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Titlebook: Euclid‘s Heritage. Is Space Three-Dimensional?; Peter Janich Book 1992 Springer Science+Business Media B.V. 1992 Euclid.antiquity.art.conc

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Grounding Three-Dimensionality in Motionfigures. It is rather improbable that the beginnings of such an idea go back to ancient geometry where on one hand, as mentioned above, the three-dimensionality of spatial forms was taken for granted but, on the other hand, it was accepted by way of proof in plane geometry to flip a figure out of th
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The Biological and Perception-Theoretical Approachessis for the three-dimensionality of space — at least to the extent that they do not belong to those rather ridiculous groups of approaches which play around with numerical speculations — through reference to properties of the outer world, of bodies and their motions, to forces in effect between bodi
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Euclid’s Heritage: A Review of the History of the Problemeceding presentation (which is not even intended to be complete, but merely representative), one of two assumptions suggest themselves. Either it is a very fundamental problem concerning an important principle, or it deals with an illusionary problem which is difficult to recognize. After all, even
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Knowledge about Spaces spherical” and “the Eiffel Tower stands in Paris.” The grammatical correctness of the three sentences and our familiarity in ordinary language with such sentences suggests to us that space is an object in the same way that the moon is a natural object and the Eiffel Tower is an artificial object.
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1566-659X ave thought of bodies occupying parts of this space (including our own bodies), the space of our practical orientations (our ‘moving­ abouts‘), as having three dimensions. Bodies have volume specified by measures of length, breadth and height. But how do we know that the space we live in has just th
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