Abstract
The undefinability in question is proved by constructing a bijection of lines preserving perpendicularity but not intersection.
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References
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Kramer, R. The undefinability of intersection from perpendicularity in the three-dimensional Euclidean geometry of lines. Geom Dedicata 46, 207–210 (1993). https://doi.org/10.1007/BF01264919
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DOI: https://doi.org/10.1007/BF01264919