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'''Space''' ({{Latin|spatium}}; {{HeS|חלל}} ''chalal'') is, from a [[spiritual-scientific]] point of view, a product of the highest [[Trinity]], which itself cannot be imagined spatially. The external, geometrically descriptive '''Euclidean space''', i.e. our usual visual space, is three-dimensional. However, [[mathematics]] is also able to precisely grasp higher-dimensional, even infinite-dimensional spaces, which elude the sensory imagination, through pure thought by defining space as an abstract set of mathematical objects with a certain mathematical structure, for example as a [[w:vector space|vector space]] or as a [[w:topological space|topological space]] or as a [[w:manifold|manifold]]. [[Rudolf Steiner]] himself often spoke about the spiritual significance of the [[fourth dimension]] {{GZ||324a}}.
'''Space''' ({{Latin|spatium}}; {{HeS|חלל}} ''chalal'') is, from a [[spiritual-scientific]] point of view, a product of the highest [[Trinity]], which itself cannot be imagined spatially. The external, geometrically descriptive [[w:Euclidean space|Euclidean space]], i.e. our usual visual space, is three-dimensional. However, [[mathematics]] is also able to precisely grasp higher-dimensional, even infinite-dimensional spaces, which elude the sensory imagination, through pure thought by defining space as an abstract set of mathematical objects with a certain mathematical structure, for example as a [[w:vector space|vector space]] or as a [[w:topological space|topological space]] or as a [[w:manifold|manifold]]. [[Rudolf Steiner]] himself often spoke about the spiritual significance of the [[fourth dimension]] {{GZ||324a}}.


==Literature==
==Literature==

Latest revision as of 22:48, 13 February 2022

Space (Latin: spatium; Hebrew: חלל chalal) is, from a spiritual-scientific point of view, a product of the highest Trinity, which itself cannot be imagined spatially. The external, geometrically descriptive Euclidean space, i.e. our usual visual space, is three-dimensional. However, mathematics is also able to precisely grasp higher-dimensional, even infinite-dimensional spaces, which elude the sensory imagination, through pure thought by defining space as an abstract set of mathematical objects with a certain mathematical structure, for example as a vector space or as a topological space or as a manifold. Rudolf Steiner himself often spoke about the spiritual significance of the fourth dimension (Lit.:GA 324a).

Literature
References to the work of Rudolf Steiner follow Rudolf Steiner's Collected Works (CW or GA), Rudolf Steiner Verlag, Dornach/Switzerland, unless otherwise stated.
Email: verlag@steinerverlag.com URL: www.steinerverlag.com.
Index to the Complete Works of Rudolf Steiner - Aelzina Books
A complete list by Volume Number and a full list of known English translations you may also find at Rudolf Steiner's Collected Works
Rudolf Steiner Archive - The largest online collection of Rudolf Steiner's books, lectures and articles in English.
Rudolf Steiner Audio - Recorded and Read by Dale Brunsvold
steinerbooks.org - Anthroposophic Press Inc. (USA)
Rudolf Steiner Handbook - Christian Karl's proven standard work for orientation in Rudolf Steiner's Collected Works for free download as PDF.
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