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For Antony having become possessor of it by right of the stronger； gave it
to Cleopatra； and it remained at Alexandria for seven hundred years。 But
we must not anticipate events。
Then there must be besides a Mouseion； a Temple of the Muses； with
all due appliances； in a vast building adjoining the palace itself； under the
very wing of royalty； and it must have porticos； wherein sages may
converse； lecture…rooms； where they may display themselves at their will
to their rapt scholars； each like a turkey…cock before his brood； and a large
dining…hall； where they may enjoy themselves in moderation； as befits
sages； not without puns and repartees； epigrams； anagrams； and Attic salt；
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to be fatal； alas； to poor Diodorus the dialectician。 For Stilpo； prince of
sophists； having silenced him by some quibbling puzzle of logic； Ptolemy
surnamed him Chronos the Slow。 Poor Diodorus went home； took pen
and ink； wrote a treatise on the awful nothing； and died in despair； leaving
five 〃dialectical daughters〃 behind him； to be thorns in the sides of some
five hapless men of Macedonia； as 〃emancipated women；〃 a class but too
common in the later days of Greece； as they will always be； perhaps； in
civilisations which are decaying and crumbling to pieces； leaving their
members to seek in bewilderment what they are； and what bonds connect
them with their fellow…beings。 But to return： funds shall be provided
for the Museum from the treasury； a priest of rank； appointed by royalty；
shall be curator； botanical and zoological gardens shall be attached；
collections of wonders made。 In all things the presiding genius of
Aristotle shall be worshipped； for these； like Alexander； were his pupils。
Had he not mapped out all heaven and earth； things seen and unseen； with
his entelechies； and energies； and dunameis； and put every created and
uncreated thing henceforth into its proper place； from the ascidians and
polypes of the sea to the virtues and the vicesyea； to that Great Deity and
Prime Cause （which indeed was all things）； Noesis Noeseon； 〃the Thought
of Thoughts；〃 whom he discovered by irrefragable processes of logic； and
in whom the philosophers believe privately； leaving Serapis to the women
and the sailors？ All they had to do was to follow in his steps； to take
each of them a branch； of science or literature； or as many branches as one
man conveniently can； and working them out on the approved methods；
end in a few years； as Alexander did； by weeping on the utmost shore of
creation that there are no more worlds left to conquer。
Alas！ the Muses are shy and wild； and though they will haunt； like
skylarks； on the bleakest northern moor as cheerfully as on the sunny hills
of Greece； and rise thence singing into the heaven of heavens； yet they are
hard to tempt into a gilded cage； however amusingly made and plentifully
stored with comforts。 Royal societies； associations of savants； and the
like； are good for many things； but not for the breeding of art and genius：
for they are things which cannot be bred。 Such institutions are excellent
for physical science； when； as among us now； physical science is going on
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the right method： but where； as in Alexandria； it was going on an utterly
wrong method； they stereotype the errors of the age； and invest them with
the prestige of authority； and produce mere Sorbonnes； and schools of
pedants。 To literature； too； they do some good； that is； in a literary age
an age of reflection rather than of production； of antiquarian research；
criticism； imitation； when book…making has become an easy and
respectable pursuit for the many who cannot dig； and are ashamed to beg。
And yet； by adding that same prestige of authority； not to mention of good
society and Court favour； to the popular mania for literature； they help on
the growing evil； and increase the multitude of prophets who prophesy out
of their own heart and have seen nothing。
And this was； it must be said； the outcome of all the Ptolemaean
appliances。
In Physics they did little。 In Art nothing。 In Metaphysics less than
nothing。
We will first examine； as the more pleasant spectacle of the two； that
branch of thought in which some progress was really made； and in which
the Ptolemaic schools helped forward the development of men who have
become world…famous； and will remain so； I suppose； until the end of
time。
Four names at once attract us： Euclid； Aristarchus； Eratosthenes；
Hipparchus。 Archimedes； also； should be included in the list； for he was
a pupil of the Alexandrian school； having studied （if Proclus is to be
trusted） in Egypt； under Conon the Samian； during the reigns of two
Ptolemies； Philadelphus and Euergetes。
Of Euclid； as the founder （according to Proclus） of the Alexandrian
Mathematical school； I must of course speak first。 Those who wish to
attain to a juster conception of the man and his work than they can do
from any other source； will do well to read Professor De Morgan's
admirable article on him in 〃Smith's Classical Dictionary；〃 which includes；
also； a valuable little sketch of the rise of Geometric science； from
Pythagoras and Plato； of whose school Euclid was； to the great master
himself。
I shall confine myself to one observation on Euclid's genius； and on
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the immense influence which it exerted on after generations。 It seems to
me； speaking under correction； that it exerted this； because it was so
complete a type of the general tendency of the Greek mind； deductive；
rather than inductive； of unrivalled subtlety in obtaining results from
principles； and results again from them ad infinitum： deficient in that
sturdy moral patience which is required for the examination of facts； and
which has made Britain at once a land of practical craftsmen； and of
earnest scientific discoverers。
Volatile； restless； 〃always children longing for something new；〃 as the
Egyptian priest said of them； they were too ready to believe that they had
attained laws； and then； tired with their toy； throw away those hastily
assumed laws； and wander off in search of others。 Gifted； beyond all the
sons of men； with the most exquisite perception of form； both physical and
metaphysical； they could become geometers and logicians as they became
sculptors and artists； beyond that they could hardly rise。 The were
conscious of their power to build； and it made them ashamed to dig。
Four men only among them seem； as far as I can judge； to have had a
great inductive power： Socrates and Plato in Metaphysics； Archimedes
and Hipparchus in Physics。 But these men ran so far counter to the
national genius； that their examples were not followed。 As you will hear
presently； the discoveries of Archimedes and Hipparchus were allowed to
remain where they were for centuries。 The Dialectic of Plato and
Socrates was degraded into a mere art for making anything appear
alternately true and false； and among the Megaric school； for undermining
the ground of all science； and paving the way for scepticism； by denying
the natural world to be the object of certain knowledge。 The only
element of Plato's thought to which they clung was； as we shall find from
the Neoplatonists； his physical speculations； in which； deserting his
inductive method； he has fallen below himself into the popular cacoethes；
and Pythagorean deductive dreams about the mysterious powers