Question

For which values of $\lambda$ is it consistent to have exactly $\lambda$ cardinals strictly between $\beth_0$ and $\beth_1$?

score 56 · Answer 1 · 2026-04-14 15:35:20

56

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For which values of $\lambda$ is it consistent to have exactly $\lambda$ cardinals strictly between $\beth_0$ and $\beth_1$?

Published on 14 Apr 2026 - 15:35

score 103 · Answer 2 · 2026-04-14 21:30:49

103

Views

Bijection between $\{x^2: x \in R \}$ and $\{x: x \in R\}$

Published on 14 Apr 2026 - 21:30

score 62 · Answer 3 · 2026-04-15 23:49:13

Let $S$ be the set of all infinite sequences of positive integers $k_1, k_2,..., k_n...$ which are strictly increasing. The cardinal number $|S| = c$

score 164 · Answer 4 · 2026-04-15 22:40:11

164

Views

cardinality of the set of all partitions of N which contain only finite sets

Published on 15 Apr 2026 - 22:40

score 26 · Answer 5 · 2026-04-16 10:33:51

26

Views

$ (1...1)(n) =\# \{(m_1,...,m_k)\in (\mathbb{N}\setminus \{0\})^k : m_1...m_k = n\} $

Published on 16 Apr 2026 - 10:33

score 250 · Answer 6 · 2026-03-27 10:08:28

250

Views

Bijection between $3^{\mathbb N}$ and $\mathcal P(\mathbb N)$?

Published on 27 Mar 2026 - 10:08

score 91 · Answer 7 · 2026-04-12 03:38:11

91

Views

Compact cardinal cannot be successor?

Published on 12 Apr 2026 - 3:38

score 59 · Answer 8 · 2021-12-01 23:36:56

59

Views

Prove that a field of a set has $2^r$ elements if it has finite cardinality.

Published on 01 Dec 2021 - 23:36

score 383 · Answer 9 · 2026-04-15 18:19:08

383

Views

Let A = $\left\{1,\:2,\:\left\{1,\:2\right\}\right\}$, how many elements are in the set $P(A)\setminus A$?

Published on 15 Apr 2026 - 18:19

score 119 · Answer 10 · 2026-04-10 21:34:46

119

Views

Quick question about inaccessible cardinals

Published on 10 Apr 2026 - 21:34

score 52 · Answer 11 · 2026-04-09 22:56:57

52

Views

How to prove and define amount of countably infinite set in the naturals numbers

Published on 09 Apr 2026 - 22:56

score 134 · Answer 12 · 2026-04-11 16:54:57

134

Views

Do hypercontinuous fields exist?

Published on 11 Apr 2026 - 16:54

score 23 · Answer 13 · 2026-04-13 00:43:17

23

Views

What is the lower ordinal bound for the smallest fixed point of derivations with infinitary rules

Published on 13 Apr 2026 - 0:43

score 31 · Answer 14 · 2026-04-13 07:59:11

31

Views

An upper bound for the continuum hypothesis

Published on 13 Apr 2026 - 7:59

score 38 · Answer 15 · 2026-04-12 09:16:05

38

Views

Separating weight of discrete space.

Published on 12 Apr 2026 - 9:16

List Question

For which values of $\lambda$ is it consistent to have exactly $\lambda$ cardinals strictly between $\beth_0$ and $\beth_1$?

Bijection between $\{x^2: x \in R \}$ and $\{x: x \in R\}$

Let $S$ be the set of all infinite sequences of positive integers $k_1, k_2,..., k_n...$ which are strictly increasing. The cardinal number $|S| = c$

cardinality of the set of all partitions of N which contain only finite sets

$ (1...1)(n) =\# \{(m_1,...,m_k)\in (\mathbb{N}\setminus \{0\})^k : m_1...m_k = n\} $

Bijection between $3^{\mathbb N}$ and $\mathcal P(\mathbb N)$?

Compact cardinal cannot be successor?

Prove that a field of a set has $2^r$ elements if it has finite cardinality.

Let A = $\left\{1,\:2,\:\left\{1,\:2\right\}\right\}$, how many elements are in the set $P(A)\setminus A$?

Quick question about inaccessible cardinals

How to prove and define amount of countably infinite set in the naturals numbers

Do hypercontinuous fields exist?

What is the lower ordinal bound for the smallest fixed point of derivations with infinitary rules

An upper bound for the continuum hypothesis

Separating weight of discrete space.

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