User Asaf Karagila

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

Is Extreme Parameter Free ZFC equivalent to ZFC?

answered Nov 20, 2016 at 21:35

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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Maximal chains and antichains of statements weaker than AC

answered Dec 27, 2015 at 23:26

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

4 votes

Is it inconsistent for a model of set theory to contain its own first order theory?

answered Jun 10, 2016 at 21:08

4 votes

How "strong" is the existence of a non trivial ultrafilter on $\omega$?

answered Dec 29, 2016 at 14:21

4 votes

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If all reals are generic, is the set of reals generic?

answered Oct 19, 2015 at 8:07

4 votes

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(Maximal) almost disjoint families of true cardinality ${\frak c}$

answered May 25, 2022 at 21:08

4 votes

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Can a stage of the cumulative hierarchy violate the partition principle?

answered Jun 10, 2022 at 10:00

4 votes

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Existence of a branch of limit ordinal length

answered Sep 21, 2022 at 9:59

4 votes

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Infinite decreasing sequence for class relation without minimal elements

answered Feb 15, 2023 at 10:42

4 votes

Can we choose an element from a class?

answered Mar 24, 2021 at 19:26

4 votes

Accepted

Maximality principle in symmetric extensions

answered Jun 21, 2020 at 11:21

4 votes

Is acyclic ZF consistent?

answered Feb 15, 2021 at 23:49

4 votes

Strength of some claims about finitely additive measures on infinite sets?

answered Nov 13, 2013 at 17:27

4 votes

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Is definability of a basis for $\mathbb{R^N}$ independent of ZFC?

answered Nov 18, 2013 at 21:13

4 votes

On wild behavior of $\omega_{1}$ in the absence of some essential axioms of $ZFC$

answered Oct 17, 2013 at 22:49

4 votes

Joint Forcing Extension Property

answered Nov 25, 2013 at 18:45

4 votes

Possible Choices for Cofinality of $\aleph_n$ without Choice

answered Nov 6, 2013 at 11:26

4 votes

Reverse Skolem's paradox

answered Mar 10, 2015 at 10:54

4 votes

Independence of the countable axiom of choice

answered Mar 14, 2015 at 20:44

4 votes

Why doesn't choice imply global choice (in NBG)?

answered Mar 25, 2014 at 7:14

4 votes

is the existence of an inaccessible cardinal stronger than just CON(ZFC)?

answered Mar 25, 2014 at 9:23

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

Accepted

Surjective Maps onto $\aleph$-numbers

answered Jan 9, 2012 at 0:53

4 votes

First-order vs second-order provability

answered Jan 24, 2013 at 8:47

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306 Answers

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

Is Extreme Parameter Free ZFC equivalent to ZFC?

Critical points in $ZF$ without Choice

Well-ordering of power set of $\omega$

Maximal chains and antichains of statements weaker than AC

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

Is it inconsistent for a model of set theory to contain its own first order theory?

How "strong" is the existence of a non trivial ultrafilter on $\omega$?

If all reals are generic, is the set of reals generic?

(Maximal) almost disjoint families of true cardinality ${\frak c}$

Can a stage of the cumulative hierarchy violate the partition principle?

Existence of a branch of limit ordinal length

Infinite decreasing sequence for class relation without minimal elements

Can we choose an element from a class?

Maximality principle in symmetric extensions

Is acyclic ZF consistent?

Strength of some claims about finitely additive measures on infinite sets?

Is definability of a basis for $\mathbb{R^N}$ independent of ZFC?

On wild behavior of $\omega_{1}$ in the absence of some essential axioms of $ZFC$

Joint Forcing Extension Property

Possible Choices for Cofinality of $\aleph_n$ without Choice

Reverse Skolem's paradox

Independence of the countable axiom of choice

Why doesn't choice imply global choice (in NBG)?

is the existence of an inaccessible cardinal stronger than just CON(ZFC)?

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

First-order vs second-order provability