The Fourth Dimension: Sacred Geometry, Alchemy & Mathematics (Cw 324a)

by Rudolf Steiner, David Booth (Introduction), Renatus Ziegler (Other), Catherine E Creeger (Translator)

Overview

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).

Product Details

ISBN-13:	9780880104722
Publisher:	Steiner Books
Publication date:	06/01/2001
Series:	Sacred Geometry, Alchemy, and Mathematics
Pages:	256
Product dimensions:	6.14(w) x 9.30(h) x 0.66(d)

About the Author

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.