Question

Does any set admit a total order?

score 364 · Answer 1 · 2015-02-07 15:10:56

364

Views

Does any set admit a total order?

Published on 07 Feb 2015 - 15:10

score 415 · Answer 2 · 2026-03-26 04:32:47

415

Views

Question on Komjáth's "three clouds may cover the plane"

Published on 26 Mar 2026 - 4:32

score 337 · Answer 3 · 2026-03-26 04:29:01

337

Views

A club-guessing exercise

Published on 26 Mar 2026 - 4:29

score 401 · Answer 4 · 2015-02-12 21:00:24

401

Views

Cardinality of the set of all complex sequences converging to zero.

Published on 12 Feb 2015 - 21:00

score 38 · Answer 5 · 2015-02-13 13:53:55

38

Views

bijective, one-to-one, and number of elements

Published on 13 Feb 2015 - 13:53

score 253 · Answer 6 · 2026-03-30 02:11:29

253

Views

Ordinals that are not cardinals

Published on 30 Mar 2026 - 2:11

score 102 · Answer 7 · 2026-03-26 07:52:43

102

Views

If $f\colon\kappa\rightarrow\kappa$, then the set of all $\alpha < \kappa$ such that $f(\xi) < \alpha$ for all $\xi < \alpha$ is closed and unbounded.

Published on 26 Mar 2026 - 7:52

score 72 · Answer 8 · 2015-02-16 12:39:30

72

Views

Powers of $\mathfrak{c}^+$

Published on 16 Feb 2015 - 12:39

score 649 · Answer 9 · 2015-02-17 23:28:55

649

Views

How to determine cardinality of an infinite set using Aleph numbers?

Published on 17 Feb 2015 - 23:28

score 422 · Answer 10 · 2026-03-29 23:45:01

422

Views

ZFC + not-CH, can a set with cardinality between $\aleph_0$ and $2^{\aleph_0}$ be defined?

Published on 29 Mar 2026 - 23:45

score 251 · Answer 11 · 2026-03-27 17:04:57

251

Views

Why we use $\mathrm{Fn}(\kappa\times\lambda,2,\lambda)$ to force $2^\lambda\ge\kappa$ instead of $\mathrm{Fn}(\kappa\times \lambda,2)$

Published on 27 Mar 2026 - 17:04

score 1.1k · Answer 12 · 2015-02-24 04:14:21

1.1k

Views

How do I show the existence of a weakly inaccessible cardinal is not provable in ZFC?

Published on 24 Feb 2015 - 4:14

score 336 · Answer 13 · 2026-03-30 02:06:49

336

Views

How to prove $cf(\aleph_{\omega_1})=\omega_1$?

Published on 30 Mar 2026 - 2:06

score 156 · Answer 14 · 2015-02-25 08:50:04

156

Views

Suppes' Axiom of Cardinal Numbers

Published on 25 Feb 2015 - 8:50

score 135 · Answer 15 · 2026-03-30 02:03:57

135

Views

A question regarding Silver's Theorem

Published on 30 Mar 2026 - 2:03

List Question

Does any set admit a total order?

Question on Komjáth's "three clouds may cover the plane"

A club-guessing exercise

Cardinality of the set of all complex sequences converging to zero.

bijective, one-to-one, and number of elements

Ordinals that are not cardinals

If $f\colon\kappa\rightarrow\kappa$, then the set of all $\alpha < \kappa$ such that $f(\xi) < \alpha$ for all $\xi < \alpha$ is closed and unbounded.

Powers of $\mathfrak{c}^+$

How to determine cardinality of an infinite set using Aleph numbers?

ZFC + not-CH, can a set with cardinality between $\aleph_0$ and $2^{\aleph_0}$ be defined?

Why we use $\mathrm{Fn}(\kappa\times\lambda,2,\lambda)$ to force $2^\lambda\ge\kappa$ instead of $\mathrm{Fn}(\kappa\times \lambda,2)$

How do I show the existence of a weakly inaccessible cardinal is not provable in ZFC?

How to prove $cf(\aleph_{\omega_1})=\omega_1$?

Suppes' Axiom of Cardinal Numbers

A question regarding Silver's Theorem

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