Question

Equivalence of definitions of regular cardinals

score 58 · Answer 1 · 2026-04-09 01:10:03

58

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Equivalence of definitions of regular cardinals

Published on 09 Apr 2026 - 1:10

score 252 · Answer 2 · 2026-04-16 00:02:14

252

Views

Show that the sequence $(-1)^{n}$ has uncountably many subsequences.

Published on 16 Apr 2026 - 0:02

score 58 · Answer 3 · 2026-04-16 18:41:48

58

Views

Cardinality of a collection consisting of subsets of an infinite set

Published on 16 Apr 2026 - 18:41

score 97 · Answer 4 · 2026-04-10 03:52:08

97

Views

Cardinality of $H(\kappa)$

Published on 10 Apr 2026 - 3:52

score 63 · Answer 5 · 2026-04-11 08:39:05

63

Views

Sets that are divisible by 2 without the axiom of choice

Published on 11 Apr 2026 - 8:39

score 104 · Answer 6 · 2026-04-13 23:36:17

104

Views

What's the groupification of the cardinal numbers (without using AC)?

Published on 13 Apr 2026 - 23:36

score 100 · Answer 7 · 2026-04-15 03:09:03

100

Views

Cardinal inequality question used in Silver's theorem proof

Published on 15 Apr 2026 - 3:09

score 95 · Answer 8 · 2026-04-13 21:27:49

95

Views

Proposition: The union of two finite sets is finite. (proving without induction)

Published on 13 Apr 2026 - 21:27

score 56 · Answer 9 · 2026-04-13 17:28:25

56

Views

Cardinal inequality question used in proof of Silver's theorem

Published on 13 Apr 2026 - 17:28

score 76 · Answer 10 · 2026-04-15 08:44:19

76

Views

Prove that there are 2^c measurable sets in every interval.

Published on 15 Apr 2026 - 8:44

score 93 · Answer 11 · 2026-04-11 23:23:43

93

Views

$(\kappa \times 2,<_{lex}) \cong (\kappa,\in )$ for cardinal numbes $\kappa$.

Published on 11 Apr 2026 - 23:23

score 512 · Answer 12 · 2026-04-15 07:03:04

512

Views

When does $|X^n|\leq |k^X|$ without the axiom of Choice?

Published on 15 Apr 2026 - 7:03

score 108 · Answer 13 · 2026-04-16 06:41:43

108

Views

How can I prove $|A_1 \cup A_2 \cup ... \cup A_n|=|A_1|+|A_2|+...+|A_n|$ using induction?

Published on 16 Apr 2026 - 6:41

score 16 · Answer 14 · 2026-04-09 03:05:41

16

Views

Question about frequency moments

Published on 09 Apr 2026 - 3:05

score 44 · Answer 15 · 2026-04-17 14:20:45

44

Views

Let $T=\{c_m\neq c_n: m,n\in \mathbb{N}, m\neq n \}$ in the language $L=\{c_n : n\in \mathbb{N}\}$. Prove that T is not $\aleph_0$-categorical.

Published on 17 Apr 2026 - 14:20

List Question

Equivalence of definitions of regular cardinals

Show that the sequence $(-1)^{n}$ has uncountably many subsequences.

Cardinality of a collection consisting of subsets of an infinite set

Cardinality of $H(\kappa)$

Sets that are divisible by 2 without the axiom of choice

What's the groupification of the cardinal numbers (without using AC)?

Cardinal inequality question used in Silver's theorem proof

Proposition: The union of two finite sets is finite. (proving without induction)

Cardinal inequality question used in proof of Silver's theorem

Prove that there are 2^c measurable sets in every interval.

$(\kappa \times 2,<_{lex}) \cong (\kappa,\in )$ for cardinal numbes $\kappa$.

When does $|X^n|\leq |k^X|$ without the axiom of Choice?

How can I prove $|A_1 \cup A_2 \cup ... \cup A_n|=|A_1|+|A_2|+...+|A_n|$ using induction?

Question about frequency moments

Let $T=\{c_m\neq c_n: m,n\in \mathbb{N}, m\neq n \}$ in the language $L=\{c_n : n\in \mathbb{N}\}$. Prove that T is not $\aleph_0$-categorical.

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