Alexander Pruss's user avatar
Alexander Pruss's user avatar
Alexander Pruss's user avatar
Alexander Pruss
  • Member for 10 years, 4 months
  • Last seen more than a month ago
20 votes
0 answers
392 views

Hahn-Banach and the "Axiom of Probabilistic Choice"

19 votes
2 answers
983 views

How many subsets of $[0,1)$ are there modulo null sets?

14 votes
1 answer
332 views

Comparing sizes of sets of integers

10 votes
0 answers
734 views

Full conditional probabilities and versions of AC?

10 votes
0 answers
252 views

Strength of claims about extensions of partial preorders and orders to linear ones

9 votes
2 answers
447 views

Hyperreal finitely-additive measure on [0,1) assigning $b-a$ to $[a,b)$ or $(a,b]$ and infinitesimals to singletons

9 votes
1 answer
698 views

Finitely additive measures on $\mathbb Z_2^\omega$ with invariance and independence constraints

8 votes
2 answers
335 views

Extending the product measure on $2^\omega$

8 votes
1 answer
1k views

A set of positive measure with cardinality less than that of the continuum?

8 votes
2 answers
351 views

Isometrically-invariant measures and dilation of the Cantor set

6 votes
1 answer
697 views

Is it consistent with ZFC that there is a translation-invariant extension of Lebesgue measure that assigns nonzero measure to some set of measure less than c?

6 votes
1 answer
681 views

Are there uniformly discrete paradoxical subsets in $\mathbb{R}^3$?

6 votes
0 answers
69 views

A sufficient condition for being the boundary of one's convex hull?

6 votes
1 answer
203 views

If a compact convex set meets the positive orthant does it meet it at a point with a normal in the positive orthant?

6 votes
4 answers
576 views

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

6 votes
2 answers
186 views

For most directions does the supporting hyperplane meeting a bounded convex set meet it in one point?

5 votes
1 answer
278 views

Rotation-invariant strict-inclusion-preserving preorderings on subsets of the circle

4 votes
4 answers
1k views

Products of Boolean algebras and probability measures thereon

4 votes
1 answer
183 views

Totally right preorderable groups

4 votes
0 answers
127 views

Self homomorphisms of hyperreals fixing the reals

3 votes
0 answers
162 views

Random sets and invariant extensions of Lebesgue measure

3 votes
1 answer
926 views

Is an integral against a probability measure in the convex hull of the range?

3 votes
0 answers
204 views

Embedding probability spaces in the completion of $[0,1]^K$

3 votes
1 answer
272 views

Conditional probabilities for all pairs of subsets in $\mathbb R^2$?

3 votes
2 answers
269 views

Hyperfinite set containing the reals, with specified upper bound on internal cardinality?

3 votes
1 answer
236 views

Extending Tarski's Theorem on invariant measures

3 votes
1 answer
284 views

A stronger version of supramenability?

3 votes
1 answer
253 views

Does supramenability imply that $a+c=b+2c \Rightarrow a=b+c$ on the type semigroup?

3 votes
1 answer
208 views

Extensions of partial orders to linear orders on (nonabelian) groups

2 votes
1 answer
203 views

Recovery of probability distribution from a single point