Δ3O-determinacy, comprehension and induction-Reference-Cited by-同舟云学术

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Δ3O-determinacy, comprehension and induction

Published:2007-06 Issue:2 Volume:72 Page:452-462
ISSN:0022-4812
Container-title:Journal of Symbolic Logic
language:en
Short-container-title:J. symb. log.

Author:

Medsalem Medyahya Ould,Tanaka Kazuyuki

Abstract

AbstractWe show that each of and proves -Det and that neither nor can be dropped. We also show that neither nor proves -Det. Moreover, we prove that none of and is provable in

Publisher

Cambridge University Press (CUP)

Subject

Logic,Philosophy

Reference12 articles.

1. Welch P. , Weak systems of determinacy and arithmetical quasi-inductive definitions, a preprint.

2. Tanaka K. , Descriptive set theory and subsystems of analysis, Ph.D. thesis, University of California, Berkeley, 1986.

3. Subsystems of Second Order Arithmetic

4. Bar induction and ω-model reflection;Gerhard;Annals of Pure and Applied Logic,1999

5. Higher set theory and mathematical practice

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