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Switch to: References
Citations of:
The ritual origin of geometry
Archive for History of Exact Sciences 1 (5):488-527 (1961)
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The “origins” of (geometric) space is examined from the perspective of the so-called “conceptual space” or “semantic space”. Semantic space is characterized by its fundamental “locality” that generates an “implicit” mode of geometrizing. This view is examined from within three perspectives. First, the role that various diagrammatic entities play in the everyday life and pragmatic activities of selected ethnic groups is illustrated. Secondly, it is shown how conceptual spaces are fundamentally linked to the meaning effects of particular natural languages and (...) |
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The development of ancient civilizations and their achievements in sciences such as mathematics and astronomy are well researched for script-using civilizations. On the basis of oral tradition and mnemonic artifacts illiterate ancient civilizations were able to attain an adequate level of knowledge. The Neolithic and Bronze Age earthworks and circles are such mnemonic artifacts. Explanatory models are given for the shape of the stone formations and the ditch of Stonehenge reflecting the circular and specific non-circular shapes of these structures. The (...) |
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Examples of possible theological influences upon the development of mathematics are indicated. The best known connection can be found in the realm of infinite sets treated by us as known or graspable, which constitutes a divine-like approach. Also the move to treat infinite processes as if they were one finished object that can be identified with its limits is routine in mathematicians, but refers to seemingly super-human power. For centuries this was seen as wrong and even today some philosophers, for (...) |
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L'étude des mathématiques de la préhistoire ne peut être fondée uniquement sur les documents archéologiques bruts, sous peine de stérilité ; elle a tout intérêt à les mettre en situation grâce au comparatisme ethnographique, selon lequel les sociétés primitives actuelles ou récemment disparues nous renseignent sur nos ancêtres de la préhistoire. D'abord utilisée spontanément par quelques historiens des mathématiques, cette méthode est de nos jours rejetée en principe par le courant récent des ethnomathématiciens. Il s'agit de montrer par quelques exemples (...) |
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