The Spectrum as a Script of the Spirit
The realization that Newton's explanation of the spectrum fails to meet
the facts prompted Goethe to engage in all those studies which made him
the founder of a modern optics based on intuitive participation in the
phenomena. In spite of all that he achieved, however, he never reached
a real solution of the riddle of the colour-phenomenon produced when
light passes through a transparent body of prismatic shape. For his
assumption of certain 'double images', which are supposed to appear as
a result of the optical displacement of the boundaries between the
Light-filled and the Dark-filled parts of space and the mutual
superposition of which he believed to be responsible for the appearance
of the respective colours, does not solve the problem.1
What hindered Goethe in this field was his limited insight into the
nature of the two distinct kinds of forces which, as we have noted in
the course of our own inquiries, correspond to his concepts of Licht
and Finsternis.
With the aid of this distinction - which we have indeed established
through a consistent application of Goethe's method - we shall now be
able to develop precisely that insight into the coming-into-being of
the spectral colours which Goethe sought.2
*
Dynamically, the process of the formation of the spectrum by light that
passes through a prism divides into two clearly distinguishable parts.
The first consists in the influence which the light undergoes inside
the prism as a result of the latter's special shape, the other, in what
happens outside the prism at the boundary between the Light-space -
influenced by the shape of the prism - and the surrounding Dark-space.
Accordingly, we shall study these two parts of the process separately.
As an aid to distinguishing clearly one process from the other, we
shall suppose the prism experiment to be so arranged that the light
area is larger than the width of the prism, which will then lie
completely within it. We shall further suppose the dimensions of the
whole to be such that the part observable on the screen represents only
a portion of the total light-realm situated between the boundaries of
the prism. The result is that the screen depicts a light-phenomenon in
which there is no trace of colour. For normal eyesight, the phenomenon
on the screen differs in no way from what it would be if no prism
intervened in the path of the light.
These two seemingly identical light-phenomena reveal at once their
inner dynamic difference if we narrow the field of light from either
side by introducing into it an object capable of casting shadow. If
there is no prism we see simply a black shadow move into the illumined
area on the screen, no matter from which side the narrowing comes. If,
however, the light has come through a prism (arranged as described
above) certain colours appear on the boundary between the regions of
light and shadow, and these differ according to the side from which the
darkening is effected. The same part of the light area may thus be made
to display either the colours of the blue pole of the colour-scale, or
those of the yellow pole. This shows that the inner dynamic condition
of the light-realm is altered in some way by being exposed to an
optically resistant medium of prismatic shape. If we are to find the
cause and nature of this alteration we must revert to the prism itself,
and inquire what effect it has on light in the part of space occupied
by it. By proceeding in this way we follow Goethe's model: first, to
keep the two border-phenomena separate, and, secondly, not to ascribe
to the light itself what is in fact due to certain boundary conditions.
In order to realize what happens to the light in passing through the
prism, let us remember that it is a characteristic of an ordinary
light-beam to direct itself through space in a straight line if not
interfered with, and to illuminate equally any cross-section of the
area it fills. Both these features are altered when the light is
exposed to a transparent medium of prismatic shape - that is, to an
optically resistant medium so shaped that the length of the light's
passage through it changes from one side of the beam to the other,
being least at the so-called refracting edge of the prism, greatest at
the base opposite to that. The dimming effect of the medium, therefore,
has a different magnitude at each point of the width of the beam.
Obviously, the ratio between levity and gravity inside such a
light-realm, instead of being constant, varies from one side to the
other. The result is a transverse dynamic impulse which acts from that
part of the light-realm where the weakening influence of the prism is
least towards the part where it is strongest (see long arrow in Plate
C, Fig. i).3 This impulse manifests in the deflection of the light from
its original course. Apart from this, nothing is noticeable in the
light itself when caught by an observation screen, the reason being
that the transverse impulse now immanent in the light-realm has no
effect on the reflecting surface.
The situation changes when the light-realm is narrowed down from one
side or the other - in other words, when an abrupt change of the
field-conditions, that is, a sudden leap from light to dark or from
dark to light, is introduced within this realm. In this case, clearly,
the effect of the transverse field-gradient on such a leap will be
different, depending on the relation between the directions of the two
(see small arrows in Fig. i). Our eyes witness to this difference by
seeing the colours of the blue pole of the colour-scale appear when the
field-gradient is directed towards the leap (a), and the colours of the
yellow pole when the gradient is directed away from it (b).
For our further investigation it is very important to observe how the
colours spread when they emerge at the edge of the shadow-casting
object thus introduced into the light-realm from the one side or the
other. Figs, ii and iii on Plate C show, closely enough for our
purpose, the position of the colour-bearing areas in each case, with
the dotted line indicating the direction which the light would have at
the place of origin of the colours if there were no object interfering
with its free expansion.4 We observe a distinct difference in the
widening out of the two colour-areas on both sides of the original
direction of the light: in each case the angle which the boundary of
the colour-area forms with this direction is smaller on the side of the
colours nearest the light-realm (blue and yellow respectively) than on
the opposite side (violet and red).
Remembering what we have learnt about the dynamic characteristics of
the two colour-poles, we are now in a position to state the following.
When a light-area subject to a lateral gradient is narrowed down, so
that the gradient is directed towards the narrowing object, colours
arise in which the interaction between the two polarically opposite
forms of density is such that positive density makes for lightness, and
negative density for darkness. Whereas, when the border is so situated
that the gradient is directed away from it, the interaction is such
that positive density makes for darkness, and negative density for
lightness. Further, the fact that on both occasions the darkness
element in the colour-band increases in the outward direction tells us
that in this direction there is on the blue-violet side a gradual
decrease in positive, and increase in negative, density, while on the
opposite side we find just the reverse. We note again that both
processes occupy a considerable part of the space originally outside
the boundaries of the light-area - that is, at the violet end the part
towards which the light-beam is deflected, and at the red end the part
from which it turns away.
The visual ray, when penetrating actively into the two colour-phenomena
thus described, receives evidence of a dynamic happening which may be
expressed as follows.
Where the transverse impulse, which is due to the varying degree of
Trübung in the light-realm, is directed towards the latter's edge, the
intermingling of the Dark-ingredient and the Light-ingredient,
contained in that realm, is such that Dark follows Light along its
already existing gradient, thereby diminishing steadily. Hence our
visual ray, meeting conditions quite similar to those occurring when we
look across the light-filled atmosphere into universal space, notifies
us of the presence of the blue-violet colour-pole. If, on the other
hand, the edge is in the wake of the transverse impulse, then a kind of
dynamic vacuum arises in that part of space from which the beam is
deflected, with the effect that the Dark-ingredient, imprinted on the
light within the prism, is drawn into this vacuum by following a kind
of suctional influence. Consequently Dark and Light here come to oppose
one another, and the former, on its way out of the light-area, gains in
relative strength. On this side our visual ray meets conditions
resembling those which occur when we look across the darkening
atmosphere into the sun. Accordingly our optical experience tells us of
the presence of the yellow-red colour-pole.
From our description of the two kinds of dynamic co-ordination of
positive and negative density at the two ends of the spectrum it
follows that the spatial conditions prevailing at one end must be quite
different from those at the other. To see this by way of actual
perception is indeed not difficult. In fact, if we believe that we see
both ends of the spectrum lying, as it were, flatly on the surface of
the observation screen, this is merely an illusion due to our
superficial way of using our eyes. If we gaze with our visual ray
(activated in the manner previously described) into the two sides of
the spectrum, while turning our eyes alternately in one or other
direction, we soon notice that the colours of the yellow-red rise
towards the eye so as to give the impression of protruding almost
corporeally from the surface of the screen. We feel: Density obtains
here in a state of fiery radiation. When turning to the other side we
feel our visual ray, instead of being as before caught up in the
colours, passing freely across the colours as if carried by them into
the infinite. On the blue-violet side, space itself seems to fluoresce
mysteriously5. Following Goethe's conception of the physical-moral
effect of colours, we may describe the experience received thus from
the two poles of the spectrum by saying that an 'other-worldly'
character belongs to the colours of the blue-violet pole; an 'earthly'
character to those of the yellow-red; while that of green, which
appears when both sides are made to overlap, witnesses to its mediating
nature between the two.
*
In our endeavour to view the fundamental experiment of Newtonian optics
with the eyes of Goethe we have been led from the wide expanse of the
earth's sunlit periphery into the confines of the darkened experimental
chamber. With the aid of the results gained from studying the
artificially produced spectrum phenomenon, we shall now return to our
original field of observation in order to study the same phenomenon in
nature. There it meets us in the form of the rainbow, which we shall
now be able to read as a chapter in the great book of nature.
From what we have learnt already we can say at once that the rainbow
must represent some sort of border-phenomenon, thus pointing to the
existence of a boundary between two space-regions of differing
illumination. Our question therefore must be: what is the light-image
whose boundary comes to coloured manifestation in the phenomenon of the
rainbow? There can be no doubt that the image is that of the sun-disk,
shining in the sky. When we see a rainbow, what we are really looking
at is the edge of an image of the sun-disk, caught and reflected, owing
to favourable conditions, in the atmosphere. (Observe in this respect
that the whole area inside the rainbow is always considerably brighter
than the space outside.)
Once we realize this to be the true nature of the rainbow, the peculiar
order of its colours begins to speak a significant language. The
essential point to observe is that the blue-violet part of the spectrum
lies on the inner side of the rainbow-arch - the side immediately
adjoining the outer rim of the sun-image - while the yellow-red part
lies on the outer side of the arch - the side turned away from the
sun-image. What can we learn from this about the distribution of
positive and negative density inside and outside the realm occupied by
the sun-disk itself in the cosmos?
We remember that along the gradient from blue to violet, negative
density (Light) increases and positive density (Dark) decreases, while
from yellow to red it is just the reverse-positive density increases
and negative density decreases. The rainbow therefore indicates a
steady increase of Dark towards the outer rim, and of Light towards the
inner. Evidently, what the optical image of the sun in the atmosphere
thus reveals concerning the gradation of the ratio between Light and
Dark in the radial direction, is an attribute of the entire light-realm
which stretches from the sun to that image. And again, the attribute of
this realm is but an effect of the dynamic relation between the sun
itself and the surrounding cosmic space.
The rainbow thus becomes a script to us in which we read the remarkable
fact that the region occupied by the sun in the cosmos is a region of
negative density, in relation to which the region surrounding the sun
is one of positive density. Far from being an accumulation of
ponderable matter in a state of extremely high temperature, as science
supposes, the sun represents the very opposite of ponderability. (It
would be beyond the scope of this book to show how in the light of this
fact one learns to re-read the various solar phenomena known to
science.)
Once we realize this, our judgment of all that our terrestrially
devised optical instruments, such as the telescope and spectroscope,
tell us about the nature of the sun and its surroundings, will change
accordingly. For it becomes clear that for the interpretation of solar
phenomena shown by these instruments we cannot properly use concepts
derived from observations within the earth's realm of positive density.
To compare adequately solar and terrestrial phenomena, we must keep in
mind that they are in every respect polar opposites. For instance, the
fact that the spectroscope reveals phenomena in the sun's light which
are strikingly similar to others occurring when earthly matter is first
caused to emit light - that is, brought near the upper border of its
ponderable existence - and then studied spectroscopically, should not
impose on us the illusion that the sun consists of matter in this same
condition. On the contrary, the similarity should tell us that
imponderable substance, while on its way between sun and earth to
ponderable existence, assumes, at the point of transition, aspects
exactly like those revealed by ponderable substance at the
corresponding point in its upward transformation.
What we observe, when we study the sun through a spectroscope, is not
the sun itself, but the conditions obtaining in this border-region,
where imponderable substance enters the earth-realm.
The rainbow, directly we learn to see it as the border-phenomenon that
it is, tells us something of itself which revives in modern form a
conception held generally in former ages, when it was seen as a
mediator between the cosmic-divine and the earthly-human worlds. Thus
the Bible speaks of it as a symbol of God's reconciliation with the
human race after the great Flood. Thus the Greeks beheld it when they
saw it as the bridge of Iris, messenger of the Gods; and similarly the
Germanic mythology speaks of it as the pathway along which the souls of
the fallen warriors draw near to Valhalla. By recovering this old
conception in a new and scientifically grounded form we are enabled
also to rectify the misunderstanding from which the ancient
bridge-conception of the rainbow has suffered in later days, when
tradition had begun to replace direct insight into the truth.
When with the rise of man's onlooker-relation to the world of the
senses, the rainbow could appear to him only as a form flattened
against the sky, people began to think that the ancient picture of it
as a bridge had been derived from its likeness to the latter's arched
form. Representations of the rainbow from these times indeed show
supersensible beings, such as the souls of the dead, moving upwards and
downwards along the two halves of the arch. It is not in this abstract
way that ancient man formed his cosmic imagery. What was seen going on
between the upper and nether worlds when a rainbow appeared in the
heights of the atmosphere was no traffic over the arch, but an
interplay across the rainbow between the realm of levity, glimmering
down in the rainbow's violet border, and the realm of gravity glowing
up from the red. And this is how we have now learnt to see it again.
*
At one point in our optical studies (page 259) we referred to some
words of Ruskin in which he deplored the influence exerted on the
soul-life of modern man by the world-conception of science. He
illustrated this by showing how much less inspiration a man trained in
the science of optics receives from the sight of a rainbow than does a
'simple peasant'. One lesson of our studies is that training in optics,
if it proceeds on Goethean lines, has no such detrimental effect. There
is, however, a further problem, outside Ruskin's scope, which we are
now able to approach in the same healthy way.
Ruskin distinguishes between three possible stages in man's relation to
the world of the senses. The first stage he calls that of 'inactive
reverie'; the second - in a certain respect more advanced - that of
'useful thought', the stage of scientifically awakened man to whom all
things disintegrate into countable and nothing but countable parts.
Beyond this, Ruskin conceives of a third, still higher stage, in which
man becomes capable of raising himself through 'higher contemplation'
into an artistic-ethical relation to the content of the sense-world.
Now, in the way Ruskin represents the second and third stages they seem
to be exclusive of one another. That was as far as he could go, in his
own day. Natural observation along Goethean lines leads to a form of
higher contemplation which unites the second and third stages by
nourishing man's ethical being and at the same time furnishing him with
useful knowledge-knowledge, that is, which enables him to improve the
conditions of the human race on the earth. The following is an example
of the practical possibilities that open up in the field we are
discussing if we apply the knowledge gained through our new approach to
the forces working in nature.
We shall speak here of a task of experimental research which was
mentioned by Rudolf Steiner in connexion with the renewal of natural
science.
Rudolf Steiner felt the need for pioneers who, by advancing along the
paths opened up by Goethe, would press forward into the realm of
undiscovered phenomena on the upper border of nature, and this prompted
him to give to those who were ready to listen various pointers towards
new ways of experimental research. In so far as practical results have
already been reached along these lines, they lie in the fields of
biology and physiology (and of chemistry, in a certain respect) rather
than in that of physics. Now, among the indications given in this
latter field, and not yet worked out, there is one which deals with a
way, unknown to-day, of influencing the spectrum by the magnet.
The possibility of a magnetic influence on the spectrum is, in itself,
not unknown to modern physics. It was the Dutchman, Zeeman, who first
observed a change in the appearance of certain spectral lines as a
result of light passing through a magnetic field. This discovery,
however, is in two respects typical of modern science. The Zeeman
effect consists in the splitting up of certain spectral lines into
other lines - hence, of a breaking up of a whole into parts. And by
seemingly providing a decisive confirmation of contemporary views
concerning the electromagnetic nature of light, Zeeman's discovery has
formed one of the milestones in the progress of modern physical thought
- with the usual result that an enlargement of man's knowledge of the
behaviour of natural forces has served to entangle his conception of
nature still more deeply in illusion.
Apart from the fact that our own way of combining observation and
thought guards us against drawing theoretical conclusions from Zeeman's
discovery, Rudolf Steiner's indication opens up the prospect of
achieving quite practical results, opposite in character to those of
the Zeeman effect. For in contradistinction to the use of a magnetic
field for splitting the spectrum, Rudolf Steiner has made us aware of
the possibility of uniting into a higher synthesis parts of the
spectrum which normally appear in separated form. His indication points
to nothing less than a leading over of the optically produced spectrum
from its usual linear form, with two boundaries on either side, into a
closed circular form, and of doing this by an adequate application - as
yet undiscovered - of magnetic force. Further, according to his
statement, the point where the two ends of the spectrum meet will prove
to be a fountain-head of certain higher natural forces which otherwise
are not directly accessible.
In order to understand how this is possible, we must remember that in
two respects the spectrum is not a complete phenomenon. There is, to
begin with, the fact that the colour-band visible on the observation
screen is only apparently confined to the surface of the screen. For,
as we have seen, because of the differing co-ordination of levity and
gravity at the two ends of the spectrum, the conditions of space
prevailing at each are polarically opposite. Negative space opens up
spherically behind the blue-violet colours on one side, while positive
space, filled by the radially shining yellow-red colours, arises on the
other. So we see that what we found earlier for the two poles of
magnetism and electricity holds good also for the spectrum. That is,
the two processes bringing about the relevant phenomena are not
confined to the part of space which these phenomena seem to occupy; for
the whole positive and negative realms of the universe share in them.
Hence the spectrum, though apparently bounded at its two ends, proves
by its very nature to be part of a greater whole.
Once before we were led to recognize - though from a different aspect -
that the spectrum is a phenomenon which, when rightly viewed, calls for
a certain completion. In following Goethe's initial observations we
realized that the known spectrum, extending from red via green to
violet, has a counterpart extending from violet via peach-blossom to
red. The reader may have wondered why we never returned to this other
spectrum, in spite of the role it played in making Goethe aware of
Newton's error. The reason was that in order to gain the understanding
we needed of the spectrum, we had to observe the two border-phenomena
independently - that is, without regard to their relative positions.
Moreover, with ordinary optical means it is possible to produce only
one type of spectrum at a time, so that each is left in need of being
complemented by the other. In order to have both together in finite
space, as part of one and the same phenomenon, space itself must be
dynamically transformed in such a way that the continuation of the
finite spectral band running through infinity enters into the finite as
well.
Our understanding of magnetism as a specific representation of the
polarity of the second order enables us to comprehend, at least in
principle, how magnetism might influence - not light itself, as
present-day physics erroneously believes - but the secondary polarity
of the spectral colours formed out of the primary polarity Light and
Dark. To see this in all necessary detail is a task of the future,
beyond the scope of this book. We have here to continue our account of
Rudolf Steiner's statement by communicating what he indicated
concerning the particular nature of the new source of force which would
appear in the normally infinite part of the spectrum, if this were
brought into the region of the finite.
In order to understand the significance of this indication we must turn
our attention to parts of the ordinary spectrum, well known in
themselves, which we have purposely left out of our study so far. These
are the regions of the ultra-violet and the infra-red, invisible in
themselves, but forming part of the spectrum as a whole. The
ultraviolet manifests through chemical effects, the infra-red through
thermal effects. We have left them out of our considerations because
these regions of the spectrum differ from the visible part not only
quantitatively, as present-day science believes, but qualitatively
also, and in a fundamental way. We must regard them as dynamic realms
of particularly extreme spherical and radial activities. As such they
represent metamorphoses, in the Goethean sense, of the levity-gravity
interaction represented by the optically visible part of the spectrum.
In this way the spectrum discloses a threefold differentiation of that
region of force, which up to now we have called simply levity, into
activities producing chemical, optical and thermal effects.
So far physical investigation is able to lead us, but no further. If,
however, we let nature herself speak to us, while holding this
differentiated concept of levity in mind, she tells us that beyond the
three metamorphoses envisaged so far, there must be a fourth.
Let us remember that it was certain phenomena of life which first made
us aware of the existence of a realm of forces with the attributes of
anti-gravity, and that these forces revealed themselves first as
creators of form. Now it is obvious that warmth, light and chemical
energy, though they all play an essential part in living organisms,
could never by themselves bring about that 'catching from chaos,
carbon, water, lime and what not and fastening them into a given form'
which Ruskin describes as the activity of the spirit in the plant. In
order to be in this sense an instrument of the spirit active in nature,
levity must be capable of yet another metamorphosis into an activity
which controls the other three, so that through their action,
definitely shaped organic structures may come into being.
The reason why this fourth and highest metamorphosis of Light does not
appear in the ordinary spectrum is because it is of too spiritual a
quality to be caught by the optical apparatus. In nature herself a
creative life-process requires always the presence of a germ already
imbued with life. And so, in order to call this fourth metamorphosis of
Light into the spectrum, stronger means are needed than the mere
optical transformation of light-filled spaces. This stronger agent,
according to Rudolf Steiner, is magnetism. With the aid of this it will
be possible to organize together round a common spatial centre that
part of the activity of levity which escapes the optical instrument and
thus remains cosmic, and that part which appears by itself in
terrestrial space.
Once this is practically carried out, we may expect a complete
colour-circle to appear as already divined by Goethe. The full circle
consists of twelve discernible colours, with the Goethean peach-blossom
diametrically opposite the green. It is in this region of the
peach-blossom that - again according to Rudolf Steiner - we shall find
a source of actively working life-forces, springing from the fourth
metamorphosis of levity. Such is the prospect for research work guided
on the new lines.
POSTSCRIPT
The fact of our having disclosed here one of Rudolf Steiner's
indications concerning as yet undetected possibilities of scientific
research, makes it necessary to deal with an objection which may be
raised, particularly by some readers who already know this indication
through their own relation to Rudolf Steiner's work. They may object to
a discussion of the subject in a publication such as this, feeling it
dangerous to hand over to the world information which in the economic
battles of to-day might be used in a sense contrary to the social-moral
aims to which the work of Rudolf Steiner was dedicated.
In reply it may be said that all we have gone through in this book has
shown that concrete knowledge of the world cannot be gained without a
certain ethical effort by the seeker. Therefore, anyone who receives
such knowledge with a passive attitude of soul will find it
meaningless, and will be quite unable to turn it to practical account.
We may therefore rest assured that the solution of the problem related
here, as of any other experimental task set by Rudolf Steiner, will
contain in itself a guarantee that no use will be made of it
detrimental to the true progress of mankind.
On the other hand, the present world-situation, which to so high a
degree is determined by the vast liberation of the sub-physical forces
of the earth, makes one feel it is essential not to close the
considerations of the fields of knowledge dealt with in these chapters,
without a hint at the practical possibilities which arise from a
continuation of Goethe's strivings in this field.
1 See, in Rudolf Steiner's edition of Goethe's scientific writings, his
footnote to Goethe's criticism of Nuguet's theory of the spectrum in
the historical part of the Farbenlehre (Vol. IV, p. 248, in Kürschner's
edition).
2 It is obvious that the reader who wishes to appreciate fully the
significance of the observations described in the following paragraphs,
must, as in previous cases, carry out these observations himself.
3 In this and the two following diagrams the light-realm has been
represented as being less wide than the space obtained by the prism. To
avoid unnecessary complexity the colours which, in such a case,
actually appear at the border of the light-realm where it emerges from
the prism are not shown in any of the diagrams.
4 This direction can be established with sufficient exactitude by
holding a very thin object right in front of the prism and marking with
a stretched thread the direction which leads from the object to its
shadow on the screen. The colour-producing edge must then be introduced
from either side so that it just touches the thread.
5 The difference in character of the various parts of the spectrum, as
described above, comes out particularly impressively if for capturing
the colour-phenomenon one uses instead of a flat white surface, a clear
crystal of not too small size, or else a cluster of crystals - moving
it slowly along the coloured band from one end to the other. (I am
indebted to Fr. Julius, teacher of Natural Science at the Free School
in The Hague, for this suggestion.)
PART III
Towards a New Cosmosophy
CHAPTER XIX
The Country in which Man is not a Stranger
I question not my Corporeal or Vegetative Eye any more than I question
a window concerning sight. I look through it and not with it.
WILLIAM BLAKE.
(a) INTRODUCTORY NOTE
A fundamental achievement along our path of study was the recognition
that a force of levity exists, polar to that of gravity, and that these
two together represent a primary polarity in nature which in turn is
the source of nature's manifold secondary polarities.
In the last part of these studies a vista opened up of an inner
differentiation of levity itself into warmth, light, chemical action
and the formative activity of life. Our next task will be to develop a
clearer conception of these four modes of action of levity.
In undertaking this task, however, we shall have to extend our
observations of nature beyond the frontier that can be reached by using
only what we can learn from Goethe. It is here that Rudolf Steiner
comes to our aid by what he was able to impart through his researches
in the realm of the supersensible itself.
This turning to information given by another mind, whose sources of
knowledge are beyond our own immediate reach, seems at first sight to
be incompatible with the principles guiding all our studies hitherto;
for in gaining insight into the How and Whence of a phenomenon of the
sense-world we have up to now admitted only what is yielded by an
observation of the phenomenon per se (though with the aid of the 'eye
of the spirit') and of other phenomena related to it. This is what we
have called 'reading in the book of nature', and we have found it to be
the method on which a science aspiring to overcome the onlooker-picture
of the universe must be based. So we must first make sure that the step
we now propose to take does not violate
this principle.
*
The assurance we want will be found in two characteristics of the
communications made by Rudolf Steiner from his researches. The content
of these communications was acquired by way of a 'reading' which is
nothing but a higher metamorphosis of the reading first employed by
Goethe; and the acceptance of this content by another mind is itself
nothing but another act of reading, save that the direction of the
reading gaze differs from the usual one.
In order to understand this we must go back to what we learnt in the
course of our optical studies as to the two forms of vision arising
from the activity of the eye's inner light - the dream-vision and the
seeing of after-images. Of these two, seeing in dream is in a certain
sense the purer form of inner seeing in that it arises without any
outer stimulus exercised upon the physical organ of sight. On the other
hand, it lacks that objective conformity to law characteristic of the
after-images which mirror the order of the external world. There is an
arbitrary, enigmatic element in dream-pictures, and their logic often
seems to run counter to that of waking consciousness. A further
characteristic of dream-perception is that we are tied to the level of
consciousness prevailing in the dream. While we are dreaming we cannot
awaken to the extent of being able to make the pictures the object of
conscious observation.
With the after-images it is different. Although to begin with they are
present in our consciousness with a clarity no greater than that of the
dream-pictures, nevertheless we are able so to enhance our
consciousness of them as to bring them under observation like any
external phenomenon. As previously shown, it is possible, even while
the eye is riveted on an impression from outside, to develop such
awareness in the activity of the inner light called forth by this
impression, that together with the results of the deeds and sufferings
of the light we can perceive something of these deeds and sufferings
themselves. Perception of the after-images thus turns into what we may
call perception of simultaneous images. (This activity of the eye
corresponds with what Goethe, in a different connexion, called an
'alliance of the eyes of spirit with the eyes of the body'.)
These two forms of visual perception - which we may briefly call: (1)
perception of post-images, and (2) perception of co-images - represent
successive rungs on a 'spiritual ladder' pointing beyond themselves to
a further rung. By the logic of succession this may be expected to
consist in some sort of seeing of pre-images, with the characteristic
of being a still less physical mode of seeing than the two others. This
seeing must be based on an activity of the inner light which will be
similar to that in dream by its arising without any stimulus from
external light-impressions, yet at the same time there must be no
arbitrariness in the contents of this perception. Further, our
consciousness in this perceptive activity must be such as to allow us
to be in full control of it, as we are of ordinary day-waking seeing.
This kind of pure sense-free perception does indeed exist, and it can
be aroused by means of a well-ordered training from the dormant state
in which it is present in every human being. Anyone who learns to see
in this way gains perception of the activity of cosmic light,
contacting it directly with his own inner light - that is to say,
without mediation of his corporeal eye which is subject to gravity. So
this eye-of-the-spirit becomes capable of perceiving the levity-woven
archetypes (ur-images), which underlie all that the physical eye
discerns in the world of ordinary space.
In respect of the intrinsic character of the world-content thus
perceived, Rudolf Steiner called this mode of perception, Imaginative
perception, or, simply, Imagination. By so doing he invested this word
with its due and rightful meaning.
From what we found in our optical studies concerning the nature of
after-images (Chapter XV), it is clear that the acquisition of
Imaginative perception rests on a re-awakening in the eye (and thus in
the total organism behind the eye) of certain 'infant' forces which
have grown dormant in the course of the growing up of the human being.
It thus represents a fulfilment of Thomas Reid's philosophic demand.
Consequently we find among the descriptions which Traherne gives of the
mode of perception peculiar to man when the inner light, brought into
this world at birth, is not yet absorbed by the physical eye, many
helpful characterizations of the nature of Imaginative perception, some
of which may be quoted here.
Consider, in this respect, the following passage from Traherne's poem
The Praeparative, quoted earlier. In describing the state of soul at a
time when the physical senses are not yet in operation, Traherne says:
'Then was my Soul my only All to me,
A living, endless Ey, Whose Power, and Act, and Essence was to see:
I was an inward Sphere of Light Or an interminable Orb of Sight,
Exceeding that which makes the Days,
A vital sun that shed abroad its Rays:
All Life, all Sense,
A naked, simple, pure Intelligence.''
This is the condition of soul of which Traherne says in the same poem
that through it a man is still a recipient of the 'true Ideas of all
things'. In this condition the object of sight is not the corporeal
world which reflects the light, but light itself, engaged in the
weaving of the archetypal images. In a later passage of the same poem
Traherne expresses this by saying:
'Tis not the Object, but the Light
That maketh Hev'n. ...'
And more clearly still in the following part of his poem An Infant Eye:
'A simple Light from all Contagion free,
A Beam that's purely Spiritual, an Ey
That's altogether Virgin, Things doth see
Ev'n like unto the Deity;
That is, it shineth in an hevenly Sense,
And round about (Unmov'd) its Light dispense.
'The visiv Rays are Beams of Light indeed,
Refined, subtil, piercing, quick and pure;
And as they do the sprightly winds exceed,
Are worthy longer to endure;
They far out-shoot the Reach of Grosser Air,
With which such Excellence may not compare.
But being once debas'd, they soon becom
Less activ than they were before.'
How at this stage the soul experiences the act of perception in itself
is shown in the following passage from the poem Wonder:
'A Nativ Health and Innocence
Within my Bones did grow
And while my God did all his Glories show
I felt a vigour in my Sense
That was all SPIRIT: I within did flow
With seas of Life like Wine.'
Utterances of this kind illustrate the fact that perception of the
ur-images of the world consists in a reading with the
eye-of-the-spirit, which has been rendered so strong that for its
action no support from the physical eye is any longer required. This
faculty of spiritual Imagination (which Rudolf Steiner was able to
exercise in advance of other human beings) is acquired on a path of
training which is the direct continuation of the Goethean path.1
It remains to show that acceptance of information obtained through
spiritual Imagination, without ourselves being as yet in actual command
of it, is not in contradiction with the principles of 'reading'. Let
us, to this end, think of reading in the ordinary sense of this word,
calling to mind that for the acquisition of this faculty we depend on
someone who can teach it because he already has it. Exactly the same
holds good for the reading with which we are here concerned. Here, too,
a teacher already possessing this faculty is required. Thus Goethe
became for us a teacher of reading, and it would be a mistake to
imagine that he, for his part, needed no teacher. In his case this
function was fulfilled partly by what he learned through his studies of
the earlier fruits of man's spiritual activity, that is, from an epoch
when vestiges at least of the original, instinctive faculty of
spiritual Imagination were still extant. A similar function on our own
path of study was performed by our occupation with the old doctrine of
the four elements and the basic concepts of alchemy.
Indispensable as is such a training in reading by turning to past
conceptions of man, it does not suffice to meet the present-day demands
of a scientific understanding of the universe. For this, we need a
'technique' of reading that cannot be attained along these lines alone.
Awareness of this fact led Rudolf Steiner to pursue his
spiritual-scientific investigations and to communicate the results in
such a way that they can be a 'school of reading' for those who study
them.2 In point of fact we have already made use in this sense of one
of the results of Rudolf Steiner's researches, for at the very
beginning of this book his picture of the threefold psycho-physical
organism of man was taken as the basis of our own investigations. The
reason why the present remarks were not then included is that the
relevant results of higher research were in that case of such a nature
that, once known, they could be confirmed by the simplest kind of
self-observation. The fact, however, remains that from the very
beginning we have called upon one fully trained in reading, to help in
deciphering certain facts of nature - in this case of human nature.
A similar need, though now in an amplified form, arises at the present
stage of our studies. And here, out of the wealth of knowledge conveyed
by Rudolf Steiner from the realm of supersensible Imagination, it is
his characterization of the four modifications of levity which will now
give the guidance necessary for our own observation. Adopting the
terminology chosen by him for the description of this sphere, we shall
in future speak of it as of the 'Ether' pervading the universe (thus
using this word also in its true and original meaning). Accordingly, we
shall refer to its fourfold differentiation as to the four kinds of
ether: Warmth-Ether, Light-Ether, Chemical Ether and Life-Ether.
* *
*
(b) WARMTH
We begin with the warmth-ether as the only modification of ether which
combines certain etheric with certain physical properties. Constituting
as it does a border-condition between the two worlds, the warmth-ether
has, on the one hand, the function of receiving the picture-weaving
transmitted to it by the higher ethers, and, on the other, of bringing
physical matter into the state where it becomes receptive to the
working of the etheric forces. The warmth-ether achieves this by
freeing matter from being controlled one-sidedly by the centre-bound
forces of the earth. It thus calls forth, when acting physically, the
processes of melting of solids and of evaporation of liquids: phenomena
which yielded the initial observations for our introduction of the
concept of levity. In processes of this kind we now recognize the
physical manifestation of a universal function of the warmth-ether,
namely, to divest matter of all form and to lead it over from the realm
dominated by gravity into that of levity. Provided we attach the right
meaning to the word, we may say that the function of the warmth-ether
is to bring about chaos at the upper border of physical nature. It is
thus that we have already found it working in the plant, when through
the union of the pollen with the seed a state of chaos is produced
within the seed, which enables the type to impress anew its
form-principle into it.
Another instance of the warmth-ether's anti-gravitational effect, also
discussed earlier, is the earth's seismic activity. True, it appears at
first sight as if little were gained by speaking of warmth-ether,
instead, as we did previously, of levity in general. But it must not be
forgotten that in the ether-realm as a whole, warmth - that is, the
overcoming of earthly gravity - is only one of the four modes of
etheric action, albeit the one which enables the other three to work
into the physical world. We shall see, later on, that only by taking
into account the action of the higher modifications of the ether is it
possible to gain insight into the true causes of the apparently so
arbitrary occurrences of volcanic and kindred phenomena. Here, too, it
is the function of the warmth-ether to produce in the physical sphere
the chaos which is necessary to make the physical sphere receptive to
the activities going on in higher spheres.
In view of this universal function of the warmth-ether, which
distinguishes it from the other modifications of ether, we may give it
as a second name that of 'chaoticizing ether'.
* *
*
(c) LIGHT
The function of the light-ether, the second of the four modes of ether,
can best be envisaged by thinking of the difference between a plant
growing in darkness (perhaps a potato sprouting in a cellar) and
another of the same species exposed to the influence of the light. On
Plates VII and VIII two kinds of unicellular organisms are shown, of
one which - the green algae - is accustomed to live in light, the other
- the bacilli - in darkness. These things are, of course, well-known
facts. Our purpose here, however, is not merely to record them as
'fact', but, by re-creating them within ourselves, to use them to gain
an experience of the function of the light-ether.
The following passages from Goethe's Metamorphosis of Plants are a
classical example of observation of the activity of the light-ether in
the plant. They are taken from the second part of the essay, where
Goethe is describing leaf-development:
'While the leaves owe their first nourishment principally to the more
or less modified watery parts, which they draw from the stem, they are
indebted for their increased perfection and refinement to the light and
air. The cotyledons which are formed beneath the closed seed-sheath are
charged, so to speak, with only a crude sap; they are scarcely and but
rudely organized and quite undeveloped. In the same way the leaves are
more rudely organized in plants which grow under water than in others
which are exposed to the open air. Indeed, even the same species of
plant develops smoother and less intricately formed leaves when growing
in low damp places, whereas, if transplanted to a higher region, it
will produce leaves which are rough, hairy and more delicately
finished.'
'So it is also with the anastomosis of the vessels which spring forth
from the larger veins, seeking each other with their ends and
coalescing, and thus providing the necessary basis for the leaf-skin or
cuticle. All this, if not entirely caused by subtle forms of air, is at
least very much furthered by them. If the leaves of many water-plants
are thread-like or assume the form of antlers, we are inclined to
attribute it to lack of complete anastomosis. The growth of the water
buttercup, Ranunculus aquatilis, shows this quite obviously, with its
aquatic leaves consisting of mere thread-like veins, while in the
leaves developed above water the anastomosis is complete and a
connected plane is formed. Occasionally, indeed, in this plant, the
transition may be still more definitely observed, in leaves which are
half anastomosed and half thread-like.'
The second of these paragraphs describes the phenomenon of vascular
anastomosis which, having already been more than once an object of our
study, here reveals a new meaning. If, following Goethe's method, we
re-create in our mind the repeated separations and reunions of the
sap-vessels, while keeping in view the fact that the leaf's outer form
is the result of a purposive, many times repeated anastomosis, then the
picture of the activity of weaving arises before our mind's eye. (Hence
the word 'tissue' for the flesh of a living being.) In truth all
nature's forms are woven of light, including the crystals.3
How clear a picture Goethe had of the conformity of man's act of
thinking with nature's way of producing her forms - both being an act
of supersensible weaving - is shown by the following two verses. That
on the left is a passage from Faust, from the scene in which Mephisto
(disguised as Faust) instructs the young Scholar. The other is an
altered version of it, written by Goethe at a later time to conclude an
essay (Bedenken und Ergebung) in which he deals with the problem of the
relation between Experience and Idea:
Truly, when men their thoughts conceive
'Tis as if some masterpiece they weave.
One thread, and a thousand strands take flight,
Swift to and fro the shuttles going,
All unseen the threads a-flowing,
One stroke, and a thousand close unite.1
So with a modest eye perceive
Her masterpiece Dame Nature weave.
One thread, and a thousand strands take flight,
Swift to and fro the shuttles going,
Each to the other the threads a-flowing,
One stroke, and a thousand close unite.4 -
What Goethe wants to show here by applying to the activity of nature
the same image which he used originally to depict the act of thinking,
we can express to-day by saying that it is the identity of the activity
of the light-ether in human thinking and in external nature which is
responsible for the fact that the objective ideas operating in nature
can become the content of man's consciousness in the form of thoughts.5
Following our previous procedure when we gave the warmth-ether a second
name by calling it chaoticizing ether, we can denote the light-ether
also as 'weaving ether'.
*
If at this point in our discussion we revert once more to the realm of
physical manifestations of light, dealt with in the preceding chapters,
we do so because by studying them in the present context we shall gain
further insight into the fact that one plane of nature provides
illustrations of processes which on another plane remain more or less
veiled. At the same time this will help us to learn more about the
properties of levity-space. The optical phenomenon which we shall
discuss in this sense is that of the so-called pin-hole camera. (The
pin-hole camera effect is easily produced by a keyhole in a closed door
which on one side faces a window and on the other leads to a
comparatively dark room.)
The usual explanation of the appearance of the optical image on the
back inside wall of such a camera is that light-rays, emanating from
every point outside, cross each other in the aperture of the camera and
so - again point by point - create the inverted image. No such
explanation, clearly, is open to us. For the world of external objects
is a whole, and so is its image appearing in the camera. Equally, the
light entering the camera is not a sum of single rays. Pure observation
leads to the following description of the optical process.
By surveying the path which the light takes from the illuminated
surface of the outer objects via the pin-hole to the optical image
inside the camera, we realize that the light-realm engaged in this
process has the shape of a double cone, with its apex in the opening of
the camera. Within this cone the light carries the image across the
space stretching in front of the light-reflecting objects up to the
point where the image becomes visible by being caught on the back wall
of the camera.
Thus in every section of the cone the image is present in its totality
- even in the very apex of the cone. There, too, the image in all its
details is present as a whole, though without (ideally) any spatial
extension. Seen thus, on this level of its action the light-ether
reveals as one of its characteristics the faculty of making present in
a spaceless point an image originally expanded in space, and of letting
it emerge from this point in spatial expansion.
Further, there is the fact that, wherever we set up a pin-hole camera,
the aperture in its front will cause the formation of an optical image
inside it. This shows that each point in space filled with light is the
bearer of an optical image, contracted to a point, of the entire world
of light-reflecting objects surrounding it. All we do with such a
camera is to select a particular image and bring it to separate
visibility.
Through these observations we grow aware of light's faculty of
communicating simultaneously to space as a whole, and to each point in
it, a potential image of the light-reflecting object.
What we observe here in the sphere of physical light-activity is
exactly what the light-ether performs on a higher level of nature when
with its help the spiritual archetype of a plant takes on spatial
appearance. For to this end the archetype, itself without spatial
limitations, imprints its image into the tiny seed, whence the growing
plant organism carries it again into space. And there is in principle
no limitation to the number of such seeds, each of which will bear the
complete image of the archetype.
* *
*
(d) SOUND
The characteristics of the third modification of ether are such that
they prompted Rudolf Steiner to give it as a second name, besides
chemical ether, that of sound-ether. In view of the fact, stressed at
the beginning of this chapter, that perception of the ether is achieved
by a heightening of the power of the spirit-eye, it must cause surprise
to learn that a certain mode of activity of the ether has a quality
which makes appeal to aural experiences. The full answer to this riddle
must await the discussion that follows this chapter. Two points,
however, may be brought forward at once. Firstly, where gravity, with
its tendency to individualize, is absent, no such sharp distinctions
exist between one form of perception and another as are found in the
sphere of the physical senses.6 Secondly, even in ordinary
sense-perception a certain overlapping of visual and aural experiences
is known to us. We need only think how common it is to give musical
attributes, such as 'consonant' and 'dissonant' to colours, and to
describe tones as 'light' and 'dark'. The reason is that subconsciously
we accompany visual experiences with tone-sensations, and vice versa.
Cases are even known of human beings in whom the secondary sensation
occurs with such intensity as to equal the primary one. Such people say
that they 'see' sounds and 'hear' colours.
*
Everything that is true of the supersensible sphere we may expect to
come to expression in some form in the world of sense-perception. The
sphere of the ether is the sphere of the creative archetypes of the
world, and when we learn that to one part of this world the character
of sound is attributed, we must search for a phenomenon, perceptible to
our senses, which reveals to us the secret of the sound's form-creating
power. This we have in the so-called sound-figures, discovered by the
German physicist Chladni (1756-1827) and called after him 'Chladni's
sound-figures'. A short description of how they are produced will not
be out of place.
A round or square plate of glass or brass, fixed at its centre so that
it can vibrate freely at its edges, is required. It is evenly and not
too thickly covered with fine sand or lycopodium powder and then caused
to vibrate acoustically by the repeated drawing of a violin-bow with
some pressure across the edge of the plate until a steady note becomes
audible. Through the vibrations thus caused within the plate, the
particles of sand or powder are set in movement and caused to collect
in certain stationary parts of the plate, thereby creating figures of
very regular and often surprising form. By stroking the plate at
different points on the edge, and at the same time damping the
vibrations by touching the edge at other points with the finger, notes
of different pitch can be produced, and for each of these notes a
characteristic figure will appear (Fig. 14).7
The significance for us of Chladni's experiment will emerge still more
clearly if we modify it in the following way. Instead of directly
setting the plate with the powder into vibration by stroking it with
the bow, we produce a corresponding movement on a second plate and let
it be transmitted to the other by resonance. For this purpose the two
plates must be acoustically tuned to each other and placed not too far
apart. Let us imagine, further, that the whole experiment was arranged
- as it well might be - in such a way that the second plate was hidden
from a spectator, who also lacked the faculty of hearing. This gives us
a picture of the situation in which we find ourselves whenever the
higher kinds of ether by way of a tone-activity inaudible to our
physical ear, cause shapeless matter to assume regularly ordered form.
*
This comparison of the activity of the sound-ether, as the
form-creating element in nature, with Chladni's phenomenon is drawn
correctly only if we recognize that the conception of form, as an
expression of that which is called forth through the etheric forces in
nature, comprises more than the external spatially bounded shape of an
organic or inorganic entity. Apart from the fact already indicated,
that for the formation of such entities the co-operation also of
life-ether is necessary, we can judge the activity of sound-ether
correctly only if we conceive it as a much more inward activity,
compared with the formation in external space of Chladni's figures. In
the latter case, the reason why the influence of sound causes nothing
beyond the ordering of form in outer space is because on this plane of
nature the only changes that can occur are changes in the positions of
separate physical bodies. Where the forces of sound in ether-form are
able to take hold of matter from within, they can produce changes of
form of a quite different kind. This effect of the activity of
sound-ether has given it its other name: chemical ether.
We have mentioned once before that our conception of 'form' in
organically active nature must not be limited merely to that of a
body's spatial outline. This was in connexion with Ruskin's definition
of the spiritual principle active in plant-formation as 'the power that
catches out of chaos charcoal, water, lime and what not, and fastens
them down into a given form'. Besides the external order of matter
revealed in space-form, there exists also an inner qualitative order
expressed in a body's chemical composition. Upon this inner chemical
order is based all that we encounter as colour, smell, taste, etc., of
a substance, as well as its nourishing, healing or harmful properties.
Accordingly, all these parts of an organism, both in the plant-kingdom
and within the higher organisms, have a certain inner material order,
apart from their characteristic space-structure. The one is never
present without the other, and in some way they are causally connected.
In this inner order of substance we must see in the very first place
the work of the sound or chemical ether. And we should be aware that by
the word 'chemistry' in this connexion we mean something much more
far-reaching than those chemical reactions which we can bring about by
the reciprocal affinity of physical substances, however complicated
these reactions may be. A few examples will illustrate the difference
between chemical processes caused by direct influence of the chemical
ether, and others in which only the physical consequences of the ether
are effective.
In his book, Man the Unknown, Professor Carrel shows very impressively,
by an example from the human organism, the difference of quantitative
ratio in externally similar processes, one of which occurs within the
domain of life, the other, outside it. He compares the quantity of
liquid necessary to keep artificially alive a piece of living tissue
which has been reduced to pulp, with the quantity of blood doing the
same within the living organism. If all the tissues of a human body
were treated in this way, it would take 45,000 gallons of circulating
fluid to keep them from being poisoned in a few days by their own waste
products. Within the living organism the blood achieves the same task
with 1J gallons.
Very many chemical changes within living organisms are effected by the
two polar processes of oxidation and reduction. We have discussed them
repeatedly as hieroglyphs of much that occurs in nature by way of
polarity. In accordance with the principle ruling the physical plane of
nature, that differences of level tend to disappear, oxidation can
occur by itself, whereas reduction requires the expenditure of energy.
Let us from this point of view compare the transformation of oxidized
into reduced iron, as it takes place inside and outside the realm of
life.
An example of this process in its purely physical form is the reduction
of iron-ore to metallic iron in blast-furnaces, where, with the help of
high temperature and high pressure, carbon is made to combine with the
oxygen ingredient of the ore and to impart to it its own imponderable
energy. Precisely the same process is going on continuously and
unobtrusively within the human body under normal bodily conditions of
temperature and pressure, when the oxy-haemoglobin of the arterial
blood changes over into the haemoglobin of the venous blood. A
macrotelluric counterpart of this is the transformation of the red
river-mud into the blue-black continental mud at the bottom of the sea,
around the continental shores. Here, again, reduction takes place
without those preliminaries that are necessary for carrying through the
process by technical means.
Through examples of this kind we gain insight into the nature of the
chemical ether as a 'magic' force (in the sense in which we have
introduced this term at the beginning of the book). What the chemical
ether is capable of effecting in a gentle manner, so to speak, in
cooperation with the inertness-overcoming power of the warmth-ether,
can be imitated physically only by an extraordinary concentration of
external energy and the use of masses of material substance. At the
same time the imitation is never complete. For to all that happens
through the action of the chemical ether there belongs the quality of
cosmic youth, while everything brought about in a purely physical
manner is of necessity cosmically old.8
Of all the provinces of nature towards which man's exploring eye has
turned since the dawn of the onlooker-consciousness, none has furthered
his purely quantitative thinking more than chemistry, ever since the
discovery that the chemical reactions of the various substances are
conditioned by a quite definite and constant numerical relationship. It
was these relationships which impelled the rise of the atomic
conception of matter and all its consequences. For since the
onlooker-consciousness is quite unable to conceive the existence of
numerical relationships in the physical world except as sums of
computable units in space, it was natural for this type of
consciousness to reduce all empirically established numerical
relationships to correspending relationships among quantities of the
smallest possible material or matter-like units.
Scientific thinking, if guided by knowledge of the existence of etheric
forces and their action, has no need of such an interpretation of the
numerical relationships revealed in the physical world; for it knows
them to be nothing but the last expression of the action of the
chemical ether (hence occasionally also called 'number-ether' by Rudolf
Steiner). To do justice to the appearance of measurable numerical
relationships in nature, in whatever sphere, it is necessary to free
ourselves from the abstract conception of number which governs modern
scientific thought and to replace it by a more concrete one. We shall
rind that for the existence of a certain number there may be two quite
different reasons, although the method of establishing the number
itself is the same in each case. A simple example will illustrate this.
Let us look at a number of similar objects, say a group of five apples.
We observe that the relation of the number five to the group of objects
in front of us is purely external and accidental. In applying to it the
conception 'five' we combine the single objects into a group and give
it a name, or numerical label, which has nothing to do with the nature
of the items making up the group. This way of thinking, we may observe,
is of exactly the kind which the nominalists of the Middle Ages
attributed to every conception formed by the human mind. In fact, the
process of counting is a process of pure abstraction. The more
differentiated are the things which we want to combine into a group
through the process of counting, the further this abstraction has to
go. We can count apples and pears together under the collective
conception of 'fruit'; if turnips are added, we must help ourselves out
with the conception 'vegetable products'; until finally we deal only
with 'things', without considering any qualitative differentiation.
Thus the conception of number is created solely within the human mind,
which applies it to things from outside.
From the moment when human consciousness was unable to attribute to
itself any other than a purely nominalistic mode of comprehension it
was inevitable that all explanations of natural phenomena would have
two results: (1) the exclusion from observation of everything that
could not be conceived in terms of numbers, and (2) an endeavour to
find for every numerical relationship capable of empirical proof an
explanation which could be interpreted as the result of taking
qualitatively identical units and counting them. For this method of
forming conceptions is the only one which nominalism can accept with a
good conscience. The fact that in so doing it is led ad absurdum has
only quite lately occurred to it. For if by the logical following of
this path - as in modern theoretical physics - the whole universe is
dissolved into units which can no longer be distinguished from each
other, then it will become impossible to count these parts, for it
cannot be established whether any given one of these hypothetical
elemental particles has been counted or not. None the less, Eddington
claimed to have found the exact number of particles composing the
universe - a number with 80 figures - by using a special calculus, but
this number is valid only on the supposition that the particles cannot
be counted because they are indistinguishable!9
However correct the nominalistic conception of number may be in such a
case as that of numbering the five apples, it is wholly incorrect to
restrict the concept of number itself to one valid for this kind of
occurrence. We shall see this immediately if we take one of the apples
and cut it across. There we find the number five confronting us in the
well-known star-like figure, represented by the fivefold pericarp in
the centre of the apple. What man, restricted as he was to the mode of
understanding, has completely overlooked is this: although the act of
counting, by which we establish the number five, is the same in both
cases, the quality of the number five is totally different. For in the
case of the five pericarps this number is a quality immanent in the
apple, which it shares with the whole species of Rosaceae. The apple
itself is just as much 'five' as it is 'round', 'sweet', etc. In the
supersensible type which creates in the plant its own organ of
manifestation, the creation of a number - in the apple the number five
- is part of the form-creating activities characteristic of the type.
The numerical relationships which appear between natural phenomena
depend upon the way in which the chemical ether participates. This is
true equally of those discovered by chemistry in the sphere of
inorganic matter and used to-day with such great success.
Let us be quite clear that the relationship of unity to plurality in
the case of the five apples is totally different from what it is in the
fivefold pericarp. In the first case unity is the smallest quantity
represented by each of the five apples. There, the step from one to two
is made by joining together two units from outside. The path from one
to many is by way of continuous addition. In the second case the unity
is represented by the pericarp - i.e. by the one comprising the many,
the latter appearing as parts of the whole. In such a case two is part
of one and so are three, four, five, etc. Plurality arises from a
continuous process of division of unity.
The ancient world knew the idea of number only in the last-mentioned
form. There unity appeared as an all-embracing magnitude, revealed
through the Universe. The world's manifoldness was felt to be not a
juxtaposition of single things, externally connected, but the content
of this unity, and therefore derived from it. This was expressed by the
pre-Socratic Greek philosophers in the formula Îν και Ïαν (the One and the All).
With the appearance of the Arabs on the scene of history, human thought
turned to the additive concept of number, and the original distributive
concept receded gradually into oblivion. The acceptance of the new
concept made it possible for the first time to conceive the zero. It is
clear that by a continuous division of unity one is carried to a
constantly growing number of constantly diminishing parts, but without
ever reaching the nothing represented by the number zero. To-day we
should say that in this way we can reach zero only by an infinite
series of steps. Yet the idea of the infinite did not exist in this
form for ancient man. On the other hand, in the arabic conception of
number the steps necessary to reach zero are finite. For just as by the
external addition of unities we can step forward from one number to the
next, so we can also step back on the same path by repeated
subtractions of unities. Having thus reached One, nothing can stop us
from going beyond it by one more such step. The arabic numeral system,
therefore, is the only one to possess its own symbol for zero.
It has been correctly noted that the penetration into European thought
of this additive concept of number was responsible for developing the
idea of the machine; for it accustomed human beings to think calmly of
zero as a quantity existing side by side with the others. In ancient
man the idea of nothingness, the absolute void, created fear; he judged
nature's relation to the void accordingly, as the phrase 'natura
abhorret vacuum' indicates. His capacity to think fearlessly of this
vacuum and to handle it thus had to be developed in order to bring
about the Machine Age, and particularly the development of efficient
steam engines. Consider also the decisive part played by the vacuum in
Crookes's researches, through which the path to the sub-physical realm
of nature was laid open.
Yet nature makes use of number as a regulating factor in quite a
different way from its appearance in the purely electrical and
gravitational connexions of inorganic matter, namely where sound-ether
from the upper boundary of nature so regulates nature's dynamic that
the manifold sense-qualities appear in their time-and-space order. When
we interpret the arrangement of numbers found there on a nominalistic
basis, as is done when the axis- and angle-relationships of crystals
are reduced to a mere propinquity of the atoms distributed like a grid
in space, or when the difference in angle of the position of the
various colours in the spectrum is reduced to mere differences in
frequency of the electromagnetic oscillations in a hypothetical ether -
then we bar the way to the comprehension not only of number itself, as
a quality among qualities, but also of all other qualities in nature.
*
(e) LIFE
As already mentioned, the three kinds of ether, warmth, light and
sound, are not sufficient in themselves to bring into existence what in
its proper sense we call 'life' in nature, i.e. the formation of single
living organisms. This requires the action of a fourth kind of ether,
the life-ether, ranged above the other three. We can best comprehend
the life-ether's contribution to the total activity of the ether in
nature by considering the interaction of the four kinds of ether with
the four physical elements.
We have seen that the warmth-ether has the double function of being at
once the lowest ether and the highest physical element, thus acting as
a sphere of reflexion for the other kinds of ether and the elements
respectively. Each stage in the etheric has its reflexion in the
physical, as the above table shows. Thus to the physical air the
etheric light is related. (The affinity of light and air is best seen
in the plant and its leaf-formation.) To bring about real changes in
the material composition of the physical world requires the stronger
powers of the chemical ether. Therefore it is also the first ether of
which we had to speak as 'magical' ether. Its effects reach into the
watery element which is already bound up with gravity, but by its own
strength it cannot penetrate beyond that. The causation of material
changes in the liquid sphere would in fact be all that these three
kinds of ether could achieve together.
Only when the power of the life-ether is added to the three others can
etheric action reach as far as the sphere of solid matter. Thus the
life-ether is responsible for all solid formation in nature, both in
her organic and inorganic fields (the latter-crystal-formation-being
the effect of external ether-action).10 It is to the action of the
life-ether that nature owes the existence in her different realms of
multitudes of separate solid forms. To mention an instance from our
previous studies: in the same way as volcanic phenomena manifest the
warmth-ether's gravity-overcoming power on a macrotelluric scale, so
snow-formation illustrates the life-ether's matter-shaping might.
Through its power to bind flowing action into solid form, the
life-ether is related to the sound-ether in the same way as the
articulated word formed by human speaking is related to the mere
musical tone. The latter by itself is as it were fluid. In human speech
this fluidity is represented by the vowels. With a language consisting
only of vowels man would be able to express feelings, but not thoughts.
To let the word as carrier of thought arise out of sound, human speech
possesses the consonants, which represent the solid element in it.
The emergence of the sense-bearing word from the merely ringing sound
is an exact counterpart to what takes place in nature when the play of
organic liquids, regulated by the chemical ether, is caused by the
life-ether to solidify into outwardly perceptible form. By reading in
this way the special function of the life-ether among the other three,
we are led to the term ' Word-ether' as an appropriate second name for
it, corresponding to the term sound-ether for the chemical ether.
*
Thus Levity presents itself to us as being engaged in the fourfold
activity of Chaoticizing, Weaving, Sounding and, lastly, Speaking the
form-creative Cosmic Word into the realm of Gravity.
1 To avoid misunderstandings, it should be emphasized that spiritual
Imagination is not attained by any exercise involving directly the
sense of sight and its organ, the eye, but by purely mental exercises
designed to increase the 'seeing' faculty of the mind.
2 Indeed, it is a misunderstanding of the whole meaning of
Anthroposophy when its contents are quoted - as they sometimes are even
by adherents - in such a way as to suggest that by their help a better
'explanation' may be gained of matters for which there is otherwise no,
or at least no satisfactory, explanation. The question: 'How does
Anthroposophy explain this or that?' is quite wrongly put. We ought
rather to ask: 'How does Anthroposophy help us to read more clearly
this or that otherwise enigmatical chapter of the script of existence?'
3 See Space and the Light of Creation, by G. Adams, where this
'weaving' is shown with the help of projective geometry.
4 Translation by J. Darrell.
5 We may recall here also the passage from Ruskin's The Queen of the
Air, quoted earlier, p. 118).
6 That the ether, apart from being supersensibly seen, is also heard,
was empirically known to Goethe. See the opening words of the 'Prologue
in Heaven" (Faust, I) and the call of the Spirit of the Elements in the
first scene of the Second Part of the drama, which follow upon the
stage direction: 'The sun announces his approach with overwhelming
noise.'
7 By attending Chladni's lectures on his discovery in Paris the French
physicist Savart became acquainted with this phenomenon and devoted
himself to its study. Chladni and Savart together published a great
number of these figures.
8 Understanding the attributes of the chemical ether enables us to see
in their right perspective Rudolf Steiner's suggestions to farmers for
the preparation of the soil and for keeping healthy the crops growing
on it. Attempts have been made to dismiss these suggestions by calling
them 'mysticism' and 'mediaeval magic'. Both terms are titles of honour
if we understand by the one the form of insight into the supersensible
realm of nature acquired by the higher mode of reading, and by the
other a faculty of nature herself, whose magic wand is the chemical or
sound-ether.
9 See Eddington's humorous and at the same time serious treatment of
this problem in his Philosophy of Physical Science.
10 Of the difference between external and internal ether-action more
will be said in the concluding chapter.
CHAPTER XX
Pro Anima
Thy functions are ethereal,
As if within thee dwelt a glancing mind,
Organ of vision! And a Spirit aëreal
Informs the cell of Hearing, dark and blind.
W. WORDSWORTH
(a) THE WELL-SPRINGS OF NATURE'S DEEDS AND SUFFERINGS
As our observations have shown, gravity and levity not only exist side
by side as a primary polarity; the manifold interaction of their fields
gives rise to all sorts of secondary polarities. Obviously, this
interaction must be brought about by a further kind of force to which
gravity and levity are subordinate.
In what follows we shall try, so far as is possible within the scope of
this book, to throw light on the nature of this force. Since the direct
experience of the dynamic realm constituted by it is based on faculties
of the mind other than those needed for the Imaginative perception of
the etheric realm, we shall have to examine also the nature and origin
of these faculties. This will lead us again to the study of one of
man's higher senses, this time his sense of hearing, with the aim of
finding the spiritual function that is hidden in it. But our order of
procedure will have to differ from the one followed in the last
chapter, because it will be necessary first to make ourselves
acquainted with the nature of the new force and then to turn to an
examination of the sense-activity concerned.
*
Let our first object of observation be man himself in so far as he
illustrates a polarity of the second order.
When studying man's nature with the idea of understanding the genesis
of his onlooker-consciousness, it will be remembered, we had to examine
the ordering of his consciousness into waking, dreaming and sleeping in
the different members of his organism. We recognized three different
organic systems, the sensory-nerve system, the rhythmic system and the
metabolic-limb system, as the bodily foundation of three different soul
activities. These are the thought-forming activity which belongs to
waking consciousness; the feeling activity which belongs to dream
consciousness; and the willing activity which belongs to sleep
consciousness. We then saw in these three systems representatives of
the three alchemical functions - 'sulphurous' in the metabolic,
'saline' in the nervous, 'mercurial' in the mediating rhythmic system.
Regarded thus, man's nature reveals itself as being endowed with a
physical organization, and an etheric organization, which are brought
into different relationships by being acted upon by a third
organization consisting of forces of the kind here to be studied. At
his lower pole these forces co-ordinate the ether and physical
organizations in a manner corresponding to the function of the
'sulphur'-pole of the alchemical triad. Here, therefore, the
warmth-ether takes the lead and acts in such a way that the higher
kinds of ether are able to come to expression in material processes of
the body. At the upper pole corresponding forces co-ordinate the
physical and ether organizations in a way characteristic of the
'salt'-pole. This gives the lead to the life-ether, so that the
physical organism provides the foundation for the activity of the
ether-forces without, however, being actually penetrated by them (at
least after completion of the embryonic and first post-embryonic
development). As a result, consciousness lights up in this part of the
body. The rhythmic sphere, being the 'mercurial' middle, is
distinguished by an alternation of the two conditions described. With
each diastole it becomes more akin to the pole below, and with each
systole more akin to the pole above. Here, therefore, the lighting up
of consciousness is only partial.
By means of these observations we realize that the third type of force,
in so far as it is active in man, has the capacity, by co-ordinating
the physical and etheric parts of the organism in one way or another,
to promote happenings either of a more corporeal or a more psychical
nature - namely, motion at one pole, sensation at the other, and
feeling in the middle between them.1 Remembering Goethe's formula,
'colours are deeds and sufferings of light', we realize how deeply true
the concepts were to which he was led by his way of developing
observation and thought.