Question

Partitions of the Cantor space into parities

score 168 · Answer 1 · 2026-03-25 23:37:50

168

Views

Partitions of the Cantor space into parities

Published on 25 Mar 2026 - 23:37

score 166 · Answer 2 · 2014-07-14 22:59:42

166

Views

Could induction give us an infinite sequence of sets $X_1 \subseteq X_2 \subseteq \cdots$ or do we need the axiom of choice?

Published on 14 Jul 2014 - 22:59

score 39 · Answer 3 · 2014-07-15 06:14:22

39

Views

Is the Axiom of Choice restricted to $\Bbb R$ independent of ZF?

Published on 15 Jul 2014 - 6:14

score 353 · Answer 4 · 2014-07-19 12:16:17

353

Views

infinite Cartesian products

Published on 19 Jul 2014 - 12:16

score 341 · Answer 5 · 2014-07-20 13:16:39

341

Views

Why do we need the axiom of choice in showing the non-emptiness of an infinite Cartesian product

Published on 20 Jul 2014 - 13:16

score 588 · Answer 6 · 2026-03-28 22:38:04

588

Views

Is the Axiom of Choice necessary to prove $\mathbb R \approx \mathcal P(\omega)$?

Published on 28 Mar 2026 - 22:38

score 733 · Answer 7 · 2026-03-27 01:44:44

733

Views

How do we get a simplicial homology functor?

Published on 27 Mar 2026 - 1:44

score 395 · Answer 8 · 2026-03-26 01:03:37

395

Views

An explicit construction for an everywhere discontinuous real function with $F((a+b)/2)\leq(F(a)+F(b))/2$?

Published on 26 Mar 2026 - 1:03

score 202 · Answer 9 · 2014-07-24 14:02:16

202

Views

Examples of figures whose area depend on axiom of choice

Published on 24 Jul 2014 - 14:02

score 1.5k · Answer 10 · 2014-07-25 17:22:34

1.5k

Views

Proof of: $X$ is finite $\iff X$ is Tarski-finite

Published on 25 Jul 2014 - 17:22

score 887 · Answer 11 · 2026-03-25 23:38:47

887

Views

What is the definition of the Feferman-Levy model?

Published on 25 Mar 2026 - 23:38

score 39 · Answer 12 · 2026-03-26 19:35:34

39

Views

Writing the ZF formula for the choice function (given Well-ordering)

Published on 26 Mar 2026 - 19:35

score 466 · Answer 13 · 2026-03-26 12:34:47

466

Views

Is "PA has no non-standard models" consistent with ZF?

Published on 26 Mar 2026 - 12:34

score 347 · Answer 14 · 2026-03-29 17:25:32

347

Views

Proof of "Every vector space has a basis $\implies$ AC" without mentioning von Neumann hierarchy

Published on 29 Mar 2026 - 17:25

score 286 · Answer 15 · 2014-07-30 18:30:48

286

Views

Characterization of dense open subsets of the real numbers

Published on 30 Jul 2014 - 18:30

List Question

Partitions of the Cantor space into parities

Could induction give us an infinite sequence of sets $X_1 \subseteq X_2 \subseteq \cdots$ or do we need the axiom of choice?

Is the Axiom of Choice restricted to $\Bbb R$ independent of ZF?

infinite Cartesian products

Why do we need the axiom of choice in showing the non-emptiness of an infinite Cartesian product

Is the Axiom of Choice necessary to prove $\mathbb R \approx \mathcal P(\omega)$?

How do we get a simplicial homology functor?

An explicit construction for an everywhere discontinuous real function with $F((a+b)/2)\leq(F(a)+F(b))/2$?

Examples of figures whose area depend on axiom of choice

Proof of: $X$ is finite $\iff X$ is Tarski-finite

What is the definition of the Feferman-Levy model?

Writing the ZF formula for the choice function (given Well-ordering)

Is "PA has no non-standard models" consistent with ZF?

Proof of "Every vector space has a basis $\implies$ AC" without mentioning von Neumann hierarchy

Characterization of dense open subsets of the real numbers

Trending Questions

Popular # Hahtags

Popular Questions