Question

Iff propositions where both directions require choice?

score 62 · Answer 1 · 2026-03-29 04:33:55

62

Views

Iff propositions where both directions require choice?

Published on 29 Mar 2026 - 4:33

score 90 · Answer 2 · 2023-05-30 09:15:29

90

Views

Is choice provable if we add parameter free definability to ZF?

Published on 30 May 2023 - 9:15

score 123 · Answer 3 · 2023-05-31 14:03:20

123

Views

$\bigcap\limits_{\varphi\in E^*}\ker(\varphi)$ and the Axiom of Choise

Published on 31 May 2023 - 14:03

score 56 · Answer 4 · 2023-06-04 14:49:25

56

Views

Proving two formulations of the Axiom of Choice are equivalent (existence of choice function vs selecting from pairwise disjoint sets)

Published on 04 Jun 2023 - 14:49

score 151 · Answer 5 · 2026-03-26 22:58:21

151

Views

Existence of a canonical bijection between $G/H \times H/K$ and $G/K$

Published on 26 Mar 2026 - 22:58

score 121 · Answer 6 · 2023-06-08 21:46:28

121

Views

Exercise 9.1 of Munkres: Axiom of choice

Published on 08 Jun 2023 - 21:46

score 120 · Answer 7 · 2023-06-12 15:07:04

120

Views

Axiom of choice for lifting infinitary operation

Published on 12 Jun 2023 - 15:07

score 53 · Answer 8 · 2023-06-13 13:18:30

53

Views

Set that cannot be totally ordered without axiom of choice

Published on 13 Jun 2023 - 13:18

score 79 · Answer 9 · 2026-04-01 14:43:31

79

Views

Riemann integral on a countable union of Jordan measurable sets without AC

Published on 01 Apr 2026 - 14:43

score 114 · Answer 10 · 2023-06-21 15:09:47

114

Views

How does $\neg$AC lead to a partition of the reals with more parts than reals?

Published on 21 Jun 2023 - 15:09

score 77 · Answer 11 · 2023-06-23 23:17:46

77

Views

Creating a sequence of functions using the axiom of choice

Published on 23 Jun 2023 - 23:17

score 80 · Answer 12 · 2023-06-25 20:18:47

80

Views

Prove with induction, without using the axiom of countable choice that a sequence exists

Published on 25 Jun 2023 - 20:18

score 205 · Answer 13 · 2023-06-26 12:43:26

205

Views

When can you subtract cardinals? Does $|A|+|C|=|B|+|C|>|C|$ imply $|A|=|B|$ in ZF?

Published on 26 Jun 2023 - 12:43

score 94 · Answer 14 · 2023-07-09 06:43:17

94

Views

Can amorphous set and AC for finite sets coexist?

Published on 09 Jul 2023 - 6:43

score 20 · Answer 15 · 2023-07-09 11:00:43

20

Views

Axiom of countable choice and injective functions

Published on 09 Jul 2023 - 11:00

List Question

Iff propositions where both directions require choice?

Is choice provable if we add parameter free definability to ZF?

$\bigcap\limits_{\varphi\in E^*}\ker(\varphi)$ and the Axiom of Choise

Proving two formulations of the Axiom of Choice are equivalent (existence of choice function vs selecting from pairwise disjoint sets)

Existence of a canonical bijection between $G/H \times H/K$ and $G/K$

Exercise 9.1 of Munkres: Axiom of choice

Axiom of choice for lifting infinitary operation

Set that cannot be totally ordered without axiom of choice

Riemann integral on a countable union of Jordan measurable sets without AC

How does $\neg$AC lead to a partition of the reals with more parts than reals?

Creating a sequence of functions using the axiom of choice

Prove with induction, without using the axiom of countable choice that a sequence exists

When can you subtract cardinals? Does $|A|+|C|=|B|+|C|>|C|$ imply $|A|=|B|$ in ZF?

Can amorphous set and AC for finite sets coexist?

Axiom of countable choice and injective functions

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