Question

Showing that $\kappa^+ \leq 2^\kappa$ in ZF.

score 104 · Answer 1 · 2026-04-14 01:02:31

104

Views

Showing that $\kappa^+ \leq 2^\kappa$ in ZF.

Published on 14 Apr 2026 - 1:02

score 209 · Answer 2 · 2026-04-16 18:12:51

209

Views

There is no ordinal $\beta$ such that $2^{\aleph_\alpha} = \aleph_{\alpha\beta}$ for all ordinals $\alpha > 0$.

Published on 16 Apr 2026 - 18:12

score 92 · Answer 3 · 2026-04-09 08:02:50

92

Views

Finding $A \subseteq \omega_1$ such that $\omega_1^{L[A]} = \omega_1$ and $\omega_2^{L[A]} = \omega_2$

Published on 09 Apr 2026 - 8:02

score 127 · Answer 4 · 2026-04-12 21:30:18

127

Views

Proving the equality of two cardinals.

Published on 12 Apr 2026 - 21:30

score 40 · Answer 5 · 2026-04-15 18:08:19

40

Views

Prove that the cardinality of $\mathbb{N}^{\mathbb{N}_2}$ countable.

Published on 15 Apr 2026 - 18:08

score 188 · Answer 6 · 2026-04-13 10:40:37

188

Views

Cardinality of the set of strict total orders on $\mathbb{R}$

Published on 13 Apr 2026 - 10:40

score 99 · Answer 7 · 2026-04-14 06:03:00

99

Views

some cardinal arithmetic

Published on 14 Apr 2026 - 6:03

score 720 · Answer 8 · 2026-04-13 18:43:41

720

Views

How could we use the continuum hypothesis if we are able prove its truth?

Published on 13 Apr 2026 - 18:43

score 46 · Answer 9 · 2026-04-12 10:35:40

46

Views

$\alpha<\beth_\omega\implies 2^\alpha<\beth_\omega$

Published on 12 Apr 2026 - 10:35

score 30 · Answer 10 · 2026-04-11 16:45:19

30

Views

Number of elements in $Z^n$ with norm 2 less than some positive B

Published on 11 Apr 2026 - 16:45

score 119 · Answer 11 · 2026-04-09 16:56:30

119

Views

Is it meaningful to invert large cardinals?

Published on 09 Apr 2026 - 16:56

score 22 · Answer 12 · 2026-04-14 14:48:24

22

Views

Isomorphism between a cart. graph product and one of its factors implies there was only one factor

Published on 14 Apr 2026 - 14:48

score 180 · Answer 13 · 2026-04-17 15:28:18

180

Views

What is the cardinality of the set of all binary trees defined over the natural numbers?

Published on 17 Apr 2026 - 15:28

score 105 · Answer 14 · 2026-04-16 13:09:30

105

Views

$\bigcup A$ has same cardinality as $\bigcup B$ if every member of $A$ and $B$ are infinite and has same cardinality

Published on 16 Apr 2026 - 13:09

score 59 · Answer 15 · 2026-04-12 10:39:18

59

Views

What's wrong with this proof that $|\omega_1|\ge2^{\aleph_0}$?

Published on 12 Apr 2026 - 10:39

List Question

Showing that $\kappa^+ \leq 2^\kappa$ in ZF.

There is no ordinal $\beta$ such that $2^{\aleph_\alpha} = \aleph_{\alpha\beta}$ for all ordinals $\alpha > 0$.

Finding $A \subseteq \omega_1$ such that $\omega_1^{L[A]} = \omega_1$ and $\omega_2^{L[A]} = \omega_2$

Proving the equality of two cardinals.

Prove that the cardinality of $\mathbb{N}^{\mathbb{N}_2}$ countable.

Cardinality of the set of strict total orders on $\mathbb{R}$

some cardinal arithmetic

How could we use the continuum hypothesis if we are able prove its truth?

$\alpha<\beth_\omega\implies 2^\alpha<\beth_\omega$

Number of elements in $Z^n$ with norm 2 less than some positive B

Is it meaningful to invert large cardinals?

Isomorphism between a cart. graph product and one of its factors implies there was only one factor

What is the cardinality of the set of all binary trees defined over the natural numbers?

$\bigcup A$ has same cardinality as $\bigcup B$ if every member of $A$ and $B$ are infinite and has same cardinality

What's wrong with this proof that $|\omega_1|\ge2^{\aleph_0}$?

Trending Questions

Popular # Hahtags

Popular Questions