6 lectures, Berlin, March 24-June 7, 1905;
2 lectures, Nov. 7, 1905 & Oct. 22, 1908;
Questions & Answers, 1904-1922 (CW 324a)
The point, line, plane and solid objects represent the first three dimensions, but a kind of reversal of space is involved in the ascent to a fourth dimension. Steiner leads us to the brink of this new perspective--as nearly as it can be done with words, diagrams, analogies, and examples of many kinds. In doing so, he continues his lifelong project of demonstrating that our objective, everyday thinking is the lowest rung of a ladder that reaches up to literally infinite heights.
The talks in this series and the selections from the question-and-answer sessions on many mathematical topics over the years are translated into English for the first time in The Fourth Dimension. They bring us to tantalizing new horizons of awareness where Steiner hoped to lead his listeners:
Topics include:
∞ The relationship between geometric studies and the development of direct spiritual perception
∞ How to construct a fourth-dimensional hypercube
∞ The six dimensions of the self-aware human being
∞ Problems with the theory of relativity
∞ The Trinity and angelic hierarchies and their relationship to physical space
∞ The dimensional aspect of the spiritual being encountered by Moses on Mt. Sinai
Drawings in the text: The sketches of figures that Rudolf Steiner drew on the board during the lectures are available only in the form in which they were preserved by the note takers. Reconstructions of the drawings for this volume were done by Renatus Ziegler.
This volume is a translation from German of Die vierte Dimension Mathematik und Wirklichkeit (GA 324a).
Les informations fournies dans la section « Synopsis » peuvent faire référence à une autre édition de ce titre.
Rudolf Steiner (b. Rudolf Joseph Lorenz Steiner, 1861-1925) was born in the small village of Kraljevec, Austro-Hungarian Empire (now in Croatia), where he grew up. As a young man, he lived in Weimar and Berlin, where he became a well-published scientific, literary, and philosophical scholar, known especially for his work with Goethe's scientific writings. Steiner termed his spiritual philosophy anthroposophy, meaning "wisdom of the human being." As an exceptionally developed seer, he based his work on direct knowledge and perception of spiritual dimensions. He initiated a modern, universal "spiritual science" that is accessible to anyone willing to exercise clear and unbiased thinking. From his spiritual investigations, Steiner provided suggestions for the renewal of numerous activities, including education (general and for special needs), agriculture, medicine, economics, architecture, science, philosophy, Christianity, and the arts. There are currently thousands of schools, clinics, farms, and initiatives in other fields that involve practical work based on the principles Steiner developed. His many published works feature his research into the spiritual nature of human beings, the evolution of the world and humanity, and methods for personal development. He wrote some thirty books and delivered more than six thousand lectures throughout much of Europe. In 1924, Steiner founded the General Anthroposophical Society, which today has branches around the world.
Les informations fournies dans la section « A propos du livre » peuvent faire référence à une autre édition de ce titre.
Vendeur : BooksRun, Philadelphia, PA, Etats-Unis
Paperback. Etat : Fair. The item might be beaten up but readable. May contain markings or highlighting, as well as stains, bent corners, or any other major defect, but the text is not obscured in any way. N° de réf. du vendeur 0880104724-7-1-13
Quantité disponible : 1 disponible(s)
Vendeur : Goodwill of Colorado, COLORADO SPRINGS, CO, Etats-Unis
Etat : very_good. Item may have minor cosmetic defects marks, wears, cuts, bends, crushes on the cover, spine, pages or dust cover. Shrink wrap, dust covers, or boxed set case may be missing. Item may contain remainder marks on outside edges, which should be noted in Product Details. Item may be missing bundled media. N° de réf. du vendeur COLV.0880104724.VG
Quantité disponible : 1 disponible(s)
Vendeur : Greenworld Books, Arlington, TX, Etats-Unis
Etat : like_new. Fast Free Shipping â" Excellent condition book with clean cover and pages. Barely handled, with minimal wear. An outstanding copy, close to enjoy! N° de réf. du vendeur GWV.0880104724.LN
Quantité disponible : 1 disponible(s)
Vendeur : Bookmans, Tucson, AZ, Etats-Unis
Paperback. Etat : Good. . Satisfaction 100% guaranteed. N° de réf. du vendeur mon0002766675
Quantité disponible : 1 disponible(s)
Vendeur : ThriftBooks-Atlanta, AUSTELL, GA, Etats-Unis
Paperback. Etat : Good. No Jacket. Pages can have notes/highlighting. Spine may show signs of wear. ~ ThriftBooks: Read More, Spend Less. N° de réf. du vendeur G0880104724I3N00
Quantité disponible : 1 disponible(s)
Vendeur : Veronica's Books, Gig Harbor, WA, Etats-Unis
Paperback. Etat : Near Fine. 238pp. Tight copy. N° de réf. du vendeur 064570
Quantité disponible : 1 disponible(s)
Vendeur : Lakeside Books, Benton Harbor, MI, Etats-Unis
Etat : New. Brand New! Not Overstocks or Low Quality Book Club Editions! Direct From the Publisher! We're not a giant, faceless warehouse organization! We're a small town bookstore that loves books and loves it's customers! Buy from Lakeside Books! N° de réf. du vendeur OTF-S-9780880104722
Quantité disponible : Plus de 20 disponibles
Vendeur : GreatBookPrices, Columbia, MD, Etats-Unis
Etat : New. N° de réf. du vendeur 132187-n
Quantité disponible : Plus de 20 disponibles
Vendeur : BargainBookStores, Grand Rapids, MI, Etats-Unis
Paperback or Softback. Etat : New. The Fourth Dimension. Book. N° de réf. du vendeur BBS-9780880104722
Quantité disponible : 5 disponible(s)
Vendeur : Southampton Books, Sag Harbor, NY, Etats-Unis
Paperback. Etat : Like New. First Edition. First Edition, Second Printing. Not price-clipped. Published by Anthroposophic Press, 2001. Octavo. Paperback. Book is like new with light shelf wear. 100% positive feedback. 30 day money back guarantee. NEXT DAY SHIPPING! Excellent customer service. Please email with any questions. All books packed carefully and ship with free delivery confirmation/tracking. All books come with free bookmarks. Ships from Sag Harbor, New York. N° de réf. du vendeur 366129
Quantité disponible : 1 disponible(s)