Logic from space |
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Authors: | Bernd Schmeikal-Schuh |
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Affiliation: | 1. Lehrstuhl für Soziologie und Sozialanthropologie, Universit?t Erlangen-Nürnberg, Germany
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Abstract: | This is one of the essential results of an inquiry into spacetime-sociology which was outlined and begun with in a research memorandum of the Institute for Advanced Studies, Vienna (IHS) 1992. It contains a proof that classical logic, or Boole's laws of thought, can be derived from an original concept of orientation that has emerged in human cognition during paleolithic worship activity. The original concept of orientation represents a genetic structure of orientation in both physical and social space. This is of a considerable importance. Because the original concept of orientation in its exact mathematical form is a symmetry in space, strictly a subgroup of the rotation-groupD3. Thus it belongs to the fields of mathematics and physics entirely and has nothing to do with logistics, linguistics or sociology. On the other hand binary logic is an important aspect of language and thought and seems to have little in common with the perception of objects in space. So there is a connection between logic and orientation in space. Mathematically this is represented by an isomorphism between the spatial symmetryD2d of the Mandala of the quartered circle and the symmetry of classical logic. |
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