Question

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

score 66 · Answer 1 · 2026-04-14 10:57:55

66

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

Published on 14 Apr 2026 - 10:57

score 368 · Answer 2 · 2026-04-14 15:51:16

368

Views

Meaning of $0^{¶}$ in set theory

Published on 14 Apr 2026 - 15:51

score 131 · Answer 3 · 2026-04-14 11:18:14

131

Views

What is the strongest known proxi-finite theory?

Published on 14 Apr 2026 - 11:18

score 76 · Answer 4 · 2026-04-13 22:35:50

76

Views

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

Published on 13 Apr 2026 - 22:35

score 115 · Answer 5 · 2026-04-12 16:42:06

115

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 12 Apr 2026 - 16:42

score 161 · Answer 6 · 2026-04-15 21:31:30

161

Views

second-order indescribable - inaccessible cardinals

Published on 15 Apr 2026 - 21:31

score 147 · Answer 7 · 2026-04-10 08:11:56

147

Views

Ultrafilters: normality implying $\kappa$-completeness?

Published on 10 Apr 2026 - 8:11

score 198 · Answer 8 · 2026-04-16 02:27:23

198

Views

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

Published on 16 Apr 2026 - 2:27

score 157 · Answer 9 · 2026-04-12 08:42:40

157

Views

Are elementary embeddings of an inner model in itself possible?

Published on 12 Apr 2026 - 8:42

score 64 · Answer 10 · 2026-04-13 18:39:58

64

Views

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

Published on 13 Apr 2026 - 18:39

score 63 · Answer 11 · 2026-04-14 23:33:27

63

Views

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

Published on 14 Apr 2026 - 23:33

score 63 · Answer 12 · 2026-04-12 03:12:11

63

Views

Equivalence of two definitions of weak compactness property

Published on 12 Apr 2026 - 3:12

score 315 · Answer 13 · 2026-04-16 08:46:03

315

Views

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

Published on 16 Apr 2026 - 8:46

score 150 · Answer 14 · 2026-04-23 17:09:30

150

Views

Measurability of $\frak c$

Published on 23 Apr 2026 - 17:09

score 183 · Answer 15 · 2026-04-16 00:00:07

183

Views

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

Published on 16 Apr 2026 - 0:00

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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