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  • Title: Astronomy Course: Lecture I
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    • Knowledge. The older forms of scientific classification,
    • been formed, almost, I might say, so that the various
    • conformable to reality.
    • We only live in the ideas which have been formed since the
    • formed ideas; man had first to struggle through to such
    • people, was due to the particular form which the
    • phenomena in the picture formed by the mathematical,
    • form the world-concept takes. But it is not a question
    • Fundamentally, it is on this basis that the particular form
    • on one another, moving around each other, — forming, as
    • the astronomic form of knowledge into every phenomenon of the
    • rational form of therapy, that is to say, to understand the
    • know of course that the question of the form of
    • through a transformation which it is possible to picture
    • form an idea of what it really means when I turn a glove
    • by which what was formerly outside is turned inward, and what
    • the inversion quite a new form arises. The form may appear
    • perhaps, purely through the inversion, this form arises
    • Such a form might
    • a form which, when inverted, becomes our skull bones! In the
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  • Title: Astronomy Course: Lecture II
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    • form certain preliminary ideas. We must first build up
    • the Sun. The Sun formed the central point, as it were, for
    • performs approximately 365 such rotations in the year, there
    • way. We will not disdain to form a basis today with seemingly
    • and the Tropical. The Polar and the tropical form a
    • observe man and have in mind the human form, we can say the
    • form seriously.) The head, the part of the human form which
    • the whole formation of man — with the relations of the
    • human form in the various regions of the Earth, shows us a
    • forms the insect assumes. We can now say to ourselves: Maybe
    • side also! Will they perhaps only show it in its true form
    • such a way as to reach man. Then we should have to form a
    • human form — the threefold being of man. Thus do the
    • formed from the entire Universe.
  • Title: Astronomy Course: Lecture III
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    • information or revelation from the Universe which the Earth
    • life of the Earth shoots outward into form. The leaves unfold
    • no longer shoots into outward form; it concentrates, if I may
    • influence the vegetative life shoots outward into form; under
    • year. Something which works formatively and creatively upon
    • respect to the whole man (the former belonging, in
    • planets. This Law assumes a more complicated form. “The
    • Now write it in a somewhat different form. Write it
    • — but take what is living still in Kepler's form,
    • inasmuch as you move in the line which is formed by the
  • Title: Astronomy Course: Lecture IV
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    • consider the whole way in which ideas have been formed in
    • however, distinguish two things in the formation of these
    • this way, — pursuing the modern method of forming
    • concepts in this particular field, — we must first form
    • so far in these concepts that even if the picture in the form
    • very significant mental pictures, to be formed from the facts
    • of observation. And yet, in the very forming of them we must
    • which were formed, as described, in the course of scientific
    • a concept formed, not from the whole but only from a part of
    • formed from the study of our planetary system as a whole,
    • already no little danger in forming such a concept as that
    • forming such a concept, to turn back to reality in order to
    • directly they have formed a concept, to go back to reality in
    • I should have to make it of india-rubber, or form it flexibly
    • had formed the ellipse which is there in one
    • said to form Nodes. The lines, joining the two Nodes
    • evident. Starting from this, one might again try to form the
    • circles. I went to a performance in which he read his own
    • direction, but nothing is given by which you might form an
    • definite way, in a form which can be grasped at least
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  • Title: Astronomy Course: Lecture V
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    • are expressed by our Astronomy in geometrical forms and
    • mathematical formulae. We do not contain the whole
    • certain point onward can be grasped in picture-form, or even
    • what we observe in terms of diagrams, formulas and
    • today cannot yet recognize the form and construction of a
    • same time there is an alteration of the form, an alteration
    • inside outward. Only if we follow the metamorphosis of forms
    • three forms of processes all that is functional in man is
    • forming of ideas and mental pictures. It is unnecessary here
    • while the forming of ideas and mental pictures takes us more
    • forming of ideas. (Please do not take offense at the
    • mechanical forms of thought in which we feel most secure.
    • namely in our forming of ideas.
    • all that happens in the forming of the embryo, — must
    • one time towards picture-forming and at another time towards
    • our present studies — intended, as they are, to form a
    • to penetrate into reality and find the means of forming an
    • even as he did in an older form in the Yoga system, — a
    • form no longer possible today.
    • be no use if I were simply to add another formal picture of the
  • Title: Astronomy Course: Lecture VI
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    • thought-forms, in the celestial spaces on the one hand, and
    • the most highly sublimated forms — we are led back, to
    • deduction — the form in which the Middle Ages used to
    • to whether the concepts and ideas, which man forms and puts
    • are merely formal summarizations of the external sensory
    • creates for himself as a mere formal summary, having no
    • enjoying certain forms of cultural and spiritual life will at
    • spatial form — you find it again in
    • before — in former cycles. It is a rhythm; our
    • man in a concentrated and contracted form — and the
  • Title: Astronomy Course: Lecture VII
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    • terms, or at least into rigid forms. For when we study things
    • from a formal aspect we tend to pass quite involuntarily into
    • rigid forms, even if we went to keep them mobile. But the
    • rigid, formal concepts. We cannot build an astronomical
    • his environment, stop forming concepts in this direction. He
    • cannot but do so. There is no sense whatever in formulating
    • form concepts remote from reality, going off at a tangent, —
    • reality of this domain we must being by forming these two
    • of the sense-perception transformed and assimilated into a
    • and are thereby active in our inner life, forming mental
    • pictures and ideas. In all this forming of mental pictures we
    • forming of mental pictures — is a more inward process than
    • other hand — our forming of mental pictures — is very
    • forming of mental pictures — has undergone a change
    • pictures. While forming mental pictures we do not really
    • forming of mental pictures — is more closely bound to
    • daily influences, as I showed, are those which tend to form
    • can we form true ideas of the relations — including
    • life of sense-perception in its present form. (The life of
    • here referring to the form it takes in present time.)
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  • Title: Astronomy Course: Lecture VIII
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    • continuing the rather more formal lines of thought with which
    • power of ideation — the forming of mental pictures. The
    • being formed in a more inward region of our bodily organic
    • like our dream-life. Our forming of mental pictures would be
    • forming of mental images — was especially developed,
    • inner life — in our ideation, our forming of mental
    • image-forming power with his sense-perceptions. Another tends
    • itself from the yearly course of the Sun, in that it forms
    • obliged to form a far more concrete idea of the Ether, of
    • terms. I said that in the formulae of Physics, wherever the
    • the well-known formulae should be looked through with this
    • Whatever in our formulae is to represent the effects of
    • thing I will say today, if only to formulate the problem. For
  • Title: Astronomy Course: Lecture IX
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    • have to use the element of figure and form, the mathematical,
    • begin with, nothing more than a form of optical picture,
    • But now, this curve has various forms,
    • The curve has different forms, according to whether b, as I
    • curve is changed and it takes on this form
    • And if b = a, the curve passes over into a quite special form,
    • it changes into this form
    • obtain the special form of the Lemniscate. The
    • lemniscate, then, is a special form of Curve of Cassini
    • particular form assumed by the curve is determined by the
    • only these two constant magnitudes, b and a, and the form of
    • form a continuous mental picture of this curve, what must you
    • difference. The curve of Cassini in its various forms is the
    • point M, and then a constant quotient to be formed through
    • this we find different forms of the circle (that is,
    • proportion of m to n. These different forms of the circle
    • forms, the lemniscate and the form in which there are two
    • inside here and the outside here; while in a second form of
    • curve, the first form of the circle would correspond to the
    • closed forms, as far as the lemniscate. After this we have
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  • Title: Astronomy Course: Lecture X
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    • form, I showed how the connections should be thought of
    • part of Goethe — to derive the formation of the bones
    • of one form of bone into another was conceived on the one
    • far removed from one another in the aspect of their form
    • the form and bringing a whole range of phenomena into
    • opposite, once more, in regard to their form. We only begin
    • inner to the outside, I get a form similar to the original
    • such a way that the form which was inside and has now been
    • the human being: The outer universe, forming the outside of
    • forms; morphologically, they mediate between the two opposite
    • between the forming of mental images and the life of will can
    • day-waking consciousness, forming the content of our
    • is formative in our organisation, in a much more real way
    • than when, in picture form, it becomes active in our life of
    • have no right to explain the form and development of the
    • think of this relationship more concretely than in the form
    • forms the basis for our life of knowledge, we are directed
    • forms of the minerals then we must also see the effect of
    • what works in the cosmic sphere itself in forming our faculty
    • more definite form can they be of use in helping us to grasp
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  • Title: Astronomy Course: Lecture XI
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    • the forming of the head to all that derives from the great
    • form of picture which has evolved through the great changes
    • true form of the underlying reality, while what the eye
    • emphasised how to this end the form of man must be seen in
    • presuppose what we arrived at in former lectures — the
    • kind of qualitative mathematics, learned from the human form
    • find that it no longer presents the same uniform picture, but
    • present form, we must be clear that the form of it changes in
    • is of peculiar form. In a certain direction it seems to move
    • phenomenon, though somewhat different in shape and form.
    • and other planets) is so formed that the loop is completely
    • form of Lemniscate were brought about in which the lower
    • draw it into the human form and figure.
    • form, in diverse ways inscribed in human nature. These things
    • Lemniscate with its loop-formation a morphological key to the
    • you find it necessary to modify the form of Lemniscate. At a
    • certain point you must imagine it transformed; the
    • transformation is already indicated in the forming of the
    • rigid forms of curve in a rigid Euclidean space, would help
    • us little if we tried applying it to organic forms. Only by
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  • Title: Astronomy Course: Lecture XII
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    • have also been drawing attention to the form of man, and
    • incidentally, from time to time, to the forms of animal and
    • however, it is the human form and figure we have
    • formation of man is in some way related to what finds
    • formulate it with great care.
    • shall find the formative principle of the looped curve or
    • three formative principles
    • recognise these formative principles in the human organism,
    • underlying formative principle is the Lemniscate, none the
    • follow the human form and figure upward and downward from
    • vanish, nestling away, so to speak, in the internal formative
    • dominates the middle part of man. Only, the formative forces
    • the formative principle of the moving Lemniscate is combined
    • as being fundamental to the form and figure, to the whole
    • forming and configuration of the human body. (By the word
    • purely and simply what is made manifest in the forming of
    • outside us which is the principle of form within us. Let us
    • now follow this loop-forming principle in greater detail. Is
    • lines, we shall indeed relate the loop-formation of Saturn,
    • opposition. Whilst, inasmuch as Venus and Mercury form their
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  • Title: Astronomy Course: Lecture XIII
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    • movement of the planets, the apparent forms of which we have
    • been studying, he propounds peculiar mathematical formulae.
    • the centre of the latter circle moves along the former. The
    • school. Here it cannot be said that the forming of
    • return to the former method, simply uniting by mathematical
    • does. Once more, translated into modern forms of speech, the
    • connected Jupiter, Saturn and Mars with the forming of the
    • human head, Venus and Mercury with the forming of what is
    • Saturn and Mars with the forming of all that is above the
    • become enlightened; the men of former times were simple, with
    • equations — a mere transformation, in effect, yet there
    • Nature in all their variedness of form and kind.
    • so drawn as to show the formative process returning upon
    • plant-forming process speeding on into the mineral, whilst
    • the animal-forming process turns back upon itself to become
  • Title: Astronomy Course: Lecture XIV
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    • co-ordinated with what is formed in the living human body,
    • plant body, are so formed that if we recognise the
    • characteristic lines of form (as for example we did in
    • in the way we form our human thoughts.
    • illustrated really lived in olden time. The form at least,
    • therefore, near the periphery, a centre forms, from which the
    • forces should help form both man and beast. That forces
    • forming and configuration of our body, is intelligible. Such
    • different form the Moon-sphere.
    • they do, they are in mutual relation. Some element of form
    • the other hand the organic forms in which you can well
    • imagine that they find expression. Form and formation of the
    • then is qualitatively, what in its quantitative form is the
    • carrying the animal-forming process to extremes. Whilst in
    • the mineral, the plant-forming process has overreached
    • itself; in man on the contrary the animal-forming process has
    • happens, in this formation of man as compared to the animal?
    • lectures. Study the share of the Solar entity in the forming
    • this permeation of animal form and development with cosmic
    • Sun-substantiality. Look at the forms as they are. Then you
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  • Title: Astronomy Course: Lecture XV
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    • forming of man and what appears in the celestial phenomena.
    • Copernican theories in forming our pictured synthesis of the
    • difficulties are formidable. Earlier in these lectures we
    • form ratios between the periods of revolution of the planets
    • Three*, we get into formidable difficulties in spatial
    • comprehend the form of man himself. We are then let to this:-
    • dealing with organic Nature, we can try to form ideas upon
    • should again get the form of a tubular bone, needless to say.
    • towards the Sphere, will then receive this form
    • belongs to the rhythmic system, and it will somehow form the
    • recognise the organ when entirely transformed, de-formed;
    • real understanding of the human form and figure will lead us
    • thinking of the human form and figure I need the
    • phenomena within an ordinary rigid form of space.
    • more, one that involves variations of form. Let us at least
    • forms. One, not unlike an ellipse: — this form arose when the
    • indicated. The second form was the lemniscate. The third form
    • mere relationship of form — as between any organ in the head
    • form in the human head you wish to make a transition to the
    • understanding of a form in the human metabolic system then
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  • Title: Astronomy Course: Lecture XVI
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    • shall be able to determine the forms of movement of the
    • heavenly bodies, and — in addition to the forms of
    • determine first the curve-forms (inasmuch as forms of
    • formed as I have done for very definite reasons.
    • scientific education, I have attempted to form these lectures
    • distinctions if we wish to find true forms of curves for the
    • diverse are the forms of curves that arise in man himself
    • through the forces that build and form him. We ascertained
    • quite different forms of curve in the region of the
    • limbs. The two types of form are none the less related, but
    • forming and shaping forces of the human body we have two
    • movements as the “rotating, shearing and deforming
    • time study the form and formation of the human body and look
    • forming and development of man does indeed take place in
    • transformation, when it takes place with our deliberate
    • being transformed, yet so that the transformation takes place
    • organization. The metabolic transformation must also be
    • out for us — a metabolic process of transformation for
    • metabolic process (a transformation of substance) is taking
    • place. We let the Cosmos move us; a transformation of
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  • Title: Astronomy Course: Lecture XVII
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    • been saying. The forms of our inner organisation, in the
    • position in the heavens. We may formulate it thus: —
    • have to seek an understanding of the human form, — its
    • grows upward, a kind of invisible plant-formation grows down
    • to meet him. It is a plant-form with its roots unfolding up
    • plant-forming process, opposite to the man-forming process.
    • than this: While on the Earth craters are formed by outward
    • will begin by drawing the ordinary hypothetical form of solar system
    • along with the course of Earth and Sun, the path-forms of the
    • also formulate it thus: What we behold in Venus and Mercury
    • can form scarcely be more than diagrammatic.
    • has to be applied. From the accepted formulae, one
    • holding fast to the conventional formulae and being led to
    • formulae themselves — make them inherently mobile
    • harmony between the movements in the Heavens and the form of
    • own form and stature — you will be able to compose the
  • Title: Astronomy Course: Lecture XVIII
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    • right way. We cannot form true ideas of what we see if we do
    • where form components of forces in the direction of the path
    • must also have been formed in a surrounding medium;
    • certain curves — and arithmetical formulae. Yet as we
    • saw, these curves and formulae are never in full agreement
    • contain the phenomena of the Heavens in succinct formulae or
    • of it by dint of calculation. We never do contrive a formula
    • system in a precise and finished form; it would at most be
    • rigidity and on the other hand to the forming of ever-mobile
    • established form.
    • changes the gesture of its form, which is in fact
    • laws. See then what form is taken by the same type or
    • deformation or whether you follow the lines along which the
    • any other form than was provided for by the accustomed
    • treatment — to a projective form of mathematics and
    • maintain, for it is true: to the ordinary forms of



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