The astronomy of Plato is based on
the two principles of the same and the other, which
God combined in the creation of the world. The
soul, which is compounded of the same, the other,
and the essence, is diffused from the centre to the
circumference of the heavens. We speak of a soul
of the universe; but more truly regarded, the universe
of the Timaeus is a soul, governed by mind, and holding
in solution a residuum of matter or evil, which the
author of the world is unable to expel, and of which
Plato cannot tell us the origin. The creation,
in Plato’s sense, is really the creation of
order; and the first step in giving order is the division
of the heavens into an inner and outer circle of the
other and the same, of the divisible and the indivisible,
answering to the two spheres, of the planets and of
the world beyond them, all together moving around
the earth, which is their centre. To us there
is a difficulty in apprehending how that which is
at rest can also be in motion, or that which is indivisible
exist in space. But the whole description is
so ideal and imaginative, that we can hardly venture
to attribute to many of Plato’s words in the
Timaeus any more meaning than to his mythical account
of the heavens in the Republic and in the Phaedrus.
(Compare his denial of the ‘blasphemous opinion’
that there are planets or wandering stars; all alike
move in circles Laws.) The stars are the
habitations of the souls of men, from which they come
and to which they return. In attributing to the
fixed stars only the most perfect motion that
which is on the same spot or circulating around the
same he might perhaps have said that to
’the spectator of all time and all existence,’
to borrow once more his own grand expression, or viewed,
in the language of Spinoza, ‘sub specie
aeternitatis,’ they were still at rest,
but appeared to move in order to teach men the periods
of time. Although absolutely in motion, they
are relatively at rest; or we may conceive of them
as resting, while the space in which they are contained,
or the whole anima mundi, revolves.
The universe revolves around a centre
once in twenty-four hours, but the orbits of the fixed
stars take a different direction from those of the
planets. The outer and the inner sphere cross
one another and meet again at a point opposite to
that of their first contact; the first moving in a
circle from left to right along the side of a parallelogram
which is supposed to be inscribed in it, the second
also moving in a circle along the diagonal of the
same parallelogram from right to left; or, in other
words, the first describing the path of the equator,
the second, the path of the ecliptic. The motion
of the second is controlled by the first, and hence
the oblique line in which the planets are supposed
to move becomes a spiral. The motion of the same
is said to be undivided, whereas the inner motion
is split into seven unequal orbits the
intervals between them being in the ratio of two and
three, three of either: the Sun, moving
in the opposite direction to Mercury and Venus, but
with equal swiftness; the remaining four, Moon, Saturn,
Mars, Jupiter, with unequal swiftness to the former
three and to one another. Thus arises the following
progression: Moon 1, Sun 2, Venus 3, Mercury
4, Mars 8, Jupiter 9, Saturn 27. This series of
numbers is the compound of the two Pythagorean ratios,
having the same intervals, though not in the same
order, as the mixture which was originally divided
in forming the soul of the world.
Plato was struck by the phenomenon
of Mercury, Venus, and the Sun appearing to overtake
and be overtaken by one another. The true reason
of this, namely, that they lie within the circle of
the earth’s orbit, was unknown to him, and the
reason which he gives that the two former
move in an opposite direction to the latter is
far from explaining the appearance of them in the
heavens. All the planets, including the sun,
are carried round in the daily motion of the circle
of the fixed stars, and they have a second or oblique
motion which gives the explanation of the different
lengths of the sun’s course in different parts
of the earth. The fixed stars have also two movements a
forward movement in their orbit which is common to
the whole circle; and a movement on the same spot
around an axis, which Plato calls the movement of thought
about the same. In this latter respect they are
more perfect than the wandering stars, as Plato himself
terms them in the Timaeus, although in the Laws he
condemns the appellation as blasphemous.
The revolution of the world around
earth, which is accomplished in a single day and night,
is described as being the most perfect or intelligent.
Yet Plato also speaks of an ‘annus magnus’
or cyclical year, in which periods wonderful for their
complexity are found to coincide in a perfect number,
i.e. a number which equals the sum of its factors,
as 6 = 1 + 2 + 3. This, although not literally
contradictory, is in spirit irreconcilable with the
perfect revolution of twenty-four hours. The
same remark may be applied to the complexity of the
appearances and occultations of the stars, which, if
the outer heaven is supposed to be moving around the
centre once in twenty-four hours, must be confined
to the effects produced by the seven planets.
Plato seems to confuse the actual observation of the
heavens with his desire to find in them mathematical
perfection. The same spirit is carried yet further
by him in the passage already quoted from the Laws,
in which he affirms their wanderings to be an appearance
only, which a little knowledge of mathematics would
enable men to correct.
We have now to consider the much discussed
question of the rotation or immobility of the earth.
Plato’s doctrine on this subject is contained
in the following words: ’The earth,
which is our nurse, compacted (or revolving)
around the pole which is extended through the universe,
he made to be the guardian and artificer of night
and day, first and eldest of gods that are in the
interior of heaven’. There is an unfortunate
doubt in this passage (1) about the meaning of the
word (Greek), which is translated either ‘compacted’
or ‘revolving,’ and is equally capable
of both explanations. A doubt (2) may also be
raised as to whether the words ‘artificer of
day and night’ are consistent with the mere passive
causation of them, produced by the immobility of the
earth in the midst of the circling universe.
We must admit, further, (3) that Aristotle attributed
to Plato the doctrine of the rotation of the earth
on its axis. On the other hand it has been urged
that if the earth goes round with the outer heaven
and sun in twenty-four hours, there is no way of accounting
for the alternation of day and night; since the equal
motion of the earth and sun would have the effect
of absolute immobility. To which it may be replied
that Plato never says that the earth goes round with
the outer heaven and sun; although the whole question
depends on the relation of earth and sun, their movements
are nowhere precisely described. But if we suppose,
with Mr. Grote, that the diurnal rotation of the earth
on its axis and the revolution of the sun and outer
heaven precisely coincide, it would be difficult to
imagine that Plato was unaware of the consequence.
For though he was ignorant of many things which are
familiar to us, and often confused in his ideas where
we have become clear, we have no right to attribute
to him a childish want of reasoning about very simple
facts, or an inability to understand the necessary
and obvious deductions from geometrical figures or
movements. Of the causes of day and night the
pre-Socratic philosophers, and especially the Pythagoreans,
gave various accounts, and therefore the question
can hardly be imagined to have escaped him. On
the other hand it may be urged that the further step,
however simple and obvious, is just what Plato often
seems to be ignorant of, and that as there is no limit
to his insight, there is also no limit to the blindness
which sometimes obscures his intelligence (compare
the construction of solids out of surfaces in his
account of the creation of the world, or the attraction
of similars to similars). Further, Mr.
Grote supposes, not that (Greek) means ‘revolving,’
or that this is the sense in which Aristotle understood
the word, but that the rotation of the earth is necessarily
implied in its adherence to the cosmical axis.
But (a) if, as Mr Grote assumes, Plato did not see
that the rotation of the earth on its axis and of
the sun and outer heavens around the earth in equal
times was inconsistent with the alternation of day
and night, neither need we suppose that he would have
seen the immobility of the earth to be inconsistent
with the rotation of the axis. And (b) what proof
is there that the axis of the world revolves at all?
(c) The comparison of the two passages quoted by Mr
Grote (see his pamphlet on ’The Rotation of
the Earth’) from Aristotle De Coelo, Book II
(Greek) clearly shows, although this is a matter of
minor importance, that Aristotle, as Proclus and Simplicius
supposed, understood (Greek) in the Timaeus to mean
‘revolving.’ For the second passage,
in which motion on an axis is expressly mentioned,
refers to the first, but this would be unmeaning unless
(Greek) in the first passage meant rotation on an axis.
(4) The immobility of the earth is more in accordance
with Plato’s other writings than the opposite
hypothesis. For in the Phaedo the earth is
described as the centre of the world, and is not said
to be in motion. In the Republic the pilgrims
appear to be looking out from the earth upon the motions
of the heavenly bodies; in the Phaedrus, Hestia, who
remains immovable in the house of Zeus while the other
gods go in procession, is called the first and eldest
of the gods, and is probably the symbol of the earth.
The silence of Plato in these and in some other passages
(Laws) in which he might be expected to speak of the
rotation of the earth, is more favourable to the doctrine
of its immobility than to the opposite. If he
had meant to say that the earth revolves on its axis,
he would have said so in distinct words, and have explained
the relation of its movements to those of the other
heavenly bodies. (5) The meaning of the words ‘artificer
of day and night’ is literally true according
to Plato’s view. For the alternation of
day and night is not produced by the motion of the
heavens alone, or by the immobility of the earth alone,
but by both together; and that which has the inherent
force or energy to remain at rest when all other bodies
are moving, may be truly said to act, equally with
them. (6) We should not lay too much stress on Aristotle
or the writer De Caelo having adopted the
other interpretation of the words, although Alexander
of Aphrodisias thinks that he could not have been
ignorant either of the doctrine of Plato or of the
sense which he intended to give to the word (Greek).
For the citations of Plato in Aristotle are frequently
misinterpreted by him; and he seems hardly ever to
have had in his mind the connection in which they
occur. In this instance the allusion is very slight,
and there is no reason to suppose that the diurnal
revolution of the heavens was present to his mind.
Hence we need not attribute to him the error from
which we are defending Plato.
After weighing one against the other
all these complicated probabilities, the final conclusion
at which we arrive is that there is nearly as much
to be said on the one side of the question as on the
other, and that we are not perfectly certain, whether,
as Bockh and the majority of commentators, ancient
as well as modern, are inclined to believe, Plato
thought that the earth was at rest in the centre of
the universe, or, as Aristotle and Mr. Grote suppose,
that it revolved on its axis. Whether we assume
the earth to be stationary in the centre of the universe,
or to revolve with the heavens, no explanation is given
of the variation in the length of days and nights
at different times of the year. The relations
of the earth and heavens are so indistinct in the
Timaeus and so figurative in the Phaedo, Phaedrus
and Republic, that we must give up the hope of ascertaining
how they were imagined by Plato, if he had any fixed
or scientific conception of them at all.