Question

Axiom of Choice needed to "categorify" the cardinals?

score 369 · Answer 1 · 2015-12-20 21:05:54

369

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Axiom of Choice needed to "categorify" the cardinals?

Published on 20 Dec 2015 - 21:05

score 62 · Answer 2 · 2015-12-23 11:06:23

62

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Prob 2(d) Sec 9, in Munkres' TOPOLOGY 2nd edition: Is it possible to construct a choice function?

Published on 23 Dec 2015 - 11:06

score 2.1k · Answer 3 · 2015-12-23 18:57:07

2.1k

Views

What's an example of a vector space that doesn't have a basis if we don't accept Choice?

Published on 23 Dec 2015 - 18:57

score 98 · Answer 4 · 2015-12-26 17:42:54

98

Views

Axiom Of Choice to create a sequence of right inverses

Published on 26 Dec 2015 - 17:42

score 582 · Answer 5 · 2026-03-26 07:35:29

582

Views

Does the law of the excluded middle imply the existence of "intangibles"?

Published on 26 Mar 2026 - 7:35

score 51 · Answer 6 · 2015-12-29 15:42:05

How Does the Following Definition of the Axiom of Choise Entail that Elements Are Simultaneously Chosen from an Infinite Collection of Nonempty Sets

score 392 · Answer 7 · 2026-03-28 06:24:02

392

Views

Existence of mathematical objets constructed using the axiom of choice

Published on 28 Mar 2026 - 6:24

score 142 · Answer 8 · 2026-03-31 17:46:40

142

Views

Proof: Every lattice has a maximal filter iff AC

Published on 31 Mar 2026 - 17:46

score 264 · Answer 9 · 2016-01-09 17:49:35

264

Views

Ordinal with given cardinality (without AC)

Published on 09 Jan 2016 - 17:49

score 374 · Answer 10 · 2016-01-12 05:50:38

374

Views

Countable cartesian product and Axiom of Choice

Published on 12 Jan 2016 - 5:50

score 77 · Answer 11 · 2016-01-13 19:38:14

77

Views

Proving implication on well ordered set implies AC

Published on 13 Jan 2016 - 19:38

score 420 · Answer 12 · 2016-01-17 19:01:05

420

Views

What is the first order formulation of Zorn's lemma in the language of set theory?

Published on 17 Jan 2016 - 19:01

score 146 · Answer 13 · 2016-01-19 04:46:07

146

Views

$|A^2|=|A|$ for every infinite $A$ iff Axiom of Choice holds.

Published on 19 Jan 2016 - 4:46

score 2k · Answer 14 · 2026-03-30 16:54:23

2k

Views

The smallest infinity and the axiom of choice

Published on 30 Mar 2026 - 16:54

score 640 · Answer 15 · 2026-03-30 16:57:26

640

Views

How can one prove the axiom of collection in ZFC without using the axiom of foundation?

Published on 30 Mar 2026 - 16:57

List Question

Axiom of Choice needed to "categorify" the cardinals?

Prob 2(d) Sec 9, in Munkres' TOPOLOGY 2nd edition: Is it possible to construct a choice function?

What's an example of a vector space that doesn't have a basis if we don't accept Choice?

Axiom Of Choice to create a sequence of right inverses

Does the law of the excluded middle imply the existence of "intangibles"?

How Does the Following Definition of the Axiom of Choise Entail that Elements Are Simultaneously Chosen from an Infinite Collection of Nonempty Sets

Existence of mathematical objets constructed using the axiom of choice

Proof: Every lattice has a maximal filter iff AC

Ordinal with given cardinality (without AC)

Countable cartesian product and Axiom of Choice

Proving implication on well ordered set implies AC

What is the first order formulation of Zorn's lemma in the language of set theory?

$|A^2|=|A|$ for every infinite $A$ iff Axiom of Choice holds.

The smallest infinity and the axiom of choice

How can one prove the axiom of collection in ZFC without using the axiom of foundation?

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