Question

Do you know a good book or study on the philosophical background of the ZFC axioms?

score 62 · Answer 1 · 2026-03-25 11:16:25

62

Views

Do you know a good book or study on the philosophical background of the ZFC axioms?

Published on 25 Mar 2026 - 11:16

score 162 · Answer 2 · 2019-07-24 20:28:16

162

Views

Is it consistent with ZF that all finitely additive probability measures on $\mathbb{N}$ are countably additive?

Published on 24 Jul 2019 - 20:28

score 38 · Answer 3 · 2019-07-26 01:02:13

38

Views

Properties of the category of sets with an operation of countably infinite arity and the axiom of countable choice

Published on 26 Jul 2019 - 1:02

score 58 · Answer 4 · 2026-03-26 23:10:52

58

Views

It is true that the criterio of comparation of sets is equivalent to Axiom choice?

Published on 26 Mar 2026 - 23:10

score 72 · Answer 5 · 2019-08-04 19:42:30

72

Views

Restatement of Axiom of choice

Published on 04 Aug 2019 - 19:42

score 61 · Answer 6 · 2026-03-29 19:49:09

61

Views

Non-maximal prime ideal that is maximal among prime ideals

Published on 29 Mar 2026 - 19:49

score 1k · Answer 7 · 2026-03-26 04:31:40

1k

Views

Zorn's lemma, every set can be well-ordered

Published on 26 Mar 2026 - 4:31

score 33 · Answer 8 · 2026-03-27 22:03:27

33

Views

An elementary question about cardinal arithmetic without AC

Published on 27 Mar 2026 - 22:03

score 45 · Answer 9 · 2019-08-11 08:29:50

45

Views

Countable set of elements chosen from Countable collection

Published on 11 Aug 2019 - 8:29

score 165 · Answer 10 · 2019-08-11 15:33:13

165

Views

Infinite choice (ZF)

Published on 11 Aug 2019 - 15:33

score 138 · Answer 11 · 2019-08-13 13:03:41

138

Views

Are there interestingly non-equivalent definitions of countability over ZF?

Published on 13 Aug 2019 - 13:03

score 233 · Answer 12 · 2026-03-25 06:12:40

233

Views

How to apply Zorn's Lemma to prove cardinalities are a total order?

Published on 25 Mar 2026 - 6:12

score 106 · Answer 13 · 2026-03-25 23:08:37

106

Views

Why is no AOC needed when proving Baire's theorem for a separable complete metric space?

Published on 25 Mar 2026 - 23:08

score 106 · Answer 14 · 2026-03-25 03:07:44

106

Views

Is choice needed to prove that there always exist a deformation in the non-obstructed case?

Published on 25 Mar 2026 - 3:07

score 207 · Answer 15 · 2019-08-19 07:24:10

207

Views

Generalization of Amorphous Sets

Published on 19 Aug 2019 - 7:24

List Question

Do you know a good book or study on the philosophical background of the ZFC axioms?

Is it consistent with ZF that all finitely additive probability measures on $\mathbb{N}$ are countably additive?

Properties of the category of sets with an operation of countably infinite arity and the axiom of countable choice

It is true that the criterio of comparation of sets is equivalent to Axiom choice?

Restatement of Axiom of choice

Non-maximal prime ideal that is maximal among prime ideals

Zorn's lemma, every set can be well-ordered

An elementary question about cardinal arithmetic without AC

Countable set of elements chosen from Countable collection

Infinite choice (ZF)

Are there interestingly non-equivalent definitions of countability over ZF?

How to apply Zorn's Lemma to prove cardinalities are a total order?

Why is no AOC needed when proving Baire's theorem for a separable complete metric space?

Is choice needed to prove that there always exist a deformation in the non-obstructed case?

Generalization of Amorphous Sets

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