Question

Symmetric difference as a equivalent relation-equivalence classes

score 377 · Answer 1 · 2026-03-24 23:51:03

377

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Symmetric difference as a equivalent relation-equivalence classes

Published on 24 Mar 2026 - 23:51

score 268 · Answer 2 · 2018-01-29 14:12:37

268

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

Published on 29 Jan 2018 - 14:12

score 140 · Answer 3 · 2026-03-17 23:21:54

140

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

Published on 17 Mar 2026 - 23:21

score 84 · Answer 4 · 2026-03-17 14:46:19

84

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

Published on 17 Mar 2026 - 14:46

score 94 · Answer 5 · 2026-03-17 18:24:35

94

Views

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

Published on 17 Mar 2026 - 18:24

score 145 · Answer 6 · 2026-03-19 19:40:46

145

Views

Cardinality of powers of infinite sets

Published on 19 Mar 2026 - 19:40

score 198 · Answer 7 · 2026-03-23 16:48:35

198

Views

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

Published on 23 Mar 2026 - 16:48

score 66 · Answer 8 · 2026-03-23 18:20:19

66

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 23 Mar 2026 - 18:20

score 586 · Answer 9 · 2018-02-05 14:01:57

586

Views

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

Published on 05 Feb 2018 - 14:01

score 105 · Answer 10 · 2026-03-24 02:33:21

105

Views

How many finite sequences of real numbers are there?

Published on 24 Mar 2026 - 2:33

score 230 · Answer 11 · 2026-03-25 01:23:51

230

Views

Can every uncountable cardinal be realized as a cofinality?

Published on 25 Mar 2026 - 1:23

score 84 · Answer 12 · 2026-03-24 23:42:46

84

Views

1:1 Matching with Uncountable Sets

Published on 24 Mar 2026 - 23:42

score 138 · Answer 13 · 2026-03-22 23:37:29

138

Views

Is the style of _Scott 1967_ outdated in discussing continuum hypothesis in a probability space?

Published on 22 Mar 2026 - 23:37

score 58 · Answer 14 · 2026-03-17 19:46:31

58

Views

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

Published on 17 Mar 2026 - 19:46

score 1.4k · Answer 15 · 2026-03-23 20:25:40

1.4k

Views

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

Published on 23 Mar 2026 - 20:25

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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