Piece selection and cardinal arithmetic

Mathematical Logic Quarterly 68 (4):416-446 (2022)
  Copy   BIBTEX

Abstract

We study the effects of piece selection principles on cardinal arithmetic (Shelah style). As an application, we discuss questions of Abe and Usuba. In particular, we show that if, then (a) is not (λ, 2)‐distributive, and (b) does not hold.

Categories

Add categories

Keywords

Reprint years

DOI

10.1002/malq.202100033

Links

PhilArchive



    Upload a copy of this work     Papers currently archived: 91,202

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

Cardinal Arithmetic.Saharon Shelah - 1994 - Oxford, England: Clarendon Press.
x2. The arithmetic of cardinal numbers. Cardinal numbers were intro.Thomas Jech - 1995 - Bulletin of Symbolic Logic 1 (4).
Problems for Natural Selection as a Mechanism.Joyce C. Havstad - 2011 - Philosophy of Science 78 (3):512-523.
A Power Function with a Fixed Finite Gap Everywhere.Carmi Merimovich - 2007 - Journal of Symbolic Logic 72 (2):361 - 417.
The theorem of the means for cardinal and ordinal numbers.George Rousseau - 1993 - Mathematical Logic Quarterly 39 (1):279-286.
Harrington’s principle in higher order arithmetic.Yong Cheng & Ralf Schindler - 2015 - Journal of Symbolic Logic 80 (2):477-489.
A partition property of a mixed type for P~k(Lambda).Pierre Matet - 2003 - Mathematical Logic Quarterly 49 (6):615.
Kant's Conception of Number.Daniel Sutherland - 2017 - Philosophical Review Current Issue 126 (2):147-190.
Stationary Cardinals.Wenzhi Sun - 1993 - Archive for Mathematical Logic 32 (6):429-442.
Cardinal arithmetic in the style of Baron Von münchhausen.Albert Visser - 2009 - Review of Symbolic Logic 2 (3):570-589.
Counting and arithmetic principles first.Rochel Gelman - 2008 - Behavioral and Brain Sciences 31 (6):653-654.
Singular cardinals and the pcf theory.Thomas Jech - 1995 - Bulletin of Symbolic Logic 1 (4):408-424.
Saharon Shelah, Cardinal Arithmetic. [REVIEW]Saharon Shelah - 1998 - Studia Logica 60 (3):443-448.
More on cardinal arithmetic.Saharon Shelah - 1993 - Archive for Mathematical Logic 32 (6):399-428.
An equiconsistency for universal indestructibility.Arthur W. Apter & Grigor Sargsyan - 2010 - Journal of Symbolic Logic 75 (1):314-322.

Analytics

Added to PP
2022-09-08

Downloads
6 (#1,389,828)

6 months
5 (#544,079)

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

Squares, scales and stationary reflection.James Cummings, Matthew Foreman & Menachem Magidor - 2001 - Journal of Mathematical Logic 1 (01):35-98.
On strong compactness and supercompactness.Telis K. Menas - 1975 - Annals of Mathematical Logic 7 (4):327-359.
Scales, squares and reflection.James Cummings, Matthew Foreman & Menachem Magidor - 2001 - Journal of Mathematical Logic 1 (1):35-98.
Aronszajn trees and failure of the singular cardinal hypothesis.Itay Neeman - 2009 - Journal of Mathematical Logic 9 (1):139-157.
The combinatorial essence of supercompactness.Christoph Weiß - 2012 - Annals of Pure and Applied Logic 163 (11):1710-1717.

View all 21 references / Add more references