I now turn to the topic of music, in interest second to none, but one in

which I must endeavour to make my discussion intelligible to those who

have only a practical knowledge of this subject. In most histories of

Greek art, music is simply omitted; in the special works upon it, there

is much that is not only so difficult, but so dry and technical that the

average student of Greek life can hardly be expected to approach it.

As regards existing specimens, we are just as miserably provided as we

are in the case of painting. We have recovered a few scraps of the

musical notation accompanying poetical words; and as we understand this

notation, it is an easy task to reproduce the so-called melody. We have

also a scrap or two in the notation of instrumental music (apparently an

accompaniment), a notation, strange to say, differing from the oral. But

here the melody is missing. And let me tell you at once that no living

musician could attempt to supply it with the smallest verisimilitude.

The same is the case with our texts of melody. There was a much lauded

hymn found a few years ago on the wall of one of the houses uncovered at

Delphi. In some places the surface of the stone was broken; so that

there were gaps here and there of a bar or two in the music. No living

musician who knows his business would undertake to supply any one of

these gaps.[30] Were it a modern composition, we could with certainty

offer two or three alternatives, and we could exclude a vast number of

restorations as absolutely impossible. Such is not the case with the

Greek specimens we know, neither do they appeal to our modern taste. To

say that these specimens, when played for us, are hideous, is merely the

expression of that violated taste. There are many, perhaps even some in

this audience, who would say the same thing of the plain song which the

present Pope has ordered to be used in Roman Catholic churches to the

exclusion of more modern music.

The real conclusion is that so far Greek music is to us unintelligible;

and yet in all the other arts nothing is more intelligible to modern

minds than the products of Greek taste which are our best and clearest

models. Is it that a highly artistic nation may be wanting in one

particular department? We have before us the case of the modern

Japanese, whose artistic work in most directions is of great excellence

and fully appreciated by the world, but who confess (at least I have

heard one most intelligent native confess) that their music is far below

the level of European compositions. But here we probably start from a

difference of scale, whereas the Greek scales (or at least the diatonic)

are the parents of all modern European scales.

And now that you have before you the actual problem raised by the extant

remnants of Greek music, let us turn to the Greeks themselves, and see

what light their writings throw upon the matter. In the first place

music was not only popular but universal among the Greeks. Those who did

not cultivate it were worse than Shakspere’s “man that has not music in

his soul.” All Greek poetry, even the epic of Homer, was recited

musically; the lyric poets were as much musicians as poets; great

tragedians composed the music for their choral odes, and indeed a Greek

tragedy when performed must have far more resembled an Italian opera

than a play in our sense. This is the combination which Richard Wagner

strove to realise. But to be gifted in two directions of art is indeed

very rare. The music of Æschylus and Sophocles was probably as inferior

to their text as Wagner’s text is inferior to his music. All Greek

educators imply that every boy can learn music; we never hear a word

about want of ear, a want of musical faculty. This was to me in former

years a great puzzle, for, like all of you, I was brought up in a

society where a few had gifts for music, and the remainder were

incapable of singing in time or in tune, or of learning to play an

instrument with intelligence--and so we drifted away from the older

fashion of making at least every girl play or sing as an inevitable

infliction on society, and now only those who show a keen desire for it

spend their time at music. But in the new schools, where choirs are

taught on the tonic _sol-fa_ system, I am informed by the most competent

teachers that an inability to appreciate music, or to sing in tune, is

quite rare, and that the great body of our children can be taught to

make and to appreciate good music. If this be so, the Greeks were again

right, and we in our older generation less wise than they.

In their opinion, this general possibility of learning music was a

necessary condition of another settled conviction among educators, which

is foreign to us--I mean the conviction that the practice of music has a

direct and powerful effect upon the morals of average men. On this point

the Greek educators were very explicit, and it is of great practical

importance to us nowadays to consider what they say. It was not at all

identical with a very widespread belief among modern parents that the

pursuit of music generally is a refined pleasure, and will save the

young from some lower or more mischievous recreation. That view was

quite familiar to the Greeks. But their distinctive theory was this:

that the performing or hearing of certain kinds of music had a direct

effect, either moral or immoral, upon the mind, and that therefore wise

educators must encourage the right sort of music only, and banish the

rest from their pupils. I know very well that there were stray voices,

especially from the Epicurean philosophers, saying that this is all

nonsense, that music can have no such effect, and that the only moral or

immoral part of the performance lies in the words.[31] But this only

shows that the opinion of the vast majority and of the wisest men was

not adopted without criticism, and without the other side of the

question being clearly before them. The modern world is under mental

conditions such as the Epicureans. We have generally assumed that music

as such had no influence in moulding morals. We feel that it may be so

in the accessories--that the constant singing of love duets and the

associating with theatrical company may do harm and the associating with

serious musicians may do good--but modern people seem hardly to dream

that music such as Wagner’s, apart from the words, may have a direct

effect upon morals. And yet it is here that we might have incurred a

great and honourable debt to the Greeks, and have used their wisdom to

save our youth from serious danger. This is a conviction of mine, not of

to-day or yesterday, but of forty years’ standing, derived indeed from

the suggestions of Plato, but verified by frequent contact with music

and musicians. I will here give you one striking illustration. Anyone at

first hearing of Wagner’s _Tristan und Isolde_ would perceive that it

was a most immoral subject, expressed in highly emotional music. It is

an artistic glorification of adultery, palliated by the old and vulgar

excuse of a magical love-potion. All this is so obvious that I wonder

sober people would not keep their children from witnessing the work just

as they endeavour to keep them from reading immoral novels. To me it

seemed even worse, for I could not but perceive, and had often and long

since asserted, that the composer himself wrote the music under the

influence of some such moral aberration, and that, apart from the words,

it was intended to express his criminal longings and disappointments. It

is only a year or two since the correspondence of a lady, published

after her death, showed that this anticipation was literally true, that

these phrases of love-sickness were actually composed and sent to her

because she had awakened in him a passion which she was not wicked

enough to satisfy.

I know there are people who think transcendent genius such as that of

Napoleon, or, in his way, of Wagner, affords a justification, or at

least an excuse, for such lawlessness. And you have heard much talk

about the _Superman_, whose main attribute seems to me _infra_ human,

when the rights of others are concerned. To me the veritable Superman is

not the slave of his own passions, who satisfies them at the expense of

others, but the master of himself, who, because he is pure, feels and

helps the weakness of his neighbours. Not Sir Lancelot but Sir Galahad

is the ideal of chivalry. Of the one,

“His honour rooted in dishonour stood,

And faith unfaithful kept him falsely true”;

but of the other,

“My strength is as the strength of ten, because my heart is pure!”

Perhaps, during this digression, the objection may have been rising in

your minds that if Greek music was so universally believed to have a

moral or immoral influence, this was because it differed wholly in

quality from that which we pursue, and that therefore an inference from

one to the other is very hazardous. This is supported by the fact

already adduced, that the actual remains of Greek music, though legible

and intelligible in the literal sense, have no power whatever to speak

to our musical emotions. We must therefore turn back from practice to

theory and prove to you that, in spite of these difficulties, Greek

music was distinctly the source and forerunner of our own. And I may say

by way of preface to this part of my discourse that the simplicity of

music, far from being a cause of its lesser emotional effect, may be the

very reason why the great mass of people feel it more deeply. The

intricacy and difficulty of our modern music tend to estrange it from

the feelings of the larger public and to confine its influence to the

special class of trained musicians. The Greeks left us no practical work

on music, no criticism of existing compositions, no comparison of the

effects produced on audiences by this or that artist, by this or that

kind of instrument. We find only obvious generalities, such as the flute

being more exciting than the harp. There is indeed one passage where

Plato goes deeper and inveighs against purely instrumental music as more

exciting and therefore possibly more mischievous than vocal music with

an accompaniment, showing that he did not lay the stress of the emotion

upon the words. Those who have gone deeply into modern music will agree

with him; they feel that the emotions produced by a symphony of

Beethoven are more subtle, and, because more subtle, deeper and more

lasting than those produced by any vocal music, unless it be eight-part

music, which approaches the richness of an orchestra.

But this suggestive remark is quite an exception. The extant musical

tracts are wholly theoretical, and are concerned with the scientific

basis of music, not its application to practice. And the first problem

to which they applied themselves, which they solved, and have handed

down to us, their heirs in art, is the determination of the proper scale

or scales in which music should be composed. This was no easy thing to

do, and if you take the trouble to hear the music of any people who have

not adopted the Greek solution, or one like it, you will at once

perceive the difference. I well remember persuading, with great

difficulty, a band of gipsies, in Hungary, to play for me not the music

of the Hungarians, for which they are so celebrated, but some of their

own Oriental stuff, which they play among themselves in private. I found

it wholly unintelligible on account of the scale, which seemed to have

thirteen or fourteen notes within the octave. All this the Greeks had

contemplated, and in some of their early scales they used quarter-tones

and intervals strange and disagreeable to us. But, after much

hesitation, they fixed upon the diatonic scale, which became the basis

of their music, and in due time of ours. The varieties of this scale

which they used were far greater than ours. We are contented with the

variation of major and minor, and repeat the same intervals in the same

order with a mere difference of pitch, very slightly modified by the

temperament of our tuning. The Greeks thought the position of the two

semitones far more important, and considered that the quality of the

scale, quite apart from pitch, was produced by the variety in the

placing of these intervals. But I must repeat that our extant treatises

are so absolutely scientific and not practical that it would be

impossible to attempt an analysis of them in a popular lecture. The

discovery of the scientific basis of concord or harmony and its

difference from discord had been made very early by the Pythagoreans,

and I have often thought that their famous theory that numerical

relations were the key of the universe was much stimulated and fortified

by finding that octaves, fifths, and fourths, which are recognised by

the ear as concords, can be produced by stopping a vibrating string at

the points dividing it into portions represented by 1:2, 2:3, and 3:4.

They did not acknowledge our favorite major ⅓ as a concord, the

proportion being more complex, _viz._ 4:5 or 5:6; and indeed if the

major ⅓ on our instruments be tuned to its full height of two full

tones, it sounds sharp and very disagreeable. In this as in most detail

we can follow and understand the Greek theory. When Aristotle tells us

that the middle note of the scale is that to which the melody always

returns, he is evidently speaking of the unaccompanied melody, and there

are scores of our melodies that move up and down round this keynote,

which may in these cases well represent the central note of the scale.

It is not possible for me to delay longer on this topic. I therefore sum

up the result thus: the Greeks had a music to some extent homogeneous

with ours; they attributed to its varieties great and direct effects on

the morals of men. Seeing that in all their other arts they were so

singularly modern and reasonable, it is surely well worth the careful

consideration of educators whether similar effects be not latent in our

music, _e.g._ whether the study of Handel, Corelli, Palestrina, may not

have a strengthening effect on the mind, whereas the study of Chopin, of

Verdi, even of Beethoven, with all the vague _Weltschmerz_ which they

contain, the unsatisfied longings, the unreasoning discontent, the

suspended harmony, may not contribute directly to the vices of modern

society, vices not unknown in the fashionable cities of this

Commonwealth.

We now turn to the subject of household furniture and decoration, in

which you will find that there are many and the best of our ideas

borrowed from the Greeks.

We have not had the good fortune to unearth a Greek town of the best

epoch from under lava or from beneath the débris of an earthquake. But

it is likely that even if the ruins of Antioch were cleared of the great

rocks that tumbled down upon it, in the many earthquakes of the early

centuries of our era, some splendid houses might be discovered. So far,

however, I do not know that, except at Delos, we have been able to find

clear evidences that the wall decorations and the furniture of a Greek

house were the same in kind as those which a century and a half of

excavation has brought up from the dead in Pompeii and Herculaneum.

These towns, as well as Naples, which was well known to Cicero as an

essentially Greek town, were in close proximity to Puteoli, which again

was for several centuries the great port for all Alexandrian luxuries

since the second Ptolemy had made friends with the Romans. Through

Puteoli, then, Greek artists and Greek designs made their way to that

coast, and even the worship of Isis, and the frequent use of the ibis

and the crocodile in their designs, show that the Hellenistic artists

had felt the influence of native Egyptian work, just as the workman of

the French “Empire” felt the breath of old Egypt, when Napoleon’s

Commission brought out its splendid work on that mysterious country.

Although, therefore, all the little texts scrawled upon the walls by

children are in Latin, I take it the furniture and decoration of the

smart houses or villas uncovered are in Greek style, and may thus give

us some suggestion of the inside of a Greek house. And let me add at

once, that the discoveries of such ruins and remains at Rome in the time

of the Renaissance moulded all the taste of that age, and produced house

decoration, in direct imitation of the antique, which has been copied

down to the present day.

NOTE.--I thought that I could not bring before the audience the

character of this decoration adequately, except by showing some of

the designs, and some of the furniture, on a screen. Some of the

pictures were taken from Niccolini’s magnificent _Art of Pompeii_

(Naples, 1876-92), the Curator having allowed me to use the

expensive process of photographing in colours, in order to show not

only the design, but the rich colours of the Pompeian walls.

VI

SCIENCE: GRAMMAR--LOGIC--MATHEMATICS--MEDICINE

When I speak to you of Greek Science, of course I use the word in the

old and proper sense to include all strict reasoning, especially of the

deductive kind, particularly therefore pure Mathematics, and not merely

the inferences from observation and experiment which now commonly assume

and even monopolise the title of Science. I often see in educational

programmes Science and Mathematics contrasted as distinct things, which

indeed in this case they are, only because the Science so-called is

often unworthy of the name. Sciences of observation were, I think, not

formulated by the Greeks except in the case of Medicine, in which their

results are still quoted with respect; in the case of Hydrostatics, as

Heron’s great book shows; and in the case of Natural History, in which

they made the first collection of facts that modern men of science can

use; but we have lost what they said on their artistic observations,

namely their minute observations of the anatomy of the human body,

which, as I have told you, their sculptors learned to represent with

such accuracy that no modern anatomist can find a flaw in their work.

This was done by careful external observation, for the practice of

dissecting the human body would have seemed to them impious and

horrible. But, whenever it was possible, the Greeks went back to first

principles and framed a theory from which they deduced the facts; and

this it is which has made their science so valuable. It will not be hard

to show you how in Logic--the Science of Reasoning,--in Arithmetic, and

in Geometry--the science of the laws of lines, of figures, and of solid

bodies in space--they are our teachers to the present day.

It is well to approach the subject of Logic through the avenue by which

the Greeks approached it, through the analysis of ordinary language and

as the natural expression of thinking. The early poets and great prose

writers had so far perfected the use of language that the Greeks in the

catalogue of human acquisitions came to put their speech on a very high

pedestal. Delighted with it, and despising all other tongues as

barbarous, they convinced themselves that the Greek word adequately

expressed the nature of the thing it signified, and therefore that to

understand their language properly was to understand the nature of

things. Λὁγος meant not only speech (_oratio_), but reason (_ratio_),

and so, after first seeking to obtain clear conceptions of abstract

ideas, they advanced to the structure of sentences and analysed speech

in so accurate a way that their technical terms are our technical terms

of to-day. When you talk of _infinitives_, or _genitives_, or

_participles_, you are only using words borrowed from Latin

translations, often mistranslations, of the Greek. You find these

logical studies in their beginning, but by no means in their infancy, in

the _Dialogues_ of Plato. Whole conversations are employed in trying to

fix the connotation of important moral terms, such as _holiness_, or

_valour_, or _temperance_. And we also find in some of the dialogues an

appreciation of the difficulties contained in the form of simple

propositions, the meaning of affirmation or negation, and the nature of

the deduction of one proposition from another.

But I need not detain you with particulars about these early

preparations for science, when we have before us in Aristotle various

treatises on the analysis of speech from its logical side, and the

laying down of the laws of formal thinking with such accuracy and

completeness that nothing of importance has ever been added to it. We

hear it often said that a single man apprehended and systematised these

laws. That is not true; there were plenty of tentative essays before his

time. But if there be one achievement which has made his name and fame

everlasting, it is his treatment of the theory of Reasoning.

The mediæval universities knew this well, and so do the modern

universities of Europe which are worthy of the name. I need not bear

witness to the vast importance of common Logic by telling you that in my

own youth nothing ever woke me up like having a good Logic put into my

hands at the age of fourteen. For since that time I have been often

teaching it and have watched its effects on hundreds of intelligent

youths. Among all the subjects that we teach, not for the purpose of

supplying mere facts, but for the purpose of training youth to judge

facts and co-ordinate their knowledge, I know nothing that benefits the

average student like the study of Aristotelian Logic. May I add that, so

far as I know American education, the most serious defect I have

observed in it is the small attention paid to this subject, and hence

the vast number of your men and women who are unable to distinguish a

sound from an unsound argument, still less to point out where the

fallacy lies.

There are here present, I have no doubt, a large number of people,

otherwise highly educated, who, were I to propose a stock example for

their criticism, would feel at a loss how to deal with it. Let me give

an illustration. “Every hen comes from an egg; every egg comes from a

hen; therefore every egg comes from an egg.” Is this a correct argument?

If not, where is it at fault? If you had all been trained in Whately’s

Logic, or any other Logic of the kind, as we were in our youth, such a

question would present no difficulty whatever.

But if you have failed to derive this lesson from the old Greeks, your

English ancestors were better advised. All the subtlety of the mediæval

schools, all the disputations of their universities, were based on Greek

Logic; and, if they often wasted their time on idle problems, it must

always be remembered that by this means Europe was trained to accuracy

and subtlety in argument, and hence to weigh vague and random theorising

and to make men competent critics of any new dogma. We often remark from

our side of the Atlantic how many wild theories in religion, how many

sham theories in science, blossom and flourish in this country,

inhabited though it may be by a most shrewd and intelligent population.

The simplest answer is to point to their ignorance of common Logic, and

hence their liability to be deceived by the most vulgar fallacies. It

would be easy to mention a book popular in this country, the pages of

which any logically trained people would only use to wrap sardines or to

heat a stove.

The Greeks do not parade their logic in their writings, though we know

they were fond of subtleties; there are indeed examples of it in the

_Sophist_ of Plato, where this sort of thing is ridiculed in his

travesty of two professional educators. But there are two great and

solid proofs of the power which strict Logic had upon their minds. The

first comes out in their literature. Wherever they undertake to argue an

issue, whether political, social, or religious, their reasoning is clear

and easily followed. They of course often start from traditional

beliefs, which may not now command assent, but they always reason from

these with clear and sober thinking. There was no more important cause

for the permanence of that great literature. Its sound thinking has kept

it from all extravagance and made it acceptable to educated men of all

ages and nations. The second proof is my chief subject to-day: it is the

peculiarly logical character of Greek mathematics which has made this

too the model of the scientific thinking of the world.

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