User Asaf Karagila

4 votes

Existence of weakly compact cardinals

answered Oct 9, 2012 at 8:03

4 votes

On surjections, idempotence and axiom of choice

answered Aug 26, 2012 at 17:40

4 votes

Result that follows from ZFC and not ZF but are strictly weaker than choice

answered Nov 25, 2012 at 11:29

4 votes

Are all models of ZF + DC + "All set of reals are lebesgue measurable" also models of CH?

answered Feb 21, 2013 at 19:48

4 votes

Accepted

Does ZFC without Foundation prove that given any proper class A, every set can be injected into A ?

answered Feb 23, 2013 at 14:38

4 votes

Accepted

A question about "paradoxical" sentences in the language of ZF set theory.

answered May 5, 2013 at 18:18

4 votes

Accepted

Cardinals without choice: interpolation (reference wanted)

answered May 15, 2013 at 23:09

4 votes

Accepted

Well-Ordering theorem of cardinal$\kappa$

answered May 19, 2013 at 9:29

4 votes

Does $\mathsf{ZF}$ prove $\operatorname{Col}(\lambda,\kappa)$ preserves cardinals below $\lambda$?

answered Dec 4, 2023 at 8:47

4 votes

Name for a certain type of cardinal

answered Mar 14 at 14:40

3 votes

Accepted

Turning linear ordering into well-ordering

answered May 27 at 22:20

3 votes

Accepted

Subquotients in ZF

answered May 23, 2013 at 3:41

3 votes

Ultrafilters vs Well-orderings

answered Mar 18, 2013 at 23:12

3 votes

Set theory question

answered Feb 21, 2013 at 2:54

3 votes

Usage of set theory in undergraduate studies

answered Jan 7, 2013 at 11:00

3 votes

On a weak choice principle

answered Jun 18, 2012 at 22:57

3 votes

Can $\omega_1$ be supercompact?

answered Aug 3, 2012 at 20:35

3 votes

Describe a topic in one sentence.

answered May 20, 2011 at 9:50

3 votes

Dual of Zorn's Lemma?

answered Sep 15, 2010 at 1:36

3 votes

What axioms (other than choice) have a taming effect on the ordering of cardinalities?

answered Jun 20, 2014 at 21:08

3 votes

Accepted

Is any axiom system for sets categorical?

answered Aug 20, 2014 at 9:34

3 votes

When do we have a bijection between a proper class A and its power set class P(A)?

answered Dec 6, 2014 at 9:00

3 votes

A limit to Shoenfield Absoluteness

answered Nov 26, 2013 at 20:45

3 votes

Question about HOD

answered Feb 11, 2014 at 19:30

3 votes

Group morphism and axiom of choice

answered Jan 3, 2014 at 15:08

3 votes

Accepted

Can the axiom of choice or its weaker versions be (dis)proved using reflection principles?

answered Jan 12, 2020 at 12:15

3 votes

Accepted

On successive regular cardinals with no ladders

answered Feb 21, 2020 at 20:27

3 votes

Accepted

Are closed convex subsets of a Banach space weakly closed without the axiom of choice?

answered Nov 3, 2019 at 8:08

3 votes

Accepted

Is existence of a cardinal that witness non-failure of GCH everywhere everyway, a theorem of ZF?

answered Jan 15, 2022 at 12:15

3 votes

What would be examples of modified Scotts cardinals with less structure?

answered Jan 18, 2022 at 0:33

Stack Exchange Network

306 Answers

Existence of weakly compact cardinals

On surjections, idempotence and axiom of choice

Result that follows from ZFC and not ZF but are strictly weaker than choice

Are all models of ZF + DC + "All set of reals are lebesgue measurable" also models of CH?

Does ZFC without Foundation prove that given any proper class A, every set can be injected into A ?

A question about "paradoxical" sentences in the language of ZF set theory.

Cardinals without choice: interpolation (reference wanted)

Well-Ordering theorem of cardinal$\kappa$

Does $\mathsf{ZF}$ prove $\operatorname{Col}(\lambda,\kappa)$ preserves cardinals below $\lambda$?

Name for a certain type of cardinal

Turning linear ordering into well-ordering

Subquotients in ZF

Ultrafilters vs Well-orderings

Set theory question

Usage of set theory in undergraduate studies

On a weak choice principle

Can $\omega_1$ be supercompact?

Describe a topic in one sentence.

Dual of Zorn's Lemma?

What axioms (other than choice) have a taming effect on the ordering of cardinalities?

Is any axiom system for sets categorical?

When do we have a bijection between a proper class A and its power set class P(A)?

A limit to Shoenfield Absoluteness

Question about HOD

Group morphism and axiom of choice

Can the axiom of choice or its weaker versions be (dis)proved using reflection principles?

On successive regular cardinals with no ladders

Are closed convex subsets of a Banach space weakly closed without the axiom of choice?

Is existence of a cardinal that witness non-failure of GCH everywhere everyway, a theorem of ZF?

What would be examples of modified Scotts cardinals with less structure?