Addendum and corrigendum Choice Principles in Hyperuniverses Annals of Pure and Applied Logic 77 (1996) 35–52

&
Annals of Pure and Applied Logic 92 (2):211-214 (1998)
  Copy   BIBTEX

Abstract

The proof of Lemma 5 in our paper “Choice Principles in Hyperuniverses” [3], contains an error. In the present note we show that the statement of that lemma is false and hence the Axiom of Choice fails in all κ-hyperuniverses, for uncountable κ. However, a weaker version of Lemma 5 can be proved, which implies that the Linear Ordering Principle holds in all κ-metric κ-hyperuniverses

Categories

Keywords

Reprint years

DOI

10.1016/s0168-0072(97)00079-1

Other Versions

No versions found

Links

PhilArchive



    Upload a copy of this work     Papers currently archived: 100,154

External links

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

Through your library

My notes

Similar books and articles

Choice principles in hyperuniverses.Marco Forti & Furio Honsell - 1996 - Annals of Pure and Applied Logic 77 (1):35-52.
On measurable cardinals violating the continuum hypothesis.Moti Gitik - 1993 - Annals of Pure and Applied Logic 63 (3):227-240.
On supercompactness and the continuum function.Brent Cody & Menachem Magidor - 2014 - Annals of Pure and Applied Logic 165 (2):620-630.
Reflection Principles and Second-Order Choice Principles with Urelements.Bokai Yao - 2022 - Annals of Pure and Applied Logic 173 (4):103073.
Combinatorial principles in the core model for one Woodin cardinal.Ernest Schimmerling - 1995 - Annals of Pure and Applied Logic 74 (2):153-201.
On the expressiveness of choice quantification.Bas Luttik - 2003 - Annals of Pure and Applied Logic 121 (1):39-87.
Inconsistency of GPK + AFA.Olivier Esser - 1996 - Mathematical Logic Quarterly 42 (1):104-108.
An infinitary Ramsey property.William J. Mitchell - 1992 - Annals of Pure and Applied Logic 57 (2):151-160.
Choice Principles and Compactness Conditions.Bernhard Banaschewski - 1998 - Mathematical Logic Quarterly 44 (3):427-430.

Analytics

Added to PP
2014-01-16

Downloads
43 (#511,356)

6 months
19 (#148,297)

Historical graph of downloads
How can I increase my downloads?

Author's Profile

Marco Forti
University of Pisa

Citations of this work

Add more citations

References found in this work

Choice principles in hyperuniverses.Marco Forti & Furio Honsell - 1996 - Annals of Pure and Applied Logic 77 (1):35-52.

Add more references