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 Title: Lecture: Social and AntiSocial Forces in the Human Being
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 Just as no man can claim to do arithmetic if he has never learned his
 Title: Lecture: The Two Christmas Annunciations
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 nevertheless true, that what our children learn as arithmetic and
 grasp of what it might mean to take in the sciences of arithmetic and
 Title: Lecture: The Alphabet
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 still had to learn grammar, rhetoric, dialectics, arithmetic,
 astronomy. Arithmetic was not taught as the abstraction of today, but
 arithmetic and in a similar way with geometry. From geometry one got
 Title: Mathematics and Occultism
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 of geometrical forms and arithmetical relations of numbers, then he is
 Title: Lecture: The Migrations of the Races
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 Civilization had developed the art of arithmetic. The outcome was the
 Title: Lecture: Some Conditions for Understanding Supersensible Experiences
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 Arithmetic, Dialectic, Rhetoric, and so on. This no longer means
 Title: Lecture: The Universe
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 occupy ourselves with arithmetic and geometry, we look back
 Title: Lecture: The Position of Anthroposophy among the Sciences
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 practised these inwardly, as exercises, Arithmetic followed;
 but this, again, was not our abstract arithmetic, but an arithmetic
 Title: Evolution/Aspect: Lecture 6: The Inner Aspect of the Earthembodiment of the Earth
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 baker gave him a number of rolls, and being no great arithmetician,
 Title: Lecture: Zarathustra
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 Arithmetic from the Phoenicians, Astronomy from the Chaldeans —
 from whom he learnt Arithmetic, nor among the Chaldeans from whom he
 Title: Lecture: Reincarnation and Karma
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 count, and therefore cannot learn arithmetic. Even in the
 Title: Lecture: About Horses That Can Count and Calculate
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 in every subject, but if he was given an arithmetical example —
 in arithmetical problem, and it is not necessary at all that it should
 Title: Tension Between East and West: Lecture 3: East and West in History
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 they were called: grammar, rhetoric, dialectic, arithmetic,
 Title: Tension Between East and West: Lecture 8: The Problem (AsiaEurope)
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 this civilization increased not simply in an arithmetical
 Title: Karma of Vocation: Lecture III
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 that had been taught to do arithmetic, as well as other things
 these various animals performed feats of arithmetic. A great
 simple problems in arithmetic by bringing together figures
 Title: Reincarnation and Immortality: Lecture II: The Historical Evolution of Humanity
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 saying that a four year old child cannot do arithmetic,
 therefore the human being cannot do arithmetic. Memory of
 Title: Eternal Soul of Man in the Light of Anthroposophy
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 counting, arithmetic and so on, or whether a further glimpse
 much prudence as the mathematician takes with his arithmetic
 Title: Supersensible Knowledge: Lecture VII: Education and Spiritual Science
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 stimulated. Nature study and arithmetic train the power of
 Title: Esoteric Cosmology: Lecture VIII: The Christian Mystery
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 arithmetic, beneath the zero point, we enter into the growing series
 Title: Pastoral Medicine: Lecture 10
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 arithmetic to see how we relate to the world with our breathing, how
 arithmetic, all the thinking, all that can be calculated rationally
 Title: Broken Vessels: Lecture 10
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 arithmetic to see how we relate to the world with our breathing, how
 arithmetic, all the thinking, all that can be calculated rationally
 Title: Lecture: Foundations of Esotericism: Lecture V
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 yourself, as sound, then you are studying the arithmetic of the air.
 arithmetically organised produces sound. Here we have an example of
 perception of the inner arithmetic which is preserved from sound in
 crossing of the Rubicon. The inner arithmetic of sound is still
 arithmetical in our speech remains in the Akashic Record. When he
 Title: First Lecture (First Scientific LectureCourse)
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 actually reaches Nature. The first is common or garden Arithmetic. In
 studying Nature nowadays we do a lot of arithmetic — counting
 and calculating. Arithmetic — we must be clear on this —
 arithmetic, we receive something which, to begin with, has no
 conclusions about the outer processes to which our arithmetic is then
 In Arithmetic, in Geometry and in Phoronomy or Kinematics we have the
 is concerned with the way forces work in space and time. Arithmetic,
 scientists proceed. Equipped with arithmetic, geometry and
 truths of arithmetic, geometry and kinematics, — these we
 Title: Second Lecture (First Scientific LectureCourse)
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 kinematical, geometrical and arithmetical truths, — truths we
 contains, as by arithmetic, geometry and kinematics I get a clear
 Title: Third Lecture (First Scientific LectureCourse)
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 character. They will restrict their thoughts to what is arithmetical,
 Title: Fourth Lecture (First Scientific LectureCourse)
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 all the arithmetic. You see from this example: our fundamental way of
 Title: Seventh Lecture (First Scientific LectureCourse)
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 which was then worked out more arithmetically. Mayer himself
 Title: Eighth Lecture (First Scientific LectureCourse)
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 arithmetical (able to be numbered and calculated), nor can they be
 spatial and temporal, kinematical and arithmetical forms, in place
 Title: Ninth Lecture (First Scientific LectureCourse)
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 mass, we are in fact going beyond mere arithmetic —
 Title: Tenth Lecture (First Scientific LectureCourse)
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 of arithmetic and geometry — by the arrangement of lines,
 arithmetical thinking. Geometry, you know, was a very ancient
 origin of all our phoronomical — arithmetical, geometrical
 outer world the ideas of “scientific” arithmetic and
 arithmetical and kinematical ideas. The former we derive from our
 the geometrical, the arithmetical ideas — rise up from the
 “geometrical” henceforth to represent the arithmetical
 phenomena of warmth) — by means of geometrical, arithmetical
 akin to the realm of human Will, in which geometry and arithmetic
 originate. For this, our arithmetical, algebraical and geometrical
 Plainsailing arithmetical and geometrical methods proving
 Title: Origins of Natural Science: Lecture III
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 arithmetic. They are nothing but schemata drawn from immediate human
 Title: Origins of Natural Science: Lecture IV
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 arithmetical forms were intensely qualitative inner experiences. For
 Title: Origins of Natural Science: Lecture VI
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 that is related to form, space, geometry or arithmetic, we have to
 These images are the mathematical geometrical, and arithmetical
 Title: Warmth Course: Lecture III
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 considered equally well as a purely arithmetical or geometrical fact.
 Title: Warmth Course: Lecture V
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 abstractions which make up the sum of our pure arithmetical and
 Title: Lecture 8: Spiritual Beings in the Heavenly Bodies and in the Kingdoms of Nature
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 arithmetical method, a quite new concept from the cooperation of your
 Title: Lecture: Younger Generation: Lecture II
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 Grammar, Dialectic, Rhetoric, Arithmetic, Geometry, Astrology, Music
 Title: Lecture: Younger Generation: Lecture IX
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 lead them gradually to what can be known, to arithmetic, geometry,
 rhetoric, one was able later to pour into arithmetic, geometry,
 the students were given arithmetic — as arithmetic was
 today — those who guided them into arithmetic, knowing too how
 rhetoric, arithmetic, geometry, astronomy and music, grew out of an
 Title: The Ego: Lecture 2
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 nothing called the discoverer of arithmetic, that means, that faculty
 Title: Lecture: Lecture I: Occult Signs and Symbols
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 do arithmetic or make judgments. This property man has acquired
 Title: Wisdom of Man: IV. Supersensible Currents in the Human and Animal Organizations.
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 reversed. Arithmetic could only develop with the consciousness soul.
 Title: Lecture: The Proclamations to the Magi and the Shepherds
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 nevertheless a fact that the geometry and arithmetic learnt by
 geometrical and arithmetical sciences were once imparted to mature
 see in them the expressions of mathematical, arithmetical progression,
 Title: World Economy: Lecture IV
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 are to seek such arithmetical processes in the world of Reality
 Title: Reappearance/Christ: Lecture XI: Individual Spirit Beings and the Undivided Foundation of the World: Part 2
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 one workman to another. Then he worked with arithmetic means. You
 know that it does not matter if one uses arithmetic means in
 mechanics, but with human beings one cannot employ arithmetic means,
 arithmetic means, however: he selected those workers who recovered
 Title: Kingdom of Childhood: Lecture 1
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 means, with the first simple beginnings of Arithmetic. All this must
 Title: Kingdom of Childhood: Lecture 3
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 Arithmetic for instance. Now in the Waldorf School we once had rather
 too!” For they had been brought up to think of Arithmetic as
 Title: Kingdom of Childhood: Lecture 4
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 from 8–9 Arithmetic; 9–10 Reading, 10–11 Writing,
 that we never alternate by having Arithmetic from 8–9 and
 Reading 9–10, but we have Arithmetic alone for several weeks,
 subjects, e.g. Arithmetic, and can be corrected by frequent little
 Title: Kingdom of Childhood: Lecture 5
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 counting before you go on to Arithmetic.
 Arithmetic too must be approached out of life. The living thing is
 what must now be taken into account in our Arithmetic teaching. It
 Arithmetic. If you are walking towards a distant wood you first see
 in Arithmetic. You never have in your purse, let us say, 1, 2, 3, 4,
 Arithmetic is often taught by saying: “You have five, and here
 it. Thereby I bring life into my arithmetical methods and above all I
 again much depends on our teaching Arithmetic in the way we have
 Title: Kingdom of Childhood: Lecture 7
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 where an Arithmetic example was being given which was supposed to
 bring such an unreality into an arithmetical example, then this way
 reproached because he had not got so far in Arithmetic as was
 Title: Kingdom of Childhood: Questions and Answers
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 Transition from the concrete to the abstract in Arithmetic.
 concrete to the abstract in Arithmetic?
 one should endeavour to keep entirely to the concrete in Arithmetic,
 the transition from the concrete to the abstract in Arithmetic is
 concrete is just that kind of Arithmetic which one uses most in real
 Title: Lecture: Curative Education: Lecture 10
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 will remember, I set him a comparatively simple sum in arithmetic —
 teaching arithmetic, give the minuend and subtrahend, but instead the
 Title: Principle/Economy: Lecture III: More Intimate Aspects of Reincarnation
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 most primitive form. But although modern arithmetic,
 the first rudimentary inkling about arithmetic, counting,
 Title: Principle/Economy: Lecture IV: Results of Spiritual Scientific Investigations of the Evolution of Humanity: I
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 kind of mind that enables us to read or to do arithmetic, but
 Title: Principle/Economy: Lecture VI: On the Occasion of the Dedication of the Francis of Assisi Branch
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 affection. The first rudimentary beginnings of arithmetic and
 germinal beginnings of man's ability to do arithmetic and to
 Title: Principle/Economy: Lecture XI: From Buddha to Christ
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 absorbed and developed the rudiments of arithmetic. They were
 Title: Lecture III: Man in the Past, the Present and the Future
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 for instance, was twenty or 200 million years ago. The arithmetical
 Title: Education: Lecture IX: Arithmetic, Geometry, History
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 Arithmetic and
 arithmetic or geometry, or when we lead him on to writing from the basis
 the remarkable thing is that arithmetic and geometry work upon both
 education arithmetic and geometry are really like a chameleon; by
 definite age, arithmetic and geometry must be taught throughout the
 continues all that it has received as arithmetic and the like. We
 concrete conception of space. In arithmetic, too, we must proceed in
 into arithmetic and geometry. This whole mode of thought is extended
 arithmetic what is said in this pamphlet about concrete conceptions
 is that everything conveyed in an external way to the child by arithmetic
 tail foremost, so in the teaching of arithmetic we must have the right
 underlying all arithmetical calculations: i.e., the
 arithmetic lessons, will become a vivifying force, of especial
 and attention, especially into our teaching of arithmetic and geometry.
 — 8 – 9, arithmetic, 9 – 10, history, religion, or
 inner life and soul, just as we did in the case of arithmetic and geometry,
 Title: Education: Lecture XI: Memory, Temperaments, Bodily Culture and Art
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 during these lectures. Arithmetic too may be used for the same end,
 for in arithmetic we ought always to begin with an artistic
 Title: Human Values in Education: Lecture I
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 arithmetic like this, geography like that, and so it goes on.
 Title: Human Values in Education: Lecture III
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 recently, where horses have carried out simple arithmetical
 Title: Human Values in Education: Lecture IV
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 arithmetic externally obvious. The next thing we may expect is
 Title: Human Values in Education: Lecture V
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 to be very gifted in learning arithmetic or languages. But to
 he can learn languages, arithmetic and so on quite easily
 arithmetic. What comes later blots out what has been given
 In arithmetic, for instance, such a period might last 4 weeks.
 weeks, when the arithmetic period has been taken far enough and
 arithmetic.” The children were quite unable to understand
 that doing arithmetic could be regarded as a punishment, for
 Title: Human Values in Education: Lecture VIII
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 teaching of arithmetic has a very deadening effect. The
 is to make the teaching of arithmetic perceptually evident. We
 Title: Human Values in Education: Lecture IX
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 Liberal Arts: Grammar, Rhetoric, Dialectic, Arithmetic,
 example: Arithmetic was not practised as it is today, but was
 Title: Practical Course/Teachers: Lecture I: Introduction  Aphoristic remarks on Artistic Activity, Arithmetic, Reading, and Writing
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 Teaching the child arithmetic is quite another thing. You will
 physical in arithmetic, and we are really teaching the soul and
 activity, the semisuperphysical in arithmetic, and the
 arithmetic, and we must teach the conventional element of
 can then go the opposite way and continue your arithmetic. You
 subjects — you can apply to the whole art of arithmetic
 Title: Practical Course/Teachers: Lecture IV: The First Schoollesson  Manual Skill, Drawing and Painting  the Beginnings of Languageteaching
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 arithmetic, and how he cannot do these things yet, it is true,
 Title: Practical Course/Teachers: Lecture V: Writing and Reading  Spelling
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 whole. As in arithmetic we start with the sum, not with the
 Title: Practical Course/Teachers: Lecture VIII: Education After the Twelfth  History  Physics
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 reading and later go on to arithmetic; but I shall only pass on
 Title: Practical Course/Teachers: Lecture X: Arranging the Lesson up to the Fourteenth Year
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 Arithmetic should be begun somewhat later. This can be adjusted
 Foreign languages. A little later, arithmetic.
 Title: Practical Course/Teachers: Lecture XII: How to Connect School with Practical Life
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 relatively good geometry and arithmetic textbooks. They have
 quite horrible. The arithmetic and geometry books are very bad.
 to reach the age of fifteen without being led from arithmetic
 Title: Practical Course/Teachers: Lecture XIII: On Drawing up the Timetable
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 Title: Study of Man: Lecture XIV
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 Thus all the teaching, even what is given in geometry and arithmetic
 even in arithmetic and geometry. That is why I said yesterday (In
 Title: Spiritual Ground: Lecture V: How Knowledge Can Be Nurture
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 A child is able to take in the elements of Arithmetic at quite an
 early age. But in arithmetic we observe how very easily an
 arithmetic and mathematics in the right way. And what this is can
 another: arithmetic and moral principles. It is not usual to hitch
 arithmetic on to moral principles because there seems no obvious
 right introduction to arithmetic will have quite a different feeling
 perceives: what forces connect the faculty used in arithmetic with the
 small illustration of the principles of arithmetic teaching. It is
 common nowadays to start arithmetic by the adding of one thing to
 When we apply this to the teaching of arithmetic we get the following:
 Title: Spiritual Ground: Lecture VII: The Organisation of the Waldorf School
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 History, from 10 – 11 Arithmetic, — that is, instead of
 in October four weeks of Arithmetic, then three weeks of Natural
 Title: Curative Eurythmy: Lecture 4
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 arithmetic or gymnastics for an hour he will become equally tired in
 Title: Anthroposophy Science: Lecture I
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 whether it is in the field of arithmetic, algebra, higher
 Plato did not require an arithmetical or geometric knowledge
 Title: Anthroposophy Science: Lecture III
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 is there when we dwell in geometrical, arithmetical, or
 with geometrical and arithmetical pictures, and feel that
 Title: Dear Children: Lecture II: Address at a Monthly Assembly
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 school; whether we are doing arithmetic, reading, writing, or whatever
 Title: Dear Children: Lecture III: Address at the Assembly at the End of the First School Year
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 being taught, such as arithmetic, for example. Here it is always the
 Title: Colour: Part Two: Dimension, Number and Weight
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 with the scales or the measuring rod or arithmetic. Colours cling, as
 determined by scales and measuringrod and arithmetic. All else has
 Title: Temple Legend: Lecture 20: The Royal Art in a New Form
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 arithmetic; in short, everything pertaining to inorganic nature, to
 Title: Child's Changing Consciousness: Lecture I
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 .54. Arithmetic and writing carry the correlation
 coefficient of .2, arithmetic and drawing .19,
 and so on. From this it can be seen that arithmetic and drawing
 Title: Child's Changing Consciousness: Lecture III
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 arithmetical task, he naturally knows the answer in his head.
 example, in gym or arithmetic classes, and so on. There is
 it. If you fail to present arithmetic or writing lessons
 arithmetic without undue strain. The important thing is that
 Title: How Can Mankind Find Christ Again?: Lecture 8: Experiences of the Old Year and Outlook over the New Year (part 2)
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 more than he allows it to do in arithmetic. The person is participating
 Title: Spirit and Matter: Lecture III: Immortality, the Forces of Destiny, and the Course of Life
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 may calculate correctly, the other wrongly, but the arithmetic
 Title: Riddles of the World: Lecture II: Our International Situation. War, Peace and Spiritual Science
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 increase of food rises arithmetically, the increase of
 Title: The Social Question as a Question of Consciousness: Lecture 3
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 and so on, all that is needed would be the four rules of arithmetic,
 Title: The Cyclic Movement of Sleeping and Waking
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 was taught arithmetic and other arts, the details of which one
 animals performed sums of arithmetic. People afterwards spent
 again, the animal seemed to solve simple sums of arithmetic by
 Title: Gospel/Matthew (1965): Lecture 1
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 arithmetic, for example, who is entirely ignorant of that
 Title: Gospel/Matthew (1965): Lecture 3
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 incorrectly called the inventor of arithmetic, the
 physical body. Arithmetic is something that in its form,
 Abraham is spoken of as the inventor of arithmetic. He is
 Title: Mystery Trinity: Part 1, Lecture 1
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 Title: Mystery Trinity: Part 1, Lecture 3
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 dialectic, arithmetic, geometry, music, and astrology gradually
 Title: Reincarnation and Karma: Lecture I
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 reading but not arithmetic, one who liked to hit other children but
 arithmetician: “In his previous incarnation this man was a good
 arithmetician!” Unfortunately, many undeveloped
 good arithmeticians, good mathematicians, often reappear with no gift
 Title: Turning Points: Lecture 1: Zarathustra
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 of Geometry, from the Phænicians concerning Arithmetic, and
 Title: Turning Points: Lecture 4: Moses
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 rhetoric,logic, arithmetic, geometry and astronomy. Plato and
 Title: Impulses of Utility: Lecture I: Western and Eastern Culture, H. P. Blavatsky
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 impel the means of nourishment forward arithmetically,
 increase in arithmetical progression, whereas the population
 Title: Toward Imagination: Lecture 2: Blood and Nerves
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 abstractly and study it as we study the multiplication tables, an arithmetic
 Title: Toward Imagination: Lecture 6: The Feeling For Truth
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 four arithmetical operations, which he had published in the old Academy
 Title: Health and Illness I: Lecture I: Concerning the World Situation
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 arithmetic, and when I describe it you'll say, “So
 what?” But the arithmetic problem posed in this
 amounts to giving them the most abstract arithmetic imaginable.
 matter how children learn arithmetic.” They don't think
 textbooks do not present arithmetic problems like the one cited
 Title: Health and Illness II: Lecture VII: The Relationship Between the Breathing and the Circulation of the Blood; Jaundice; Smallpox; Rabies
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 make an effort to learn. I am surprised that arithmetic has not
 Title: Karmic Relationships, Volume I: Lecture I
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 by this trivial analogy, but by the possibility of real arithmetical
 Title: Lecture: Karmic Relationships, Volume III: Lecture VI: The School of Chartres
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 Grammatica, Dialectica, Rhetorica, Arithmetica, Geometria,
 Title: Karmic Relationships, Volume IV: Lecture V
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 Dialectica, Rhetorica, Arithmetica, Geometría, Astronomía and
 Title: Karmic Relationships, Volume IV: Lecture IX
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 Dialectic, Arithmetic, Geometry, Astronomy and Music. In their combined
 Title: Supersensible Knowledge: Lecture I: Supersensible Knowledge: Anthroposophy as a Demand of the Age
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 geometrical or arithmetical problem. This can be done in the
 Title: Spiritual Development: Lecture III: Man's Faculty of Cognition in the Etheric World
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 to simple arithmetic, makes the square of dilettantism. So
 Title: Theosophy and Rosicrucianism: Lecture XI: Progressive Development Through the Different Cycles of Culture
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 and of arithmetic, and they developed the first capacity of
 Title: Inner Realities: Lecture 5: The Inner Aspect of the Earthembodiment of the Earth
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 baker gave him a number of rolls, and being no great arithmetician,
 Title: World of the Senses and the World of the Spirit: Lecture I
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 at arithmetic and never troubled himself as to how it worked out that
 the fosterbrother was a good arithmetician. And he saw how his
 bring home five rolls.” He was a very good arithmetician and
 arithmetician: “But that is quite wrong! One roll costs two
 The good arithmetician had
 Title: Destinies of Individuals and Nations: Lecture 8: Three Decisions on the Path to Imaginative Perception
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 transfer ordinary arithmetic, physical mathematics, to
 Title: Destinies of Individuals and Nations: Lecture 10: Problems on Spiritual Path  National Characteristics in Europe Moulded by Folk Spirits
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 someone who only knows elementary arithmetic is in
 arithmetic. There is no question, then, of being a
 Title: Wrong and Right Use: Lecture 2: Secret Brotherhoods2, or Wrong and Right Use of Esoteric Knowledge2, or Individual Spirit Beings and the Undivided Foundation of the WorldPart 2
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 Title: Fundamental Social: Lecture 1: The Transforming of Instinctive into Conscious Impulses
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 The increase in foodstuffs will take place in arithmetical,
 Title: Karmic Relationships, VI: Lecture VII
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 Arithmetica, Geometria, Astrologia or Astronomia, and Musica. These
 Title: Materialism/Anthroposophy: Lecture VIII
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 like geometry, like arithmetic, which, as we know, is mainly
 it could stand for all realities. When we take the arithmetic
 arithmetic we have today, our elementary counting, this
 with what is contained within us. The whole of arithmetic is
 the ancient experience of measure, arithmetic out of the
 the course of humanity's evolution, geometry, arithmetic, and
 Title: Materialism/Anthroposophy: Lecture XVII
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 arithmetic, and music. In contemplating the heavenly element
 of arithmetic and is inwardly built up harmoniously according
 geometry, astrology, arithmetic, and music. The Greeks lost
 astrology, arithmetic, and music, with the living soul
 astrology and arithmetic. At most, the inner harmony that
 forming of thought. Arithmetic, geometry, astrology, and
 arithmetic and geometry. In Egypt, people felt universal
 arithmetic, and music. These then were the seven liberal
 dialectics, geometry, astrology, arithmetic, and music. The
 engrossed in grammar, rhetoric, dialectics. Arithmetic,
 Title: Man's Being: Lecture VI: Man's Being, His Destiny and World Evolution  3
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 length of time when doing arithmetic, and again after a certain
 Title: History of Art: Lecture X: Disputa of Raphael  the School of Athens
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 appear: grammar, rhetoric, dialectic, geometry, arithmetic,
 Title: Lucifer and Ahriman: Lecture I: The Incarnation of Lucifer in Asia in the Third Millenium B.C.
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 ancient starwisdom was in no way akin to the arithmetical
 Title: Lucifer and Ahriman: Lecture V: The Human as a Being of Will
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 earth and, having some rudiments of arithmetical knowledge
 Title: Influences of Lucifer/Ahriman: Lecture One: The Incarnation of Lucifer in Asia in the Third Millenium B.C.
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 akin to the arithmetical astrology sometimes considered valuable
 Title: Influences of Lucifer/Ahriman: Lecture Five: The Human as a Being of Will
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 out of the earth and, having some rudiments of arithmetical
 Title: Esoteric Development: Lecture III: Supersensible Knowledge: Anthroposophy as a Demand of the Age
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 undertakes to solve a geometrical or arithmetical problem. This can
 Title: Social Forms: Lecture XIV: The Connection of the Members of Man with the Kingdoms of Nature, the Necessity of the Threefold Order
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 three: how arithmetic should be taught; paragraph four: how
 Title: History of Art: Lecture II: Leonardo, Michelangelo and Raphael
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 figures who, partly by meditation, partly by arithmetical, geometrical
 Title: The Hidden Depths of Soul Life
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 his soul man carries out what in arithmetic we may call a division
 Title: The Situation of the World
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 The increase in food is in accordance with arithmetic
 Title: Education as a Social Problem: Lecture II: The Social Structure in Ancient Greece and Rome
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 consider what it means: From 7 to 8 A.M. arithmetic, from 8 to
 Geography, arithmetic, everything must be employed so that
 certain amount of arithmetic. Two or three months are to be
 devoted to teaching arithmetic in the forenoon. Not a plan of
 study that contains everything jumbled up but arithmetic for an
 imagine: Religion, arithmetic, geography, drawing, singing, one
 Title: Education as a Social Problem: Lecture IV: Education as a Problem Involving the Training of Teachers
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 arithmetic, for instance, mechanical aids to calculating are
 Title: Karma: Lecture II
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 arithmetic, I beg you just to consider what all of that would
 Title: Influence of Spiritual Beings Upon Man: Lecture IX
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 all truths, the arithmetical, geometrical, are found inwardly, and yet
 Title: Presence of the Dead: Lecture One: Understanding the Spiritual World (Part One)
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 often have, of sitting in school, trying to work out an arithmetic
 know for sure. When we do arithmetic, for example, we follow certain
 Title: Building Stones: Lecture Seven
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 astronomy, arithmetic and music. The achievements of Plato,
 Title: Astronomy Course: Lecture I
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 it; one ought really to bring Arithmetic or Geometry into all
 Title: Astronomy Course: Lecture IV
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 Title: Astronomy Course: Lecture V
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 arithmetical figures, we are led to incommensurable
 Title: Astronomy Course: Lecture XII
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 out a very neat arithmetical result. Work out the resultant
 Title: Astronomy Course: Lecture XV
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 of our system we come to incommensurable numbers. Arithmetic
 Title: Astronomy Course: Lecture XVIII
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 certain curves — and arithmetical formulae. Yet as we
 Title: Young Doctors Course: Easter Course: Lecture I
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 reality, with geometry and arithmetic. But if we want to go
 Title: Origin and Destination of Humanity: Lecture IV: Theosophy and Darwin
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 of food increases slowly in arithmetic progression, like 1  2  3 
 Title: Gospel of Matthew: Lecture I
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 usefully approach the history of arithmetic who has no
 knowledge of arithmetic. In other cases it is universal to
 Title: Gospel of Matthew: Lecture III
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 the inventor of arithmetic — though this statement must
 arithmetic is preeminently the science of physical thought.
 Arithmetic, on account of its inner certainty, approaches
 of arithmetic. He must be regarded as the man in whom the
 Title: Universal Human: Lecture One: Individuality and the GroupSoul
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 cannot do arithmetic, human beings cannot do arithmetic. When the
 Title: Universal Human: Lecture Two: The God Within and the God of Outer Revelation
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 called the discoverer of arithmetic, that is, of the capability to
 Title: Social Basis For Primary and Secondary Education: Lecture I
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 Then the teacher will not just teach reading, arithmetic or drawing; he
 bound up with it. Whereas everything relating to arithmetic and geography
 concentrated in the faculty of arithmetic. But just think how it is when
 Title: Social Basis For Primary and Secondary Education: Lecture III
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 arithmetic, then Latin, then there may follow religious instruction.
 receive instruction in arithmetic. At that age arithmetic must be the
 consider how much arithmetic is to be given a human being at any definite
 Title: Deeper Secrets: Lecture II
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 of arithmetic. The fundamental trend and character of his thinking led
 Title: Driving Force: Lecture VII
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 indifference to arithmetic shown by grown men. But it is a
 man, and are simply arithmetical methods. These methods of
 Title: History of the Middle Ages: Lecture VI: Culture of the Middle Ages
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 sciences were: Geometry, Arithmetic, Astronomy and Music.
 science of space. Arithmetic is a higher form of counting.
The
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The e.Librarian:
elibrarian@elib.com
