Question

A question dealing with cardinals, and axiom of choice.

score 59 · Answer 1 · 2014-12-06 21:54:47

59

Views

A question dealing with cardinals, and axiom of choice.

Published on 06 Dec 2014 - 21:54

score 6.1k · Answer 2 · 2014-12-08 02:24:06

6.1k

Views

Is it possible to create division via Set Theory?

Published on 08 Dec 2014 - 2:24

score 88 · Answer 3 · 2014-12-08 21:45:15

88

Views

Cardinality of a set of functions from $\mathbb N$ to a set of real numbers

Published on 08 Dec 2014 - 21:45

score 662 · Answer 4 · 2026-03-27 14:39:48

662

Views

$H(\kappa)$ a model of all the axioms of ZFC for $\kappa$ not inaccessible

Published on 27 Mar 2026 - 14:39

score 74 · Answer 5 · 2014-12-11 05:47:55

74

Views

Does ${(x,y)\in\mathbb{R}\times\mathbb{R}:x,y\in\mathbb{Z}}$ have cardinality $\aleph_0$ or $c$?

Published on 11 Dec 2014 - 5:47

score 75 · Answer 6 · 2014-12-12 05:09:28

75

Views

If $2^{\text{cf } \kappa} < \kappa$, then $\kappa^+$ is the least possible value of $\kappa^{\text{cf } \kappa}$

Published on 12 Dec 2014 - 5:09

score 158 · Answer 7 · 2014-12-12 10:29:27

158

Views

Notation for the class of all cardinals

Published on 12 Dec 2014 - 10:29

score 67 · Answer 8 · 2014-12-12 14:17:22

67

Views

Equalities of cardinal numbers

Published on 12 Dec 2014 - 14:17

score 38 · Answer 9 · 2014-12-15 18:47:25

38

Views

Prove that if $\: \forall_{t \in \mathbb{R}} \: \overline{\overline{A}}_t = c$ then $\overline{\overline{\bigcup_{t \in \mathbb{R}} \: A_t}} = c$

Published on 15 Dec 2014 - 18:47

score 2.8k · Answer 10 · 2026-03-28 08:10:40

2.8k

Views

How are some infinities larger than other infinities

Published on 28 Mar 2026 - 8:10

score 66 · Answer 11 · 2014-12-17 09:56:29

66

Views

What is the cardinality of the class of $0$ in $\mathbb{R}$?

Published on 17 Dec 2014 - 9:56

score 236 · Answer 12 · 2014-12-21 11:00:40

236

Views

Cardinal Arithmetic proof issues.

Published on 21 Dec 2014 - 11:00

score 30 · Answer 13 · 2014-12-22 15:45:06

30

Views

Are normed spaces isodyne?

Published on 22 Dec 2014 - 15:45

score 680 · Answer 14 · 2026-03-27 14:39:56

680

Views

What is an undefinable ordinal? How large are the least undefinable ordinal and supremum of all undefinable ordinals?

Published on 27 Mar 2026 - 14:39

score 2.4k · Answer 15 · 2014-12-29 20:25:20

2.4k

Views

Prove that R and P(R) does not have the same cardinality.

Published on 29 Dec 2014 - 20:25

List Question

A question dealing with cardinals, and axiom of choice.

Is it possible to create division via Set Theory?

Cardinality of a set of functions from $\mathbb N$ to a set of real numbers

$H(\kappa)$ a model of all the axioms of ZFC for $\kappa$ not inaccessible

Does ${(x,y)\in\mathbb{R}\times\mathbb{R}:x,y\in\mathbb{Z}}$ have cardinality $\aleph_0$ or $c$?

If $2^{\text{cf } \kappa} < \kappa$, then $\kappa^+$ is the least possible value of $\kappa^{\text{cf } \kappa}$

Notation for the class of all cardinals

Equalities of cardinal numbers

Prove that if $\: \forall_{t \in \mathbb{R}} \: \overline{\overline{A}}_t = c$ then $\overline{\overline{\bigcup_{t \in \mathbb{R}} \: A_t}} = c$

How are some infinities larger than other infinities

What is the cardinality of the class of $0$ in $\mathbb{R}$?

Cardinal Arithmetic proof issues.

Are normed spaces isodyne?

What is an undefinable ordinal? How large are the least undefinable ordinal and supremum of all undefinable ordinals?

Prove that R and P(R) does not have the same cardinality.

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