Question

Can the cardinality of the set of all intervening cardinals between sets and their power sets be always singular?

score 63 · Answer 1 · 2019-04-18 19:59:15

63

Views

Can the cardinality of the set of all intervening cardinals between sets and their power sets be always singular?

Published on 18 Apr 2019 - 19:59

score 363 · Answer 2 · 2019-05-02 07:24:11

363

Views

Meaning of $0^{¶}$ in set theory

Published on 02 May 2019 - 7:24

score 128 · Answer 3 · 2019-05-06 16:54:41

128

Views

What is the strongest known proxi-finite theory?

Published on 06 May 2019 - 16:54

score 73 · Answer 4 · 2019-05-14 16:34:15

73

Views

What is the consistency strength of $ZC+\neg CH\ \forall x (|x|>1)$?

Published on 14 May 2019 - 16:34

score 112 · Answer 5 · 2019-05-22 16:50:23

112

Views

If an extension of ZF is not consistent with $V=HOD$, does this imply that it must prove existence of large cardinals?

Published on 22 May 2019 - 16:50

score 158 · Answer 6 · 2019-05-29 11:25:31

158

Views

second-order indescribable - inaccessible cardinals

Published on 29 May 2019 - 11:25

score 144 · Answer 7 · 2019-05-30 02:20:10

144

Views

Ultrafilters: normality implying $\kappa$-completeness?

Published on 30 May 2019 - 2:20

score 195 · Answer 8 · 2019-05-31 11:08:45

195

Views

If every $\kappa$-complete filter can be extended to a $\aleph_1$-complete ultrafilter, then some $\lambda\le\kappa$ is measurable

Published on 31 May 2019 - 11:08

score 154 · Answer 9 · 2019-06-04 16:02:41

154

Views

Are elementary embeddings of an inner model in itself possible?

Published on 04 Jun 2019 - 16:02

score 61 · Answer 10 · 2019-06-06 00:45:16

61

Views

$\mathsf{GCH}$ in $L[U]$ without the Rowbottom property

Published on 06 Jun 2019 - 0:45

score 60 · Answer 11 · 2019-06-08 14:06:01

60

Views

The existence of a discrete subset of a metric space whose power set is contained in the Borel sigma algebra

Published on 08 Jun 2019 - 14:06

score 60 · Answer 12 · 2019-06-15 04:41:10

60

Views

Equivalence of two definitions of weak compactness property

Published on 15 Jun 2019 - 4:41

score 312 · Answer 13 · 2019-06-16 01:01:26

312

Views

Weakly inaccessible cardinal such that $\kappa^{<\kappa}=\kappa$

Published on 16 Jun 2019 - 1:01

score 145 · Answer 14 · 2026-03-17 18:26:15

145

Views

Measurability of $\frak c$

Published on 17 Mar 2026 - 18:26

score 180 · Answer 15 · 2019-06-23 08:57:22

180

Views

Do inaccessible-sized sets have any properties that smaller sets don't?

Published on 23 Jun 2019 - 8:57

List Question

Can the cardinality of the set of all intervening cardinals between sets and their power sets be always singular?

Meaning of $0^{¶}$ in set theory

What is the strongest known proxi-finite theory?

What is the consistency strength of $ZC+\neg CH\ \forall x (|x|>1)$?

If an extension of ZF is not consistent with $V=HOD$, does this imply that it must prove existence of large cardinals?

second-order indescribable - inaccessible cardinals

Ultrafilters: normality implying $\kappa$-completeness?

If every $\kappa$-complete filter can be extended to a $\aleph_1$-complete ultrafilter, then some $\lambda\le\kappa$ is measurable

Are elementary embeddings of an inner model in itself possible?

$\mathsf{GCH}$ in $L[U]$ without the Rowbottom property

The existence of a discrete subset of a metric space whose power set is contained in the Borel sigma algebra

Equivalence of two definitions of weak compactness property

Weakly inaccessible cardinal such that $\kappa^{<\kappa}=\kappa$

Measurability of $\frak c$

Do inaccessible-sized sets have any properties that smaller sets don't?

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