On the conservativity of the axiom of choice over set theory

Archive for Mathematical Logic 50 (7-8):777-790 (2011)
  Copy   BIBTEX


We show that for various set theories T including ZF, T + AC is conservative over T for sentences of the form \documentclass[12pt]{minimal} \usepackage{amsmath} \usepackage{wasysym} \usepackage{amsfonts} \usepackage{amssymb} \usepackage{amsbsy} \usepackage{mathrsfs} \usepackage{upgreek} \setlength{\oddsidemargin}{-69pt} \begin{document}$${\forall x \exists! y}$$\end{document}A(x, y) where A(x, y) is a Δ0 formula.



    Upload a copy of this work     Papers currently archived: 93,127

External links

Setup an account with your affiliations in order to access resources via your University's proxy server

Through your library

Similar books and articles

A remark on hereditarily nonparadoxical sets.Péter Komjáth - 2016 - Archive for Mathematical Logic 55 (1-2):165-175.
Isomorphic and strongly connected components.Miloš S. Kurilić - 2015 - Archive for Mathematical Logic 54 (1-2):35-48.
Some consequences of Rado’s selection lemma.Marianne Morillon - 2012 - Archive for Mathematical Logic 51 (7-8):739-749.
Minimal elementary end extensions.James H. Schmerl - 2017 - Archive for Mathematical Logic 56 (5-6):541-553.
Relatively computably enumerable reals.Bernard A. Anderson - 2011 - Archive for Mathematical Logic 50 (3-4):361-365.


Added to PP

24 (#679,414)

6 months
3 (#1,046,015)

Historical graph of downloads
How can I increase my downloads?

Citations of this work

No citations found.

Add more citations

References found in this work

Admissible Sets and Structures.Jon Barwise - 1978 - Studia Logica 37 (3):297-299.
Definability and Computability.Yuri L. Ershov - 1998 - Studia Logica 61 (3):439-441.

Add more references