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

Joan Rand Moschovakis
Occidental College
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
Keywords No keywords specified (fix it)
Categories (categorize this paper)
DOI 10.2307/2275909
Edit this record
Mark as duplicate
Export citation
Find it on Scholar
Request removal from index
Revision history

Download options

PhilArchive copy

Upload a copy of this paper     Check publisher's policy     Papers currently archived: 64,209
Through your library

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.

Add more references

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.

Add more citations

Similar books and articles

Similarity Among Nucleotides Sequences.Feng Shi & Zhongxi Mo - 2002 - Acta Biotheoretica 50 (2):95-99.
Spreads or Choice Sequences?H. C. M. De Swart - 1992 - History and Philosophy of Logic 13 (2):203-213.
Choice Sequences and Informal Rigour.A. S. Troelstra - 1985 - Synthese 62 (2):217 - 227.
Negationless Intuitionism.Enrico Martino - 1998 - Journal of Philosophical Logic 27 (2):165-177.
General Random Sequences and Learnable Sequences.C. P. Schnorr & P. Fuchs - 1977 - Journal of Symbolic Logic 42 (3):329-340.
Relative Lawlessness in Intuitionistic Analysis.Joan Rand Moschovakis - 1987 - Journal of Symbolic Logic 52 (1):68-88.


Added to PP index

Total views
21 ( #517,936 of 2,455,387 )

Recent downloads (6 months)
1 ( #449,037 of 2,455,387 )

How can I increase my downloads?


My notes