timaeu-第12章
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now been created in idea; among the four elements。
To earth; then; let us assign the cubical form; for earth is the
most immoveable of the four and the most plastic of all bodies; and
that which has the most stable bases must of necessity be of such a
nature。 Now; of the triangles which we assumed at first; that which
has two equal sides is by nature more firmly based than that which has
unequal sides; and of the compound figures which are formed out of
either; the plane equilateral quadrangle has necessarily; a more
stable basis than the equilateral triangle; both in the whole and in
the parts。 Wherefore; in assigning this figure to earth; we adhere
to probability; and to water we assign that one of the remaining forms
which is the least moveable; and the most moveable of them to fire;
and to air that which is intermediate。 Also we assign the smallest
body to fire; and the greatest to water; and the intermediate in
size to air; and; again; the acutest body to fire; and the next in
acuteness to; air; and the third to water。 Of all these elements; that
which has the fewest bases must necessarily be the most moveable;
for it must be the acutest and most penetrating in every way; and also
the lightest as being composed of the smallest number of similar
particles: and the second body has similar properties in a second
degree; and the third body in the third degree。 Let it be agreed;
then; both according to strict reason and according to probability;
that the pyramid is the solid which is the original element and seed
of fire; and let us assign the element which was next in the order
of generation to air; and the third to water。 We must imagine all
these to be so small that no single particle of any of the four
kinds is seen by us on account of their smallness: but when many of
them are collected together their aggregates are seen。 And the
ratios of their numbers; motions; and other properties; everywhere
God; as far as necessity allowed or gave consent; has exactly
perfected; and harmonised in due proportion。
From all that we have just been saying about the elements or
kinds; the most probable conclusion is as follows:…earth; when meeting
with fire and dissolved by its sharpness; whether the dissolution take
place in the fire itself or perhaps in some mass of air or water; is
borne hither and thither; until its parts; meeting together and
mutually harmonising; again become earth; for they can never take
any other form。 But water; when divided by fire or by air; on
reforming; may become one part fire and two parts air; and a single
volume of air divided becomes two of fire。 Again; when a small body of
fire is contained in a larger body of air or water or earth; and
both are moving; and the fire struggling is overcome and broken up;
then two volumes of fire form one volume of air; and when air is
overcome and cut up into small pieces; two and a half parts of air are
condensed into one part of water。 Let us consider the matter in
another way。 When one of the other elements is fastened upon by
fire; and is cut by the sharpness of its angles and sides; it
coalesces with the fire; and then ceases to be cut by them any longer。
For no element which is one and the same with itself can be changed by
or change another of the same kind and in the same state。 But so
long as in the process of transition the weaker is fighting against
the stronger; the dissolution continues。 Again; when a few small
particles; enclosed in many larger ones; are in process of
decomposition and extinction; they only cease from their tendency to
extinction when they consent to pass into the conquering nature; and
fire becomes air and air water。 But if bodies of another kind go and
attack them 'i。e。 the small particles'; the latter continue to be
dissolved until; being completely forced back and dispersed; they make
their escape to their own kindred; or else; being overcome and
assimilated to the conquering power; they remain where they are and
dwell with their victors; and from being many become one。 And owing to
these affections; all things are changing their place; for by the
motion of the receiving vessel the bulk of each class is distributed
into its proper place; but those things which become unlike themselves
and like other things; are hurried by the shaking into the place of
the things to which they grow like。
Now all unmixed and primary bodies are produced by such causes as
these。 As to the subordinate species which are included in the greater
kinds; they are to be attributed to the varieties in the structure
of the two original triangles。 For either structure did not originally
produce the triangle of one size only; but some larger and some
smaller; and there are as many sizes as there are species of the
four elements。 Hence when they are mingled with themselves and with
one another there is an endless variety of them; which those who would
arrive at the probable truth of nature ought duly to consider。
Unless a person comes to an understanding about the nature and
conditions of rest and motion; he will meet with many difficulties
in the discussion which follows。 Something has been said of this
matter already; and something more remains to be said; which is;
that motion never exists in what is uniform。 For to conceive that
anything can be moved without a mover is hard or indeed impossible;
and equally impossible to conceive that there can be a mover unless
there be something which can be moved…motion cannot exist where either
of these are wanting; and for these to be uniform is impossible;
wherefore we must assign rest to uniformity and motion to the want
of uniformity。 Now inequality is the cause of the nature which is
wanting in uniformity; and of this we have already described the
origin。 But there still remains the further point…why things when
divided after their kinds do not cease to pass through one another and
to change their place…which we will now proceed to explain。 In the
revolution of the universe are comprehended all the four elements; and
this being circular and having a tendency to come together; compresses
everything and will not allow any place to be left void。 Wherefore;
also; fire above all things penetrates everywhere; and air next; as
being next in rarity of the elements; and the two other elements in
like manner penetrate according to their degrees of rarity。 For
those things which are composed of the largest particles have the
largest void left in their compositions; and those which are
composed of the smallest particles have the least。 And the contraction
caused by the compression thrusts the smaller particles into the
interstices of the larger。 And thus; when the small parts are placed
side by side with the larger; and the lesser divide the greater and
the greater unite the lesser; all the elements are borne up and down
and hither and thither towards their own places; for the change in the
size of each changes its position in space。 And these causes
generate an inequality which is always maintained; and is
continually creating a perpetual motion of the elements in all time。
In the next place we have to consider that there are divers kinds of
fire。 There are; for example; first; flame; and secondly; those
emanations of flame which do not burn but only give light to the eyes;
thirdly; the remains of fire; which are seen in red…hot embers after
the flame has been extinguished。 There are similar differences in
the air; of which the brightest part is called the aether; and the
most turbid sort mist and darkness; and there are various other
nameless kinds which arise from the inequality of the triangles。
Water; again; admits in the first place of a division into two
kinds; the one liquid and the other fusile。 The liquid kind is
composed of the small and unequal particles of water; and moves itself
and is moved by other bodies owing to the want of uniformity and the
shape of its particles; whereas the fusile kind; being formed of large
and uniform particles; is more stable than the other; and is heavy a