Question

Is $A_n$ uncountable for all $n \in \Bbb N\ $?

score 435 · Answer 1 · 2020-11-12 06:26:35

435

Views

Is $A_n$ uncountable for all $n \in \Bbb N\ $?

Published on 12 Nov 2020 - 6:26

score 114 · Answer 2 · 2026-04-06 05:16:36

114

Views

Injection of ordinal $\alpha$ into $\beta$ means $\alpha \subseteq \beta$

Published on 06 Apr 2026 - 5:16

score 133 · Answer 3 · 2026-04-12 18:22:28

133

Views

Simple proof showing a subset has smaller cardinal

Published on 12 Apr 2026 - 18:22

score 82 · Answer 4 · 2020-11-16 15:36:24

82

Views

Compute the following two cardinals: $\mathfrak{c}^{\mathfrak{c}^\mathfrak{c}}$ and $n^{\aleph _0} \aleph_0 ^n$

Published on 16 Nov 2020 - 15:36

score 66 · Answer 5 · 2026-04-12 15:53:15

66

Views

a particular cardinal equation

Published on 12 Apr 2026 - 15:53

score 33 · Answer 6 · 2026-04-10 20:10:02

33

Views

If $\kappa_i, i\in I,$ are distinct cardinal numbers, then $|I|\leq\sup\{\kappa_i\mid i\in I\}$

Published on 10 Apr 2026 - 20:10

score 63 · Answer 7 · 2026-04-12 17:29:20

63

Views

Does the set of open sets in $\mathbb{R}$ is countable?

Published on 12 Apr 2026 - 17:29

score 87 · Answer 8 · 2026-04-10 21:25:30

87

Views

When does $\kappa^{<\lambda}=\kappa^\lambda$?

Published on 10 Apr 2026 - 21:25

score 235 · Answer 9 · 2020-11-20 01:36:20

235

Views

In what sense does Martin's axiom say that cardinals between $\aleph_0$ and $2^{\aleph_0}$ are "similar" to $\aleph_0$?

Published on 20 Nov 2020 - 1:36

score 94 · Answer 10 · 2026-04-12 06:52:19

94

Views

Proving cardinality given surjection from A to B and B to A

Published on 12 Apr 2026 - 6:52

score 83 · Answer 11 · 2020-11-20 23:42:43

83

Views

Ordinals and Cardinals larger than the fixed points of $α↦ω_α$ and $α↦\aleph_α$?

Published on 20 Nov 2020 - 23:42

score 39 · Answer 12 · 2020-11-26 18:42:37

39

Views

finite sets and countable sets.

Published on 26 Nov 2020 - 18:42

score 234 · Answer 13 · 2020-11-28 00:37:38

234

Views

Cardinality of the set of functions that maps from $\mathbb{N}$ to $\{1,2,3\}$.

Published on 28 Nov 2020 - 0:37

score 126 · Answer 14 · 2020-11-28 01:20:27

126

Views

Cardinal Arithmetic Property Proof

Published on 28 Nov 2020 - 1:20

score 71 · Answer 15 · 2026-03-30 17:37:32

71

Views

Cardinality of order preserving functions from totally ordered set with dense subset

Published on 30 Mar 2026 - 17:37

List Question

Is $A_n$ uncountable for all $n \in \Bbb N\ $?

Injection of ordinal $\alpha$ into $\beta$ means $\alpha \subseteq \beta$

Simple proof showing a subset has smaller cardinal

Compute the following two cardinals: $\mathfrak{c}^{\mathfrak{c}^\mathfrak{c}}$ and $n^{\aleph _0} \aleph_0 ^n$

a particular cardinal equation

If $\kappa_i, i\in I,$ are distinct cardinal numbers, then $|I|\leq\sup\{\kappa_i\mid i\in I\}$

Does the set of open sets in $\mathbb{R}$ is countable?

When does $\kappa^{<\lambda}=\kappa^\lambda$?

In what sense does Martin's axiom say that cardinals between $\aleph_0$ and $2^{\aleph_0}$ are "similar" to $\aleph_0$?

Proving cardinality given surjection from A to B and B to A

Ordinals and Cardinals larger than the fixed points of $α↦ω_α$ and $α↦\aleph_α$?

finite sets and countable sets.

Cardinality of the set of functions that maps from $\mathbb{N}$ to $\{1,2,3\}$.

Cardinal Arithmetic Property Proof

Cardinality of order preserving functions from totally ordered set with dense subset

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