Question

Alternative proof that $|V_\alpha| \leq \beth_\alpha$: limit case

score 116 · Answer 1 · 2026-04-04 02:35:40

116

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Alternative proof that $|V_\alpha| \leq \beth_\alpha$: limit case

Published on 04 Apr 2026 - 2:35

score 250 · Answer 2 · 2017-10-26 16:37:52

250

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What is the cardinality of $\text{Hom}_{k}(V,W)$?

Published on 26 Oct 2017 - 16:37

score 38 · Answer 3 · 2017-10-27 02:32:01

38

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About a proof of $\lvert \bigcup_{i \in I} X_i \rvert = \aleph$.

Published on 27 Oct 2017 - 2:32

score 109 · Answer 4 · 2017-10-27 05:00:04

109

Views

Simple Cardinal Exponentiation Example

Published on 27 Oct 2017 - 5:00

score 46 · Answer 5 · 2017-10-28 05:43:12

46

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prove that |A| = $\aleph _0 $ for a set A which meets the following conditions:

Published on 28 Oct 2017 - 5:43

score 691 · Answer 6 · 2026-02-23 20:40:56

691

Views

Show that [4,5] and [4,12] are equivalent or have the same cardinality

Published on 23 Feb 2026 - 20:40

score 531 · Answer 7 · 2026-03-28 08:45:43

531

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Why Cantor set is uncountable despite each element is rational.

Published on 28 Mar 2026 - 8:45

score 53 · Answer 8 · 2017-10-29 18:38:18

53

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Finite group and its proper subsets

Published on 29 Oct 2017 - 18:38

score 338 · Answer 9 · 2017-10-31 00:45:32

338

Views

Prove that the set of $\mathbb{N} \times \mathbb{N} \times \mathbb{N}$ is countable.

Published on 31 Oct 2017 - 0:45

score 901 · Answer 10 · 2017-10-31 02:03:09

901

Views

Show that each equivalence class has the same cardinality as N.

Published on 31 Oct 2017 - 2:03

score 382 · Answer 11 · 2026-04-06 21:04:23

382

Views

Define a bijection between the set of positive integers and the set of all pairs of positive integers

Published on 06 Apr 2026 - 21:04

score 32 · Answer 12 · 2017-11-04 12:54:20

32

Views

Question on Cardinality

Published on 04 Nov 2017 - 12:54

score 257 · Answer 13 · 2017-11-05 16:39:04

257

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Proof for a subset of any finite set is finite

Published on 05 Nov 2017 - 16:39

score 68 · Answer 14 · 2017-11-07 09:56:33

68

Views

Proving that there is no surjective function from $\mathbb{E}_n$ to $\mathbb{E}_m$

Published on 07 Nov 2017 - 9:56

score 132 · Answer 15 · 2017-11-07 15:40:13

132

Views

Injective functions between an interval and a square

Published on 07 Nov 2017 - 15:40

List Question

Alternative proof that $|V_\alpha| \leq \beth_\alpha$: limit case

What is the cardinality of $\text{Hom}_{k}(V,W)$?

About a proof of $\lvert \bigcup_{i \in I} X_i \rvert = \aleph$.

Simple Cardinal Exponentiation Example

prove that |A| = $\aleph _0 $ for a set A which meets the following conditions:

Show that [4,5] and [4,12] are equivalent or have the same cardinality

Why Cantor set is uncountable despite each element is rational.

Finite group and its proper subsets

Prove that the set of $\mathbb{N} \times \mathbb{N} \times \mathbb{N}$ is countable.

Show that each equivalence class has the same cardinality as N.

Define a bijection between the set of positive integers and the set of all pairs of positive integers

Question on Cardinality

Proof for a subset of any finite set is finite

Proving that there is no surjective function from $\mathbb{E}_n$ to $\mathbb{E}_m$

Injective functions between an interval and a square

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