Singular cardinals hypothesis
id:
singular-cardinals-hypothesis-285-1695922
title:
Singular cardinals hypothesis
text:
In set theory, the singular cardinals hypothesis (SCH) arose from the question of whether the least cardinal number for which the generalized continuum hypothesis (GCH) might fail could be a singular cardinal. According to Mitchell (1992), the singular cardinals hypothesis is: Here, κ+ denotes the successor cardinal of κ. Since SCH is a consequence of GCH, which is known to be consistent with ZFC, SCH is consistent with ZFC. The negation of SCH has also been shown to be consistent with ZFC, if o
brand slug:
wiki
category slug:
encyclopedia
description:
Set theory concept
original url:
https://en.wikipedia.org/wiki/Singular_cardinals_hypothesis
date created:
date modified:
2024-02-05T08:21:08Z
main entity:
{"identifier":"Q2289367","url":"https://www.wikidata.org/entity/Q2289367"}
image:
fields total:
13
integrity:
14