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Metamathematische Aspekte der Hausdorffschen Mengenlehre

In: Felix Hausdorff zum Gedächtnis

Author

Listed:
  • Peter Koepke

    (Universität Bonn, Mathematisches Institut)

Abstract

Zusammenfassung Felix Hausdorff hat in seinen mengentheoretischen Untersuchungen zahlreiche Fragen berührt, die von der üblichen Axiomatisierung der Mengenlehre unabhängig sind, d.h. in dieser weder beweisbar noch widerlegbar sind. Am Beispiel der Cantorschen Kontinuumshypothese geben wir einen Eindruck von Unabhängigkeitsbeweisen mit inneren Modellen und der Erzwingungsmethode. Unabhängigkeitsresultate künnen als Absage an ein absolutes mengentheoretisches Universum interpretiert werden, in erstaunlicher Analogie zur Hausdorffschen Erkenntnistheorie des Chaos in kosmischer Auslese.

Suggested Citation

  • Peter Koepke, 1996. "Metamathematische Aspekte der Hausdorffschen Mengenlehre," Springer Books, in: Egbert Brieskorn (ed.), Felix Hausdorff zum Gedächtnis, pages 71-106, Springer.
    • Handle: RePEc:spr:sprchp:978-3-322-80276-7_4
    DOI: 10.1007/978-3-322-80276-7_4
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