List questions from axiom-of-choice

Published on 13 Sep 2022 - 23:17

46

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Axiom of Choice equivalence: is my proof correct?

Published on 16 Sep 2022 - 3:23

125

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Existence of a bijective choice function $f:\tau\rightarrow \mathbb{R}$

Published on 16 Sep 2022 - 23:57

213

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Where is choice used in "Every category monadic over Set is regular"

Published on 02 Apr 2026 - 3:46

40

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Consistency of amorphous sets with $ZF + AC_\omega$

Published on 09 Apr 2026 - 11:10

168

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Konig's tree lemma without using axiom of dependent choice

Published on 20 Sep 2022 - 19:42

58

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An proposition about onto under ZF set theory

Published on 21 Sep 2022 - 20:46

104

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Dummit & Foote Exercise 10.1.13 - Zorn's Lemma necessary?

Published on 25 Sep 2022 - 2:15

138

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ZFC and the Axiom of Choice.

Published on 27 Sep 2022 - 2:55

58

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$ZF + AC_\omega$ prove the propositional compactness theorem for arbitrary languages

Published on 29 Sep 2022 - 16:31

233

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Are infinite Dedekind-finite cardinals “cancellable” in $\sf ZF$?

Published on 08 Apr 2026 - 18:41

255

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Understanding where in this proof I use the axiom of choice

Published on 05 Oct 2022 - 4:27

54

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The existence of a choice function when every $X\in S$ is a singleton $X =\{x\}$

Published on 10 Oct 2022 - 11:55

29

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Why can’t Zorn’s lemma be used to show any module has maximal submodule

Published on 25 Mar 2026 - 18:51

376

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Without axiom of choice, why can't we choose a random element for each set in an infinite collection of sets

Published on 10 Oct 2022 - 22:54

List Question

Equivalent definitions of Dedekind-finite sets

Axiom of Choice equivalence: is my proof correct?

Existence of a bijective choice function $f:\tau\rightarrow \mathbb{R}$

Where is choice used in "Every category monadic over Set is regular"

Consistency of amorphous sets with $ZF + AC_\omega$

Konig's tree lemma without using axiom of dependent choice

An proposition about onto under ZF set theory

Dummit & Foote Exercise 10.1.13 - Zorn's Lemma necessary?

ZFC and the Axiom of Choice.

$ZF + AC_\omega$ prove the propositional compactness theorem for arbitrary languages

Are infinite Dedekind-finite cardinals “cancellable” in $\sf ZF$?

Understanding where in this proof I use the axiom of choice

The existence of a choice function when every $X\in S$ is a singleton $X =\{x\}$

Why can’t Zorn’s lemma be used to show any module has maximal submodule

Without axiom of choice, why can't we choose a random element for each set in an infinite collection of sets

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