Remarks, du côté de chez Tarski, on symmetric ternary relations

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4 Scopus citations


We point out that the results in [12] are the model-theoretic counterpart of results established syntactically in [3] and [10], and that Martin's theorem for the Euclidean 3- or higher-dimensional case, established in [5], does not depend on the Beckman-Quarles theorem, and can be rephrased as a result about axiomatizability and definability.

Original languageEnglish (US)
Pages (from-to)94-99
Number of pages6
JournalJournal of Geometry
Issue number1-2
StatePublished - Mar 2006


  • Definability
  • Equilaterality
  • Euclidean geometry
  • Pieri's relation

ASJC Scopus subject areas

  • Geometry and Topology


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