The Mystery of Space a Study of the Hyperspace Movement in the Light of the Evo

Cover The Mystery of Space a Study of the Hyperspace Movement in the Light of the Evo
The Mystery of Space a Study of the Hyperspace Movement in the Light of the Evo
Robert T Browne
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352, et. Seq.
140 THE MYSTERY OF SPACE are reducible to the other dimensions they may lie in more than one dimension at the same time which after all is a fact. This only shows that qualitatively all three dimensions are the same and that any line outside of another can only repre- sent a dimension in the sense of direction from a given point or line, and we are entitled to assume as many dimensions as we please, all within three dimensions.
"This mode of treatment shows the source of the illus
...ion about the 'fourth dimension. ' The term in its generic import denotes commensurable quality and denotes only one such quality, so that the property supposed to determine non-Euclidean geometry must be qualitatively different from this, if its figures involve the necessary qualitative dif- ferentiation from Euclidean mathematics. But this would shut out the idea of 'dimension' as its basis which is contrary to the supposition. On the other hand, the term has a specific meaning which as different qualitatively from the generic includes a right to use the generic term to describe them differentially, but if used only quantitatively, that is, to express direction as it, in fact, does in these cases, involves the admission of the actual, not a supposititious, existence of a fourth dimension which again is contrary to the supposition of the non-Euclidean geometry.

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