Journal of Symbolic Logic

The Borel Hierarchy Theorem from Brouwer’s intuitionistic perspective

Wim Veldman

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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.

Article information

Source
J. Symbolic Logic, Volume 73, Issue 1 (2008), 1-64.

Dates
First available in Project Euclid: 16 April 2008

Permanent link to this document
https://projecteuclid.org/euclid.jsl/1208358742

Digital Object Identifier
doi:10.2178/jsl/1208358742

Mathematical Reviews number (MathSciNet)
MR2387932

Zentralblatt MATH identifier
1148.03039

Citation

Veldman, Wim. The Borel Hierarchy Theorem from Brouwer’s intuitionistic perspective. J. Symbolic Logic 73 (2008), no. 1, 1--64. doi:10.2178/jsl/1208358742. https://projecteuclid.org/euclid.jsl/1208358742


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