Question

Cardinality of continuous functions $f:\Bbb R\to \Bbb R$

score 1.8k · Answer 1 · 2016-12-13 15:30:20

1.8k

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Cardinality of continuous functions $f:\Bbb R\to \Bbb R$

Published on 13 Dec 2016 - 15:30

score 4.3k · Answer 2 · 2016-12-13 23:29:32

4.3k

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Cardinality of the Set of all finite subset of $\mathbb{R}$

Published on 13 Dec 2016 - 23:29

score 608 · Answer 3 · 2016-12-18 12:44:18

608

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Prove that the cardinality of the set of all reflexive relations over $\Bbb N$ is $\mathfrak c$

Published on 18 Dec 2016 - 12:44

score 2.8k · Answer 4 · 2016-12-18 17:31:49

2.8k

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Set of all functions of $\mathbb N$ $\to$ $\mathbb R$

Published on 18 Dec 2016 - 17:31

score 2.3k · Answer 5 · 2026-03-28 17:40:18

2.3k

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How should I understand the formal definition of cardinal numbers using ordinal numbers

Published on 28 Mar 2026 - 17:40

score 59 · Answer 6 · 2016-12-20 22:41:08

Suppose $A$ and $B$ are sets with $\#A=\#\mathbb{Z}$ and $\#B=\#\mathbb{Z}$. (a) Prove $\#(A\cup B)=\#\mathbb{Z}$. (b) Is $\#(A\cap B)=\#\mathbb{Z}$?

score 78 · Answer 7 · 2016-12-21 16:51:13

78

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Set builder notation for representing countably infinite cartesian products

Published on 21 Dec 2016 - 16:51

score 234 · Answer 8 · 2026-03-28 17:41:21

234

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How to define the conception of a sum without the operation of addition?

Published on 28 Mar 2026 - 17:41

score 739 · Answer 9 · 2016-12-24 13:48:56

739

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How to reach $\aleph_1$ without power sets?

Published on 24 Dec 2016 - 13:48

score 205 · Answer 10 · 2016-12-25 12:20:28

205

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Calculating cardinals using Schröder–Bernstein theorem

Published on 25 Dec 2016 - 12:20

score 358 · Answer 11 · 2016-12-25 13:24:24

358

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Are these two statements true or false?

Published on 25 Dec 2016 - 13:24

score 64 · Answer 12 · 2016-12-29 18:21:49

64

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Proving with diagonal lemma

Published on 29 Dec 2016 - 18:21

score 53 · Answer 13 · 2016-12-30 10:50:09

53

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Infinite cardinals formal proof

Published on 30 Dec 2016 - 10:50

score 303 · Answer 14 · 2016-12-30 14:09:13

303

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Cardinality of monotonically decreasing functions

Published on 30 Dec 2016 - 14:09

score 173 · Answer 15 · 2016-12-30 17:31:39

173

Views

Finding cardinality of a set

Published on 30 Dec 2016 - 17:31

List Question

Cardinality of continuous functions $f:\Bbb R\to \Bbb R$

Cardinality of the Set of all finite subset of $\mathbb{R}$

Prove that the cardinality of the set of all reflexive relations over $\Bbb N$ is $\mathfrak c$

Set of all functions of $\mathbb N$ $\to$ $\mathbb R$

How should I understand the formal definition of cardinal numbers using ordinal numbers

Suppose $A$ and $B$ are sets with $\#A=\#\mathbb{Z}$ and $\#B=\#\mathbb{Z}$. (a) Prove $\#(A\cup B)=\#\mathbb{Z}$. (b) Is $\#(A\cap B)=\#\mathbb{Z}$?

Set builder notation for representing countably infinite cartesian products

How to define the conception of a sum without the operation of addition?

How to reach $\aleph_1$ without power sets?

Calculating cardinals using Schröder–Bernstein theorem

Are these two statements true or false?

Proving with diagonal lemma

Infinite cardinals formal proof

Cardinality of monotonically decreasing functions

Finding cardinality of a set

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