Question

Least $n \in \mathbb{N}$ such that $2^{|n|} = \aleph_0$?

score 78 · Answer 1 · 2020-03-29 13:41:48

78

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Least $n \in \mathbb{N}$ such that $2^{|n|} = \aleph_0$?

Published on 29 Mar 2020 - 13:41

score 145 · Answer 2 · 2026-03-28 02:22:50

145

Views

An application of the Pressing Down Lemma (Part 2)

Published on 28 Mar 2026 - 2:22

score 206 · Answer 3 · 2020-03-31 12:59:54

206

Views

How many sets can we prove existence of in $\text{ZFC}$?

Published on 31 Mar 2020 - 12:59

score 113 · Answer 4 · 2020-04-03 15:34:04

113

Views

cardinality of the set of all rational sequences taking exactly one value between two integers

Published on 03 Apr 2020 - 15:34

score 206 · Answer 5 · 2026-03-28 02:23:31

206

Views

The definition of a cardinal number

Published on 28 Mar 2026 - 2:23

score 154 · Answer 6 · 2026-03-28 02:22:54

154

Views

Why are cardinals sets and not numbers?

Published on 28 Mar 2026 - 2:22

score 171 · Answer 7 · 2026-03-28 02:20:58

171

Views

Basic notions in PCF theory

Published on 28 Mar 2026 - 2:20

score 112 · Answer 8 · 2020-04-07 05:47:10

112

Views

About the definition of inaccessible cardinal?

Published on 07 Apr 2020 - 5:47

score 52 · Answer 9 · 2020-04-09 01:10:30

52

Views

Infinite Cartesian Product of Sets with the Same Cardinality as $\Bbb{R}$

Published on 09 Apr 2020 - 1:10

score 59 · Answer 10 · 2020-04-09 15:05:56

Suppose A1, A2, . . . have the same cardinality as R. (There are denumerably many of them.) What is the cardinality of A1 ×A2 ×···

score 86 · Answer 11 · 2020-04-10 18:46:25

86

Views

Ordering on the Cardinals - A Question About Set Builder Notation Using Cardinals

Published on 10 Apr 2020 - 18:46

score 140 · Answer 12 · 2026-03-28 04:35:46

140

Views

An alternative proof of set of all permutations on naturals is uncountable by Cantor's diagonalization.

Published on 28 Mar 2026 - 4:35

score 32 · Answer 13 · 2020-04-12 22:24:56

32

Views

How do we know that the set of sets that each contain real coefficient polynomials of distinct degrees is countable?

Published on 12 Apr 2020 - 22:24

score 211 · Answer 14 · 2026-03-28 19:39:47

211

Views

If $\kappa$ is the $\alpha<\kappa$-th inaccessible cardinal, then the regular cardinals below $\kappa$ form a non-stationary set

Published on 28 Mar 2026 - 19:39

score 50 · Answer 15 · 2020-04-13 12:03:15

50

Views

Which cardinal tower is larger?

Published on 13 Apr 2020 - 12:03

List Question

Least $n \in \mathbb{N}$ such that $2^{|n|} = \aleph_0$?

An application of the Pressing Down Lemma (Part 2)

How many sets can we prove existence of in $\text{ZFC}$?

cardinality of the set of all rational sequences taking exactly one value between two integers

The definition of a cardinal number

Why are cardinals sets and not numbers?

Basic notions in PCF theory

About the definition of inaccessible cardinal?

Infinite Cartesian Product of Sets with the Same Cardinality as $\Bbb{R}$

Suppose A1, A2, . . . have the same cardinality as R. (There are denumerably many of them.) What is the cardinality of A1 ×A2 ×···

Ordering on the Cardinals - A Question About Set Builder Notation Using Cardinals

An alternative proof of set of all permutations on naturals is uncountable by Cantor's diagonalization.

How do we know that the set of sets that each contain real coefficient polynomials of distinct degrees is countable?

If $\kappa$ is the $\alpha<\kappa$-th inaccessible cardinal, then the regular cardinals below $\kappa$ form a non-stationary set

Which cardinal tower is larger?

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