Relative lawlessness in intuitionistic analysis

Journal of Symbolic Logic 52 (1):68-88 (1987)
This paper introduces, as an alternative to the (absolutely) lawless sequences of Kreisel and Troelstra, a notion of choice sequence lawless with respect to a given class D of lawlike sequences. For countable D, the class of D-lawless sequences is comeager in the sense of Baire. If a particular well-ordered class F of sequences, generated by iterating definability over the continuum, is countable then the F-lawless, sequences satisfy the axiom of open data and the continuity principle for functions from lawless to lawlike sequences, but fail to satisfy Troelstra's extension principle. Classical reasoning is used
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DOI 10.2307/2273863
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Analyzing Realizability by Troelstra's Methods.Joan Rand Moschovakis - 2002 - Annals of Pure and Applied Logic 114 (1-3):203-225.
A Classical View of the Intuitionistic Continuum.Joan Rand Moschovakis - 1996 - Annals of Pure and Applied Logic 81 (1-3):9-24.

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