Question

Symmetric difference as a equivalent relation-equivalence classes

score 380 · Answer 1 · 2026-04-29 12:28:56

380

Views

Symmetric difference as a equivalent relation-equivalence classes

Published on 29 Apr 2026 - 12:28

score 272 · Answer 2 · 2026-04-29 12:54:28

272

Views

Show that $\aleph_{\alpha}^{\aleph_{1}} = \aleph_{\alpha}^{\aleph_{0}}\cdot 2^{\aleph_1}$

Published on 29 Apr 2026 - 12:54

score 145 · Answer 3 · 2026-04-29 12:54:39

145

Views

Is there an uncountable cardinal number of cofinality $\aleph_0$?

Published on 29 Apr 2026 - 12:54

score 88 · Answer 4 · 2026-04-29 12:54:52

88

Views

How many units squares can fit on $\mathbb R^2$?

Published on 29 Apr 2026 - 12:54

score 97 · Answer 5 · 2026-04-29 12:54:21

97

Views

Show that for each $k\in\Bbb{N}$, $\Bbb{N}_k$ is finite

Published on 29 Apr 2026 - 12:54

score 156 · Answer 6 · 2026-05-07 17:26:05

156

Views

Cardinality of powers of infinite sets

Published on 07 May 2026 - 17:26

score 201 · Answer 7 · 2026-04-29 12:54:20

201

Views

Find the cardinality of this set: $\{x \subseteq \mathbb R : |x| < \aleph_o\}$

Published on 29 Apr 2026 - 12:54

score 69 · Answer 8 · 2026-04-29 12:54:24

69

Views

Let $A,B$ be some sets such that $|A|=a, |B|=b$. Prove $\binom{a}{b}=|P_b(A)|$ is a well defined expression.

Published on 29 Apr 2026 - 12:54

score 589 · Answer 9 · 2026-04-29 12:54:43

589

Views

Find the cardinality of the set of all continuous real-valued functions of one variable.

Published on 29 Apr 2026 - 12:54

score 108 · Answer 10 · 2026-04-29 12:54:27

108

Views

How many finite sequences of real numbers are there?

Published on 29 Apr 2026 - 12:54

score 233 · Answer 11 · 2026-04-29 12:32:23

233

Views

Can every uncountable cardinal be realized as a cofinality?

Published on 29 Apr 2026 - 12:32

score 88 · Answer 12 · 2026-05-05 05:24:07

88

Views

1:1 Matching with Uncountable Sets

Published on 05 May 2026 - 5:24

score 148 · Answer 13 · 2026-05-02 18:32:19

148

Views

Is the style of _Scott 1967_ outdated in discussing continuum hypothesis in a probability space?

Published on 02 May 2026 - 18:32

score 62 · Answer 14 · 2026-04-29 12:53:49

62

Views

Show that $\delta_\eta=\aleph_{\delta_\eta}$ for all limit ordinals

Published on 29 Apr 2026 - 12:53

score 1.4k · Answer 15 · 2026-04-29 12:54:33

1.4k

Views

Show that for a finite set $A$ of cardinality $n$, the cardinality of $P(A)$ is $2^n$.

Published on 29 Apr 2026 - 12:54

List Question

Symmetric difference as a equivalent relation-equivalence classes

Show that $\aleph_{\alpha}^{\aleph_{1}} = \aleph_{\alpha}^{\aleph_{0}}\cdot 2^{\aleph_1}$

Is there an uncountable cardinal number of cofinality $\aleph_0$?

How many units squares can fit on $\mathbb R^2$?

Show that for each $k\in\Bbb{N}$, $\Bbb{N}_k$ is finite

Cardinality of powers of infinite sets

Find the cardinality of this set: $\{x \subseteq \mathbb R : |x| < \aleph_o\}$

Let $A,B$ be some sets such that $|A|=a, |B|=b$. Prove $\binom{a}{b}=|P_b(A)|$ is a well defined expression.

Find the cardinality of the set of all continuous real-valued functions of one variable.

How many finite sequences of real numbers are there?

Can every uncountable cardinal be realized as a cofinality?

1:1 Matching with Uncountable Sets

Is the style of _Scott 1967_ outdated in discussing continuum hypothesis in a probability space?

Show that $\delta_\eta=\aleph_{\delta_\eta}$ for all limit ordinals

Show that for a finite set $A$ of cardinality $n$, the cardinality of $P(A)$ is $2^n$.

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