Question

Is the set of all pairs of real numbers uncountable?

score 1.4k · Answer 1 · 2015-05-22 19:14:46

1.4k

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Is the set of all pairs of real numbers uncountable?

Published on 22 May 2015 - 19:14

score 190 · Answer 2 · 2015-05-24 07:25:17

190

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Saturated models and $\kappa=\kappa^{<\kappa}$

Published on 24 May 2015 - 7:25

score 359 · Answer 3 · 2026-04-03 02:35:26

359

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For an infinite cardinal $\kappa$, $\aleph_0 \leq 2^{2^\kappa}$

Published on 03 Apr 2026 - 2:35

score 71 · Answer 4 · 2026-03-28 05:21:48

71

Views

Filter, dual ideal,definition of $\liminf_I \lambda$

Published on 28 Mar 2026 - 5:21

score 1.8k · Answer 5 · 2015-05-28 04:09:21

1.8k

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Is the powerset of the reals any "more uncountable" (in some sense) than the reals are?

Published on 28 May 2015 - 4:09

score 65 · Answer 6 · 2015-06-01 19:37:29

65

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What is the cardinality of $P(\mathbb{R})\setminus P(\mathbb{Q})$?

Published on 01 Jun 2015 - 19:37

score 184 · Answer 7 · 2015-06-02 10:03:18

184

Views

cardinality of the set of real functions that approaches $0$ when $x\longrightarrow \infty$

Published on 02 Jun 2015 - 10:03

score 405 · Answer 8 · 2015-06-02 22:10:37

405

Views

Cardinality of all subsets of cardinality $\aleph_0$ or $\aleph$ in $\mathbb{R}$

Published on 02 Jun 2015 - 22:10

score 1.9k · Answer 9 · 2015-06-03 01:19:20

1.9k

Views

Cardinality of equivalence relations in $\mathbb{N}$

Published on 03 Jun 2015 - 1:19

score 128 · Answer 10 · 2015-06-03 02:12:22

128

Views

Proving $|\mathbb{R}-\mathbb{S}|=2^{\aleph_0}$ when $\mathbb{S}\subset R$ is countable

Published on 03 Jun 2015 - 2:12

score 640 · Answer 11 · 2015-06-04 22:20:50

640

Views

Vaught's two cardinal theorem using Vaught pairs

Published on 04 Jun 2015 - 22:20

score 96 · Answer 12 · 2015-06-08 19:33:38

96

Views

When does the cardinality disappear?

Published on 08 Jun 2015 - 19:33

score 115 · Answer 13 · 2015-06-09 21:13:43

115

Views

Singularity of small cardinals under AD

Published on 09 Jun 2015 - 21:13

score 1.1k · Answer 14 · 2026-03-30 11:03:32

1.1k

Views

What is the cofinality of $2^{\aleph_\omega}$

Published on 30 Mar 2026 - 11:03

score 44 · Answer 15 · 2015-06-10 02:52:38

44

Views

Why Is This Step Needed in Proving Bernstein-Schroeder?

Published on 10 Jun 2015 - 2:52

List Question

Is the set of all pairs of real numbers uncountable?

Saturated models and $\kappa=\kappa^{<\kappa}$

For an infinite cardinal $\kappa$, $\aleph_0 \leq 2^{2^\kappa}$

Filter, dual ideal,definition of $\liminf_I \lambda$

Is the powerset of the reals any "more uncountable" (in some sense) than the reals are?

What is the cardinality of $P(\mathbb{R})\setminus P(\mathbb{Q})$?

cardinality of the set of real functions that approaches $0$ when $x\longrightarrow \infty$

Cardinality of all subsets of cardinality $\aleph_0$ or $\aleph$ in $\mathbb{R}$

Cardinality of equivalence relations in $\mathbb{N}$

Proving $|\mathbb{R}-\mathbb{S}|=2^{\aleph_0}$ when $\mathbb{S}\subset R$ is countable

Vaught's two cardinal theorem using Vaught pairs

When does the cardinality disappear?

Singularity of small cardinals under AD

What is the cofinality of $2^{\aleph_\omega}$

Why Is This Step Needed in Proving Bernstein-Schroeder?

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