LECTURE IV
Inner Mobility of Thought
Yesterday I tried to speak of certain inner experiences which
can be called the ‘vowels’ of the spiritual world.
We
heard how occult reading and occult hearing are very living
inner experiences to which the whole personality, the whole
soul must be dedicated. I mentioned three such experiences for
which careful preparation has to be made. One of these arises
when we learn gradually to enter with consciousness that
supersensible world in which we always are, but unconsciously,
and thereby reach the Gate of Death. I also spoke of the
experience which comes when we acquire the so-called faculty of
transforming ourselves into other beings. And then I tried to
show how we can so regard evil in the world that we recognise
its origin in a misuse of higher spiritual forces which in
their place and in their own mode of working are entirely
justified.
Another such experience comes if we. take in earnest something
that is linked with the last. We must transform ourselves into
other beings but in such a way that the threads of inner
soul-experiences are held intact. If they cannot be held intact
it is just the same as when a man on the physical plane cannot
remember what happened yesterday or some years ago in his
physical life. Just as this continuity of experience has to be
maintained in normal physical life, so the connecting thread
must be maintained through the transformations in the spiritual
world. This means that when a human being has transformed
himself into a certain being or event he must not lose himself.
He must retain a kind of higher, purely spiritual memory of
other forms, processes and beings of the spiritual world. In
other words: man has to become a multiple being, to ‘split up’
as it were in the spiritual world, to be able to divide
himself. This inner experience produces a strange feeling: ‘You
are here, you are this being, but you are also another being.
You are within separate beings.’ Without this feeling of
multiplicity, we should never be able to attain a real picture,
for example, of the Beings of the higher Hierarchies. Along the
paths we described yesterday and along others too we can get a
picture of the Angeloi, the Hierarchy immediately above us. But
to reach a more spiritually adequate picture of the
Archangeloi, we must understand through inner feeling something
of the experience of being multiplied. For it is only gradually
that we learn to understand these Beings of the Hierarchies. We
only gradually learn to understand because in the physical
world all human conceptions, all human thoughts are bound up
with the ordinary conditions of space and time. But quite
different conditions of space and time exist when we ascend to
the Beings of the Hierarchy of Archangeloi.
Starting from the ordinary physical consciousness, we have a
certain basic feeling which is quite natural to this physical
consciousness. If, for instance, through seership, I want to
approach a human being who is living between death and a new
birth, then — I am not speaking of myself here but quite
generally, of one who has seership and is seeking for a dead
soul — I have this feeling: ‘The dead is there, together
with me!’ So far as the time element is concerned I can seek
him just as on the physical plane I can seek another human
being who is a contemporary ... it is only a matter of finding
the way to him. When we are seeking one who is dead, this idea
is also quite correct. In a certain sense it is still correct
when it is a question of finding a Being of the Hierarchy of
Angeloi. But it is no longer correct if we are seeking for a
Being of the Hierarchy of Archangeloi, because such a Being has
concentrated his consciousness at a time that is not our
present time.
Suppose this line represents the flow of time. If the seer
lives at this point, 1914, and is seeking a dead soul or a
Being of the rank of the Angeloi, he finds that Being somewhere
in the spiritual world at the same point of time. But this does
not succeed if we are trying, for instance, to find a certain
Being of the Hierarchy of the Archangeloi.
In
this case we have to transcend time, to overcome the principle
of synchronism (Gleichzeitigkeit). In order to find a certain
Archangelos we must go back, for example, to the fifteenth
century. Thus we do not remain in our own epoch. Supposing this
were the year 1914, we have to go back, say, to the year 146.5.
and seek there (EE) for the Archangelos. His influence, it is
true, rays over into our own epoch but here we have merely the
influence, we do not find the Archangelos in his own real
identity. Other Archangeloi must be sought for at different
points (see the upper circles in the diagram). We have to go
beyond time. It is a difficult conception, but we have to reach
it.
We
must realise that the name ‘Archangelos’ has meaning. We know
for the first time why they have this name when we find them in
the way described. They are ‘Angeloi of the Beginnings.’ They
are always to be found at the beginnings of epochs of time on
the stage of world-history. It is there that we find them in
their full consciousness, in their real self; this remains
through the following epochs in the influences streaming into
the flow of time. To find the Archangeloi we must not remain in
the present; we must go out of time and seek for the beginnings
of epochs. Thus, nobody whose soul is only able to live, let us
say, in October 1914, is in a position to find all the
Archangeloi — perhaps not even one. This is possible only
to one who can transfer his soul back into other epochs, in
such a way that he can actually experience those other epochs,
live in those other epochs.
But
then it is necessary not to forget how we got there —
just as in the physical world we must not forget what we did
yesterday. This is a law of the multiplicity, of the outpouring
into number.
And
as regards the Primal Beginnings, the Spirits of Personality,
the Archai, we find them only by going back to the middle of
the Lemurian epoch, when the Earth was at the beginning of its
physical evolution. There we find the Archai in their essential
nature. We cannot find the Archai if we remain in the
present.
Thus, you can see that the whole relation of the soul to time
must change before we can penetrate into the spiritual world
with knowledge.
What We experience in this way — or even if we envisage
these things and continue to feel them inwardly — imparts
a kind of mood to the soul, a feeling of being outpoured into
spiritual reality. This again is a ‘vowel’ in the spiritual
world.
You
can see how in the way described a man becomes more and more
independent of the standpoint of Space, of the standpoint of
Time, which are his in the physical world. He does not only go
out of himself, but also into something: into the living
weaving and working of the Cosmos, not only one-pointedly,
inasmuch as he experiences himself in the spheres of Space, but
many-sidedly, inasmuch as he experiences himself in Time as a
living being, having in himself the centres of consciousness of
the Beings of the higher Hierarchies. When, therefore, a man no
longer lives only in himself, no longer even in the Space and
Time known to him as a physical being, but when he has ‘taken
Space to his body’ and ‘Time to his soul’ — mark this
well, for its full meaning only dawns upon us gradually —
when he has taken Space to his body and Time to his soul, he
then experiences something that is not an abstract feeling in
spiritual generality, but a living weaving and working in a
cosmic existence full of meaning. Everywhere there is meaning;
it pours into his soul. Universal meaning, weaving and living
in the Universe forms itself out of individual meaning. The
meaning of things bursts forth like fruit out of many centres.
And the Spiritual bursting forth in the single individual
meanings weaves itself into a Cosmic Word that is full of
meaning. Man lives and weaves within the Cosmic Word. This
experience again is another vowel of the spiritual world
— the original, primal vowel of the spiritual world. This
experiencing of the Cosmic Word which must be pictured in its
living wealth and not merely as a spiritual hearing, is
Inspiration in the higher sense. With this Inspiration we can
say: ‘What I know in this Cosmic Word, the Cosmic Word knows in
me. It is not I who know, but the Cosmos knows in me. I fall
short in knowledge of the Cosmic Word only because I am an
imperfect instrument which can only let the Cosmic Word sound
into me in broken streams. But it is the Cosmic Word itself
which sounds in me.’
Humility increases the more we succeed in surrendering
ourselves selflessly, without any pretentiousness in regard to
our own achievement, our thinking, feeling and willing. The
more we succeed in letting the Cosmic Word hold sway in the
weaving of our own being, the more objectively do we reproduce,
through the Cosmic Word, the mysteries pervading the
universe.
Thus, again we have spoken of a cosmic vowel. As I can tell you
only the essential principles, I wanted to give you an idea
— although quite a primitive one — of what may be
called the ‘vowels’ of cosmic Being.
When a man is inwardly schooled in such feelings as I have
described them in these five cosmic vowels, when he can
experience what can be experienced in the life of soul as an
echo of these feelings, then the soul can listen to what is
going on in the spiritual world and is there in the spiritual
world. And then the spiritual world can speak to the soul.
What is it that happens when real communion with the spiritual
world is cultivated in the way described? Ego and astral body
— but the Ego has reached a higher stage because it has
become selfless and has been submerged in the astral body
— Ego and astral body are outside the physical and
etheric bodies. With his Ego and astral body man is outside the
physical and etheric bodies when, during life between birth and
death, he is engaged in acts of spiritual perception; but he
looks back to the etheric body and it is the etheric body that
reflects these ‘vowels.’
The
etheric body has the power of a seven-fold reflection. I have
spoken of five of these reflections. There are still two other
experiences of which we could speak if it were possible to go
into greater detail. But the characteristic weaving and working
of the etheric body, what it reflects in its life-processes,
may be described as these ‘vowels.’ In other words: something
happens in the etheric body when a man has developed the
feelings connected with the experience of standing at the Gate
of Death, or is able to face Evil with understanding, or when
he lives in the Cosmic Word. According to the particular mood
with which he confronts the spiritual world, something is
reflected in the etheric body which he is then able to
perceive. It is very difficult to describe these things. Cosmic
Being reflects itself in a sevenfold way in the etheric body.
Let me make a diagram. — If
this represents man's etheric body (quite diagrammatically)
— then, if a man confronts the spiritual world with the
feeling that arises from the preparation for standing at the
Gate of Death, his etheric body is as it were compressed up to
here, at a, and acquires a certain radiance and resonance. And
out of this radiance and resonance proceeds something that may
be called one of the vowels of the spiritual world.
If
a different mood is developed, the etheric body concentrates in
another region — let us say, in the region of the heart
(b). A different radiance and resonance are perceived, as
emanating from the being into whom the Ego and astral body have
been transposed.
What I have said up to now has referred to the ‘vowels’ of the
spiritual world. But there are also ‘consonants’ of the
spiritual world, twelve consonants. We get at these consonants
most easily by taking the physical body in the same way as we
have taken the etheric body with its ‘vowels.’ The physical
body is then revealed in its twelve-foldness.
There is not sufficient time even to hint how we can experience
the twelve-foldness of the physical body as we have experienced
the seven-foldness of the etheric body. But this I must say: To
a man who is conscious outside his physical and etheric bodies,
they become something quite different from what they are when
he is living in them. The etheric body, then, is what contains
the life-process which makes us living beings. The physical
body is that which builds up the organism of our senses. We are
within and we use our physical and etheric bodies to make us
the beings we are on the physical plane. But when, in the sense
indicated, we are outside the physical and etheric bodies, they
appear to us as signs. True, the etheric body is still composed
of life; but its task, that of being the life-principle of our
physical organism, does not now reveal itself. The etheric body
reveals itself as the signs of the seven vowels. It becomes
objective, something at which we look and which in its
variability and mobility becomes the ‘vowels’ of the Cosmic
All. We become as foreign to our etheric body as to the vowels
of physical script. And we become as foreign to the physical
body — which is now revealed as a totality of twelve
consonants brought together- as we are to the consonants of
ordinary script. And just as consonants and vowels
interpenetrate in the words of ordinary script, enabling us to
read or hear, so in the spiritual world do we hear or read the
etheric body which reveals itself in a sevenfold aspect by
being joined with two or with three consonants of the physical
body. On the physical plane, when we meet a human being we can
understand him because he speaks to us, perhaps also by gesture
or facial expression — but we must have eyes to see and
ears to let the word enter our soul. Just as everything that
constitutes a relationship to other human beings is transmitted
by way of the senses, a similar thing happens in the spiritual
world.
We
prepare ourselves, let us say, to find a human soul who is
living between death and a new birth. We know through inner
experience that we are now united with that soul, that we are
having experiences with it at the same time and in the same
place in the spiritual world. Just as in the physical world we
have sense-organs in order to come, to terms with other human
beings, so in the spiritual world we have to look back to the
etheric body and the physical body. And in their interplay,
they reflect how the single processes of the etheric body are
joined with those of the physical body — vowel processes
with consonant processes. This interplay expresses the speech
that is going on with the soul of the dead and is therefore
necessary for understanding that soul.
Try
to picture the following. — In the spiritual world you
are united with the soul of one who is dead and is living
between death and a new birth. You look back on your physical
form which you can observe because you lived or are living in
it on the physical plane; you also look back on the etheric
form, and this reflects back all that you speak with the dead,
what he has to communicate to you, what he is thinking, feeling
and willing. The etheric and physical bodies have become one
collective sense-organ. And we can say: In our physical life we
have received the physical and etheric bodies so that we may
have sense-organs for the spiritual world. A new light is now
thrown on the truth that life in the physical world is not
merely life in a vale of sorrow of which we must long to get
rid, as false asceticism teaches. We realise that life in the
physical world has its sublime, divine mission. Within the
physical world we acquire what becomes sense-organs for the
spiritual world.
You
will understand this still more precisely if I tell you about
the perception of spiritual beings and happenings when we
ourselves are living between death and a new birth, that is to
say, when we are not seeing the spiritual world clairvoyantly
from the physical plane but are united in the spiritual world
with spiritual beings. As long as we bear a physical and an
etheric body as a garment, so long have we instruments for
reflecting; these bodies serve us as sense-organs. When we lay
aside these bodies at death, we naturally no longer have them
as external realities. You may easily ask: Does this mean that
in the spiritual world between death and a new birth, we cannot
become aware of what we experience in connection with the other
beings and processes of the spiritual world? But then
everything is different, we become aware of it differently I
Even the seer in the physical world must have what he
experiences in the spiritual world reflected by the physical
and etheric bodies. This is correct as long as he is living in
the physical world, as long as the physical body has not passed
away through decay m• to the physical world and the
etheric body through dissolution into the spiritual world. When
we are in the spiritual world and no longer have physical and
etheric bodies, then we are able, out of what is the substance
of the spiritual world, to form the world of signs out of which
the physical body was put together, and also the world of signs
out of which the etheric body was given shape.
Suppose, as a soul between death and a new birth, you are to
live together with another human being. You are aware of this
common life. What the other soul says to you or you say to him
expresses itself spiritually in such a way that you inscribe
into the spiritual world what, in other circumstances, would
have been reflected. But now with your own power you inscribe
the picture into the spiritual world. What you otherwise
express in the signs of the physical and etheric bodies, in
vowels or consonants, you now inscribe, you actually inscribe
with your own power into the spiritual world, into the Akashic
Record, what you are saying to the other soul —
obliterating it again, figuratively speaking, when it is no
longer needed.
These communications and experiences are to be read and heard
in the spiritual world as the result of mutual activity on the
part of the souls.
I
gave the first indications of these things at the beginning of
the chapter in my book
Theosophy,
where the so-called
‘Spirit-Land’ is described. It is there said that at a certain
stage of development in Devachan, in the ‘Spirit-Land,’ the
human being sees his previous incarnation in the ‘Continental
Region’ of the Spirit-Land. It is an inscription of a spiritual
record.
The
ideal would be if study of a book like Theosophy were so
zealous that many a reader, from the indications given there,
would arrive at these things for himself. There is a very great
deal in these books and merely through one's own reading
— if the contents are read with the heart and experienced
with deep inwardness — everything can be gleaned from
them. But books on Spiritual Science are, as a rule, not read
with the attention that they really require. If they had been
so read, after Theosophy and
Knowledge of the Higher Worlds
and perhaps also
Occult Science — an Outline,
had been written, the lecture-courses could have been written or given
by someone else than me. Everything, really, is contained in
these books, only people do not generally believe it. And how
much could be written if everything contained in the Mystery
Plays were really to be assimilated 1 I am not saying this for
advertisement's sake — I have already said enough about
the humility of the occultist and the spiritual investigator
— but I say it in order to stimulate genuine reading of
the writings which had to be given out precisely in our epoch,
and for which one really has, personally, so little merit.
So
you see that the human being, as he lives on the physical
plane, develops something in regard to the spiritual worlds
which can be a seed for experiences in these higher worlds. The
etheric body of man as it is in the physical world is not only
his life-principle, but it is at the same time an instrument of
preparation for unfolding understanding of the vowels of the
spiritual world. And the physical body also is an instrument of
preparation for experiencing the consonants of the spiritual
world.
Much can be done if we try in all earnestness to get rid of the
purely materialistic conception of the human physical body.
Much can be done in the way of preparation in order that these
feelings for the vowels and consonants of the Cosmos, these
inner experiences and impulses in the soul may awaken. For this
preparation we must call up an experience which, as regards
development into the higher worlds, is somewhat similar to what
a child must do in order to be able to read in the physical
world — what it must do in order to learn the words of
our physical language.
With the materialistic conception of the physical body, this
body is taken just as it presents itself in the physical sense.
It is as though somebody were to write down the signs: I N K.
... and then someone comes and says that he will investigate
it. This is how we approach the physical body. It is looked at
as though it were a scroll with flourishes going up here and
down there ... and then it is described. Heart, lung, and so
on, are described just as they present themselves
externally.
This really is the way it is done. But the only people who get
anything out of it are those who have learnt to read the word
‘ink’ out of the signs.
Thus, must we ascend from the physical plane into the higher
spiritual worlds with the experiences of which we have spoken
to-day. What we learn to read and hear in this way is an
individual experience of the soul. But we can prepare if in the
physical world we try to comprehend the physical body in its
sign-nature. What is meant by this?
I
will give you a brief example of understanding this
sign-nature. I can do it only very briefly and must leave it to
your own earnest meditation to see what is meant. For in many
cases speech is not really adequate for understanding these
things. It will become adequate only when Spiritual Science has
worked for a while in the world and has given the words a stamp
which really links them with spiritual activity and spiritual
reality. Speech must become more pliant, and this will only be
possible when contact with Spiritual Science has been
cultivated for some hundreds of years and people have become
accustomed to taking words differently from what is the case
to-day when they are applied only to things and happenings of
the physical plane. Now for the examples.
We
find what transpires in the human head to-day enclosed in the
bony formation of the skull. There it all is. With a few
exceptions it is all physically shut up, as it were, inside.
When we begin really to think about the human head, and not
merely describe it in its material appearance, we find a
tremendous significance in the fact that inside it complicated
processes are going on which are shut in practically on all
sides by a bony sheath. One part of the physical human being is
separated off, surrounded on all sides by the hardest
substance, namely that of the bones. It is, however, only a
part of the human organism. The human being is by no means a
simple entity! The primitiveness of the ideas prevailing at the
present time are revealed by the criticisms of my books which
grumble at someone who speaks of a Sentient Soul, a Mind-Soul
and a Consciousness — or Spiritual Soul, whereas it was a
splendid achievement — so it is said — to have been
able to conceive of the soul as a unit. It is understandable
that our materialistic culture should prefer the hotchpotch
that goes by the name of Psychology to-day, to the real
membering of the soul. These members of the soul are a reality;
they belong to different worlds and are not designated without
reason. It is comprehensible that modern culture should
consider this foolish, but thereby it simply characterises
itself, not what it condemns.
The
physical organism of man is highly complicated and study of it
may give rise to the following thoughts which may, certainly,
seem foolish to those who call themselves scientists to-day.
Yes … but St. Paul said that much that is wisdom in the
eyes of God is foolishness in the eyes of men. And so perhaps
it will be profitable to think of this ‘foolishness in the eyes
of men’ which may be ‘wisdom in the eyes of God.’
Let
us think about the following. — What about our hands? Our
hands are quite definitely connected with our soul. If anyone
has a living feeling for what goes on in his hands, it is not
without significance if what he says to another human being
expresses itself in the gestures of his hands. This means
something in itself! I will pass over many of the intermediate
steps, leaving this to your own meditation. Just suppose that
as the result, not of a process emanating from the human body,
but of a process rooted in the Cosmos, our hands were not
formed in such a way that we could move them freely or make
them follow our will. Suppose our hands were fettered to our
body, were obliged to remain quite rigid, having been affixed
to the body, as it were from outside, by external Nature. How
would things be then? We should have hands but be unable to
move them. But if we had hands and could not use them, we
should still have the urge to do so! Although we could not move
them physically, we should always be wanting to move the
etheric hands! The physical hands would lie still, the etheric
hands would move. This, in reality, is what we do with our
brain. Certain lobes of the brain which now lie enclosed in the
skull were freely mobile during the Old Moon evolution. To-day
they are rigid and can no longer move physically. But they do
move etherically, when we think. We move the etheric brain when
we think. If we had not this firm skull enclosing the lobes of
the brain, we should stretch out with these lobes and make
gestures with them — gestures such as we now make with
the hands — but we should not think. The lobes of the
brain had first to be made physically rigid and it had to be
possible for the etheric brain to tear itself free.
What I am now saying is not fantasy. The time will come when
our hands and much else too will become rigid. This will be in
the Jupiter epoch. That which to-day appears so free —
attached as it were to the heart-region — will then be
enclosed by a sheath, just as the brain to-day is enclosed by a
skull. That which is most visibly expressed in the hands is
something that is preparing to become an organ of thought. For
the time being we have only rudimentary organs which at present
are small structures because they have not fully developed.
Suppose that to-day we had only certain portions of the skull
here in front ... behind there are the shoulder-blades. They
lie in the plane which later on will enclose the brain of the
future. You have a true conception of the shoulder-blades in
the human body when you regard them as small pieces of bone
which really belong to a skull that will form — only the
other parts have not yet developed. Therewith you have, as it
were, added a second man to the first. Moreover — and
here I shall say something very strange — there are other
organs in the body which are also pieces of another skull which
will develop in a still more distant future. These organs are
now quite tiny compared with the organism as a whole: they are
the knee-caps. The knee-caps are now these tiny surfaces
— mere indications which later on will turn into a
different spiritual organ. We characterise the human organism
aright if we say (though this is only one isolated example):
The human being has, in reality, three skulls. One is fairly
well developed, shut off on all sides. The second has only
pieces, in the shoulder-blades, the third only in the
knee-caps. But the two latter — shoulder-blades and
knee-caps — can, in thought, be expanded and rounded off
into spherical forms. Thus, we get three brains. What we are as
inner men is only slightly developed externally in the second
brain. To-day it manifests externally; later on it will become
an inner brain. When you make gestures with your hands to-day
you are preparing for what will be thoughts later on —
thoughts which will be quite as capable of grasping processes
of the elemental world as your head now grasps the processes of
the physical world. And strange though it sounds: everything
lying outside and beyond the knee-caps, that is to say, the
lower legs, the feet — these are still quite imperfect
organs connected with the gravity of the Earth. These organs,
in conjunction with what they receive spiritually from the
Earth to-day, are preparing to become not only physical but
spiritual organs, which will lead into the spiritual worlds
when the Earth is replaced by the later Venus evolution. The
present physical form must fall away and something else take
its place.
So
you see, much, very much is contained in the occult study of
the world. The most important is not that we know: This or that
book exists and contains this and that concerning the higher
worlds. That is not the most important. What the books contain
must, naturally, be assimilated because that is the only way of
finding what is right and true. But the necessary thing is a
certain ‘temper’ of the soul, whereby a man relates himself in
a new way to the world, whereby he learns to have a different
view of the things of the world. The important thing is that by
this reading we prepare for the inner mobility and movement of
the life of thought, for the weaving of thought, for the
experience of thought-in-itself; that we also prepare to see
the physical world in a different way. For even in their outer
form things are not as they seem. Strange as it sounds, the
shoulder-blade is not what you see physically. That it has such
definite limits is Maya, is false. The shoulder-blade expands,
when we really set about comprehending it, into an organ with
much greater detail. And when we see a man kneeling, we should
gradually get the impression: That is a false picture! The
knee-caps there, those tiny parts, are illusory; this kneeling
man is surrounded by a great spherical surface and he lives
within that orb. The surface becomes a sphere and when a man
prays he is preparing himself in the brain to live in the
sphere in which he will live when the sphere of which the
knee-caps are only tiny parts, encloses him.
Thus, we gradually learn to read in the physical world. We do
not merely look at a man kneeling or making some gesture, but
we begin to realise that although what presents itself
immediately, is reality, none the less it is false and untrue.
In the ‘letters’ we learn what the Cosmos is, not only in the
present but what it expresses in its ‘Becoming.’ A man in
prayer becomes, in his form, what the Venus man will sometime
be. Thus, do we learn, step by step, to decipher, interpret,
read in the true sense, and grasp the world as it really is.
The physical world is no more than a written page before us. If
we only stare at it, we can observe it without being able to
read it at all. Neither do we know anything of the world if we
look at it merely with the faculty of physical perception, for
then we do not decipher, we do not really penetrate into the
world. We must read the world, learn its meaning.
If
we become more and more conscious that the world is a book
which the Hierarchies have written for us, in order that we may
read in it, then only do we become Man in the full sense of the
word. The building on which we are working is intended in its
form to draw out those feelings and intimate moods of soul
which make us capable of reading the world and of hearing the
secrets of the Universe. The building is as it is in order that
it may draw out what is within us — a certain part, at
least.
It
is good, my dear friends, to take a picture in our meditations
of the task which Spiritual Science has in the world over
against what is in the world to-day; it is good to picture what
must develop out of Spiritual Science and how Spiritual Science
must find its way into the further development of history.
If
only there could be in the Anthroposophical Society a body of
human beings filled with the living consciousness that
Spiritual Science has to be worked and woven into the evolution
of humanity!
It
was not merely in order to impart truths to you, but to
stimulate such feelings in your souls, my dear friends, that I
have given these lectures.
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