Choice Sequences and the Continuum.

According to L.E.J. Brouwer, there is room for non-definable real numbers within the intuitionistic ontology of mental constructions. That room is allegedly provided by freely proceeding choice sequences, i.e., sequences created by repeated free choices of elements by a creating subject in a potenti...

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Publicado en:Erkenntnis Vol. 87; no. 2; pp. 517 - 535
Autor principal: Hansen, Casper Storm
Formato: Artículo
Publicado: Springer Nature Apr2022
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Acceso en línea:Ver este registro en EBSCOhost
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        atl: Choice Sequences and the Continuum.
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        au: Hansen, Casper Storm
        affil: The Polonsky Academy for Advanced Study in the Humanities and Social Sciences, The Van Leer Jerusalem Institute, 43 Jabotinsky Street, 9214116, Jerusalem, Israel
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        Infinite processes
        Real numbers
        Ontology
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          Infinite processes
          Real numbers
          Ontology
      ab: According to L.E.J. Brouwer, there is room for non-definable real numbers within the intuitionistic ontology of mental constructions. That room is allegedly provided by freely proceeding choice sequences, i.e., sequences created by repeated free choices of elements by a creating subject in a potentially infinite process. Through an analysis of the constitution of choice sequences, this paper argues against Brouwer's claim.
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