User Asaf Karagila

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A simple form of choice

answered Mar 3, 2021 at 21:04

5 votes

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Where do the universe embedds to in Reinhardt's cardinals setting?

answered Dec 21, 2022 at 8:57

5 votes

Proper class of inaccessibles and 1-inaccessible cardinals

answered Dec 30, 2022 at 20:26

5 votes

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Is existence of this set consistent with Zermelo set theory minus choice?

answered Apr 17, 2021 at 8:07

5 votes

How much choice is needed to prove this statement?

answered Nov 15, 2021 at 10:45

5 votes

Do choice principles in all generic extensions imply AC in $V$?

answered Dec 23, 2021 at 19:28

5 votes

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$\mathtt{PSP}$ holding only for sets of cardinality $\mathfrak{c}$

answered May 3, 2022 at 10:58

5 votes

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How much choice does a linear or well-order on cardinals imply?

answered Jan 9, 2016 at 20:18

5 votes

Critical points in $ZF$ without Choice

answered Jun 21, 2016 at 15:36

5 votes

Well-ordering of power set of $\omega$

answered Jun 22, 2016 at 9:16

5 votes

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A question about Cantor's Power Set theorem without the Axiom of Choice

answered Apr 28, 2015 at 19:16

5 votes

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Intermediate submodels which do not satisfy AC

answered Feb 13, 2014 at 8:10

5 votes

In $L$, does there exist a definable non-principal ultrafilter on $\mathbb{N}$

answered Jan 21, 2014 at 7:50

5 votes

Minimal Generalized Continuum Hypothesis & Axiom of Choice

answered Nov 30, 2013 at 7:50

5 votes

Prime numbers and limit ordinals

answered Dec 3, 2013 at 14:36

5 votes

Possible Choices for Cofinality of $\aleph_n$ without Choice

answered Nov 6, 2013 at 11:26

5 votes

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Consistency Strength of the Failure of Square on Singular Cardinals

answered Nov 8, 2013 at 11:42

5 votes

Is there an inner model between two distinct inner models of ZFC?

answered Sep 21, 2013 at 13:22

5 votes

what axioms are between AC and Countable choice !

answered Jan 4, 2013 at 20:47

5 votes

Accepted

Equivalent Forms of AC

answered Jan 6, 2013 at 13:21

5 votes

Periodic point-free maps and free ultrafilters.

answered Mar 11, 2013 at 1:59

5 votes

Compact Hausdorff spaces without isolated points in ZF

answered Jan 30, 2013 at 0:31

5 votes

Objects which can't be defined without making choices but which end up independent of the choice

answered May 20, 2013 at 22:35

5 votes

Smallest base to reach partial recursive functions as a closure of unbound search

answered May 6, 2013 at 12:29

5 votes

Suggestions for wiki farm with good latex support

answered Jul 10, 2010 at 8:15

4 votes

Are metrics borel measurable functions?

answered Aug 15, 2011 at 12:05

4 votes

Most 'unintuitive' application of the Axiom of Choice?

answered Jul 14, 2011 at 23:36

4 votes

Axiom of Choice and Vitali's theorem

answered May 18, 2012 at 18:17

4 votes

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Surjective Maps onto $\aleph$-numbers

answered Jan 9, 2012 at 0:53

4 votes

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Cardinals without choice: interpolation (reference wanted)

answered May 15, 2013 at 23:09

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296 Answers

A simple form of choice

Where do the universe embedds to in Reinhardt's cardinals setting?

Proper class of inaccessibles and 1-inaccessible cardinals

Is existence of this set consistent with Zermelo set theory minus choice?

How much choice is needed to prove this statement?

Do choice principles in all generic extensions imply AC in $V$?

$\mathtt{PSP}$ holding only for sets of cardinality $\mathfrak{c}$

How much choice does a linear or well-order on cardinals imply?

Critical points in $ZF$ without Choice

Well-ordering of power set of $\omega$

A question about Cantor's Power Set theorem without the Axiom of Choice

Intermediate submodels which do not satisfy AC

In $L$, does there exist a definable non-principal ultrafilter on $\mathbb{N}$

Minimal Generalized Continuum Hypothesis & Axiom of Choice

Prime numbers and limit ordinals

Possible Choices for Cofinality of $\aleph_n$ without Choice

Consistency Strength of the Failure of Square on Singular Cardinals

Is there an inner model between two distinct inner models of ZFC?

what axioms are between AC and Countable choice !

Equivalent Forms of AC

Periodic point-free maps and free ultrafilters.

Compact Hausdorff spaces without isolated points in ZF

Objects which can't be defined without making choices but which end up independent of the choice

Smallest base to reach partial recursive functions as a closure of unbound search

Suggestions for wiki farm with good latex support

Are metrics borel measurable functions?

Most 'unintuitive' application of the Axiom of Choice?

Axiom of Choice and Vitali's theorem

Surjective Maps onto $\aleph$-numbers

Cardinals without choice: interpolation (reference wanted)