Question

Prove that cardinality of $\lvert D \rvert=2^b$ when $D=\{f \mid f:B \to A\} $

score 22 · Answer 1 · 2017-11-29 12:38:20

22

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Prove that cardinality of $\lvert D \rvert=2^b$ when $D=\{f \mid f:B \to A\} $

Published on 29 Nov 2017 - 12:38

score 3.3k · Answer 2 · 2017-11-29 17:38:31

3.3k

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Conditional probability involving boy girl scenario

Published on 29 Nov 2017 - 17:38

score 89 · Answer 3 · 2017-11-29 17:59:19

89

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Find quotient set cardinilty of $|\{0,1\}^A/R|$

Published on 29 Nov 2017 - 17:59

score 4.9k · Answer 4 · 2017-11-30 05:45:07

4.9k

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Is there a set whose power set is countably infinite?

Published on 30 Nov 2017 - 5:45

score 287 · Answer 5 · 2017-11-30 12:31:49

287

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Prove that $\left|\left(0,\infty\right)\right|=\left|\mathbb{R}\right|$

Published on 30 Nov 2017 - 12:31

score 54 · Answer 6 · 2017-11-30 17:12:19

54

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Prove that $\operatorname{Card}(\mathbb{Z}_+) = \operatorname{Card}(\{4, 6, 8, \dotso \})$

Published on 30 Nov 2017 - 17:12

score 89 · Answer 7 · 2017-12-01 20:08:01

89

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What is the maximum cardinal of a family of equidistant points from each other?

Published on 01 Dec 2017 - 20:08

score 130 · Answer 8 · 2026-04-04 04:12:37

130

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Is the intersection of a set of cardinals contained in the set?

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score 600 · Answer 9 · 2026-04-03 08:21:14

600

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Quotient set and cardinality

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score 42 · Answer 10 · 2017-12-05 00:18:13

42

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Can we make extension fields with non-finite numbers? E.g. does something like $\mathbb R (\aleph)$ make sense?

Published on 05 Dec 2017 - 0:18

score 1.8k · Answer 11 · 2026-04-02 02:04:28

1.8k

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What is $\aleph_0!$?

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score 107 · Answer 12 · 2026-04-06 00:33:58

107

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Do we have $|\mathcal P(X)|=|X^X|$ in ZF?

Published on 06 Apr 2026 - 0:33

score 371 · Answer 13 · 2026-04-06 22:33:16

371

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Is $\aleph_0 = \mathfrak{c}$?

Published on 06 Apr 2026 - 22:33

score 178 · Answer 14 · 2017-12-07 04:09:26

178

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cardinality of the euclidean n-space R

Published on 07 Dec 2017 - 4:09

score 363 · Answer 15 · 2017-12-07 16:42:20

363

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Why does $\bigoplus_{i\in\kappa}\Bbb Z$ have cardinality $\kappa$ for an infinite $\kappa$?

Published on 07 Dec 2017 - 16:42

List Question

Prove that cardinality of $\lvert D \rvert=2^b$ when $D=\{f \mid f:B \to A\} $

Conditional probability involving boy girl scenario

Find quotient set cardinilty of $|\{0,1\}^A/R|$

Is there a set whose power set is countably infinite?

Prove that $\left|\left(0,\infty\right)\right|=\left|\mathbb{R}\right|$

Prove that $\operatorname{Card}(\mathbb{Z}_+) = \operatorname{Card}(\{4, 6, 8, \dotso \})$

What is the maximum cardinal of a family of equidistant points from each other?

Is the intersection of a set of cardinals contained in the set?

Quotient set and cardinality

Can we make extension fields with non-finite numbers? E.g. does something like $\mathbb R (\aleph)$ make sense?

What is $\aleph_0!$?

Do we have $|\mathcal P(X)|=|X^X|$ in ZF?

Is $\aleph_0 = \mathfrak{c}$?

cardinality of the euclidean n-space R

Why does $\bigoplus_{i\in\kappa}\Bbb Z$ have cardinality $\kappa$ for an infinite $\kappa$?

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