Andrés E. Caicedo's user avatar
Andrés E. Caicedo's user avatar
Andrés E. Caicedo's user avatar
Andrés E. Caicedo
  • Member for 13 years, 10 months
  • Last seen this week
91 votes

Proofs that require fundamentally new ways of thinking

74 votes
Accepted

Non-Borel sets without axiom of choice

68 votes
Accepted

Behaviour of power series on their circle of convergence

54 votes
Accepted

Completion of ZFC

53 votes
Accepted

Are there any non-linear solutions of Cauchy's equation $f(x+y)=f(x)+f(y)$ without assuming the Axiom of Choice?

51 votes

Arguments against large cardinals

46 votes

Solutions to the Continuum Hypothesis

46 votes
Accepted

Does Arzelà-Ascoli require choice?

41 votes
Accepted

A set that can be covered by arbitrarily small intervals

33 votes

Is all ordinary mathematics contained in high school mathematics?

32 votes

Is the Riemann Hypothesis equivalent to a $\Pi_1$ sentence?

32 votes

Proofs of the uncountability of the reals

32 votes
Accepted

Which types of Diophantine equations are solvable?

30 votes

Counterintuitive consequences of the Axiom of Determinacy?

30 votes
Accepted

Latest stand of core model theory?

29 votes

What notions are used but not clearly defined in modern mathematics?

28 votes
Accepted

Continuum Hypothesis

28 votes
Accepted

A recommended roadmap into inner models

27 votes

Everywhere differentiable function that is nowhere monotonic

26 votes
Accepted

Is the statement that every field has an algebraic closure known to be equivalent to the ultrafilter lemma?

25 votes

Inconsistent theory with long contradiction

25 votes
Accepted

How strong is the iterated consistency of ZFC?

24 votes

What definitions were crucial to further understanding?

24 votes

Examples of common false beliefs in mathematics

23 votes
Accepted

Projection of Borel set from $R^2$ to $R^1$

23 votes

Does constructing non-measurable sets require the axiom of choice?

23 votes

Awfully sophisticated proof for simple facts

23 votes
Accepted

The Erdős-Turán conjecture or the Erdős' conjecture?

22 votes
Accepted

Is every p-point ultrafilter Ramsey?

22 votes
Accepted

A limit to Shoenfield Absoluteness

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