FOOTNOTES:

[1]

James, Lord Hamilton = Princess Mary Stuart,

(d. 1479). | daughter of James II.

|

James, Lord Hamilton and 1st earl of Arran

(d. c. 1529).

|

James, duke of Chatelherault, and 2nd earl of Arran

(d. 1575).

|

James, 3rd earl of Arran

(d. 1609).

|

John, 1st marquess of Hamilton

(d. 1604).

|

James, 2nd marquess of Hamilton

(d. 1625).

|

James, 3rd marquess and 1st duke of Hamilton.

[2] See S. R. Gardiner in the _Dict. of Nat. Biography_.

[3] See S. R. Gardiner in the _Dict. of Nat. Biography_.

HAMILTON, JOHN (c. 1511-1571), Scottish prelate and politician, was a

natural son of James Hamilton, 1st earl of Arran. At a very early age he

became a monk and abbot of Paisley, and after studying in Paris he

returned to Scotland, where he soon rose to a position of power and

influence under his half-brother, the regent Arran. He was made keeper

of the privy seal in 1543 and bishop of Dunkeld two years later; in 1546

he followed David Beaton as archbishop of St Andrews, and about the same

time he became treasurer of the kingdom. He made vigorous efforts to

stay the growth of Protestantism, but with one or two exceptions

"persecution was not the policy of Archbishop Hamilton," and in the

interests of the Roman Catholic religion a catechism called _Hamilton's

Catechism_ (published with an introduction by T. G. Law in 1884) was

drawn up and printed, possibly at his instigation. Having incurred the

displeasure of the Protestants, now the dominant party in Scotland, the

archbishop was imprisoned in 1563. After his release he was an active

partisan of Mary queen of Scots; he baptized the infant James,

afterwards King James VI., and pronounced the divorce of the queen from

Bothwell. He was present at the battle of Langside, and some time later

took refuge in Dumbarton Castle. Here he was seized, and on the charge

of being concerned in the murders of Lord Darnley and the regent Murray

he was tried, and hanged on the 6th of April 1571. The archbishop had

three children by his mistress, Grizzel Sempill.

HAMILTON, PATRICK (1504-1528), Scottish divine, second son of Sir

Patrick Hamilton, well known in Scottish chivalry, and of Catherine

Stewart, daughter of Alexander, duke of Albany, second son of James II.

of Scotland, was born in the diocese of Glasgow, probably at bis

father's estate of Stanehouse in Lanarkshire. He was educated probably

at Linlithgow. In 1517 he was appointed titular abbot of Ferne,

Ross-shire; and it was probably about the same year that he went to

study at Paris, for his name is found in an ancient list of those who

graduated there in 1520. It was doubtless in Paris, where Luther's

writings were already exciting much discussion, that he received the

germs of the doctrines he was afterwards to uphold. From Alexander Ales

we learn that Hamilton subsequently went to Louvain, attracted probably

by the fame of Erasmus, who in 1521 had his headquarters there.

Returning to Scotland, the young scholar naturally selected St Andrews,

the capital of the church and of learning, as his residence. On the 9th

of June 1523 he became a member of the university of St Andrews, and on

the 3rd of October 1524 he was admitted to its faculty of arts. There

Hamilton attained such influence that he was permitted to conduct as

precentor a musical mass of his own composition in the cathedral. But

the reformed doctrines had now obtained a firm hold on the young abbot,

and he was eager to communicate them to his fellow-countrymen. Early in

1527 the attention of James Beaton, archbishop of St Andrews, was

directed to the heretical preaching of the young priest, whereupon he

ordered that Hamilton should be formally summoned and accused. Hamilton

fled to Germany, first visiting Luther at Wittenberg, and afterwards

enrolling himself as a student, under Franz Lambert of Avignon, in the

new university of Marburg, opened on the 30th of May 1527 by Philip,

landgrave of Hesse. Hermann von dem Busche, one of the contributors to

the _Epistolae obscurorum virorum_, John Frith and Tyndale were among

those whom he met there. Late in the autumn of 1527 Hamilton returned to

Scotland, bold in the conviction of the truth of his principles. He went

first to his brother's house at Kincavel, near Linlithgow, in which town

he preached frequently, and soon afterwards he married a young lady of

noble rank, whose name has not come down to us. Beaton, avoiding open

violence through fear of Hamilton's high connexions, invited him to a

conference at St Andrews. The reformer, predicting that he was going to

confirm the pious in the true doctrine by his death, resolutely accepted

the invitation, and for nearly a month was permitted to preach and

dispute, perhaps in order to provide material for accusation. At length,

however, he was summoned before a council of bishops and clergy presided

over by the archbishop; there were thirteen charges, seven of which were

based on the doctrines affirmed in the _Loci communes_. On examination

Hamilton maintained that these were undoubtedly true. The council

condemned him as a heretic on the whole thirteen charges. Hamilton was

seized, and, it is said, surrendered to the soldiery on an assurance

that he would be restored to his friends without injury. The council

convicted him, after a sham disputation with Friar Campbell, and handed

him over to the secular power. The sentence was carried out on the same

day (February 29, 1528) lest he should be rescued by his friends, and he

was burned at the stake as a heretic. His courageous bearing attracted

more attention than ever to the doctrines for which he suffered, and

greatly helped to spread the Reformation in Scotland. The "reek of

Patrick Hamilton infected all it blew on." His martyrdom is singular in

this respect, that he represented in Scotland almost alone the Lutheran

stage of the Reformation. His only book was entitled _Loci communes_,

known as "Patrick's Places." It set forth the doctrine of justification

by faith and the contrast between the gospel and the law in a series of

clear-cut propositions. It is to be found in Foxs's _Acts and

Monuments_.

HAMILTON, ROBERT (1743-1829), Scottish economist and mathematician, was

born at Pilrig, Edinburgh, on the 11th of June 1743. His grandfather,

William Hamilton, principal of Edinburgh University, had been a

professor of divinity. Having completed his education at the university

of Edinburgh, where he was distinguished in mathematics, Robert was

induced to enter a banking-house in order to acquire a practical

knowledge of business, but his ambition was really academic. In 1769 he

gave up business pursuits and accepted the rectorship of Perth academy.

In 1779 he was presented to the chair of natural philosophy at Aberdeen

University. For many years, however, by private arrangement with his

colleague Professor Copland, Hamilton taught the class of mathematics.

In 1817 he was presented to the latter chair.

Hamilton's most important work is the _Essay on the National Debt_,

which appeared in 1813 and was undoubtedly the first to expose the

economic fallacies involved in Pitt's policy of a sinking fund. It is

still of value. A posthumous volume published in 1830, _The Progress

of Society_, is also of great ability, and is a very effective

treatment of economical principles by tracing their natural origin and

position in the development of social life. Some minor works of a

practical character (_Introduction to Merchandise_, 1777; _Essay on

War and Peace_, 1790) are now forgotten.

HAMILTON, THOMAS (1789-1842), Scottish writer, younger brother of the

philosopher, Sir William Hamilton, Bart., was born in 1789. He was

educated at Glasgow University, where he made a close friend of Michael

Scott, the author of _Tom Cringle's Log_. He entered the army in 1810,

and served throughout the Peninsular and American campaigns, but

continued to cultivate his literary tastes. On the conclusion of peace

he withdrew, with the rank of captain, from active service. He

contributed both prose and verse to _Blackwood's Magazine_, in which

appeared his vigorous and popular military novel, _Cyril Thornton_

(1827). His _Annals of the Peninsular Campaign_, published originally in

1829, and republished in 1849 with additions by Frederick Hardman, is

written with great clearness and impartiality. His only other work, _Men

and Manners in America_, published originally in 1833, is somewhat

coloured by British prejudice, and by the author's aristocratic dislike

of a democracy. Hamilton died at Pisa on the 7th of December 1842.

HAMILTON, WILLIAM (1704-1754), Scottish poet, the author of "The Braes

of Yarrow," was born in 1704 at Bangour in Linlithgowshire, the son of

James Hamilton of Bangour, a member of the Scottish bar. As early as

1724 we find him contributing to Allan Ramsay's _Tea Table Miscellany_.

In 1745 Hamilton joined the cause of Prince Charles, and though it is

doubtful whether he actually bore arms, he celebrated the battle of

Prestonpans in verse. After the disaster of Culloden he lurked for

several months in the Highlands and escaped to France; but in 1749 the

influence of his friends procured him permission to return to Scotland,

and in the following year he obtained possession of the family estate of

Bangour. The state of his health compelled him, however, to live abroad,

and he died at Lyons on the 25th of March 1754. He was buried in the

Abbey Church of Holyroodhouse, Edinburgh. He was twice married--"into

families of distinction" says the preface of the authorized edition of

his poems.

Hamilton left behind him a considerable number of poems, none of them

except "The Braes of Yarrow" of striking originality. The collection is

composed of odes, epitaphs, short pieces of translation, songs, and

occasional verses. The longest is "Contemplation, or the Triumph of

Love" (about 500 lines). The first edition was published without his

permission by Foulis (Glasgow, 1748), and introduced by a preface from

the pen of Adam Smith. Another edition with corrections by himself was

brought out by his friends in 1760, and to this was prefixed a portrait

engraved by Robert Strange.

In 1850 James Paterson edited _The Poems and Songs of William

Hamilton_. This volume contains several poems till then unpublished,

and gives a life of the author.

HAMILTON, SIR WILLIAM (1730-1803), British diplomatist and

archaeologist, son of Lord Archibald Hamilton, governor of Greenwich

hospital and of Jamaica, was born in Scotland on the 13th of December

1730, and served in the 3rd Regiment of Foot Guards from 1747 to 1758.

He left the army after his marriage with Miss Barlow, a Welsh heiress

from whom he inherited an estate near Swansea upon her death in 1782.

Their only child, a daughter, died in 1775. From 1761 to 1764 he was

member of parliament for Midhurst, but in the latter year he was

appointed envoy to the court of Naples, a post which he held for

thirty-six years--until his recall in 1800. During the greater part of

this time the official duties of the minister were of small importance.

It was enough that the representative of the British crown should be a

man of the world whose means enabled him to entertain on a handsome

scale. Hamilton was admirably qualified for these duties, being an

amiable and accomplished man, who took an intelligent interest in

science and art. In 1766 he became a member of the Royal Society, and

between that year and 1780 he contributed to its Philosophical

Transactions a series of observations on the action of volcanoes, which

he had made, or caused to be made, at Vesuvius and Etna. He employed a

draftsman named Fabris to make studies of the eruption of 1775 and 1776,

and a Dominican, Resina, to make observations at a later period. He

published several treatises on earthquakes and volcanoes between 1776

and 1783. He was a fellow of the Society of Antiquaries and of the

Dilettanti, and a notable collector. Many of his treasures went to

enrich the British Museum. In 1772 he was made a knight of the Bath. The

last ten years of his life presented a curious contrast to the elegant

peace of those which had preceded them. In 1791 he married Emma Lyon

(see the separate article on Lady Hamilton). The outbreak of the French

Revolution and the rapid extension of the revolutionary movement in

Western Europe soon overwhelmed Naples. It was a misfortune for Sir

William that he was left to meet the very trying political and

diplomatic conditions which arose after 1793. His health had begun to

break down, and he suffered from bilious fevers. Sir William was in fact

in a state approaching dotage before his recall, a fact which, combined

with his senile devotion to Lady Hamilton, has to be considered in

accounting for his extraordinary complaisance in her relations with

Nelson. He died on the 6th of April 1803.

See E. Edwards, _Lives of the Founders of the British Museum_ (London,

1870); and the authorities given in the article on Emma, Lady

Hamilton.

HAMILTON, SIR WILLIAM, Bart. (1788-1856), Scottish metaphysician, was

born in Glasgow on the 8th of March 1788. His father, Dr William

Hamilton, had in 1781, on the strong recommendation of the celebrated

William Hunter, been appointed to succeed _his_ father, Dr Thomas

Hamilton, as professor of anatomy in the university of Glasgow; and when

he died in 1790, in his thirty-second year, he had already gained a

great reputation. William Hamilton and a younger brother (afterwards

Captain Thomas Hamilton, q.v.) were thus brought up under the sole care

of their mother. William received his early education in Scotland,

except during two years which he spent in a private school near London,

and went in 1807, as a Snell exhibitioner, to Balliol College, Oxford.

He obtained a first-class _in literis humanioribus_ and took the degree

of B.A. in 1811, M.A. in 1814. He had been intended for the medical

profession, but soon after leaving Oxford he gave up this idea, and in

1813 became a member of the Scottish bar. His life, however, was mainly

that of a student; and the following years, marked by little of outward

incident, were filled by researches of all kinds, through which he daily

added to his stores of learning, while at the same time he was gradually

forming his philosophic system. Investigation enabled him to make good

his claim to represent the ancient family of Hamilton of Preston, and in

1816 he took up the baronetcy, which had been in abeyance since the

death of Sir Robert Hamilton of Preston (1650-1701), well known in his

day as a Covenanting leader.

Two visits to Germany in 1817 and 1820 led to his taking up the study of

German and later on that of contemporary German philosophy, which was

then almost entirely neglected in the British universities. In 1820 he

was a candidate for the chair of moral philosophy in the university of

Edinburgh, which had fallen vacant on the death of Thomas Brown,

colleague of Dugald Stewart, and the latter's consequent resignation,

but was defeated on political grounds by John Wilson (1785-1854), the

"Christopher North" of _Blackwood's Magazine_. Soon afterwards (1821) he

was appointed professor of civil history, and as such delivered several

courses of lectures on the history of modern Europe and the history of

literature. The salary was L100 a year, derived from a local beer tax,

and was discontinued after a time. No pupils were compelled to attend,

the class dwindled, and Hamilton gave it up when the salary ceased. In

January 1827 he suffered a severe loss in the death of his mother, to

whom he had been a devoted son. In March 1828 he married his cousin

Janet Marshall.

In 1829 his career of authorship began with the appearance of the

well-known essay on the "Philosophy of the Unconditioned" (a critique of

Comte's _Cours de philosophie_)--the first of a series of articles

contributed by him to the _Edinburgh Review_. He was elected in 1836 to

the Edinburgh chair of logic and metaphysics, and from this time dates

the influence which, during the next twenty years, he exerted over the

thought of the younger generation in Scotland. Much about the same time

he began the preparation of an annotated edition of Reid's works,

intending to annex to it a number of dissertations. Before, however,

this design had been carried out, he was struck (1844) with paralysis of

the right side, which seriously crippled his bodily powers, though it

left his mind wholly unimpaired. The edition of Reid appeared in 1846,

but with only seven of the intended dissertations--the last, too,

unfinished. It was his distinct purpose to complete the work, but this

purpose remained at his death unfulfilled, and all that could be done

afterwards was to print such materials for the remainder, or such notes

on the subjects to be discussed, as were found among his MSS.

Considerably before this time he had formed his theory of logic, the

leading principles of which were indicated in the prospectus of "an

essay on a new analytic of logical forms" prefixed to his edition of

Reid. But the elaboration of the scheme in its details and applications

continued during the next few years to occupy much of his leisure. Out

of this arose a sharp controversy with Augustus de Morgan. The essay did

not appear, but the results of the labour gone through are contained in

the appendices to his _Lectures on Logic_. Another occupation of these

years was the preparation of extensive materials for a publication which

he designed on the personal history, influence and opinions of Luther.

Here he advanced so far as to have planned and partly carried out the

arrangement of the work; but it did not go further, and still remains in

MS. In 1852-1853 appeared the first and second editions of his

_Discussions in Philosophy, Literature and Education_, a reprint, with

large additions, of his contributions to the _Edinburgh Review_. Soon

after, his general health began to fail. Still, however, aided now as

ever by his devoted wife, he persevered in literary labour; and during

1854-1855 he brought out nine volumes of a new edition of Stewart's

works. The only remaining volume was to have contained a memoir of

Stewart, but this he did not live to write. He taught his class for the

last time in the winter of 1855-1856. Shortly after the close of the

session he was taken ill, and on the 6th of May 1856 he died in

Edinburgh.

Hamilton's positive contribution to the progress of thought is

comparatively slight, and his writings, even where reinforced by the

copious lecture notes taken by his pupils, cannot be said to present a

comprehensive philosophic system. None the less he did considerable

service by stimulating a spirit of criticism in his pupils, by

insisting on the great importance of psychology as opposed to the

older metaphysical method, and not least by his recognition of the

importance of German philosophy, especially that of Kant. By far his

most important work was his "Philosophy of the Unconditioned," the

development of the principle that for the human finite mind there can

be no knowledge of the Infinite. The basis of his whole argument is

the thesis, "To think is to condition." Deeply impressed with Kant's

antithesis between subject and object, the knowing and the known,

Hamilton laid down the principle that every object is known only in

virtue of its relations to other objects (see RELATIVITY OF

KNOWLEDGE). From this it follows limitless time, space, power and so

forth are humanly speaking inconceivable. The fact, however, that all

thought seems to demand the idea of the infinite or absolute provides

a sphere for faith, which is thus the specific faculty of theology. It

is a weakness characteristic of the human mind that it cannot conceive

any phenomenon without a beginning: hence the conception of the causal

relation, according to which every phenomenon has its cause in

preceding phenomena, and its effect in subsequent phenomena. The

causal concept is, therefore, only one of the ordinary necessary forms

of the cognitive consciousness limited, as we have seen, by being

confined to that which is relative or conditioned. As regards the

problem of the nature of objectivity, Hamilton simply accepts the

evidence of consciousness as to the separate existence of the object:

"the root of our nature cannot be a lie." In virtue of this assumption

Hamilton's philosophy becomes a "natural realism." In fact his whole

position is a strange compound of Kant and Reid. Its chief practical

corollary is the denial of philosophy as a method of attaining

absolute knowledge and its relegation to the academic sphere of mental

training. The transition from philosophy to theology, i.e. to the

sphere of faith, is presented by Hamilton under the analogous relation

between the mind and the body. As the mind is to the body, so is the

unconditioned Absolute or God to the world of the conditioned.

Consciousness, itself a conditioned phenomenon, must derive from or

depend on some different thing prior to or behind material phenomena.

Curiously enough, however, Hamilton does not explain how it comes

about that God, who in the terms of the analogy bears to the

conditioned mind the relation which the conditioned mind bears to its

objects, can Himself be unconditioned. He can be regarded only as

related to consciousness, and in so far is, therefore, not absolute or

unconditioned. Thus the very principles of Hamilton's philosophy are

apparently violated in his theological argument.

Hamilton regarded logic as a purely formal science; it seemed to him

an unscientific mixing together of heterogeneous elements to treat as

parts of the same science the formal and the material conditions of

knowledge. He was quite ready to allow that on this view logic cannot

be used as a means of discovering or guaranteeing facts, even the most

general, and expressly asserted that it has to do, not with the

objective validity, but only with the mutual relations, of judgments.

He further held that induction and deduction are correlative processes

of formal logic, each resting on the necessities of thought and

deriving thence its several laws. The only logical laws which he

recognized were the three axioms of identity, non-contradiction, and

excluded middle, which he regarded as severally phases of one general

condition of the possibility of existence and, therefore, of thought.

The law of reason and consequent he considered not as different, but

merely as expressing metaphysically what these express logically. He

added as a postulate--which in his theory was of importance--"that

logic be allowed to state explicitly what is thought implicitly."

In logic, Hamilton is known chiefly as the inventor of the doctrine of

the "quantification of the predicate," i.e. that the judgment "All A

is B" should really mean "All A is _all_ B," whereas the ordinary

universal proposition should be stated "All A is _some_ B." This view,

which was supported by Stanley Jevons, is fundamentally at fault since

it implies that the predicate is thought of in its extension; in point

of fact when a judgment is made, e.g. about men, that they are mortal

("All men are mortal"), the intention is to _attribute a quality_

(i.e. the predicate is used in connotation). In other words, we are

not considering the question "what kind are men among the various

things which must die?" (as is implied in the form "all men are some

mortals") but "what is the fact about men?" We are not stating a mere

identity (see further, e.g., H. W. B. Joseph, _Introduction to Logic_,

1906, pp. 198 foll.).

The philosopher to whom above all others Hamilton professed allegiance

was Aristotle. His works were the object of his profound and constant

study, and supplied in fact the mould in which his whole philosophy

was cast. With the commentators on the Aristotelian writings, ancient,

medieval and modern, he was also familiar; and the scholastic

philosophy he studied with care and appreciation at a time when it had

hardly yet begun to attract attention in his country. His wide reading

enabled him to trace many a doctrine to the writings of forgotten

thinkers; and nothing gave him greater pleasure than to draw forth

such from their obscurity, and to give due acknowledgment, even if it

chanced to be of the prior possession of a view or argument that he

had thought out for himself. Of modern German philosophy he was a

diligent, if not always a sympathetic, student. How profoundly his

thinking was modified by that of Kant is evident from the tenor of his

speculations; nor was this less the case because, on fundamental

points, he came to widely different conclusions.

Any account of Hamilton would be incomplete which regarded him only as

a philosopher, for his knowledge and his interests embraced all

subjects related to that of the human mind. Physical and mathematical

science had, indeed, no attraction for him; but his study of anatomy

and physiology was minute and experimental. In literature alike

ancient and modern he was widely and deeply read; and, from his

unusual powers of memory, the stores which he had acquired were always

at command. If there was one period with the literature of which he

was more particularly familiar, it was the 16th and 17th centuries.

Here in every department he was at home. He had gathered a vast amount

of its theological lore, had a critical knowledge especially of its

Latin poetry, and was minutely acquainted with the history of the

actors in its varied scenes, not only as narrated in professed

records, but as revealed in the letters, table-talk, and casual

effusions of themselves or their contemporaries (cf. his article on

the _Epistolae obscurorum virorum_, and his pamphlet on the Disruption

of the Church of Scotland in 1843). Among his literary projects were

editions of the works of George Buchanan and Julius Caesar Scaliger.

His general scholarship found expression in his library, which, though

mainly, was far from being exclusively, a philosophical collection. It

now forms a distinct portion of the library of the university of

Glasgow.

His chief practical interest was in education--an interest which he

manifested alike as a teacher and as a writer, and which had led him

long before he was either to a study of the subject both theoretical

and historical. He thence adopted views as to the ends and methods of

education that, when afterwards carried out or advocated by him, met

with general recognition; but he also expressed in one of his articles

an unfavourable view of the study of mathematics as a mental

gymnastic, which excited much opposition, but which he never saw

reason to alter. As a teacher, he was zealous and successful, and his

writings on university organization and reform had, at the time of

their appearance, a decisive practical effect, and contain much that

is of permanent value.

His posthumous works are his _Lectures on Metaphysics and Logic_, 4

vols., edited by H. L. Mansel, Oxford, and John Veitch (_Metaphysics_,

1858; _Logic_, 1860); and _Additional Notes to Reid's Works_, from

Sir W. Hamilton's MSS., under the editorship of H. L. Mansel, D.D.

(1862). _A Memoir of Sir W. Hamilton_, by Veitch, appeared in 1869.

HAMILTON, WILLIAM GERARD (1729-1796), English statesman, popularly known

as "Single Speech Hamilton," was born in London on the 28th of January

1729, the son of a Scottish bencher of Lincoln's Inn. He was educated at

Winchester and at Oriel College, Oxford. Inheriting his father's fortune

he entered political life and became M.P. for Petersfield, Hampshire.

His maiden speech, delivered on the 13th of November 1755, during the

debate on the address, which excited Walpole's admiration, is generally

supposed to have been his only effort in the House of Commons. But the

nickname "Single Speech" is undoubtedly misleading, and Hamilton is

known to have spoken with success on other occasions, both in the House

of Commons and in the Irish parliament. In 1756 he was appointed one of

the commissioners for trade and plantations, and in 1761 he became chief

secretary to Lord Halifax, the lord-lieutenant of Ireland, as well as

Irish M. P. for Killebegs and English M. P. for Pontefract. He was

chancellor of the exchequer in Ireland in 1763, and subsequently filled

various other administrative offices. Hamilton was thought very highly

of by Dr Johnson, and it is certain that he was strongly opposed to the

British taxation of America. He died in London on the 16th of July 1796,

and was buried in the chancel vault of St Martin's-in-the-fields.

Two of his speeches in the Irish House of Commons, and some other

miscellaneous works, were published after his death under the title

_Parliamentary Logick_.

HAMILTON, SIR WILLIAM ROWAN (1805-1865), Scottish mathematician, was

born in Dublin on the 4th of August 1805. His father, Archibald

Hamilton, who was a solicitor, and his uncle, James Hamilton (curate of

Trim), migrated from Scotland in youth. A branch of the Scottish family

to which they belonged had settled in the north of Ireland in the time

of James I., and this fact seems to have given rise to the common

impression that Hamilton was an Irishman.

His genius first displayed itself in the form of a wonderful power of

acquiring languages. At the age of seven he had already made very

considerable progress in Hebrew, and before he was thirteen he had

acquired, under the care of his uncle, who was an extraordinary

linguist, almost as many languages as he had years of age. Among these,

besides the classical and the modern European languages, were included

Persian, Arabic, Hindustani, Sanskrit and even Malay. But though to the

very end of his life he retained much of the singular learning of his

childhood and youth, often reading Persian and Arabic in the intervals

of sterner pursuits, he had long abandoned them as a study, and employed

them merely as a relaxation.

His mathematical studies seem to have been undertaken and carried to

their full development without any assistance whatever, and the result

is that his writings belong to no particular "school," unless indeed we

consider them to form, as they are well entitled to do, a school by

themselves. As an arithmetical calculator he was not only wonderfully

expert, but he seems to have occasionally found a positive delight in

working out to an enormous number of places of decimals the result of

some irksome calculation. At the age of twelve he engaged Zerah Colburn,

the American "calculating boy," who was then being exhibited as a

curiosity in Dublin, and he had not always the worst of the encounter.

But, two years before, he had accidentally fallen in with a Latin copy

of _Euclid_, which he eagerly devoured; and at twelve he attacked

Newton's _Arithmetica universalis_. This was his introduction to modern

analysis. He soon commenced to read the _Principia_, and at sixteen he

had mastered a great part of that work, besides some more modern works

on analytical geometry and the differential calculus.

About this period he was also engaged in preparation for entrance at

Trinity College, Dublin, and had therefore to devote a portion of his

time to classics. In the summer of 1822, in his seventeenth year, he

began a systematic study of Laplace's _Mecanique Celeste_. Nothing

could be better fitted to call forth such mathematical powers as those

of Hamilton; for Laplace's great work, rich to profusion in analytical

processes alike novel and powerful, demands from the most gifted student

careful and often laborious study. It was in the successful effort to

open this treasure-house that Hamilton's mind received its final temper,

"Des-lors il commenca a marcher seul," to use the words of the

biographer of another great mathematician. From that time he appears to

have devoted himself almost wholly to original investigation (so far at

least as regards mathematics), though he ever kept himself well

acquainted with the progress of science both in Britain and abroad.

Having detected an important defect in one of Laplace's demonstrations,

he was induced by a friend to write out his remarks, that they might be

shown to Dr John Brinkley (1763-1835), afterwards bishop of Cloyne, but

who was then the first royal astronomer for Ireland, and an accomplished

mathematician. Brinkley seems at once to have perceived the vast talents

of young Hamilton, and to have encouraged him in the kindest manner. He

is said to have remarked in 1823 of this lad of eighteen: "This young

man, I do not say _will be_, but _is_, the first mathematician of his

age."

Hamilton's career at College was perhaps unexampled. Amongst a number of

competitors of more than ordinary merit, he was first in every subject

and at every examination. He achieved the rare distinction of obtaining

an _optime_ for both Greek and for physics. How many more such honours

he might have attained it is impossible to say; but he was expected to

win both the gold medals at the degree examination, had his career as a

student not been cut short by an unprecedented event. This was his

appointment to the Andrews professorship of astronomy in the university

of Dublin, vacated by Dr Brinkley in 1827. The chair was not exactly

offered to him, as has been sometimes asserted, but the electors, having

met and talked over the subject, authorized one of their number, who was

Hamilton's personal friend, to urge him to become a candidate, a step

which his modesty had prevented him from taking. Thus, when barely

twenty-two, he was established at the Observatory, Dunsink, near Dublin.

He was not specially fitted for the post, for although he had a profound

acquaintance with theoretical astronomy, he had paid but little

attention to the regular work of the practical astronomer. And it must

be said that his time was better employed in original investigations

than it would have been had he spent it in observations made even with

the best of instruments,--infinitely better than if he had spent it on

those of the observatory, which, however good originally, were then

totally unfit for the delicate requirements of modern astronomy. Indeed

there can be little doubt that Hamilton was intended by the university

authorities who elected him to the professorship of astronomy to spend

his time as he best could for the advancement of science, without being

tied down to any particular branch. Had he devoted himself to practical

astronomy they would assuredly have furnished him with modern

instruments and an adequate staff of assistants.

In 1835, being secretary to the meeting of the British Association which

was held that year in Dublin, he was knighted by the lord-lieutenant.

But far higher honours rapidly succeeded, among which we may merely

mention his election in 1837 to the president's chair in the Royal Irish

Academy, and the rare distinction of being made corresponding member of

the academy of St Petersburg. These are the few salient points (other,

of course, than the epochs of his more important discoveries and

inventions presently to be considered) in the uneventful life of this

great man. He retained his wonderful faculties unimpaired to the very

last, and steadily continued till within a day or two of his death,

which occurred on the 2nd of September 1865, the task (his _Elements of

Quaternions_) which had occupied the last six years of his life.

The germ of his first great discovery was contained in one of those

early papers which in 1823 he communicated to Dr Brinkley, by whom,

under the title of "Caustics," it was presented in 1824 to the Royal

Irish Academy. It was referred as usual to a committee. Their report,

while acknowledging the novelty and value of its contents, and the

great mathematical skill of its author, recommended that, before being

published, it should be still further developed and simplified. During

the next three years the paper grew to an immense bulk, principally by

the additional details which had been inserted at the desire of the

committee. But it also assumed a much more intelligible form, and the

grand features of the new method were now easily to be seen. Hamilton

himself seems not till this period to have fully understood either the

nature or the importance of his discovery, for it is only now that we

find him announcing his intention of applying his method to dynamics.

The paper was finally entitled "Theory of Systems of Rays," and the

first part was printed in 1828 in the _Transactions of the Royal Irish

Academy_. It is understood that the more important contents of the

second and third parts appeared in the three voluminous supplements

(to the first part) which were published in the same _Transactions_,

and in the two papers "On a General Method in Dynamics," which

appeared in the _Philosophical Transactions_ in 1834-1835. The

principle of "Varying Action" is the great feature of these papers;

and it is strange, indeed, that the one particular result of this

theory which, perhaps more than anything else that Hamilton has done,

has rendered his name known beyond the little world of true

philosophers, should have been easily within the reach of Augustin

Fresnel and others for many years before, and in no way required

Hamilton's new conceptions or methods, although it was by them that he

was led to its discovery. This singular result is still known by the

name "conical refraction," which he proposed for it when he first

predicted its existence in the third supplement to his "Systems of

Rays," read in 1832.

The step from optics to dynamics in the application of the method of

"Varying Action" was made in 1827, and communicated to the Royal

Society, in whose _Philosophical Transactions_ for 1834 and 1835 there

are two papers on the subject. These display, like the "Systems of

Rays," a mastery over symbols and a flow of mathematical language

almost unequalled. But they contain what is far more valuable still,

the greatest addition which dynamical science had received since the

grand strides made by Sir Isaac Newton and Joseph Louis Lagrange. C.

G. J. Jacobi and other mathematicians have developed to a great

extent, and as a question of pure mathematics only, Hamilton's

processes, and have thus made extensive additions to our knowledge of

differential equations. But there can be little doubt that we have as

yet obtained only a mere glimpse of the vast physical results of which

they contain the germ. And though this is of course by far the more

valuable aspect in which any such contribution to science can be

looked at, the other must not be despised. It is characteristic of

most of Hamilton's, as of nearly all great discoveries, that even

their indirect consequences are of high value.

The other great contribution made by Hamilton to mathematical science,

the invention of Quaternions, is treated under that heading. The

following characteristic extract from a letter shows Hamilton's own

opinion of his mathematical work, and also gives a hint of the devices

which he employed to render written language as expressive as actual

speech. His first great work, _Lectures on Quaternions_ (Dublin,

1852), is almost painful to read in consequence of the frequent use of

italics and capitals.

"I hope that it may not be considered as unpardonable vanity or

presumption on my part, if, as my own taste has always led me to feel

a greater interest in _methods_ than in _results_, so it is by

METHODS, rather than by _any_ THEOREMS, which _can_ be separately

_quoted_, that I desire and hope to be remembered. Nevertheless it is

only human nature, to derive _some_ pleasure from being cited, now and

then, even about a 'Theorem'; especially where ... the quoter can

enrich the subject, by combining it with researches of _his own_."

The discoveries, papers and treatises we have mentioned might well

have formed the whole work of a long and laborious life. But not to

speak of his enormous collection of MS. books, full to overflowing

with new and original matter, which have been handed over to Trinity

College, Dublin, the works we have already called attention to barely

form the greater portion of what he has published. His extraordinary

investigations connected with the solution of algebraic equations of

the fifth degree, and his examination of the results arrived at by N.

H. Abel, G. B. Jerrard, and others in their researches on this

subject, form another grand contribution to science. There is next his

great paper on _Fluctuating Functions_, a subject which, since the

time of J. Fourier, has been of immense and ever increasing value in

physical applications of mathematics. There is also the extremely

ingenious invention of the hodograph. Of his extensive investigations

into the solution (especially by numerical approximation) of certain

classes of differential equations which constantly occur in the

treatment of physical questions, only a few items have been published,

at intervals, in the _Philosophical Magazine_. Besides all this,

Hamilton was a voluminous correspondent. Often a single letter of his

occupied from fifty to a hundred or more closely written pages, all

devoted to the minute consideration of every feature of some

particular problem; for it was one of the peculiar characteristics of

his mind never to be satisfied with a general understanding of a

question; he pursued it until he knew it in all its details. He was

ever courteous and kind in answering applications for assistance in

the study of his works, even when his compliance must have cost him

much time. He was excessively precise and hard to please with

reference to the final polish of his own works for publication; and it

was probably for this reason that he published so little compared with

the extent of his investigations.

Like most men of great originality, Hamilton generally matured his

ideas before putting pen to paper. "He used to carry on," says his

elder son, William Edwin Hamilton, "long trains of algebraical and

arithmetical calculations in his mind, during which he was unconscious

of the earthly necessity of eating; we used to bring in a 'snack' and

leave it in his study, but a brief nod of recognition of the intrusion

of the chop or cutlet was often the only result, and his thoughts went

on soaring upwards."

For further details about Hamilton (his poetry and his association

with poets, for instance) the reader is referred to the _Dublin

University Magazine_ (Jan. 1842), the _Gentleman's Magazine_ (Jan.

1866), and the _Monthly Notices of the Royal Astronomical Society_

(Feb. 1866); and also to an article by the present writer in the

_North British Review_ (Sept. 1866), from which much of the above

sketch has been taken. His works have been collected and published by

R. P. Graves, _Life of Sir W. R. Hamilton_ (3 vols., 1882, 1885,

1889). (P. G. T.)

HAMILTON, a town of Dundas and Normanby counties, Victoria, Australia,

on the Grange Burne Creek, 197-1/2 m. by rail W. of Melbourne. Pop.

(1901) 4026. Hamilton has a number of educational institutions, chief

among which are the Hamilton and Western District College, one of the

finest buildings of its kind in Victoria, the Hamilton Academy, and the

Alexandra ladies' college, a state school, and a Catholic college. It

has a fine racecourse, and pastoral and agricultural exhibitions are

held annually, as the surrounding district is mainly devoted to

sheep-farming. Mutton is frozen and exported. Hamilton became a borough

in 1859.

HAMILTON (GRAND or ASHUANIPI), the chief river of Labrador, Canada. It

rises in the Labrador highlands at an elevation of 1700 ft., its chief

sources being Lakes Attikonak and Ashuanipi, between 65 deg. and 66 deg.

W. and 52 deg. and 53 deg. N. After a precipitous course of 600 m. it

empties into Melville Lake (90 m. long and 18 wide), an extension of

Hamilton inlet, on the Atlantic. About 220 m. from its mouth occur the

Grand Falls of Labrador. Here in a distance of 12 m. the river drops 760

ft., culminating in a final vertical fall of 316 ft. Below the falls are

violent rapids, and the river sweeps through a deep and narrow canyon.

The country through which it passes is for the most part a wilderness of

barren rock, full of lakes and lacustrine rivers, many of which are its

tributaries. In certain portions of the valley spruce and poplars grow

to a moderate size. From the head of Lake Attikonak a steep and rocky

portage of less than a mile leads to Burnt Lake, which is drained into

the St Lawrence by the Romaine river.

HAMILTON, one of the chief cities of Canada, capital of Wentworth

county, Ontario. It occupies a highly picturesque situation upon the

shore of a spacious land-locked bay at the western end of Lake Ontario.

It covers the plain stretching between the water-front and the

escarpment (called "The Mountain"), this latter being a continuation of

that over which the Falls of Niagara plunge 40 m. to the west. Founded

about 1778 by one Robert Land, the growth of Hamilton has been steady

and substantial, and, owing to its remarkable industrial development, it

has come to be called "the Birmingham of Canada." This development is

largely due to the use of electrical energy generated by water-power, in

regard to which Hamilton stands first among Canadian cities. The

electricity has not, however, been obtained from Niagara Falls, but from

De Cew Falls, 35 m. S.E. of the city. The entire electrical railway

system, the lighting of the city, and the majority of the factories are

operated by power obtained from this source. The manufacturing interests

of Hamilton are varied, and some of the establishments are of vast size,

employing many thousands of hands each, such as the International

Harvester Co. and the Canadian Westinghouse Co. In addition Hamilton is

the centre of one of the finest fruit-growing districts on the

continent, and its open-air market is a remarkable sight. The municipal

matters are managed by a mayor and board of aldermen. Six steam

railroads and three electric radial roads afford Hamilton ample

facilities for transport by land, while during the season of navigation

a number of steamboat lines supply daily services to Toronto and other

lake ports. Entrance into the broad bay is obtained through a short

canal intersecting Burlington Beach, which is crossed by two swing

bridges, whereof one--that of the Grand Trunk railway--is among the

largest of its kind in the world. Burlington Beach is lined with

cottages occupied by the city residents during the hot summer months.

Hamilton is rich in public institutions. The educational equipment

comprises a normal college, collegiate institute, model school and more

than a score of public schools, for the most part housed in handsome

stone and brick buildings. There are four hospitals, and the asylum for

the insane is the largest in Canada. There is an excellent public

library, and in the same building with it a good art school. Hamilton

boasts of a number of parks, Dundurn Castle Park, containing several

interesting relics of the war of 1812, being the finest, and, as it is

practically within the city limits, it is a great boon to the people.

Gore Park, in the centre of the city, is used for concerts, given by

various bands, one of which has gained an international reputation.

Since its incorporation in 1833 the history of Hamilton has shown

continuous growth. In 1836 the population was 2846; In 1851, 10,248; in

1861, 19,096; in 1871, 26,880; in 1881, 36,661; in 1891, 48,959; and in

1901, 52,634. The Anglican bishop of Niagara has his seat here, and also

a Roman Catholic bishop. Hamilton returns two members to the Provincial

parliament and two to the Dominion.

HAMILTON, a municipal and police burgh of Lanarkshire, Scotland. Pop.

(1891), 24,859; (1901), 32,775. It is situated about 1 m. from the

junction of the Avon with the Clyde, 10-3/4 m. S.E. of Glasgow by road,

and has stations on the Caledonian and North British railways. The town

hall in the Scottish Baronial style has a clock-tower 130 ft. high, and

the county buildings are in the Grecian style. Among the subjects of

antiquarian interest are Queenzie Neuk, the spot where Queen Mary rested

on her journey to Langside, the old steeple and pillory built in the

reign of Charles I., the Mote Hill, the old Runic cross, and the carved

gateway in the palace park. In the churchyard there is a monument to

four covenanters who suffered at Edinburgh, on the 7th of December 1600,

whose heads were buried here. Among the industries are manufactures of

cotton, lace and embroidered muslins, and carriage-building, and there

are also large market gardens, the district being famed especially for

its apples, and some dairy-farming; but the prosperity of the town

depends chiefly upon the coal and ironstone of the surrounding country,

which is the richest mineral field in Scotland. Hamilton originated in

the 15th century under the protecting influence of the lords of

Hamilton, and became a burgh of barony in 1456 and a royal burgh in

1548. The latter rights were afterwards surrendered and it was made the

chief burgh of the regality and dukedom of Hamilton in 1668, the third

marquess having been created duke in 1643. It unites with Airdrie,

Falkirk, Lanark and Linlithgow to form the Falkirk district of burghs,

which returns one member to parliament.

Immediately east of the town is Hamilton palace, the seat of the duke

of Hamilton and Brandon, premier peer of Scotland. It occupies most of

the site of the original burgh of Netherton. The first mansion was

erected at the end of the 16th century and rebuilt about 1710, to be

succeeded in 1822-1829 by the present palace, a magnificent building

in the classical style. Its front is a specimen of the enriched

Corinthian architecture, with a projecting pillared portico after the

style of the temple of Jupiter Stator at Rome, 264 ft. in length and

60 ft. in height. Each of the twelve pillars of the portico is a

single block of stone, quarried at Dalserf, midway between Hamilton

and Lanark, and required thirty horses to draw it to its site. The

interior is richly decorated and once contained the finest collection

of paintings in Scotland, but most of them, together with the Hamilton

and Beckford libraries, were sold in 1882. Within the grounds, which

comprise nearly 1500 acres, is the mausoleum erected by the 10th duke,

a structure resembling in general design that of the emperor Hadrian

at Rome, being a circular building springing from a square basement,

and enclosing a decorated octagonal chapel, the door of which is a

copy in bronze of Ghiberti's gates at Florence. At Barncluith, 1 m.

S.E. of the town, may be seen the Dutch gardens which were laid down

in terraces on the steep banks of the Avon. Their quaint shrubbery and

old-fashioned setting render them attractive. They were planned in

1583 by John Hamilton, an ancestor of Lord Belhaven, and now belong

to Lord Ruthven. About 2 m. S.E. of Hamilton, within the western High

Park, on the summit of a precipitous rock 200 ft. in height, the foot

of which is washed by the Avon, stand the ruins of Cadzow Castle, the

subject of a spirited ballad by Sir Walter Scott. The castle had been

a royal residence for at least two centuries before Bannockburn

(1314), but immediately after the battle Robert Bruce granted it to

Sir Walter FitzGilbert Hamilton, the son of the founder of the family,

in return for the fealty. Near it is the noble chase with its ancient

oaks, the remains of the Caledonian Forest, where are still preserved

some of the aboriginal breed of wild cattle. Opposite Cadzow Castle,

in the eastern High Park, on the right bank of the Avon, is

Chatelherault, consisting of stables and offices, and imitating in

outline the palace of that name in France.

HAMILTON, a village of Madison county, New York, U.S.A., about 29 m.

S.W. of Utica. Pop. (1890), 1744; (1900), 1627; (1905) 1522; (1910)

1689. It is served by the New York, Ontario & Western railway. Hamilton

is situated in a productive agricultural region, and has a large trade

in hops; among its manufactures are canned vegetables, lumber and knit

goods. There are several valuable stone quarries in the vicinity. The

village owns and operates its water-supply and electric-lighting system.

Hamilton is the seat of Colgate University, which was founded in 1819,

under the name of the Hamilton Literary and Theological Institution, as

a training school for the Baptist ministry, was chartered as Madison

University in 1846, and was renamed in 1890 in honour of the Colgate

family, several of whom, especially William (1783-1857), the soap

manufacturer, and his sons, James Boorman (1818-1904), and Samuel

(1822-1897), were its liberal benefactors. In 1908-1909 it had a

university faculty of 33 members, 307 students in the college, 60 in the

theological department, and 134 in the preparatory department, and a

library of 54,000 volumes, including the Baptist Historical collection

(about 5000 vols.) given by Samuel Colgate. The township in which the

village is situated and which bears the same name (pop. in 1910, 3825)

was settled about 1790 and was separated from the township of Paris in

1795. The village was incorporated in 1812.

HAMILTON, a city and the county-seat of Butler county, Ohio, U.S.A., on

both sides of the Great Miami river, 25 m. N. of Cincinnati. Pop.

(1890), 17,565; (1900), 23,914, of whom 2949 were foreign-born; (1910

census), 35,279. It is served by the Cincinnati, Hamilton & Dayton, and

the Pittsburg, Cincinnati, Chicago & St Louis railways, and by

interurban electric lines connecting with Cincinnati, Dayton and Toledo.

The valley in which Hamilton is situated is noted for its fertility. The

city has a fine public square and the Lane free library (1866); the

court house is its most prominent public building. A hydraulic canal

provides the city with good water power, and in 1905, in the value of

its factory products ($13,992,574, being 31.3% more than in 1900),

Hamilton ranked tenth among the cities of the state. Its most

distinctive manufactures are paper and wood pulp; more valuable are

foundry and machine shop products; other manufactures are safes, malt

liquors, flour, woollens, Corliss engines, carriages and wagons and

agricultural implements. The municipality owns and operates the

water-works, electric-lighting plant and gas plant. A stockade fort was

built here in 1791 by General Arthur Saint Clair, but it was abandoned

in 1796, two years after the place had been laid out as a town and named

Fairfield. The town was renamed, in honour of Alexander Hamilton, about

1796. In 1803 Hamilton was made the county-seat; in 1810 it was

incorporated as a village; in 1854 it annexed the town of Rossville on

the opposite side of the river; and in 1857 it was made a city. In 1908,

by the annexation of suburbs, the area and the population of Hamilton

were considerably increased. Hamilton was the early home of William Dean

Howells, whose recollections of it are to be found in his _A Boy's

Town_; his father's anti-slavery sentiments made it necessary for him to

sell his printing office, where the son had learned to set type in his

teens, and to remove to Dayton.

HAMIRPUR, a town and district of British India, in the Allahabad

division of the United Provinces. The town stands on a tongue of land

near the confluence of the Betwa and Jumna, 110 m. N.W. of Allahabad.

Pop. (1901), 6721. It was founded, according to tradition, in the 11th

century by Hamir Deo, a Karchuli Rajput expelled from Alwar by the

Mahommedans.

The district has an area of 2289 sq. m., and encloses the native states

of Sarila, Jigni and Bihat, besides portions of Charkhari and Garrauli.

Hamirpur forms part of the great plain of Bundelkhand, which stretches

from the banks of the Jumna to the central Vindhyan plateau. The

district is in shape an irregular parallelogram, with a general slope

northward from the low hills on the southern boundary. The scenery is

rendered picturesque by the artificial lakes of Mahoba. These

magnificent reservoirs were constructed by the Chandel rajas before the

Mahommedan conquest, for purposes of irrigation and as sheets of

ornamental water. Many of them enclose craggy islets or peninsulas,

crowned by the ruins of granite temples, exquisitely carved and

decorated. From the base of this hill and lake country the general plain

of the district spreads northward in an arid and treeless level towards

the broken banks of the rivers. Of these the principal are the Betwa and

its tributary the Dhasan, both of which are unnavigable. There is little

waste land, except in the ravines by the river sides. The deep black

soil of Bundelkhand, known as _mar_, retains the moisture under a dried

and rifted surface, and renders the district fertile. The staple produce

is grain of various sorts, the most important being gram. Cotton is also

a valuable crop. Agriculture suffers much from the spread of the _kans_

grass, a noxious weed which overruns the fields and is found to be

almost ineradicable wherever it has once obtained a footing. Droughts

and famine are unhappily common. The climate is dry and hot, owing to

the absence of shade and the bareness of soil, except in the

neighbourhood of the Mahoba lakes, which cool and moisten the

atmosphere.

In 1901 the pop. was 458,542, showing a decrease of 11% in the decade,

due to the famine of 1895-1897. Export trade is chiefly in agricultural

produce and cotton cloth. Rath is the principal commercial centre. The

Midland branch of the Great Indian Peninsula railway passes through the

south of the district.

From the 9th to the 12th century this district was the centre of the

Chandel kingdom, with its capital at Mahoba. The rajas adorned the town

with many splendid edifices, remains of which still exist, besides

constructing the noble artificial lakes already described. At the end of

the 12th century Mahoba fell into the hands of the Mussulmans. In 1680

the district was conquered by Chhatar Sal, the hero of the Bundelas, who

assigned at his death one-third of his dominions to his ally the peshwa

of the Mahrattas. Until Bundelkhand became British territory in 1803

there was constant warfare between the Bundela princes and the Mahratta

chieftains. On the outbreak of the Mutiny in 1857, Hamirpur was the

scene of a fierce rebellion, and all the principal towns were plundered

by the surrounding chiefs. After a short period of desultory guerrilla

warfare the rebels were effectually quelled and the work of

reorganization began. The district has since been subject to cycles of

varying agricultural prosperity.

HAMITIC RACES AND LANGUAGES. The questions involved in a consideration

of Hamitic races and Hamitic languages are independent of one another

and call for separate treatment.

I. _Hamitic Races._--The term Hamitic as applied to race is not only

extremely vague but has been much abused by anthropological writers. Of

the few who have attempted a precise definition the most prominent is

Sergi,[1] and his classification may be taken as representing one point

of view with regard to this difficult question.

Sergi considers the Hamites, using the term in the racial sense, as a

branch of his "Mediterranean Race"; and divides them as follows:--

1. _Eastern Branch_--

(a) Ancient and Modern Egyptian (excluding the Arabs).

(b) Nubians, Beja.

(c) Abyssinians.

(d) Galla, Danakil, Somali.

(e) Masai.

(f) Wahuma or Watusi.

2. _Northern Branch_--

(a) Berbers of the Mediterranean, Atlantic and Sahara.

(b) Tibbu.

(c) Fula.

(d) Guanches (extinct).

With regard to this classification the following conclusions may be

regarded as comparatively certain: that the members of groups d, e

and f of the first branch appear to be closely inter-connected by

ties of blood, and also the members of the second branch. The

Abyssinians in the south have absorbed a certain amount of Galla

blood, but the majority are Semitic or Semito-Negroid. The question of

the racial affinities of the Ancient Egyptians and the Beja are still

a matter of doubt, and the relation of the two groups to each other is

still controversial. Sergi, it is true, arguing from physical data

believes that a close connexion exists; but the data are so extremely

scanty that the finality of his conclusion may well be doubted. His

"Northern Branch" corresponds with the more satisfactory term "Libyan

Race," represented in fair purity by the Berbers, and, mixed with

Negro elements, by the Fula and Tibbu. This Libyan race is

distinctively a white race, with dark curly hair; the Eastern Hamites

are equally distinctively a brown people with frizzy hair. If, as

Sergi believes, these brown people are themselves a race, and not a

cross between white and black in varying proportions, they are found

in their greatest purity among the Somali and Galla, and mixed with

Bantu blood among the Ba-Hima (Wahuma) and Watussi. The Masai seem to

be as much Nilotic Negro as Hamite. This Galla type does not seem to

appear farther north than the southern portion of Abyssinia, and it is

not unlikely that the Beja are very early Semitic immigrants with an

aboriginal Negroid admixture. It is also possible that they and the

Ancient Egyptians may contain a common element. The Nubians appear

akin to the Egyptians but with a strong Negroid element.

To return to Sergi's two branches, besides the differences in skin

colour and hair-texture there is also a cultural difference of great

importance. The Eastern Hamites are essentially a pastoral people and

therefore nomadic or semi-nomadic; the Berbers, who, as said above,

are the purest representatives of the Libyans, are agriculturists. The

pastoral habits of the Eastern Hamites are of importance, since they

show the utmost reluctance to abandon them. Even the Ba-Hima and

Watussi, for long settled and partly intermixed with the agricultural

Bantu, regard any pursuit but that of cattle-tending as absolutely

beneath their dignity.

It would seem therefore that, while sufficient data have not been

collected to decide whether, on the evidence of exact anthropological

measurements, the Libyans are connected racially with the Eastern

Hamites, the testimony derived from broad "descriptive

characteristics" and general culture is against such a connexion. To

regard the Libyans as Hamites solely on the ground that the languages

spoken by the two groups show affinities would be as rash and might be

as false as to aver that the present-day Hungarians are Mongolians

because Magyar is an Asiatic tongue. Regarding the present state of

knowledge it would be safer therefore to restrict the term "Hamites"

to Sergi's first group; and call the second by the name "Libyans." The

difficult question of the origin of the ancient Egyptians is discussed

elsewhere.

As to the question whether the Hamites in this restricted sense are a

definite race or a blend, no discussion can, in view of the paucity of

evidence, as yet lead to a satisfactory conclusion, but it might be

suggested very tentatively that further researches may possibly

connect them with the Dravidian peoples of India. It is sufficient for

present purposes that the term Hamite, using it as coextensive with

Sergi's Eastern Hamite, has a definite connotation. By the term is

meant a brown people with frizzy hair, of lean and sinewy physique,

with slender but muscular arms and legs, a thin straight or even

aquiline nose with delicate nostrils, thin lips and no trace of

prognathism. (T. A. J.)

II. _Hamitic Languages._--The whole north of Africa was once inhabited

by tribes of the Caucasian race, speaking languages which are now

generally called, after Genesis x., Hamitic, a term introduced

principally by Friedrich Muller. The linguistic coherence of that race

has been broken up especially by the intrusion of Arabs, whose language

has exercised a powerful influence on all those nations. This splitting

up, and the immense distances over which those tribes were spread, have

made those languages diverge more widely than do the various tongues of

the Indo-European stock, but still their affinity can easily be traced

by the linguist, and is, perhaps, greater than the corresponding

anthropologic similarity between the white Libyan, red Galla and swarthy

Somali. The relationship of these languages to Semitic has long been

noticed, but was at first taken for descent from Semitic (cf. the name

"Syro-Arabian" proposed by Prichard). Now linguists are agreed that the

Proto-Semites and Proto-Hamites once formed a unity, probably in

Arabia. That original unity has been demonstrated especially by

Friedrich Muller (_Reise der osterreichischen Fregatte Novara_, p. 51,

more fully, _Grundriss der Sprachwissenschaft_, vol. iii. fasc. 2, p.

226); cf. also A. H. Sayce, _Science of Language_, ii. 178; R. N. Cust,

_The Modern Languages of Africa_, i. 94, &c. The comparative grammars of

Semitic (W. Wright, 1890, and especially H. Zimmern, 1898) demonstrate

this now to everybody by comparative tables of the grammatical elements.

Encyclopaedia Britannica, 11th Edition, "Haller, Albrecht" to "Harmonium" Volume 12, Slice 8 · 第 9 / 30 题