GA 324a
The Fourth Dimension. Mathematics and Reality
Die vierte Dimension. Mathematik und Wirklichkeit
Listener's notes from lectures on multi-dimensional space and from question answers on mathematical topics.
Six connected lectures, Berlin 24 March to 7 June 1905, two individual lectures, Berlin 7 Nov. 1905 and 22 Oct. 1908. Question answers from 1904 to 1922.
The first part of this volume is a series of lectures on the problem of the real existence of a fourth dimension, which was much discussed in the cultural world at the time. A large part of it is devoted to the geometry of four-dimensional bodies. The more extensive second part contains answers to questions on topics such as projective geometry, the speed of light, fluid geometries between the original image and the image, positive and negative numbers, imaginary and super-imaginary numbers, the third Copernican law and, in particular, Albert Einstein's theory of relativity.
Literature
German
- Rudolf Steiner: Die vierte Dimension, GA 324a (1995), ISBN 3-7274-3245-4 English: rsarchive.org German: pdf pdf(2) html mobi epub archive.org
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References to the work of Rudolf Steiner follow Rudolf Steiner's Collected Works (CW or GA), Rudolf Steiner Verlag, Dornach/Switzerland, unless otherwise stated.
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