8 lectures, Berlin, May 17, 1905 – October 22, 1908 (CW 324a), plus Q&A sessions
Anything dead tends to remain within the three ordinary dimensions, while anything living constantly transcends them. —Rudolf Steiner
“Part of the charm of the fourth dimension is that it is a geometrical concept that interests popular culture as much as it does mathematicians. In both its popular and scientific applications, the fourth dimension has had both gnostic and agnostic exponents.” —From the introduction
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:
- The relationship between geometric studies and developing direct perception of spiritual realities
- 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
Cover Image credit: Light refracted through a small sample of water while under vibration. From a series of experiments by Dr. Hans Jenny in Cymatics. The photo is from the book Cymatics: A Study of Wave Phenomena and Vibration by Dr. Hans Jenny, published by in 2001 by MACROmedia (used by permission).
The Fourth Dimension is a translation from German of Die vierte Dimension Mathematik und Wirklichkeit (GA 324a).