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 this new perspective with words, diagrams, analogies, and examples of many kinds. In doing so, he continues his life-long project of demonstrating that our objective, everyday thinking is the lowest rung of a ladder that reaches up to literally infinite heights. Translated into English (from GA 324a) for the first time, these talks and the other selections on many mathematical topics bring us to tantalizing new…mehr
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 this new perspective with words, diagrams, analogies, and examples of many kinds. In doing so, he continues his life-long project of demonstrating that our objective, everyday thinking is the lowest rung of a ladder that reaches up to literally infinite heights. Translated into English (from GA 324a) for the first time, these talks and the other selections on many mathematical topics bring us to tantalizing new horizons of awareness. They discuss: -- The relationship between geometric studies and developing direct perception of spiritual realities -- Constructing a fourth-dimensional hypercube -- Creating dimensions through movement -- Six dimensions of the self-aware human being -- The relationship of the Trinity and the angelic hierarchies to physical space
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. At the beginning of the twentieth century, he began to develop his early philosophical principles into an approach to systematic research into psychological and spiritual phenomena. Formally beginning his spiritual teaching career under the auspices of the Theosophical Society, Steiner came to use the term Anthroposophy (and spiritual science) for his philosophy, spiritual research, and findings. The influence of Steiner's multifaceted genius has led to innovative and holistic approaches in medicine, various therapies, philosophy, religious renewal, Waldorf education, education for special needs, threefold economics, biodynamic agriculture, Goethean science, architecture, and the arts of drama, speech, and eurythmy. In 1924, Rudolf Steiner founded the General Anthroposophical Society, which today has branches throughout the world. He died in Dornach, Switzerland.
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