Choice Sequences and the Continuum

Erkenntnis 87 (2):517-534 (2020)
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Abstract

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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10.1007/s10670-019-00205-3

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References found in this work

Science Without Numbers: A Defence of Nominalism.Hartry H. Field - 1980 - Princeton, NJ, USA: Princeton University Press.
Past, present and future.Arthur N. Prior - 1967 - Oxford,: Clarendon P..
Past, Present and Future.Arthur N. Prior - 1967 - Oxford, GB: Oxford University Press.
Over de grondslagen der wiskunde..L. E. J. Brouwer - 1907 - Leipzig,: Maas & van Suchtelen.
Intuitionism and Formalism.L. E. J. Brouwer - 1913 - Bulletin of the American Mathematical Society 20:81-96.

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