Journal of Symbolic Logic 59 (3):813-829 (1994)

Authors
Joan Rand Moschovakis
Occidental College
Abstract
In the author's Relative lawlessness in intuitionistic analysis [this JOURNAL. vol. 52 (1987). pp. 68-88] and An intuitionistic theory of lawlike, choice and lawless sequences [Logic Colloquium '90. Springer-Verlag. Berlin. 1993. pp. 191-209] a notion of lawless ness relative to a countable information base was developed for classical and intuitionistic analysis. Here we simplify the predictability property characterizing relatively lawless sequences and derive it from the new axiom of closed data (classically equivalent to open data) together with a natural principle of invariance under finite translation. We characterize relative lawlessness in terms of a notion of forcing. Finally, we study relative lawlessness on an arbitrary fan and show that the collection of lawless binary sequences (which is comeager in the sense of Baire) has probability measure zero. The reasoning is predominantly constructive
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DOI 10.2307/2275909
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References found in this work BETA

Introduction to Metamathematics.H. Rasiowa - 1954 - Journal of Symbolic Logic 19 (3):215-216.
Formal Systems for Some Branches of Intuitionistic Analysis.G. Kreisel - 1970 - Annals of Mathematical Logic 1 (3):229.
An Interpretation of Intuitionistic Analysis.D. van Dalen - 1978 - Annals of Mathematical Logic 13 (1):1.
Choice Sequences. A Chapter of Intuitionistic Mathematics.Richard Vesley - 1979 - Journal of Symbolic Logic 44 (2):275-276.
Constructivism in Mathematics, An Introduction.A. Troelstra & D. Van Dalen - 1991 - Tijdschrift Voor Filosofie 53 (3):569-570.

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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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