Brouwer and cardinalities

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This note is a somewhat personal account of a paper that L.E.J. Brouwer published in 1908 and that dealt with the possible cardinalities of subsets of the continuum. That paper is of interest because it represents the first time that Brouwer presented his ideas on foundations in an international forum. I found Brouwer's notions and arguments at times hard to grasp if not occasionally perplexing. I hope that this note contributes to a further discussion of the definitions and reasonings as presented in Brouwer's paper.

Original languageEnglish
Pages (from-to)1555-1564
Number of pages10
JournalIndagationes Mathematicae
Issue number6
Publication statusPublished - 2018

Bibliographical note

Virtual Special Issue - L.E.J. Brouwer after 50 years

Green Open Access added to TU Delft Institutional Repository ‘You share, we take care!’ – Taverne project Otherwise as indicated in the copyright section: the publisher is the copyright holder of this work and the author uses the Dutch legislation to make this work public.


  • Cardinalities
  • Closed set
  • Continuum
  • L.E.J. Brouwer


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