A direct proof of the five element basis theorem

Mathematical Logic Quarterly 63 (3-4):289-298 (2017)
  Copy   BIBTEX

Abstract

We present a direct proof of the consistency of the existence of a five element basis for the uncountable linear orders. Our argument is based on the approach of König, Larson, Moore and Veličković and simplifies the original proof of Moore.

Links

PhilArchive



    Upload a copy of this work     Papers currently archived: 91,709

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 constructive proof of the Peter‐Weyl theorem.Thierry Coquand & Bas Spitters - 2005 - Mathematical Logic Quarterly 51 (4):351-359.
Weak König's Lemma Implies Brouwer's Fan Theorem: A Direct Proof.Hajime Ishihara - 2006 - Notre Dame Journal of Formal Logic 47 (2):249-252.
A proofless proof of the Barwise compactness theorem.Mark Howard - 1988 - Journal of Symbolic Logic 53 (2):597-602.
The Kinds of Truth of Geometry Theorems.Michael Bulmer, Desmond Fearnley-Sander & Tim Stokes - 2001 - In Jürgen Richter-Gebert & Dongming Wang (eds.), LNCS: Lecture Notes In Computer Science. Springer Verlag. pp. 129-142.
Gleason's theorem has a constructive proof.Fred Richman - 2000 - Journal of Philosophical Logic 29 (4):425-431.
Tait's conservative extension theorem revisited.Ryota Akiyoshi - 2010 - Journal of Symbolic Logic 75 (1):155-167.
A basis theorem for perfect sets.Marcia J. Groszek & Theodore A. Slaman - 1998 - Bulletin of Symbolic Logic 4 (2):204-209.
The automorphism tower of a centerless group without Choice.Itay Kaplan & Saharon Shelah - 2009 - Archive for Mathematical Logic 48 (8):799-815.
Some applications of computable one-one numberings.Martin Kummer - 1990 - Archive for Mathematical Logic 30 (4):219-230.

Analytics

Added to PP
2017-10-29

Downloads
29 (#548,607)

6 months
10 (#263,328)

Historical graph of downloads
How can I increase my downloads?

Author's Profile

Giorgio Venturi
University of Campinas

Citations of this work

No citations found.

Add more citations

References found in this work

[Omnibus Review].Thomas Jech - 1992 - Journal of Symbolic Logic 57 (1):261-262.
Set mapping reflection.Justin Tatch Moore - 2005 - Journal of Mathematical Logic 5 (1):87-97.

Add more references