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The Borel Hierarchy Theorem from Brouwer's intuitionistic perspective

Published online by Cambridge University Press:  12 March 2014

Wim Veldman
Wim Veldman*
Affiliation:
Institute for Mathematics, Astrophysics and Particle Physics Faculty of Science, Radboud University Nijmegen Postbus9044, 6500 Kd Nijmegen, The Netherlands, E-mail: W.Veldman@science.ru.nl
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Abstract

In intuitionistic analysis, Brouwer's Continuity Principle implies, together with an Axiom of Countable Choice, that the positively Borel sets form a genuinely growing hierarchy: every level of the hierarchy contains sets that do not occur at any lower level.

Type
Research Article
Information
The Journal of Symbolic Logic , Volume 73 , Issue 1 , March 2008 , pp. 1 - 64
Copyright
Copyright © Association for Symbolic Logic 2008

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References

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