Question

Cardinality of the set of internal sets

score 43 · Answer 1 · 2026-04-13 19:19:04

43

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Cardinality of the set of internal sets

Published on 13 Apr 2026 - 19:19

score 77 · Answer 2 · 2026-04-13 20:53:21

77

Views

Supremum and infimum of the product of two families of cardinal numbers

Published on 13 Apr 2026 - 20:53

score 116 · Answer 3 · 2026-04-13 02:17:37

116

Views

Infimum-supremum of products of cardinals

Published on 13 Apr 2026 - 2:17

score 89 · Answer 4 · 2026-04-14 08:56:53

89

Views

Prove $\lvert X \setminus Y \rvert = \mathfrak{c}$ if $\lvert X \rvert = \mathfrak{c} $ and $\lvert Y \rvert = \aleph_0$

Published on 14 Apr 2026 - 8:56

score 65 · Answer 5 · 2026-04-15 08:10:48

65

Views

If $|A| = |A_1| = |A_2|$ holds for infinite sets $A, A_1$ and $A_2$ where $A_1 \cap A_2 = \emptyset$, is it true that $|A| = |A_1 \cup A_2|?$

Published on 15 Apr 2026 - 8:10

score 107 · Answer 6 · 2026-04-13 19:36:22

107

Views

Countably closed forcing that collapses $\mathfrak{c} $ to$\aleph_1$

Published on 13 Apr 2026 - 19:36

score 23 · Answer 7 · 2026-04-17 12:09:01

23

Views

Number systems and Cardinality Question (to admit a bijection)

Published on 17 Apr 2026 - 12:09

score 373 · Answer 8 · 2026-04-16 02:33:17

373

Views

Any two sets of continuum cardinality are equinumerous?

Published on 16 Apr 2026 - 2:33

score 42 · Answer 9 · 2026-04-14 09:07:21

42

Views

Ordered set and ordinals

Published on 14 Apr 2026 - 9:07

score 85 · Answer 10 · 2026-04-15 01:21:19

85

Views

Possible cardinality of a set

Published on 15 Apr 2026 - 1:21

score 75 · Answer 11 · 2026-04-14 12:18:32

75

Views

We can show bijection between [a,b] and [c,d] in $\mathbb(R)$. But how can one establish an bijection between $[a,b] and (c,d)$.

Published on 14 Apr 2026 - 12:18

score 62 · Answer 12 · 2026-04-11 15:47:39

62

Views

Can every set be expressed as the union of a chain of finite subsets?

Published on 11 Apr 2026 - 15:47

score 298 · Answer 13 · 2026-04-12 09:18:36

298

Views

Cardinality of Image of Injection equals Cardinality of its Domain?

Published on 12 Apr 2026 - 9:18

score 61 · Answer 14 · 2026-04-11 08:38:38

61

Views

An proposition about onto under ZF set theory

Published on 11 Apr 2026 - 8:38

score 51 · Answer 15 · 2026-04-12 21:19:48

51

Views

Prove at least one $A_n$ cardinality has continuum c, C.H. & C.A. are not allowed

Published on 12 Apr 2026 - 21:19

List Question

Cardinality of the set of internal sets

Supremum and infimum of the product of two families of cardinal numbers

Infimum-supremum of products of cardinals

Prove $\lvert X \setminus Y \rvert = \mathfrak{c}$ if $\lvert X \rvert = \mathfrak{c} $ and $\lvert Y \rvert = \aleph_0$

If $|A| = |A_1| = |A_2|$ holds for infinite sets $A, A_1$ and $A_2$ where $A_1 \cap A_2 = \emptyset$, is it true that $|A| = |A_1 \cup A_2|?$

Countably closed forcing that collapses $\mathfrak{c} $ to$\aleph_1$

Number systems and Cardinality Question (to admit a bijection)

Any two sets of continuum cardinality are equinumerous?

Ordered set and ordinals

Possible cardinality of a set

We can show bijection between [a,b] and [c,d] in $\mathbb(R)$. But how can one establish an bijection between $[a,b] and (c,d)$.

Can every set be expressed as the union of a chain of finite subsets?

Cardinality of Image of Injection equals Cardinality of its Domain?

An proposition about onto under ZF set theory

Prove at least one $A_n$ cardinality has continuum c, C.H. & C.A. are not allowed

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