Question

Possible cardinalities of the union of two sets

score 1.4k · Answer 1 · 2016-03-13 01:18:19

1.4k

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Possible cardinalities of the union of two sets

Published on 13 Mar 2016 - 1:18

score 47 · Answer 2 · 2016-03-16 13:35:15

47

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linear independent set - $|Z|=|W|$

Published on 16 Mar 2016 - 13:35

score 67 · Answer 3 · 2026-04-02 15:11:15

67

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Cartesian and Inclusion-exclusion cardinality

Published on 02 Apr 2026 - 15:11

score 51 · Answer 4 · 2016-03-18 18:46:55

51

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Equal sets have power sets of equal order?

Published on 18 Mar 2016 - 18:46

score 72 · Answer 5 · 2016-03-18 19:14:21

72

Views

Sets with cardinality strictly greater an c

Published on 18 Mar 2016 - 19:14

score 98 · Answer 6 · 2016-03-20 18:42:16

98

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What is the cardinality of the set of all $\sigma$-algebra containing $\mathcal{B}$

Published on 20 Mar 2016 - 18:42

score 74 · Answer 7 · 2016-03-21 18:22:03

74

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Proving $x\preceq y \implies \bar{\bar{x}} \leq \bar{\bar{y}}$ in cardinal arithmetic

Published on 21 Mar 2016 - 18:22

score 969 · Answer 8 · 2016-03-22 00:25:44

969

Views

Let a, b, c, d be real numbers such that a < b and c < d. Prove that |[a,b] x [c,d]| = c

Published on 22 Mar 2016 - 0:25

score 566 · Answer 9 · 2016-03-22 18:21:45

566

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What is the cardinality of the topology on $\mathbb{R}$?

Published on 22 Mar 2016 - 18:21

score 2.2k · Answer 10 · 2016-03-24 17:59:17

2.2k

Views

Let $S$ and $T$ be sets such that $|S|=|T|$, prove that $|P(S)|=|P(T)|$

Published on 24 Mar 2016 - 17:59

score 429 · Answer 11 · 2016-03-24 19:06:51

429

Views

Cardinality of a line segment

Published on 24 Mar 2016 - 19:06

score 1000 · Answer 12 · 2016-03-25 13:33:51

1000

Views

Attempt at proving the class of all cardinals is a proper class

Published on 25 Mar 2016 - 13:33

score 38 · Answer 13 · 2016-03-28 17:54:36

38

Views

Having trouble understanding aspects of cardinality.

Published on 28 Mar 2016 - 17:54

score 483 · Answer 14 · 2016-03-29 09:57:54

483

Views

Construct an injective function $f:[a,b]\times[c,d]\rightarrow\mathbb{R}$ for some $a,b,c,d\in\mathbb{R}$

Published on 29 Mar 2016 - 9:57

score 85 · Answer 15 · 2026-04-03 19:16:35

85

Views

Impossibility of constructing a continuum-size linearly independent set in $\Bbb R$

Published on 03 Apr 2026 - 19:16

List Question

Possible cardinalities of the union of two sets

linear independent set - $|Z|=|W|$

Cartesian and Inclusion-exclusion cardinality

Equal sets have power sets of equal order?

Sets with cardinality strictly greater an c

What is the cardinality of the set of all $\sigma$-algebra containing $\mathcal{B}$

Proving $x\preceq y \implies \bar{\bar{x}} \leq \bar{\bar{y}}$ in cardinal arithmetic

Let a, b, c, d be real numbers such that a < b and c < d. Prove that |[a,b] x [c,d]| = c

What is the cardinality of the topology on $\mathbb{R}$?

Let $S$ and $T$ be sets such that $|S|=|T|$, prove that $|P(S)|=|P(T)|$

Cardinality of a line segment

Attempt at proving the class of all cardinals is a proper class

Having trouble understanding aspects of cardinality.

Construct an injective function $f:[a,b]\times[c,d]\rightarrow\mathbb{R}$ for some $a,b,c,d\in\mathbb{R}$

Impossibility of constructing a continuum-size linearly independent set in $\Bbb R$

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