No More Learning

. . . . . . . 245




{1}

CHAPTER I

THE SCHOOL OF MILETUS

_The question of Thales--Water the beginning of things--Soul in all
things--Mystery in science--Abstraction and reality--Theory of
development_


I. THALES. --For several centuries prior to the great Persian invasions
of Greece, perhaps the very greatest and wealthiest city of the Greek
world was Miletus. Situate about the centre of the Ionian coasts of
Asia Minor, with four magnificent harbours and a strongly defensible
position, it gathered to itself much of the great overland trade, which
has flowed for thousands of years eastward and westward between India
and the Mediterranean; while by its great fleets it created a new world
of its own along the Black Sea coast. Its colonies there were so
numerous that Miletus was named 'Mother of Eighty Cities. ' From Abydus
on the Bosphorus, past Sinope, and so onward to the Crimea and the Don,
and thence round to Thrace, a busy community of colonies, mining,
manufacturing, ship-building, corn-raising, owned Miletus for their
mother-city. Its {2} marts must therefore have been crowded with
merchants of every country from India to Spain, from Arabia to Russia;
the riches and the wonders of every clime must have become familiar to
its inhabitants. And fitly enough, therefore, in this city was born
the first notable Greek geographer, the first constructor of a map, the
first observer of natural and other curiosities, the first recorder of
varieties of custom among various communities, the first speculator on
the causes of strange phenomena,--Hecataeus. His work is in great part
lost, but we know a good deal about it from the frequent references to
him and it in the work of his rival and follower, Herodotus.

The city naturally held a leading place politically as well as
commercially. Empire in our sense was alien to the instincts of the
Greek race; but Miletus was for centuries recognised as the foremost
member of a great commercial and political league, the political
character of the league becoming more defined, as first the Lydian and
then the Persian monarchy became an aggressive neighbour on its borders.

[8]

It was in this active, prosperous, enterprising state, and at the
period of its highest activity, that Thales, statesman, practical
engineer, mathematician, philosopher, flourished. Without attempting
to fix his date too closely, we may take it that he was a leading man
in Miletus for the greater part of the {3} first half of the sixth
century before Christ. We hear of an eclipse predicted by him, of the
course of a river usefully changed, of shrewd and profitable handling
of the market, of wise advice in the general councils of the league.
He seems to have been at once a student of mathematics and an observer
of nature, and withal something having analogy with both, an inquirer
or speculator into the _origin_ of things. To us nowadays this
suggests a student of geology, or physiography, or some such branch of
physical science; to Thales it probably rather suggested a theoretical
inquiry into the simplest _thinkable_ aspect of things as existing.
"Under what form known to us," he would seem to have asked, "may we
assume an identity in all known things, so as best to cover or render
explicable the things as we know them? " The 'beginning' of things (for
it was thus he described this assumed identity) was not conceived by
him as something which was long ages before, and which had ceased to
be; rather it meant the reality of things now. Thales then was the
putter of a question, which had not been asked expressly before, but
which has never ceased to be asked since. He was also the formulator
of a new meaning for a word; the word 'beginning' ((Greek) _arche_) got
the meaning of 'underlying reality' and so of 'ending' as well. In
short, he so dealt with a word, on the surface of it implying {4} time,
as to eliminate the idea of time, and suggest a method of looking at
the world, more profound and far-reaching than had been before
imagined. [1]

It is interesting to find that the man who was thus the first
philosopher, the first observer who took a metaphysical, non-temporal,
analytical view of the world, and so became the predecessor of all
those votaries of 'other-world' ways of thinking,--whether as academic
idealist, or 'budge doctor of the Stoic fur,' or Christian ascetic or
what not, whose ways are such a puzzle to the 'hard-headed practical
man,'--was himself one of the shrewdest men of his day, so shrewd that
by common consent he was placed foremost in antiquity among the Seven
Sages, or seven shrewd men, whose practical wisdom became a world's
tradition, enshrined in anecdote and crystallised in proverb.

[9]

The chief record that we possess of the philosophic teaching of Thales
is contained in an interesting notice of earlier philosophies by
Aristotle, the main part of which as regards Thales runs as follows:

"The early philosophers as a rule formulated the originative principle
((Greek) _arche_) of all things under some material expression. By the
originative principle or element of things they meant that of which all
{5} existing things are composed, that which determines their coming
into being, and into which they pass on ceasing to be. Where these
philosophers differed from each other was simply in the answer which
they gave to the question what was the nature of this principle, the
differences of view among them applying both to the number, and to the
character, of the supposed element or elements.

"Thales, the pioneer of this philosophy, maintained that _Water_ was
the originative principle of all things. It was doubtless in this
sense that he said that the earth rested on water. What suggested the
conception to him may have been such facts of observation, as that all
forms of substance which promote life are moist, that heat itself seems
to be conditioned by moisture, that the life-producing seed in all
creatures is moist, and so on. "

Other characteristics of water, it is elsewhere suggested, may have
been in Thales' mind, such as its readiness to take various shapes, its
convertibility from water into vapour or ice, its ready mixture with
other substances, and so forth. What we have chiefly to note is, that
the more unscientific this theory about the universe may strike us as
being, the more completely out of accord with facts now familiar to
everybody, the more striking is it as marking a new mood of mind, in
which _unity_, though only very partially suggested or discoverable by
the senses, is {6} preferred to that infinite and indefinite _variety_
and _difference_ which the senses give us at every moment. There is
here the germ of a new aspiration, of a determination not to rest in
the merely momentary and different, but at least to try, even against
the apparent evidence of the senses, for something more permanently
intelligible. As a first suggestion of what this permanent underlying
reality may be, _Water_ might very well pass. It is probable that even
to Thales himself it was only a symbol, like the figure in a
mathematical proposition, representing by the first passable physical
phenomenon which came to hand, that ideal reality underlying all
change, which is at once the beginning, the middle, and the end of all.
That he did not mean Water, in the ordinary prosaic sense, to be
identical with this, is suggested by some [10] other sayings of his.
"Thales," says Aristotle elsewhere, "thought the whole universe was
full of gods. " "All things," he is recorded as saying, "have a _soul_
in them, in virtue of which they move other things, and are themselves
moved, even as the magnet, by virtue of its life or soul, moves the
iron. " Without pushing these fragmentary utterances too far, we may
well conclude that whether Thales spoke of the soul of the universe and
its divine indwelling powers, or gods, or of water as the origin of
things, he was only vaguely symbolising in different ways an idea as
yet formless and void, like the primeval chaos, but nevertheless, {7}
like it, containing within it a promise and a potency of greater life
hereafter.

II. ANAXIMANDER. --Our information with respect to thinkers so remote as
these men is too scanty and too fragmentary, to enable us to say in
what manner or degree they influenced each other. We cannot say for
certain that any one of them was pupil or antagonist of another. They
appear each of them, one might say for a moment only, from amidst the
darkness of antiquity; a few sayings of theirs we catch vaguely across
the void, and then they disappear. There is not, consequently, any
very distinct progression or continuity observable among them, and so
far therefore one has to confess that the title 'School of Miletus' is
a misnomer. We have already quoted the words of Aristotle in which he
classes the Ionic philosophers together, as all of them giving a
_material_ aspect of some kind to the originative principle of the
universe (see above, P. 4). But while this is a characteristic
observable in some of them, it is not so obviously discoverable in the
second of their number, Anaximander.

This philosopher is said to have been younger by [11] one generation
than Thales, but to have been intimate with him. He, like Thales, was
a native of Miletus, and while we do not hear of him as a person, like
Thales, of political eminence and activity, he was certainly the equal,
if not the superior, of Thales in {8} mathematical and scientific
ability. He is said to have either invented or at least made known to
Greece the construction of the sun-dial. He was associated with
Hecataeus in the construction of the earliest geographical charts or
maps; he devoted himself with some success to the science of astronomy.
His familiarity with the abstractions of mathematics perhaps accounts
for the more abstract form, in which he expressed his idea of the
principle of all things.

[21]

To Anaximander this principle was, as he expressed it, the _infinite_;
not water nor any other of the so-called elements, but a different
thing from any of them, something hardly namable, out of whose
formlessness the heavens and all the worlds in them came to be. And by
necessity into that same infinite or indefinite existence, out of which
they originally emerged, did every created thing return. Thus, as he
poetically expressed it, "Time brought its revenges, and for the
wrong-doing of existence all things paid the penalty of death. "

The momentary resting-place of Thales on the confines of the familiar
world of things, in his formulation of Water as the principle of
existence, is thus immediately removed. We get, as it were, to the
earliest conception of things as we find it in Genesis; before the
heavens were, or earth, or the waters under the earth, or light, or
sun, or moon, or grass, or the beast of the field, when the "earth was
without form, and void, and darkness was upon the {9} face of the
deep. " Only, be it observed, that while in the primitive Biblical idea
this formless void precedes in _time_ an ordered universe, in
Anaximander's conception this formless infinitude is always here, is in
fact the only reality which ever is here, something without beginning
or ending, underlying all, enwrapping all, governing all.

To modern criticism this may seem to be little better than verbiage,
having, perhaps, some possibilities of poetic treatment, but certainly
very unsatisfactory if regarded as science. But to this we have to
reply that one is not called upon to regard it as science. Behind
science, as much to-day when our knowledge of the details of phenomena
is so enormously increased, as in the times when science had hardly
begun, there lies a world of mystery which we cannot pierce, and yet
which we are compelled to assume. No scientific treatise can begin
without assuming Matter and Force as data, and however much we may have
learned about the relations of _forces_ and the affinities of _things_,
Matter and Force as such remain very much the same dim infinities, that
the originative 'Infinite' was to Anaximander.

It is to be noted, however, that while modern science assumes
necessarily _two_ correlative data or originative principles,--Force,
namely, as well as Matter,--Anaximander seems to have been content {10}
with the formulation of but one; and perhaps it is just here that a
kinship still remains between him and Thales and other philosophers of
the school. He, no more than they, seems to have definitely raised the
question, How are we to account for, or formulate, the principle of
_difference_ or change? What is it that causes things to come into
being out of, or recalls them back from being into, the infinite void?
It is to be confessed, however, that our accounts on this point are
somewhat conflicting. One authority actually says that he formulated
motion as eternal also. So far as he attempted to grasp the idea of
difference in relation to that of unity, he seems to have regarded the
principle of change or difference as inhering in [13] the infinite
itself. Aristotle in this connection contrasts his doctrine with that
of Anaxagoras, who formulated _two_ principles of existence--Matter and
Mind (see below, p. 54). Anaximander, he points out, found all he
wanted in the one.

As a mathematician Anaximander must have been familiar in various
aspects with the functions of the Infinite or Indefinable in the
organisation of thought. To the student of Euclid, for example, the
impossibility of adequately defining any of the fundamental elements of
the science of geometry--the point, the line, the surface--is a
familiar fact. In so far as a science of geometry is possible at all,
the exactness, which is its essential characteristic, is only {11}
attainable by starting from data which are in themselves impossible, as
of a point which has no magnitude, of a line which has no breadth, of a
surface which has no thickness. So in the science of abstract number
the fundamental assumptions, as that 1=1, _x=x_, etc. , are contradicted
by every fact of experience, for in the world as we know it, absolute
equality is simply impossible to discover; and yet these fundamental
conceptions are in their development most powerful instruments for the
extension of man's command over his own experiences. Their
completeness of abstraction from the accidents of experience, from the
differences, qualifications, variations which contribute so largely to
the personal interests of life, this it is which makes the abstract
sciences demonstrative, exact, and universally applicable. In so far,
therefore, as we are permitted to grasp the conception of a perfectly
abstract existence prior to, and underlying, and enclosing, all
separate existences, so far also do we get to a conception which is
demonstrative, exact, and universally applicable throughout the whole
world of knowable objects.

Such a conception, however, by its absolute emptiness of content, does
not afford any means in itself of progression; somehow and somewhere a
principle of movement, of development, of concrete reality, must be
found or assumed, to link this ultimate abstraction of existence to the
multifarious phenomena {12} of existence as known. And it was,
perhaps, because Anaximander failed to work out this aspect of the
question, that in the subsequent leaders of the school _movement_,
rather than mere existence, was the principle chiefly insisted upon.

Before passing, however, to these successors of Anaximander, some
opinions of his which we have not perhaps the means of satisfactorily
correlating with his general conception, but which are not without
their individual interest, may here be noted. [14] The word _husk_ or
_bark_ ((Greek) _phloios_) seems to have been a favourite one with him,
as implying and depicting a conception of interior and necessary
development in things. Thus he seems to have postulated an inherent
tendency or law in the infinite, which compelled it to develop contrary
characters, as hot and cold, dry and moist. In consequence of this
fundamental tendency an envelope of fire, he says, came into being,
encircling another envelope of air, which latter in turn enveloped the
sphere of earth, each being like the 'husk' of the other, or like the
bark which encloses the tree. This concentric system he conceives as
having in some way been parted up into various systems, represented by
the sun, the moon, the stars, and the earth. The last he figured as
hanging in space, and deriving its stability from the inherent and
perfect balance or relation of its parts.

{13}

[16]

Then, again, as to the origin of man, he seems to have in like manner
taught a theory of development from lower forms of life. In his view
the first living creatures must have come into being in moisture (thus
recalling the theory of Thales). As time went on, and these forms of
life reached their fuller possibilities, they came to be transferred to
the dry land, casting off their old nature like a husk or bark. More
particularly he insists that man must have developed out of other and
lower forms of life, because of his exceptional need, under present
conditions, of care and nursing in his earlier years. Had he come into
being at once as a human creature he could never have survived.

The analogies of these theories with modern speculations are obvious
and interesting. But without enlarging on these, one has only to say
in conclusion that, suggestive and interesting as many of these poor
fragments, these _disjecti membra poetae_, are individually, they leave
us more and more impressed with a sense of incompleteness in our
knowledge of Anaximander's theory as a whole. It may be that as a
consistent and perfected system the theory never was worked out; it may
be that it never was properly understood.



[1] By some authorities it is stated that Anaximander, the second
philosopher of this school, was the first to use the word _arche_ in
the philosophic sense. Whether this be so or not, Thales certainly had
the idea.




{14}

CHAPTER II

THE SCHOOL OF MILETUS (_concluded_)

_Air the beginning of things--All things pass--The eternal and the
temporary--The weeping philosopher_


[17]

III. ANAXIMENES. --This philosopher was also a native of Miletus, and is
said to have been a hearer or pupil of Anaximander. As we have said,
the [19] tendency of the later members of the school was towards
emphasising the _motive_ side of the supposed underlying principle of
nature, and accordingly Anaximenes chose Air as the element which best
[18] represented or symbolised that principle. Its fluidity, readiness
of movement, wide extension, and absolute neutrality of character as
regards colour, taste, smell, form, etc. , were obvious suggestions.
The breath also, whose very name to the ancients implied an identity
with the life or soul, was nothing but air; and the identification of
Air with Life supplied just that principle of productiveness and
movement, which was felt [20] to be necessary in the primal element of
being. The process of existence, then, he conceived as consisting in a
certain concentration of this diffused life-giving element into more or
less solidified forms, and the {15} ultimate separation and expansion
of these back into the formless air again. The contrary forces
previously used by Anaximander--heat and cold, drought and
moisture--are with Anaximenes also the agencies which institute these
changes.

This is pretty nearly all that we know of Anaximenes. So far as the
few known facts reveal him, we can hardly say that except as supplying
a step towards the completer development of the _motive_ [22] idea in
being, he greatly adds to the chain of progressive thought.

IV. HERACLITUS. --Although not a native of Miletus, but of Ephesus,
Heraclitus, both by his nationality as an Ionian and by his position in
the development of philosophic conceptions, falls naturally to be
classed with the philosophers of Miletus. His period may be given
approximately as from about 560 to 500 B. C. , though others place him a
generation later. Few authentic particulars have been preserved of
him. We hear of extensive travels, of his return to his native city
only to refuse a share in its activities, of his retirement to a
hermit's life. He seems to have formed a contrast to the preceding
philosophers in his greater detachment from the ordinary interests of
civic existence; and much in his teaching suggests the ascetic if not
the misanthrope. He received the nickname of 'The Obscure,' from the
studied mystery in which he was supposed to involve his {16} [23]
teaching. He wrote not for the vulgar, but for the gifted few. 'Much
learning makes not wise' was the motto of his work; the man of gift, of
insight, that man is better than ten thousand. He was savage in his
criticism of other writers, even the greatest. Homer, he said, and
Archilochus too, deserved to be hooted from the platform and thrashed.
Even the main purport of his writings was differently interpreted.
Some named his work 'The Muses,' as though it were chiefly a poetic
vision; others named it 'The sure Steersman to the Goal of Life';
others, more prosaically, 'A Treatise of Nature. '

[26]

The fundamental principle or fact of being Heraclitus formulated in the
famous dictum, 'All things pass. ' In the eternal flux or flow of being
consisted its reality; even as in a river the water is ever changing,
and the river exists as a river only in virtue of this continual
change; or as in a living body, wherein while there is life there is no
stability or fixedness; stability and fixedness are the attributes of
the unreal image of life, not of life itself. Thus, as will be
observed, from the _material_ basis of being as conceived by Thales,
with only a very vague conception of the counter-principle of movement,
philosophy has wheeled round in Heraclitus to the other extreme; he
finds his permanent element in the negation of permanence; being or
reality consists in never 'being' but always 'becoming,' not in
stability but in change.

{17}

[27]

This eternal movement he pictures elsewhere as an eternal strife of
opposites, whose differences nevertheless consummate themselves in
finest harmony. Thus oneness emerges out of multiplicity, multiplicity
out of oneness; and the harmony of the universe is of contraries, as of
the lyre and the bow. _War_ is the father and king and lord of all
things. Neither god nor man presided at the creation of anything that
is; that which was, is that which is, and that which ever shall be;
even an ever-living Fire, ever kindling and ever being extinguished.

[28]

Thus in _Fire_, as an image or symbol of the underlying reality of
existence, Heraclitus advanced to the furthest limit attainable on
physical lines, for the expression of its essentially _motive_
character. That this Fire was no more than a symbol, suggested by the
special characteristics of fire in nature,--its subtlety, its mobility,
its power of penetrating all things and devouring all things, its
powers for beneficence in the warmth of living bodies and the
life-giving power of the sun,--is seen in the fact that he readily
varies his expression for this principle, calling it at times the
Thunderbolt, at others the eternal Reason, [29] or Law, or Fate. To
his mental view creation was a process eternally in action, the fiery
element descending by the law of its being into the cruder [30] forms
of water and earth, only to be resolved again by upward process into
fire; even as one sees the {18} vapour from the sea ascending and
melting into the [32] aether. As a kindred vapour or exhalation he
recognised the Soul or Breath for a manifestation of the essential
element. It is formless, ever changing with every breath we take, yet
it is the constructive and unifying force which keeps the body
together, and conditions its life and growth. At this point [33]
Heraclitus comes into touch with Anaximenes. In the act of breathing
we draw into our own being a portion of the all-pervading vital element
of all being; in this universal being we thereby live and move and have
our consciousness; the eternal and omnipresent wisdom becomes, through
the channels of our senses, and especially through the eyes, in
fragments at least our wisdom. In sleep we are not indeed cut off
wholly from this wisdom; through our breathing we hold as it were to
its root; but of its flower we are then deprived. On awaking again we
begin once more to partake according to our full measure of the living
thought; even as coals when brought near the fire are themselves made
partakers of it, but when taken away again become quenched.

[34]

Hence, in so far as man is wise, it is because his spirit is kindled by
union with the universal spirit; but there is a baser, or, as
Heraclitus termed it, a moister element also in him, which is the
element of unreason, as in a drunken man. And thus the trustworthiness
or otherwise of the senses, as the {19} channels of communication with
the divine, depends on the _dryness_ or _moistness_,--or, as we should
express it, using, after all, only another metaphor,--on the
_elevation_ or _baseness_ of the spirit that is within. To those whose
souls are base and barbarous, the eternal movement, the living fire, is
invisible; and thus what they do see is nothing but death. Immersed in
the mere appearances of things and their supposed stability, they,
whether sleeping or waking, behold only dead forms; their spirits are
dead.

[35]

For the guidance of life there is no law but the common sense, which is
the union of those fragmentary perceptions of eternal law, which
individual men [37] attain, in so far as their spirits are dry and
pure. Of absolute knowledge human nature is not capable, but only the
Divine. To the Eternal, therefore, alone all things are good and
beautiful and just, because to Him alone do things appear in their
totality. To the human partial reason some things are unjust and
others just. Hence life, by reason of the limitations [38] involved in
it, he sometimes spoke of as the death of the soul, and death as the
renewal of its life. And so, [39] in the great events of man's life
and in the small, as in the mighty circle of the heavens, good and
evil, life and death, growth and decay, are but the systole and
diastole, the outward and inward pulsation, of an eternal good, an
eternal harmony. Day and {20} night, winter and summer, war and peace,
satiety and hunger--each conditions the other, all are part of God. It
is sickness that makes health good and sweet, hunger that gives its
pleasure to feeding, weariness that makes sleep a good.

[39]

This vision of existence in its eternal flux and interchange, seems to
have inspired Heraclitus with a contemplative melancholy. In the
traditions of later times he was known as the _weeping_ philosopher.
Lucian represents him as saying, "To me it is a sorrow that there is
nothing fixed or secure, and that all things are thrown confusedly
together, so that pleasure and pain, knowledge and ignorance, the great
and the small, are the same, ever circling round and passing one into
the other in the sport of time. " "Time," he says elsewhere, "is like a
child that plays with the dice. " The highest good, therefore, for
mortals is that clarity of perception in respect of oneself and all
that is, whereby we shall learn to apprehend somewhat of the eternal
unity and harmony, that underlies the good and evil of time, the shock
and stress of circumstance and place. The highest virtue for man is a
placid and a quiet constancy, whatever the changes and chances of life
may bring. It is the pantheistic apathy.

The sadder note of humanity, the note of Euripides and at times of
Sophocles, the note of Dante and of the _Tempest_ of Shakespeare, of
Shelley and Arnold {21} and Carlyle,--this note we hear thus early and
thus clear, in the dim and distant utterances of Heraclitus. The
mystery of existence, the unreality of what seems most real, the
intangibility and evanescence of all things earthly,--these thoughts
obscurely echoing to us across the ages from Heraclitus, have remained,
and always will remain, among the deepest and most insistent of the
world's thoughts, in its sincerest moments and in its greatest thinkers.




{22}

CHAPTER III

PYTHAGORAS AND THE PYTHAGOREANS

_The Pythagorean Brotherhood--Number the master--God the soul of the
world--Music and morals_


[41]

The birthplace of Pythagoras is uncertain. He is generally called the
Samian, and we know, at all events, that he lived for some time in that
island, during or immediately before the famous tyranny [43] of
Polycrates. All manner of legends are told of the travels of
Pythagoras to Egypt, Chaldaea, Phoenicia, and even to India. Others
tell of a mysterious initiation at the sacred cave of Jupiter in Crete,
and of a similar ceremony at the Delphic oracle. What is certain is
that at some date towards the end of the sixth century B. C. he removed
to Southern Italy, which was then extensively colonised by Greeks, and
that there he became a great philosophic teacher, and ultimately even a
predominating political influence.

[46]

He instituted a school in the strictest sense, with its various grades
of learners, subject for years to a vow of silence, holding all things
in common, and admitted, according to their approved fitness, to {23}
[47] successive revelations of the true doctrine of the Master. Those
in the lower grades were called Listeners; those in the higher,
Mathematicians or Students; those in the most advanced stage,
Physicists or Philosophers. With the political relations of the school
we need not here concern ourselves. In Crotona and many other Greek
cities in Italy Pythagoreans became a predominant aristocracy, who,
having learned obedience under their master, applied what they had
learned in an anti-democratic policy of government. This lasted for
some thirty years, but ultimately democracy gained the day, and
Pythagoreanism as a political power was violently rooted out.

Returning to the philosophy of Pythagoras, in its relation to the
general development of Greek theory, we may note, to begin with, that
it is not necessary, or perhaps possible, to disentangle the theory of
Pythagoras himself from that of his followers, Philolaus and others.
The teaching was largely oral, and was developed by successive leaders
of the school. The doctrine, therefore, is generally spoken of as
that, not of Pythagoras, but of the Pythagoreans. Nor can we fix for
certain on one fundamental conception, upon which the whole structure
of their doctrine was built.

[52]

One dictum we may start with because of its analogies with what has
been said of the earlier {24} philosophies. The universe, said the
Pythagoreans, was constituted of _indefinites_ and _definers_, _i. e. _
of that which has no character, but has infinite capacities of taking a
character; and secondly, of things or forces which impose a character
upon this. Out of the combination of these two elements or principles
all knowable [53] existences come into being. "All things," they said,
"as known have _Number_; and this number has two natures, the Odd and
the Even; the known thing is the Odd-Even or union of the two. "

[66]

By a curious and somewhat fanciful development of this conception the
Pythagoreans drew up two parallel columns of antithetical principles in
nature, ten in each, thus:--

Definite Indefinite
Odd Even
One Many
Right Left
Male Female
Steadfast Moving
Straight Bent
Light Dark
Good Evil
Four Square Irregular

Looking down these two lists we shall see that the first covers various
aspects of what is conceived as the ordering, defining, formative
principle in nature; and that the second in like manner comprises
various {25} aspects of the unordered, neutral, passive, or
disorganised element or principle; the first, to adopt a later method
of expression, is _Form_, the second _Matter_. How this antithesis was
worked out by Plato and Aristotle we shall see later on.

[54]

While, in a sense, then, even the indefinite has number, inasmuch as it
is capable of having number or order imposed upon it (and only in so
far as it has this imposed upon it, does it become knowable or
intelligible), yet, as a positive factor, Number belongs only to the
first class; as such it is the source of all knowledge and of all good.
In reality the Pythagoreans had not got any further by this
representation of nature than was reached, for example, by Anaximander,
and still more definitely by Heraclitus, when they posited an
Indefinite or Infinite principle in nature which by the clash of innate
antagonisms developed into a knowable universe (see above, pp. 12, 16).
But one can easily imagine that once the idea of Number became
associated with that of the knowable in things, a wide field of
detailed development and experiment, so to speak, in the arcana of
nature, seemed to be opened. Every arithmetical or geometrical theorem
became in this view another window giving light into the secret heart
of things. Number became a kind of god, a revealer; and the philosophy
of number a kind of religion or mystery. And this is why the {26}
second grade of disciples were called Mathematicians; mathematics was
the essential preparation for and initiation into philosophy.

Whether that which truly exists was actually identical with Number or
Numbers, or whether it was something different from Number, but had a
certain relation to Number; whether if there were such a relation, this
was merely a relation of analogy or of conformability, or whether
Number were something actually embodied in that which truly
exists--these were speculative questions which were variously answered
by various teachers, and which probably interested the later more than
the earlier leaders of the school.

[56]

A further question arose: Assuming that ultimately the elements of
knowable existence are but two, the One or Definite, and the Manifold
or Indefinite, it was argued by some that there must be some third or
higher principle governing the relations of these; there must be some
law or harmony which shall render their intelligible union [57]
possible. This principle of union was God, ever-living, ever One,
eternal, immovable, self-identical.
[58] This was the supreme reality,
the Odd-Even or Many in One, One in Many, in whom was gathered up, as
in an eternal harmony, all the contrarieties of lower [61] existence.
Through the interchange and intergrowth of these contrarieties God
realises Himself; the {27} universe in its evolution is the
self-picturing of God. [62] God is diffused as the seminal principle
throughout [68] the universe; He is the Soul of the world, and the
world itself is God in process. The world, therefore, is in a sense a
living creature. At its heart and circumference are purest fire;
between these circle the sun, the moon, and the five planets, whose
ordered movements, as of seven chords, produce an eternal music, the
'Music of the Spheres. ' Earth, too, like the planets, is a celestial
body, moving like them around the central fire.

[71]

By analogy with this conception of the universe as the realisation of
God, so also the body, whether [72] of man or of any creature, is the
realisation for the time being of a soul. Without the body and the
life of the body, that soul were a blind and fleeting ghost. Of such
unrealised souls there are many in various degrees and states; the
whole air indeed is full of spirits, who are the causes of dreams and
omens.

[73]

Thus the change and flux that are visible in all else are visible also
in the relations of soul and body. Multitudes of fleeting ghosts or
spirits are continually seeking realisation through union with bodies,
passing at birth into this one and that, and at death issuing forth
again into the void. Like wax which takes now one impression now
another, yet remains in itself ever the same, so souls vary in the
outward {28} [74] form that envelops and realises them. In this bodily
life, the Pythagoreans are elsewhere described as saying, we are as it
were in bonds or in a prison, whence we may not justly go forth till
the Lord calls us. This idea Cicero mistranslated with a truly Roman
fitness: according to him they taught that in this life we are as
sentinels at our post, who may not quit it till our Commander orders.

On the one hand, therefore, the union of soul with body was necessary
for the realisation of the former ((Greek) _soma, body_, being as it
were (Greek) _sema, expression_), even as the reality of God was not in
the Odd or Eternal Unity, but in the Odd-Even, the Unity in
Multiplicity. On the other hand this union implied a certain loss or
degradation. In other words, in so far as the soul became realised it
also became corporealised, subject to the influence of passion and [75]
change. In a sense therefore the soul as realised was double; in
itself it partook of the eternal reason, as associated with body it
belonged to the realm of unreason.

This disruption of the soul into two the Pythagoreans naturally
developed in time into a threefold division, _pure thought_,
_perception_, and _desire_; or even more nearly approaching the
Platonic division (see below, p. 169), they divided it into _reason_,
_passion_, and _desire_. But the later developments were largely
influenced by Platonic and other doctrines, and need not be further
followed here.

{29} [78] Music had great attractions for Pythagoras, not only for its
soothing and refining effects, but for the intellectual interest of its
numerical relations. Reference has already been made (see above, p.
27) to their quaint doctrine of the music of the spheres; and the same
idea of rhythmic harmony pervaded the whole system. The life of the
soul was a harmony; the virtues were perfect numbers; and the influence
of music on the soul was only one instance among many of the harmonious
relations of things throughout the universe. Thus we have Pythagoras
described as soothing mental afflictions, and bodily ones also, by
rhythmic measure and by song. With the morning's dawn he would be
astir, harmonising his own spirit to his lyre, and chanting ancient
hymns of the Cretan Thales, of Homer, and of Hesiod, till all the
tremors of his soul were calmed and still.

Night and morning also he prescribed for himself and his followers an
examination, as it were a _tuning_ and testing of oneself. At these
times especially was it meet for us to take account of our soul and its
doings; in the evening to ask, "Wherein have I transgressed? What
done? What failed to do? " In the morning, "What must I do? Wherein
repair past days' forgetfulness? "

But the first duty of all was truth,--truth to one's own highest, truth
to the highest beyond us. Through truth alone could the soul approach
the divine. {30} Falsehood was of the earth; the real life of the soul
must be in harmony with the heavenly and eternal verities.

Pythagoreanism remained a power for centuries throughout the Greek
world and beyond. All subsequent philosophies borrowed from it, as it
in its later developments borrowed from them; and thus along with them
it formed the mind of the world, for further apprehensions, and yet
more authentic revelations, of divine order and moral excellence.




{31}

CHAPTER IV

THE ELEATICS

_God and nature--Knowledge and opinion--Being and evolution--Love the
creator--The modern egotism_


[79]

I. XENOPHANES. --Xenophanes was a native of Colophon, one of the Ionian
cities of Asia Minor, but having been forced at the age of twenty-five
to leave his native city owing to some political revolution, he
wandered to various cities of Greece, and ultimately to Zancle and
Catana, Ionian colonies in Sicily, and thence to Elea or Velia, a Greek
city on the coast of Italy. This city had, like Miletus, reached a
high pitch of commercial prosperity, and like it also became a centre
of philosophic teaching. For there Xenophanes remained and founded a
school, so that he and his successors received the name of Eleatics.
His date is uncertain; but he seems to have been contemporary with
Anaximander [80] and Pythagoras, and to have had some knowledge of the
doctrine of both. He wrote in various poetic measures, using against
the poets, and especially against Homer and Hesiod, their own weapons,
to [83] denounce their anthropomorphic theology. If oxen {32} or lions
had hands, he said, they would have fashioned gods after their likeness
which would have been as [85] authentic as Homer's. As against these
poets, and the popular mythology, he insisted that God must be one,
eternal, incorporeal, without beginning or ending. [87] As Aristotle
strikingly expresses it, "He looked forth over the whole heavens and
said that God is one, [88] that that which is one is God. " The
favourite antitheses of his time, the definite and the indefinite,
movable and immovable, change-producing and by change produced--these
and such as these, he maintained, were inapplicable to the eternally
and [86] essentially existent. In this there was no partition of
organs or faculties, no variation or shadow of turning; the Eternal
Being was like a sphere, everywhere equal; everywhere self-identical.

[84]

His proof of this was a logical one; the absolutely self-existent could
not be thought in conjunction with attributes which either admitted any
external influencing Him, or any external influenced by Him. The
prevailing dualism he considered to be, as an ultimate theory of the
universe, unthinkable and therefore false. Outside the Self-existent
there could be no second self-existent, otherwise each would be
conditioned by the existence of the other, and the Self-existent would
be gone. Anything different from the Self-existent must be of the
non-existent, _i. e. _ must be nothing.

{33}

One can easily see in these discussions some adumbration of many
theological or metaphysical difficulties of later times, as of the
origin of evil, of freewill in man, of the relation of the created
world to its Creator. If these problems cannot be said to be solved
yet, we need not be surprised that Xenophanes did not solve them. He
was content to emphasise that which seemed to him to be necessary and
true, that God was God, and not either a partner with, or a function
of, matter.

[89]

At the same time he recognised a world of phenomena, or, as he
expressed it, a world of guesswork or opinion ((Greek) _doxa_). As to
the origin of things within this sphere he was ready enough to borrow
[90] from the speculations of his predecessors. Earth and water are
the sources from which we spring; and he imagined a time when there was
neither sea nor land, but an all-pervading slough and slime; nay, many
such periods of inundation and emergence had been, hence the sea-shells
on the tops of mountains and the fossils in the rocks. Air and fire
also as agencies of change are sometimes referred to by him;
anticipations in fact are visible of the fourfold classification of the
elements which was formally made by some of his successors.

[91]

II. PARMENIDES. --The pupil and successor of Xenophanes was PARMENIDES,
a native of Elea. In a celebrated dialogue of Plato bearing the name
of {34} this philosopher he is described as visiting Socrates when the
latter was very young. "He was then already advanced in years, very
hoary, yet noble to look upon, in years some sixty and five. " Socrates
was born about 479 B. C. The birth of Parmenides might therefore, if
this indication be authentic, be about 520. He was of a wealthy and
noble family, and able therefore to devote himself to a learned
leisure. Like his master he expounded his views in verse, and
fragments of his poem of considerable length and importance have been
preserved. The title of the work was _Peri Phueos_--_Of Nature_.

[93]

The exordium of the poem is one of some grandeur. The poet describes
himself as soaring aloft to the sanctuary of wisdom where it is set in
highest aether, the daughters of the Sun being his guides; under whose
leading having traversed the path of perpetual day and at length
attained the temple of the goddess, he from her lips received
instruction in the eternal verities, and had shown to him the deceptive
guesses of mortals. "'Tis for thee," she says, "to hear of both,--to
have disclosed to thee on the one hand the sure heart of convincing
verity, on the other hand the guesses of mortals wherein is no
ascertainment. Nevertheless thou shalt learn of these also, that
having gone through them all thou may'st see by what unsureness of path
must he go who goeth the way of opinion. From such a way of searching
{35} restrain thou thy thought, and let not the much-experimenting
habit force thee along the path wherein thou must use thine eye, yet
being sightless, and the ear with its clamorous buzzings, and the
chattering tongue. 'Tis by Reason that thou must in lengthened trial
judge what I shall say to thee. "

[94]

Thus, like Xenophanes, Parmenides draws a deep division between the
world of reason and the world of sensation, between probative argument
and the guess-work of sense-impressions. The former is the world of
Being, the world of that which truly is, self-existent, uncreated,
unending, unmoved, unchanging, ever self-poised and self-sufficient,
like a sphere. [98] Knowledge is of this, and of this only, and as
such, knowledge is identical with its object; for outside this known
reality there is nothing. In other words, Knowledge can only be of
that which is, and that which is alone can know. All things which
mortals have imagined to be realities are but words; as of the birth
and death of things, of things which were and have ceased to be, of
here and there, of now and then.

It is obvious enough that in all this, and in much more to the same
effect reiterated throughout the poem, we have no more than a
statement, in various forms of negation, of the inconceivability by
human reason of that passage from _being_ as such, to that world of
phenomena which is now, but was not before, {36} and will cease to
be,--from _being_ to _becoming_, from eternity to time, from the
infinite to the finite (or, as Parmenides preferred to call it, from
the perfect to the imperfect, the definite to the indefinite). In all
this Parmenides was not contradicting such observed facts as
generation, or motion, or life, or death; he was talking of a world
which has nothing to do with observation; he was endeavouring to grasp
what was assumed or necessarily implied as a prior condition of
observation, or of a world to observe.

What he and his school seem to have felt was that there was a danger in
all this talk of water or air or other material symbol, or even of the
_indefinite_ or _characterless_ as the original of all,--the danger,
namely, that one should lose sight of the idea of law, of rationality,
of eternal self-centred force, and so be carried away by some vision of
a gradual process of evolution from mere emptiness to fulness of being.
Such a position would be not dissimilar to that of many would-be
metaphysicians among evolutionists, who, not content with the doctrine
of evolution as a theory in science, an ordered and organising view of
observed facts, will try to elevate it into a vision of what is, and
alone is, behind the observed facts. They fail to see that the more
blind, the more accidental, so to speak, the process of differentiation
may be; the more it is shown that the struggle for existence drives the
wheels of progress along the {37} lines of least resistance by the most
commonplace of mechanical necessities, in the same proportion must a
law be posited behind all this process, a reason in nature which
gathers up the beginning and the ending. The protoplasmic cell which
the imagination of evolutionists places at the beginning of time as the
starting-point of this mighty process is not merely this or that, has
not merely this or that quality or possibility, it _is_; and in the
power of that little word is enclosed a whole world of thought, which
is there at the first, remains there all through the evolutions of the
protoplasm, will be there when these are done, is in fact independent
of time and space, has nothing to do with such distinctions, expresses
rather their ultimate unreality. So far then as Parmenides and his
school kept a firm grip on this other-world aspect of nature as implied
even in the simple word _is_, or _be_, so far they did good service in
the process of the world's thought. On the other hand, he and they
were naturally enough disinclined, as we all are disinclined, to remain
in the merely or mainly negative or defensive. He would not lose his
grip of heaven and eternity, but he would fain know the secrets of
earth and time as well. And hence was fashioned the second part of his
poem, in which he expounds his theory of the world of opinion, or
guess-work, or observation.

[99]

In this world he found two originative principles {38} at work, one
pertaining to light and heat, the other to darkness and cold. From the
union of these two principles all observable things in creation come,
and over this union a God-given power presides, whose name is Love. Of
these two principles, the bright one being analogous to _Fire_, the
dark one to _Earth_, he considered the former to be the male or
formative element, the latter the female or passive element; the former
therefore had analogies to Being as such, the latter to Non-being. The
heavenly existences, the sun, the moon, the stars, are of pure Fire,
have therefore an eternal and unchangeable being; they are on the
extremest verge of the universe, and corresponding to them at the
centre is another fiery sphere, which, itself unmoved, is the cause of
all motion and generation in the mixed region between. The motive and
procreative power, sometimes called Love, is at other times called by
Parmenides Necessity, Bearer of the Keys, Justice, Ruler, etc.

But while in so far as there was union in the production of man or any
other creature, the [102] presiding genius might be symbolised as
_Love_; on the other hand, since this union was a union of opposites
(Light and Dark), _Discord_ or _Strife_ also had her say in the union.
Thus the nature and character in every creature was the resultant of
two antagonistic forces, and depended for its particular excellence or
defect on the proportions in which these two elements--the {39} light
and the dark, the fiery and the earthy--had been commingled.

No character in Greek antiquity, at least in the succession of
philosophic teachers, held a more honoured position than Parmenides.
He was looked on with almost superstitious reverence by his
fellow-countrymen. Plato speaks of him as his "Father Parmenides,"
whom he "revered and honoured more than all the other philosophers
together. " To quote Professor Jowett in his introduction to Plato's
dialogue _Parmenides_, he was "the founder of idealism and also of
dialectic, or in modern phraseology, of metaphysics and of logic. " Of
the logical aspect of his teaching we shall see a fuller
exemplification in his pupil and successor Zeno; of his metaphysics, by
way of summing up what has been already said, it may be remarked that
its substantial excellence consists in the perfect clearness and
precision with which Parmenides enunciated as fundamental in any theory
of the knowable universe the priority of Existence itself, not in time
merely or chiefly, but as a condition of having any problem to inquire
into. He practically admits that he does not see how to bridge over
the partition between Existence in itself and the changeful, temporary,
existing things which the senses give us notions of. But whatever the
connection may be, if there is a connection, he is convinced that
nothing would be more absurd than {40} to make the data of sense in any
way or degree the measure of the reality of existence, or the source
from which existence itself comes into being.

On this serenely impersonal position he took his stand; we find little
or nothing of the querulous personal note so characteristic of much
modern philosophy. We never find him asking, "What is to become of
_me_ in all this? " "What is _my_ position with regard to this
eternally-existing reality? "

Of course this is not exclusively a characteristic of Parmenides, but
of the time. The idea of personal relation to an eternal Rewarder was
only vaguely held in historical times in Greece. The conception of
personal immortality was a mere pious opinion, a doctrine whispered
here and there in secret mystery; it was not an influential force on
men's motives or actions. Thought was still occupied with the wider
universe, the heavens and their starry wonders, and the strange
phenomena of law in nature. In the succession of the seasons, the
rising and setting, the fixities and aberrations, of the heavenly
bodies, in the mysteries of coming into being and passing out of it, in
these and other similar marvels, and in the thoughts which they evoked,
a whole and ample world seemed open for inquiry. Men and their fate
were interesting enough to men, but as yet the egotism of man had not
attempted to isolate his destiny from the general problem of nature.
{41} To the _crux_ of philosophy as it appeared to Parmenides in the
relation of being as such to things which seem to be, modernism has
appended a sort of corollary, in the relation of being as such to _my_
being. Till the second question was raised its answer, of course,
could not be attempted. But all those who in modern times have said
with Tennyson--

Thou wilt not leave us in the dust:
Thou madest man, he knows not why;
He thinks he was not made to die;
And Thou hast made him: Thou art just,

may recognise in Parmenides a pioneer for them. Without knowing it, he
was fighting the battle of personality in man, as well as that of
reality in nature.




{42}

CHAPTER V

THE ELEATICS (_concluded_)

_Zeno's dialectic--Achilles and the tortoise--The dilemma of being--The
all a sphere--The dilemmas of experience_


[106]

III. ZENO. --The third head of the Eleatic school was ZENO. He is
described by Plato in the _Parmenides_ as accompanying his master to
Athens on the visit already referred to (see above, p. 34), and as
being then "nearly forty years of age, of a noble figure and fair
aspect. " In personal character he was a worthy pupil of his master,
being, like him, a devoted patriot. He is even said to have fallen a
victim to his patriotism, and to have suffered bravely the extremest
tortures at the hands of a tyrant Nearchus rather than betray his
country.

His philosophic position was a very simple one. He had nothing to add
to or to vary in the doctrine of Parmenides. His function was
primarily that of an expositor and defender of that doctrine, and his
particular pre-eminence consists in the ingenuity of his dialectic
resources of defence. He is in fact pronounced by Aristotle to have
been the inventor of dialectic or systematic logic. The relation of
{43} the two is humorously expressed thus by Plato (Jowett, _Plato_,
vol. iv. p. 128); "I see, Parmenides, said Socrates, that Zeno is your
second self in his writings too; he puts what you say in another way,
and would fain deceive us into believing that he is telling us what is
new. For you, in your poems, say, All is one, and of this you adduce
excellent proofs; and he, on the other hand, says, There is no many;
and on behalf of this he offers overwhelming evidence. " To this Zeno
replies, admitting the fact, and adds: "These writings of mine were
meant to protect the arguments of Parmenides against those who scoff at
him, and show the many ridiculous and contradictory results which they
suppose to follow from the affirmation of the One. My answer is an
address to the partisans of the many, whose attack I return with
interest by retorting upon them that their hypothesis of the being of
many if carried out appears in a still more ridiculous light than the
hypothesis of the being of one. "

The arguments of Zeno may therefore be regarded as strictly arguments
_in kind_; quibbles if you please, but in answer to quibbles. The
secret of his method was what Aristotle calls Dichotomy--that is, he
put side by side two contradictory propositions with respect to any
particular supposed real thing in experience, and then proceeded to
show that both these contradictories alike imply what is {44} [105]
inconceivable. Thus "a thing must consist either of a finite number of
parts or an infinite number. " Assume the number of parts to be finite.
Between them there must either be something or nothing. If there is
something between them, then the whole consists of more parts than it
consists of. If there is nothing between them, then they are not
separated, therefore they are not parts; therefore the whole has no
parts at all; therefore it is nothing. If, on the other hand, the
number of parts is infinite, then, the same kind of argument being
applied, the magnitude of the whole is by infinite successive positing
of intervening parts shown to be infinite; therefore this one thing,
being infinitely large, is everything.

[107]

Take, again, any supposed fact, as that an arrow moves. An arrow
cannot move except in space. It cannot move in space without being in
space. At any moment of its supposed motion it must be in a particular
space. Being in that space, it must at the time during which it is in
it be at rest. But the total time of its supposed motion is made up of
the moments composing that time, and to each of these moments the same
argument applies; therefore either the arrow never was anywhere, or it
always was at rest.

Or, again, take objects moving at unequal rates, as Achilles and a
tortoise. Let the tortoise have a start of any given length, then
Achilles, however {45} much he excel in speed, will never overtake the
tortoise. For, while Achilles has passed over the originally
intervening space, the tortoise will have passed over a certain space,
and when Achilles has passed over this second space the tortoise will
have again passed over some space, and so on _ad infinitum_; therefore
in an infinite time there must always be a space, though infinitely
diminishing, between the tortoise and Achilles, _i. e. _ the tortoise
must always be at least a little in front.

These will be sufficient to show the kind of arguments employed by
Zeno. In themselves they are of no utility, and Zeno never pretended
that they had any. But as against those who denied that existence as
such was a datum independent of experience, something different from a
mere sum of isolated things, his arguments were not only effective, but
substantial. The whole modern sensational or experiential school, who
derive our 'abstract ideas,' as they are called, from 'phenomena' or
'sensation,' manifest the same impatience of any analysis of what they
mean by phenomena or sensation, as no doubt Zeno's opponents manifested
of his analyses. As in criticising the one, modern critics are ready
with their answer that Zeno's quibbles are simply "a play of words on
the well-known properties of infinities," so they are quick to tell us
that sensation is an "affection of the sentient organism"; ignoring in
{46} the first case the prior question where the idea of infinity came
from, and in the second, where the idea of a sentient organism came
from.

Indirectly, as we shall see, Zeno had a great effect on subsequent
philosophies by the development of a process of ingenious verbal
distinction, which in the hands of so-called sophists and others became
a weapon of considerable, if temporary, power.

[109]

IV. MELISSUS. --The fourth and last of the Eleatic philosophers was
Melissus, a native of Samos. His date may be fixed as about 440 B. C.
He took an active part in the politics of his native country, and on
one occasion was commander of the Samian fleet in a victorious
engagement with the Athenians, when Samos was being besieged by
Pericles. He belongs to the Eleatic school in respect of doctrine and
method, but we have no evidence of his ever having resided at Elea, nor
any reference to his connection with the philosophers there, except the
statement that he was a pupil of Parmenides. He developed very fully
what is technically called in the science of Logic [110] the _Dilemma_.
Thus, for example, he begins his treatise _On Existence_ or _On Nature_
thus: "If nothing exists, then there is nothing for us to talk about.
But if there is such a thing as existence it must either come into
being or be ever-existing. If it come into being, it must come from
the existing or the non-existing. Now that anything which exists, {47}
above all, that which is absolutely existent, should come from what is
not, is impossible. Nor can it come from that which is. For then it
would be already, and would not come into being. That which exists,
therefore, comes not into being; it must therefore be ever-existing. "

[111]

By similar treatment of other conceivable alternatives he proceeds to
show that as the existent had no beginning so it can have no ending in
time. From this, by a curious transition which Aristotle quotes as an
example of loose reasoning, he concludes that the existent can have no
limit in space [112] either. As being thus unlimited it must be one,
therefore immovable (there being nothing else into which it can move or
change), and therefore always self-identical in extent and character.
It cannot, therefore, have any body, for body has parts and is not
therefore one.

[113]

Being incapable of change one might perhaps conclude that the
absolutely existing being is incapable of any mental activity or
consciousness. We have no authority for assuming that Melissus came to
this conclusion; but there is a curious remark of Aristotle's
respecting this and previous philosophers of the school which certain
critics have [114] made to bear some such interpretation. He says:
"Parmenides seems to hold by a Unity in thought, Melissus by a Material
unity. Hence the first {48} defined the One as limited, the second
declared it to be unlimited. Xenophanes made no clear statement on
this question; he simply, gazing up to the arch of heaven, declared,
The One is God. "

But the difference between Melissus and his master can hardly be said
to be a difference of doctrine; point for point, they are identical.
The difference is a difference of vision or mental picture as to this
mighty All which is One. Melissus, so to speak, places himself at the
centre of this Universal being, and sees it stretching out infinitely,
unendingly, in space and in time. Its oneness comes to him as the
_sum_ of these infinities. Parmenides, on the other hand, sees all
these endless immensities as related to a centre; he, so to speak,
enfolds them all in the grasp of his unifying thought, and as thus
equally and necessarily related to a central unity he pronounces the
All a sphere, and therefore limited. The two doctrines, antithetical
in terms, are identical in fact. The absolutely unlimited and the
absolutely self-limited are only two ways of saying the same thing.

This difference of view or vision Aristotle in the passage quoted
expresses as a difference between _thought_ ((Greek) _logos_) and
_matter_ ((Greek) _hule_). This is just a form of his own radical
distinction between Essence and Difference, Form and Matter, of which
much will be said later on. It is like the difference {49} between
Deduction and Induction; in the first you start from the universal and
see within it the particulars; in the second you start from the
particulars and gather them into completeness and reality in a
universal. The substance remains the same, only the point of view is
different. To put the matter in modern mathematical form, one might
say, The universe is to be conceived as a _sphere_ (Parmenides) of
_infinite radius_ (Melissus).