A logical look at characterizations of geometric transformations under mild hypotheses (Q5935915)
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scientific article; zbMATH DE number 1611998
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | A logical look at characterizations of geometric transformations under mild hypotheses |
scientific article; zbMATH DE number 1611998 |
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A logical look at characterizations of geometric transformations under mild hypotheses (English)
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28 June 2001
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The author analyses several logical reformulations of characterizations of geometric transformations under mild hypotheses in geometries with orthogonality or circles, all in first-order language. In particular, model theoretical counterparts of characterization theorems are evolved and proved.
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Euclidean geometry
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Miquelian Möbius geometry
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characterization of geometric transformations under mild hypotheses
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model theoretic counterpart
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orthogonality
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circles
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