Axiom systems implying infinity in the foundations of geometry

Victor Pambuccian, Rolf Struve

Research output: Contribution to journalArticlepeer-review

1 Scopus citations


This is a survey of axiom systems for fragments of naturally encountered geometries which are just barely strong enough to imply that there are infinitely many objects in the universe of any of its models.

Original languageEnglish (US)
Pages (from-to)109-120
Number of pages12
JournalBeitrage zur Algebra und Geometrie
Issue number1
StatePublished - Mar 2021


  • Axiom system
  • Hyperbolic geometry
  • Infinity
  • Metric planes
  • Ordered geometry

ASJC Scopus subject areas

  • Algebra and Number Theory
  • Geometry and Topology


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