Question

Cardinality of a subset of the set of all total functions defined on $P(\mathbb{N})$

score 105 · Answer 1 · 2026-04-14 21:39:13

105

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Cardinality of a subset of the set of all total functions defined on $P(\mathbb{N})$

Published on 14 Apr 2026 - 21:39

score 56 · Answer 2 · 2026-04-13 23:24:32

56

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Can ZF set theory prove this cardinal inequality?

Published on 13 Apr 2026 - 23:24

score 215 · Answer 3 · 2026-04-16 06:50:13

215

Views

How to rigorously prove that $|A|\neq|A\cup B|$, when $B\not\subseteq A$ and $A$ is finite.

Published on 16 Apr 2026 - 6:50

score 1k · Answer 4 · 2026-04-11 17:01:56

1k

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Proof that a subset of a countable set is countable

Published on 11 Apr 2026 - 17:01

score 955 · Answer 5 · 2026-04-14 18:13:14

955

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Is there an infinite topological space with only countably many continuous maps to itself?

Published on 14 Apr 2026 - 18:13

score 88 · Answer 6 · 2026-04-13 19:57:40

88

Views

A soft question on the concept of cardinality and infinity

Published on 13 Apr 2026 - 19:57

score 148 · Answer 7 · 2026-04-12 14:31:26

148

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Can some unsolvable problems in mathematics be associated with an uncomputable number?

Published on 12 Apr 2026 - 14:31

score 595 · Answer 8 · 2026-04-08 23:32:16

595

Views

Is $\log(\aleph_0)$ undefined?

Published on 08 Apr 2026 - 23:32

score 81 · Answer 9 · 2026-04-10 18:39:31

81

Views

Modifying proof of uncountability

Published on 10 Apr 2026 - 18:39

score 60 · Answer 10 · 2026-04-15 21:58:52

60

Views

Suppose $E=\cup_{n=1}^{\infty}A_n$ and the cardinal number of $E$ is $c$.

Published on 15 Apr 2026 - 21:58

score 87 · Answer 11 · 2026-04-14 12:23:15

87

Views

What is the cardinality of $\mathbb{R^n}$ and $l^2$?

Published on 14 Apr 2026 - 12:23

score 64 · Answer 12 · 2026-04-16 13:04:50

64

Views

About a construction by recursion in order to prove that $|X|\leq 2^{c(X)\chi(X)}$ for $X$ Hausdorff.

Published on 16 Apr 2026 - 13:04

score 42 · Answer 13 · 2026-04-11 21:30:30

42

Views

Prove that $|Z(A_i)|=|Z(B_i)|$.

Published on 11 Apr 2026 - 21:30

score 55 · Answer 14 · 2026-04-14 09:16:55

55

Views

The cardinal number different fields function

Published on 14 Apr 2026 - 9:16

score 67 · Answer 15 · 2026-04-16 07:04:39

67

Views

$T_1$ space violating cardinal bound which every $T_2$ space satisfy

Published on 16 Apr 2026 - 7:04

List Question

Cardinality of a subset of the set of all total functions defined on $P(\mathbb{N})$

Can ZF set theory prove this cardinal inequality?

How to rigorously prove that $|A|\neq|A\cup B|$, when $B\not\subseteq A$ and $A$ is finite.

Proof that a subset of a countable set is countable

Is there an infinite topological space with only countably many continuous maps to itself?

A soft question on the concept of cardinality and infinity

Can some unsolvable problems in mathematics be associated with an uncomputable number?

Is $\log(\aleph_0)$ undefined?

Modifying proof of uncountability

Suppose $E=\cup_{n=1}^{\infty}A_n$ and the cardinal number of $E$ is $c$.

What is the cardinality of $\mathbb{R^n}$ and $l^2$?

About a construction by recursion in order to prove that $|X|\leq 2^{c(X)\chi(X)}$ for $X$ Hausdorff.

Prove that $|Z(A_i)|=|Z(B_i)|$.

The cardinal number different fields function

$T_1$ space violating cardinal bound which every $T_2$ space satisfy

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