Question

Set theory problem: arithmetics of cardinal numbers

score 73 · Answer 1 · 2026-04-11 15:34:12

73

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Set theory problem: arithmetics of cardinal numbers

Published on 11 Apr 2026 - 15:34

score 524 · Answer 2 · 2026-04-12 23:45:38

524

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Can Peano Arithmetic show that the Continuum Hypothesis is Independent of ZFC?

Published on 12 Apr 2026 - 23:45

score 316 · Answer 3 · 2026-04-12 17:40:17

316

Views

Are uncountable dense subsets of $\mathbb{R}$ with the same cardinality homeomorphic?

Published on 12 Apr 2026 - 17:40

score 1k · Answer 4 · 2026-04-14 14:16:43

1k

Views

Does every cover of a set have a minimal subcover?

Published on 14 Apr 2026 - 14:16

score 166 · Answer 5 · 2026-04-09 06:04:39

166

Views

Determinacy of complement of set

Published on 09 Apr 2026 - 6:04

score 645 · Answer 6 · 2026-04-13 05:21:25

645

Views

FOL-Proof that "There is no set of all sets."

Published on 13 Apr 2026 - 5:21

score 349 · Answer 7 · 2026-04-16 22:23:22

349

Views

Interpreting Category axioms in Set Theory

Published on 16 Apr 2026 - 22:23

score 752 · Answer 8 · 2026-04-11 19:20:57

752

Views

Are there any new axioms being developed?

Published on 11 Apr 2026 - 19:20

score 981 · Answer 9 · 2026-04-15 11:52:24

981

Views

Proving that the class of all ordinals is well ordered under $\in$

Published on 15 Apr 2026 - 11:52

score 169 · Answer 10 · 2026-04-14 11:47:19

169

Views

Embedding $(\mathbb{R},+)$ into $(\text{Sym}(\omega),\circ)$

Published on 14 Apr 2026 - 11:47

score 90 · Answer 11 · 2026-04-13 16:50:41

90

Views

Proof that an injective system with $i\notin\textrm{ran}{f}$ has a Peano subsystem.

Published on 13 Apr 2026 - 16:50

score 310 · Answer 12 · 2026-04-14 14:02:04

310

Views

Has a counterexample to the continuum hypothesis ever turned out to be useful?

Published on 14 Apr 2026 - 14:02

score 85 · Answer 13 · 2026-04-14 13:04:36

85

Views

Exponentially-closed ordinals

Published on 14 Apr 2026 - 13:04

score 405 · Answer 14 · 2026-04-11 12:56:28

405

Views

Axiom of Choice implies Hausdorff Maximality Principle

Published on 11 Apr 2026 - 12:56

score 121 · Answer 15 · 2026-04-13 11:17:16

121

Views

$(x\in y\land y\in x)\to\bot$ in FOL

Published on 13 Apr 2026 - 11:17

List Question

Set theory problem: arithmetics of cardinal numbers

Can Peano Arithmetic show that the Continuum Hypothesis is Independent of ZFC?

Are uncountable dense subsets of $\mathbb{R}$ with the same cardinality homeomorphic?

Does every cover of a set have a minimal subcover?

Determinacy of complement of set

FOL-Proof that "There is no set of all sets."

Interpreting Category axioms in Set Theory

Are there any new axioms being developed?

Proving that the class of all ordinals is well ordered under $\in$

Embedding $(\mathbb{R},+)$ into $(\text{Sym}(\omega),\circ)$

Proof that an injective system with $i\notin\textrm{ran}{f}$ has a Peano subsystem.

Has a counterexample to the continuum hypothesis ever turned out to be useful?

Exponentially-closed ordinals

Axiom of Choice implies Hausdorff Maximality Principle

$(x\in y\land y\in x)\to\bot$ in FOL

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