User Trevor Wilson - MathOverflow

29 votes

Examples of common false beliefs in mathematics

answered May 5, 2015 at 17:56

26 votes

Accepted

Continuous functions $f$ with $f(A)$ linearly independent when $A$ is independent

answered Nov 19, 2013 at 2:06

21 votes

Accepted

What's the difference between ZFC+Grothendieck, ZFC+inaccessible cardinals and Tarski-Grothendieck set theory?

answered Jul 22, 2012 at 1:10

18 votes

What "forces" us to accept large cardinal axioms?

answered Apr 25, 2014 at 16:50

18 votes

Accepted

Removing large cardinals from an uncountable transitive model

answered Nov 17, 2015 at 1:36

15 votes

2D problems which are easier to solve in 3D

answered Sep 10, 2012 at 15:29

14 votes

Accepted

What is the consistency strength of weak Vopenka's principle?

answered Apr 21, 2019 at 20:06

11 votes

Accepted

Countable structures with uncountable many automorphisms

answered Aug 2, 2012 at 18:43

11 votes

Which large cardinals have a Matryoshka characterization?

answered May 26, 2018 at 19:07

9 votes

Why are stationary limits so ubiquitous when studying large cardinals?

answered Sep 6, 2022 at 4:05

9 votes

Failure of the GCH

answered Nov 4, 2011 at 18:14

9 votes

Accepted

Punctuation and Other Rules for Variables and Their Verbal Definitions in Math Narrative

answered May 9, 2014 at 21:54

8 votes

Accepted

Intuitive descriptions of some large cardinals

answered Jun 25, 2016 at 22:28

7 votes

Accepted

Assuming AD, is every infinite cardinal closed under power set in a choice model?

answered May 4, 2015 at 3:37

7 votes

When does the choice of the generic matter?

answered May 31, 2014 at 2:53

7 votes

Slim Kurepa tree at a singular strong limit cardinal of uncountable cofinality

answered Aug 23, 2014 at 18:10

7 votes

Accepted

Weakly homogeneous trees under AD

answered Aug 13, 2012 at 18:41

7 votes

Accepted

How strong is "all up-classes are infinitarily definable"?

answered Nov 26, 2020 at 19:30

6 votes

Accepted

Consequences of existence of a certain function from $\omega_1$ to $\omega_1$

answered Feb 10, 2020 at 2:10

6 votes

Accepted

$\Theta$ and the Hartogs of $2^\mathbb R$

answered Jul 25, 2012 at 19:51

6 votes

What consistency results follow the assumption: $\forall\alpha(\aleph_{\alpha+1}\nleq2^{\aleph_\alpha})$?

answered May 8, 2015 at 23:27

5 votes

Accepted

Suslin representation of sets and limits to Shoenfield's Absoluteness

answered Jan 30, 2020 at 20:52

5 votes

Accepted

Universally Baire Tree Representation of Projective Sets

answered Apr 30, 2015 at 21:38

5 votes

Accepted

Are there trees for $(\Sigma^2_1)^{\text{uB}}$?

answered Jun 4, 2014 at 14:46

5 votes

Accepted

In search of a set theory with specific properties

answered Sep 4, 2012 at 16:57

5 votes

Why can't an explicit well-ordering of the reals be ruled out in ZF?

answered Sep 6, 2012 at 16:41

5 votes

Relation between $\neg \square(\kappa)$ and the tree property at $\kappa$.

answered Mar 19, 2013 at 19:17

5 votes

Projectively definable family of sets of reals

answered Nov 6, 2013 at 23:37

5 votes

Examples of conjectures that were widely believed to be true but later proved false

answered Jul 23, 2012 at 17:59

5 votes

Accepted

To find an element of a $\Pi^1_1$ set

answered Jul 21, 2012 at 14:14

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39 Answers

Examples of common false beliefs in mathematics

Continuous functions $f$ with $f(A)$ linearly independent when $A$ is independent

What's the difference between ZFC+Grothendieck, ZFC+inaccessible cardinals and Tarski-Grothendieck set theory?

What "forces" us to accept large cardinal axioms?

Removing large cardinals from an uncountable transitive model

2D problems which are easier to solve in 3D

What is the consistency strength of weak Vopenka's principle?

Countable structures with uncountable many automorphisms

Which large cardinals have a Matryoshka characterization?

Why are stationary limits so ubiquitous when studying large cardinals?

Failure of the GCH

Punctuation and Other Rules for Variables and Their Verbal Definitions in Math Narrative

Intuitive descriptions of some large cardinals

Assuming AD, is every infinite cardinal closed under power set in a choice model?

When does the choice of the generic matter?

Slim Kurepa tree at a singular strong limit cardinal of uncountable cofinality

Weakly homogeneous trees under AD

How strong is "all up-classes are infinitarily definable"?

Consequences of existence of a certain function from $\omega_1$ to $\omega_1$

$\Theta$ and the Hartogs of $2^\mathbb R$

What consistency results follow the assumption: $\forall\alpha(\aleph_{\alpha+1}\nleq2^{\aleph_\alpha})$?

Suslin representation of sets and limits to Shoenfield's Absoluteness

Universally Baire Tree Representation of Projective Sets

Are there trees for $(\Sigma^2_1)^{\text{uB}}$?

In search of a set theory with specific properties

Why can't an explicit well-ordering of the reals be ruled out in ZF?

Relation between $\neg \square(\kappa)$ and the tree property at $\kappa$.

Projectively definable family of sets of reals

Examples of conjectures that were widely believed to be true but later proved false

To find an element of a $\Pi^1_1$ set