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He reached under the edge of his desk and pulled a little switch that made the galactic map on the wall light up in three-dimensional depth, then he swung around in his chair so he could see it. Eight thousand planets that his race had conquered, eight thousand planets hundreds of light-years apart.
We owe to Kant the release from the rule of these ideas as essential ideas. Our modern psychology is alive to the possibility of Being that has no extension in space at all, even as our speculative geometry can entertain the possibility of dimensions fourth, fifth, Nth dimensions outside the three-dimensional universe of our experience.
The world which we have so far constructed is a world of six dimensions, since it is a three-dimensional series of perspectives, each of which is itself three-dimensional. We have now to explain the correlation between the perspective space and the various private spaces contained within the various perspectives severally.
Thus philosophy, mathematics, and physical science agree that space and time cannot be entities, but are conceptions of the human mind in its relation to nature. But what does this mean, and what conclusions follow from it? The space of our conception is three-dimensional that is, extended in three directions.
Three is pre-eminently the number of architecture, because it is the number of space, which for us is three-dimensional, and of all the arts architecture is most concerned with the expression of spatial relations. The division of a composition into three related parts is so universal that it would seem to be the result of an instinctive action of the human mind.
Perhaps he is like Lloyd George, who is not logical but achieves his successes through two or three senses which ordinary men have not; however, unlike Lloyd George, he cannot simulate logic and, after jumping to his conclusions, reduce them to the understanding of the three-dimensional mind.
Imagine a being free of a three-dimensional world trying to converse with a being still limited to a two-dimensional world, and we have a clew to what I think may have happened after the crucifixion of Jesus. The three-dimensional body would behave in a manner altogether unaccountable to the two-dimensional watcher.
Being projected in the air before them was a three-dimensional moving, talking picture the report of the sole survivor of the warship that had attacked the Skylark II. In exact accordance with the facts as the engineer knew them, the details of the battle and complete information concerning the conquerors were shown.
Then, if we conceive of clairvoyance as a transcending by consciousness of our three-dimensional space, prevision and post-vision would be logically possible as corresponding to the positive and negative of the fourth dimension. This may be made clearer by the aid of a homely illustration. Suppose you are standing on a street corner, watching a procession pass.
If there are such higher-dimensional thought-forms, our normal consciousness, limited to a world of three dimensions, can apprehend only their three-dimensional aspects, and these not simultaneously, but successively that is, in time.
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