Question

Proving that $\omega_1$ is a limit ordinal

score 400 · Answer 1 · 2026-05-10 19:48:13

400

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Proving that $\omega_1$ is a limit ordinal

Published on 10 May 2026 - 19:48

score 2k · Answer 2 · 2026-04-14 17:58:55

2k

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Are there uncountable antichains in $\mathcal{P}(\mathbb{N})$

Published on 14 Apr 2026 - 17:58

score 5.9k · Answer 3 · 2026-04-14 07:47:09

5.9k

Views

Proof that the number of proofs is countably infinite

Published on 14 Apr 2026 - 7:47

score 128 · Answer 4 · 2026-04-11 17:46:11

128

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Bijective function from $\Bbb R$ to $\Bbb R^2$

Published on 11 Apr 2026 - 17:46

score 56 · Answer 5 · 2026-04-13 23:31:04

56

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What is the cardinality of the set of all subsets of $P(\mathbb N)$?

Published on 13 Apr 2026 - 23:31

score 47 · Answer 6 · 2026-04-15 18:15:30

What is the cardinality of $A=\{(x,y)\in \mathbb R\times \mathbb R|(x-y=\sqrt 2) \land (x+y\in \mathbb N)\}$?

score 104 · Answer 7 · 2026-04-14 05:01:29

104

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Help Find an Injective Function $f : P(\omega) \times P(\omega) \rightarrow P(\omega)$

Published on 14 Apr 2026 - 5:01

score 769 · Answer 8 · 2026-05-10 20:53:13

769

Views

About the proof that an infinite ordinal has the same cardinality as its successor

Published on 10 May 2026 - 20:53

score 223 · Answer 9 · 2026-04-15 16:01:36

223

Views

Prove Cardinality of Sets Exponentiation

Published on 15 Apr 2026 - 16:01

score 2.3k · Answer 10 · 2026-04-14 12:18:18

2.3k

Views

Cardinality of Cartesian product of infinite sets

Published on 14 Apr 2026 - 12:18

score 343 · Answer 11 · 2026-04-11 21:47:41

343

Views

Can Nedoma's pathology and other pathologies of larger measure spaces be avoided by changing the definition of sigma algebra?

Published on 11 Apr 2026 - 21:47

score 317 · Answer 12 · 2026-05-10 16:13:02

317

Views

Proof: $\kappa \cdot \kappa = \kappa$ for infinite cardinals

Published on 10 May 2026 - 16:13

score 192 · Answer 13 · 2026-04-13 17:33:43

192

Views

What is the cardinality of $P(\mathbb N)\times \mathbb R$?

Published on 13 Apr 2026 - 17:33

score 575 · Answer 14 · 2026-04-12 21:13:51

575

Views

Every uncountable subset $A$ of $\mathbb{R^n}$ has cardinality of the continuum?

Published on 12 Apr 2026 - 21:13

score 73 · Answer 15 · 2026-04-14 16:33:20

73

Views

True or False ( Countability)

Published on 14 Apr 2026 - 16:33

List Question

Proving that $\omega_1$ is a limit ordinal

Are there uncountable antichains in $\mathcal{P}(\mathbb{N})$

Proof that the number of proofs is countably infinite

Bijective function from $\Bbb R$ to $\Bbb R^2$

What is the cardinality of the set of all subsets of $P(\mathbb N)$?

What is the cardinality of $A=\{(x,y)\in \mathbb R\times \mathbb R|(x-y=\sqrt 2) \land (x+y\in \mathbb N)\}$?

Help Find an Injective Function $f : P(\omega) \times P(\omega) \rightarrow P(\omega)$

About the proof that an infinite ordinal has the same cardinality as its successor

Prove Cardinality of Sets Exponentiation

Cardinality of Cartesian product of infinite sets

Can Nedoma's pathology and other pathologies of larger measure spaces be avoided by changing the definition of sigma algebra?

Proof: $\kappa \cdot \kappa = \kappa$ for infinite cardinals

What is the cardinality of $P(\mathbb N)\times \mathbb R$?

Every uncountable subset $A$ of $\mathbb{R^n}$ has cardinality of the continuum?

True or False ( Countability)

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