Relative lawlessness in intuitionistic analysis
Joan Rand Moschovakis · Journal of Symbolic Logic · 1987
Abstract 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 of lawlike sequences. For countable , the class of -lawless sequences is comeager in the sense of Baire. If a particular well-ordered class of sequences, generated by iterating definability over the continuum, is countable then the -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.