Question

How large or small can the gap in Shelah's main gap theorem be, up to consistency?

score 357 · Answer 1 · 2026-03-25 22:06:15

357

Views

How large or small can the gap in Shelah's main gap theorem be, up to consistency?

Published on 25 Mar 2026 - 22:06

score 1.3k · Answer 2 · 2014-06-07 13:51:50

1.3k

Views

how big is the smallest inaccessible cardinal?

Published on 07 Jun 2014 - 13:51

score 167 · Answer 3 · 2026-03-25 23:42:20

167

Views

On the number of countable models of complete theories of models of ZFC

Published on 25 Mar 2026 - 23:42

score 178 · Answer 4 · 2014-06-20 11:23:26

178

Views

Is the cardinality of the continuum weakly Mahlo?

Published on 20 Jun 2014 - 11:23

score 229 · Answer 5 · 2026-03-26 00:59:55

229

Views

Proof of PFA from Supercompact

Published on 26 Mar 2026 - 0:59

score 1.3k · Answer 6 · 2026-03-27 09:48:19

1.3k

Views

$\aleph_\omega$ and large ordinals?

Published on 27 Mar 2026 - 9:48

score 137 · Answer 7 · 2014-07-20 11:33:25

137

Views

Expository Papers on Extenders

Published on 20 Jul 2014 - 11:33

score 147 · Answer 8 · 2014-07-26 21:11:20

147

Views

A question about second-order logic and inaccessible cardinals.

Published on 26 Jul 2014 - 21:11

score 135 · Answer 9 · 2014-07-27 02:00:34

135

Views

Is consistency strength order dense?

Published on 27 Jul 2014 - 2:00

score 147 · Answer 10 · 2026-03-25 23:34:45

147

Views

$\{\alpha < \kappa \mid cf(\alpha) = \lambda\}$ is not ineffable

Published on 25 Mar 2026 - 23:34

score 962 · Answer 11 · 2014-08-20 00:00:19

962

Views

Is there "intuition" as to why the Continuum Hypothesis is independent of most large cardinal axioms?

Published on 20 Aug 2014 - 0:00

score 574 · Answer 12 · 2026-03-25 19:09:55

574

Views

Proof of "If $ZFC$ proves there is an inaccessible cardinal, then $ZFC$ is inconsistent".

Published on 25 Mar 2026 - 19:09

score 703 · Answer 13 · 2014-09-23 13:25:11

703

Views

Is this extension of ZFC known to be outright inconsistent?

Published on 23 Sep 2014 - 13:25

score 325 · Answer 14 · 2014-10-02 15:25:48

325

Views

Are there any large cardinal properties of the critical point of a $j: L \longrightarrow L$?

Published on 02 Oct 2014 - 15:25

score 482 · Answer 15 · 2014-10-04 00:26:34

482

Views

$0^\sharp$ and the regularity of $\aleph_\omega$

Published on 04 Oct 2014 - 0:26

List Question

How large or small can the gap in Shelah's main gap theorem be, up to consistency?

how big is the smallest inaccessible cardinal?

On the number of countable models of complete theories of models of ZFC

Is the cardinality of the continuum weakly Mahlo?

Proof of PFA from Supercompact

$\aleph_\omega$ and large ordinals?

Expository Papers on Extenders

A question about second-order logic and inaccessible cardinals.

Is consistency strength order dense?

$\{\alpha < \kappa \mid cf(\alpha) = \lambda\}$ is not ineffable

Is there "intuition" as to why the Continuum Hypothesis is independent of most large cardinal axioms?

Proof of "If $ZFC$ proves there is an inaccessible cardinal, then $ZFC$ is inconsistent".

Is this extension of ZFC known to be outright inconsistent?

Are there any large cardinal properties of the critical point of a $j: L \longrightarrow L$?

$0^\sharp$ and the regularity of $\aleph_\omega$

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