Dedekind-Finite Cardinals Having Countable Partitions

&
Journal of Symbolic Logic:1-16 (forthcoming)
  Copy   BIBTEX

Abstract

We study the possible structures which can be carried by sets which have no countable subset, but which fail to be ‘surjectively Dedekind finite’, in two possible senses, that there is surjection to $\omega $, or alternatively, that there is a surjection to a proper superset.

Categories

Keywords

Reprint years

DOI

10.1017/jsl.2023.48

Other Versions

No versions found

Links

PhilArchive



    Upload a copy of this work     Papers currently archived: 101,854

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

The First-Order Structure of Weakly Dedekind-Finite Sets.A. C. Walczak-Typke - 2005 - Journal of Symbolic Logic 70 (4):1161 - 1170.
A Note on Weakly Dedekind Finite Sets.Pimpen Vejjajiva & Supakun Panasawatwong - 2014 - Notre Dame Journal of Formal Logic 55 (3):413-417.
A dedekind finite borel set.Arnold W. Miller - 2011 - Archive for Mathematical Logic 50 (1-2):1-17.
Divisibility of dedekind finite sets.David Blair, Andreas Blass & Paul Howard - 2005 - Journal of Mathematical Logic 5 (1):49-85.
Finiteness Classes and Small Violations of Choice.Horst Herrlich, Paul Howard & Eleftherios Tachtsis - 2016 - Notre Dame Journal of Formal Logic 57 (3):375-388.
Relations between cardinalities of the finite sequences and the finite subsets of a set.Navin Aksornthong & Pimpen Vejjajiva - 2018 - Mathematical Logic Quarterly 64 (6):529-534.
Generalizations of Cantor's theorem in ZF.Guozhen Shen - 2017 - Mathematical Logic Quarterly 63 (5):428-436.
Non‐discrete metrics in and some notions of finiteness.Kyriakos Keremedis - 2016 - Mathematical Logic Quarterly 62 (4-5):383-390.
Markov's principle, isols and Dedekind finite sets.Charles McCarty - 1988 - Journal of Symbolic Logic 53 (4):1042-1069.
The Cardinality of the set of Dedekind Finite Cardinals in Fraenkel‐Mostowski Models.Arthur L. Rubin & Jean E. Rubin - 1974 - Mathematical Logic Quarterly 20 (31-33):517-528.

Analytics

Added to PP
2023-08-22

Downloads
9 (#1,534,659)

6 months
5 (#1,080,408)

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

The structure of amorphous sets.J. K. Truss - 1995 - Annals of Pure and Applied Logic 73 (2):191-233.
Some Aspects and Examples of Infinity Notions.J. W. Degen - 1994 - Mathematical Logic Quarterly 40 (1):111-124.
Ramsey’s theorem and König’s Lemma.T. E. Forster & J. K. Truss - 2007 - Archive for Mathematical Logic 46 (1):37-42.
On quasi-amorphous sets.P. Creed & J. K. Truss - 2001 - Archive for Mathematical Logic 40 (8):581-596.
Surjectively rigid chains.Mayra Montalvo-Ballesteros & John K. Truss - 2020 - Mathematical Logic Quarterly 66 (4):466-478.

View all 7 references / Add more references