List questions from large-cardinals | MathQA

Why ${\rm Ult}(V,{\cal U})\vDash|[id]_{\cal U}|<j_{\cal U}(\kappa)$, when $\cal U$ is a $\delta$-complete fine ultrafilter on $\cal P_\kappa(\alpha)$?

Published on 18 Aug 2020 - 15:22

Sizes of consecutive elements of the indiscernible club of $a$, get collapsed to the same cardinality in $L[a^\#]$

Published on 02 Sep 2020 - 18:16

Characterizing worldly cardinals as the supremum (by n) of least $\Sigma_n$-extendible cardinals

Published on 09 Sep 2020 - 3:07

$0^\sharp$ and transcendence over $L$

Published on 16 Sep 2020 - 10:53

Sets of Fixed Points in an Ultrapower Embedding

Published on 18 Sep 2020 - 21:55

Reference for consistency strength of ZFC + AD$^{L(R)}$

Published on 29 Sep 2020 - 19:04

A $\kappa$-complete prime ideal can't be second-order definable

Published on 10 Oct 2020 - 17:15

Books on infinite sets

Published on 04 Nov 2020 - 1:46

If countable fragments of an ultrapower can be realized, then the ultrafilter is $\omega_1$-complete

Published on 05 Nov 2020 - 16:00

Linear iterability for set models of $\mathsf{ZFC}$

Published on 09 Nov 2020 - 15:26

Which sets admit a countably additive measure defined on their powerset?

Published on 02 Dec 2020 - 11:08

What is wrong with this proof there is no $\omega$-th worldly cardinal

Published on 02 Dec 2020 - 19:18

What is wrong with this proof that inaccessible cardinals are inconsistent

Published on 08 Dec 2020 - 20:01

Consistency of non-trivial elementary embedding $j: Ord \to Ord$

Published on 14 Dec 2020 - 7:55

Is it true ZF can't prove there is a choice function on the Turing degrees?

Published on 29 Mar 2026 - 17:50