin.

Dublin, University of, an institution founded in 1591, when a charter, or letters-patent, was granted by Queen Elizabeth for the incorporation of the "College of the Holy and Undivided Trinity", the University and Trinity College being practically the same. The corporation now consists of a provost, seven senior fellows, twenty-six junior fellows, and seventy foundation scholars. The Senate of the university consists of "the chancellor of the university, or in his absence, of the vice-chancellor, and such doctors or masters of the university as shall have and keep their names on the books of Trinity College". The Senate possesses the right of electing the chancellor of the university; it is also the body which grants degrees. The fellows are appointed for life, after an examination. The scholars are chosen from among the undergraduates, after an examination in mathematics and logic, or in Greek, Latin, and logic. The scholarships are tenable for five years, or till the degree of M.A. is attained. The course of general instruction extends over four years. The academical year is divided into three terms—Michaelmas, Hilary, and Trinity—and every student must keep at least two terms in each year in order to obtain a degree. The system of instruction is superintended by the fellows, both junior and senior, together with a large staff of professors in the various departments of science and literature. Eighteen of the junior fellows act as tutors, and every student must place himself under one of these on entering the college. The B.A. degree is given after examination in the usual subjects, and may be a pass or honours degree; the M.A., as at Oxford and Cambridge, is gained by the payment of a fee after a certain time has elapsed. There are also a law school, a medical school, and a school of engineering, and degrees are granted in these subjects, as well as in arts and divinity. The college possesses a library of about 285,000 printed volumes and 1700 manuscripts. It has also a botanic garden and museum. In 1613 James I granted to the university the right of returning two members to Parliament. One was taken away at the Union, but was restored by the Reform Bill of 1832. The number of students in 1920 was 1350.—Cf. Dublin University Calendar.

Dubno, a town of the Ukraine, government of Volhynia. It was a place of some importance before the annexation of Western Poland by Russia. During the European War it was recaptured in the Russian advance in June, 1916. Pop. 14,000.

Dubois (du˙-bwä), Guillaume, a French cardinal, was the son of an apothecary, born in 1656, died 1723. He became tutor to the Duke of Chartres, afterwards Duke of Orleans and Regent, and maintained his influence by pandering to the vices of his pupil. He became Privy Councillor and overseer of the duke's household, and Minister for Foreign Affairs under the regency. The archbishopric of Cambrai having become vacant, Dubois ventured to request it of the regent, although he was not even a priest. The regent was astonished at his boldness; but he obtained the post, having in one morning received all the clerical orders, and, a few days after, the archbishopric. By his consummate address he obtained a cardinal's hat, and in 1721 was appointed Prime Minister. Dubois was an avaricious, lying, licentious creature, yet clever and industrious, and able to make himself very agreeable where it suited his interest.