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• Title: Astronomy Course: Lecture I
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• Ptolemaic system. That arose out of different soul-forces.
• Then our Copernican system. That arose from yet other
• soul-forces. The Copernican system did not develop because
• small cosmic system and are satisfied if it all seems to fit.
• carry the system, which we have first thought out and
• stars. They would all have to become little cosmic systems.
• is a kind of balancing system which preserves the rhythm.
• relationships existing in the planetary system, —
• altogether in the whole starry system. You can enter quite
• Title: Astronomy Course: Lecture II
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• the whole coordinate system in the center of the Sun.’
• whole thing was purely the construction of a world-system
• system, when employed purely mathematically, supplies the
• ancient Chaldean system, with the Egyptian, with the
• mathematics, can thus be foretold. One system is as well
• thought-pictures arise with the Copernican system. But the
• are not made with the Copernican system. Curiously enough, in
• calendar, — the system of Tycho Brahe is used! This
• his cosmic system upon three axioms. The first is that the
• Astronomy, founded as it is on the Copernican system, it has
• system, but accepts the first two axioms because they are
• ‘Copernican system’ from which a most important
• the metabolic system in its connection with the limbs is
• limb-system to the Earth-life. Man is so placed in the
• system, and with the Earth-life in his metabolic system. And
• perpetual harmonizing between the head-system and the
• metabolic system. In the temperate zones there is a primary
• development of the rhythmic system in man.
• membering of man — nerves-and-senses system, rhythmic
• system, metabolic system — and the outer world. The
• Maximum number of matches per file exceeded.
• Title: Astronomy Course: Lecture III
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• the Copernican world-system, and a third system might equally
• Title: Astronomy Course: Lecture IV
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• construct world-systems by deductive methods.
• genetic explanation of the entire cosmic system (as you will
• “Exposition du Systeme du Monde”), or again in
• By observing the different planets of a solar system, it was
• deduced what then became a whole genetic system of Astronomy.
• understand our solar system in its totality, and only base it
• of the solar system. But the astronomical system thus
• also play into our system and present a riddle precisely
• system, we are led to say: A sea of ideas has gradually been
• formed from the study of our planetary system as a whole,
• whole planetary system, or shall we say, with its continuing
• activity of the whole planetary system. That is quite
• will build up a world-system according to reality. Good. But
• planetary system which cannot possibly go on existing.
• planetary system would move towards its own ultimate death
• pointed out again and again. While such a system can
• I arrive at a world-system which is still and rigid. But that
• the system has not actually reached rigidity under the
• Kepler's third Law) that the planetary system owes its
• our thoughts about the planetary system upon numbers which in
• Maximum number of matches per file exceeded.
• Title: Astronomy Course: Lecture V
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• ‘The Copernican System works no more satisfactorily
• ‘Let us then design another system’. We shall see
• leaving aside for the moment the rhythmic system
• breathing and blood-circulation — the metabolic system
• ideation. A thorough study of the metabolic system
• is all that belongs to the rhythmic system. Now we may ask,
• what in the rhythmic system is directed outward and what
• processes in the rhythmic system rather merge into
• co-operation of the nerves-and-senses system with the
• rhythmic system.
• the interpenetrating relation between the rhythmic system and
• the nerves-and-senses system in process accessible to
• between the rhythmic system and the processes of metabolism
• diverse astronomical world — systems. As we saw
• for ultimately, our world systems are chaotic,
• special breathing exercises of the Yoga system were perfected
• system of breathing-exercises arose.) Breathing unites
• cosmic systems, previous to the Ptolemaic, till we are able
• System, and on the other hand, of researching into the
• were sought by the old Indian sages in the Yoga System, so as
• Maximum number of matches per file exceeded.
• Title: Astronomy Course: Lecture VI
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• illustration — the ancient Indian Yoga system. Man
• Title: Astronomy Course: Lecture VII
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• selection, as though the eventual form of our solar system
• degree of the other parts and systems in the human and animal
• co-ordinate system answering to what I now intend, it would
• should be led in this way from the rigid co-ordinate system
• of Euclidean space to a co-ordinate system that is inherently
• Title: Astronomy Course: Lecture VIII
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• So they arrived at the Copernican system and at its
• the planets of the solar system. We may ask, what would the
• disturbances would arise, whereby the planetary system would
• revolution enables the planetary system, so to speak, to stay
• alive. In other words, the solar system contains among other
• life of the planetary system! We are in a strange predicament
• when calculating the planetary system. If it were such that
• alive in the planetary system is precisely what we cannot
• inevitable death of the whole system? We base them on the
• system subject to the force of gravitation. Then indeed we do
• arrive at commensurable ratios. But the planetary system
• extent that death prevails in the planetary system, basing
• there must be something in the planetary system
• into our planetary system. I mean what reveals itself in the
• system, and they have recently been leading scientists to
• to a telegraphic system. Maybe one day something quite
• more detail. While for the rest of the planetary system they
• system, — something which in its nature is in a way
• opposite to the inner structure of the planetary system as
• Nature, inherently belonging to our planetary system, find
• Maximum number of matches per file exceeded.
• Title: Astronomy Course: Lecture IX
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• of two facts: The appearance within the planetary system of
• system, though perhaps not bearing quite the same
• and b as the center of the axes of a co-ordinate system and
• system and let the point whose ordinate we will call y move
• begin with, between what takes place in the third system of
• what comes to expression in the metabolic system. It is
• like this exists in our educational system today; but it must
• Title: Astronomy Course: Lecture X
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• between the processes of the human metabolic system and the
• processes of the head, the nervous system, or whatever you
• between a straight line, or a system of straight lines,
• systems too — in muscle and nerve, and so on; —
• the whole essence and content of the human metabolic system
• closely related is the head system to what I have just
• mediates between them. In the rhythmic system we actually
• human metabolic system and to the forces active there, forces
• that I create a continuous, moving system of Cassini curves
• that a system of light-effects would follow if a variability
• and secondly, in addition to this system, another, which has
• meta-mechanical, meta-phoronomical system for the rotating,
• familiar system of mechanics and phoronomy to the centric
• Title: Astronomy Course: Lecture XI
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• head and that of the metabolic system including the limbs. As
• assign the metabolic system to what is earthly, — what
• whole system. Going upward from thence to the
• system.
• Title: Astronomy Course: Lecture XII
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• centre. We then have a system of forces which we may conceive
• rhythmic system some relation to the path of the Sun. We
• system of the starry movements. My purpose here is not to
• heavenly bodies, nay, with the very system of the Cosmos.
• Title: Astronomy Course: Lecture XIII
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• the Ptolemaic system was prevailing. Then through the work of
• Copernicus the system we accept — though with
• system or starry system as conceived by Aristarchus of
• there in human thought, the Ptolemaic system supplants it,
• all essentials we may aver that the Ptolemaic system held
• essence of the Ptolemaic cosmic system? The essence of it is
• system of planetary movements, which seems to us so
• Of course the Copernican system is simpler, — that will
• system was adhered to with a certain tenacity throughout the
• thinking about the cosmic system? It is difficult to describe
• description of Aristarchus system, we shall say: This
• heliocentric system is fundamentally no different from the
• this other system — the strange one of the Ptolemaic
• of today were to make a model of the planetary system.
• is seen externally. And now, in the Copernican system we
• in Aristarchus's system. Yet is it really the same? This is
• mind the original premises of the Copernican system and the
• his planetary system ideally, much in the same way as we
• at the bottom of this complicated Ptolemaic system, to make
• only a thing thought-out, or does this thought out system
• Maximum number of matches per file exceeded.
• Title: Astronomy Course: Lecture XIV
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• that in the last resort both the Ptolemaic system and that
• way or another, what is observed. The Ptolemaic system and
• body) we find in them a certain likeness to the line-systems
• outlook which under-lay the Ptolemaic system and the kind
• that underlies the Copernican world-system of today.
• doing when we set to working the spirit of the latter system,
• out a world-system? What do we do in the first place? We
• Copernican system. The school from which the Ptolemaic system
• still lived thus perceivingly amid the Ptolemaic system did
• do the system justice. If he had simply said, "Up yonder is
• Moon, in the original meaning of the Ptolemaic system.
• idea of the Moon which underlay the Ptolemaic system and you
• the Ptolemaic system was felt as a reality. The inner
• inner perceptions such as these that the Ptolemaic system of
• real conceptions of the inner structure of our cosmic system.
• system. You never gain a clear notion of it if you conceive
• justice to the true system of Nature with all her creatures
• resort, all systems of Nature which begin with the mineral
• Title: Astronomy Course: Lecture XV
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• Whether we go by some ancient cosmic system of by the
• of our system we come to incommensurable numbers. Arithmetic
• centring as it does in the nerves-and-senses system, is
• relatively independent. So is the rhythmic system with all
• that belongs to it. The metabolic system too, and all that
• goes with it in the organization three independent systems
• human system related to each other, according to this
• the human system are related to each other. On the face of
• are fundamental to the metabolic and lymph system. But if we
• memberment — lymph-system and skull system — represent
• belongs to the rhythmic system, and it will somehow form the
• threefold system thus presented we have the key to the
• some organ in the metabolic system — the liver for example —
• understanding of a form in the human metabolic system then
• metabolic system, which in their turn you will comprise in
• to imagine spatially separated line-systems, inherently
• real cosmic system, such as we see it with our eyes, — the
• or what we call the Galactic System.
• origin of your coordinate system in three-dimensional space.
• premise that the origins of any relevant system of polar
• Maximum number of matches per file exceeded.
• Title: Astronomy Course: Lecture XVI
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• mutual positions. A comprehensive view of our system of
• whole cosmic system will give us any criterion — I
• Title: Astronomy Course: Lecture XVII
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• tracing the bony system or the nervous system in man. Even
• nerves-and-senses system and in the metabolic and limb-system
• metabolic and limb-system with the skull-bone. The
• to relate this curve in the right way to our solar system. I
• will begin by drawing the ordinary hypothetical form of solar system
• our planetary system and then again the Earth is where we
• establishment of an extremely simple system, whereas in fact
• being in the centre of the system.
• planetary system as a whole) we have then to imagine a
• without presupposing which the Newtonian system would break
• system of Lemniscates in determined order and relation. Such
• system which people have explained to them at school and then
• Tychonic system. Then one correction after another
• would soon reach the system here drawn, though I repeat, the
• old heliocentric system and the new heliocentric, the
• Astronomical world-system, as we call it, also involves an
• to represent our solar system, are not to be conceived as
• system going with it. All these things are built up of very
• Title: Astronomy Course: Lecture XVIII
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• one another that the whole system would rigidify. Our
• planetary system does indeed also contain this tendency to
• express what confronts us in the planetary system by means of
• system of lemniscates. We can do so indeed. Even this system
• system in a precise and finished form; it would at most be
• ice-age — would require me to modify the system not a
• Namely, a planetary system has this essential feature: It
• Lemniscates. In the solar Saturn or planetary system there is
• picture of a planetary system, say the Copernican picture,
• its departure. Out there — outside the system
• system; purely and simply by virtue of the simple arrangement
• it belongs to an entire system. Only by speaking in this way
• will at last be explaining the origin of the celestial system
• system has arisen: You explain it to your audience:
• “You see, it is a planetary system”. You compare
• it with the solar system in the Universe outside — the

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