Journal of Symbolic Logic 52 (1):68-88 (1987)

Joan Rand Moschovakis
Occidental College
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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References found in this work BETA

Formal Systems for Some Branches of Intuitionistic Analysis.G. Kreisel - 1970 - Annals of Mathematical Logic 1 (3):229.
Choice Sequences. A Chapter of Intuitionistic Mathematics.Richard Vesley - 1979 - Journal of Symbolic Logic 44 (2):275-276.
Analysing Choice Sequences.A. S. Troelstra - 1983 - Journal of Philosophical Logic 12 (2):197 - 260.
Brouwer's Cambridge Lectures on Intuitionism.R. J. Grayson - 1983 - Journal of Symbolic Logic 48 (1):214-215.

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Citations of this work BETA

A Classical View of the Intuitionistic Continuum.Joan Rand Moschovakis - 1996 - Annals of Pure and Applied Logic 81 (1-3):9-24.
Analyzing Realizability by Troelstra's Methods.Joan Rand Moschovakis - 2002 - Annals of Pure and Applied Logic 114 (1-3):203-225.

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