User Alexander Pruss

21 votes

Accepted

Probabilities in a riddle involving axiom of choice

answered Dec 11, 2013 at 21:07

10 votes

Unique existence and the axiom of choice

answered Sep 18, 2017 at 19:08

5 votes

Accepted

Extending a partial order while preserving an automorphism

answered Sep 14, 2013 at 14:00

4 votes

examples of random variable X independent to each of A and B, but not to (A,B)

answered Sep 27, 2012 at 12:45

4 votes

Why do we want maps to be measurable (in countably-additive setting)

answered Jul 26, 2013 at 16:09

4 votes

Extending the product measure on $2^\omega$

answered Sep 12, 2017 at 16:57

3 votes

Accepted

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

answered Feb 22, 2021 at 19:13

3 votes

Is it consistent with ZFC that some translation-invariant extension of Lebesgue measure assigns nonzero measure to some set of cardinality $<\frak c$?

answered Apr 12, 2023 at 19:12

3 votes

Central Limit Theorem (and Berry-Esseen theorem) for non-independent variables

answered Feb 26, 2013 at 20:21

3 votes

Accepted

A stronger version of supramenability?

answered Aug 31, 2013 at 17:13

3 votes

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

answered Nov 14, 2013 at 17:53

2 votes

Accepted

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

answered Apr 30, 2014 at 17:53

2 votes

Accepted

Isometrically-invariant measures and dilation of the Cantor set

answered Sep 28, 2013 at 5:16

2 votes

Distinguishing finite families of sets by algebras of bounded size

answered Nov 20 at 8:41

2 votes

Existence of a strictly proper scoring rule on a $\sigma$-algebra that is not countably generated

answered Jun 7, 2022 at 1:27

1 vote

Accepted

Is the support function continuous on its effective domain?

answered Mar 2, 2021 at 15:51

1 vote

Example of a (strictly) proper scoring rule on a general measurable space?

answered Jun 2, 2022 at 16:20

1 vote

Consequences of ZF+"all subsets of reals are Lebesgue measurable"

answered Mar 20, 2015 at 20:15

1 vote

Accepted

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

answered Jan 30, 2018 at 16:40

1 vote

Accepted

Invariant strictly positive hyperreal probability measures on groups

answered Aug 25, 2020 at 17:54

1 vote

Accepted

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

answered Sep 2, 2013 at 1:11

1 vote

Accepted

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

answered Sep 16, 2013 at 2:58

0 votes

Accepted

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

answered Aug 8, 2013 at 22:55

0 votes

Accepted

Two kinds of invariance of full conditional probabilities

answered Nov 4, 2013 at 19:07

0 votes

Products of Boolean algebras and probability measures thereon

answered Jul 8, 2014 at 15:43

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25 Answers

Probabilities in a riddle involving axiom of choice

Unique existence and the axiom of choice

Extending a partial order while preserving an automorphism

examples of random variable X independent to each of A and B, but not to (A,B)

Why do we want maps to be measurable (in countably-additive setting)

Extending the product measure on $2^\omega$

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

Is it consistent with ZFC that some translation-invariant extension of Lebesgue measure assigns nonzero measure to some set of cardinality $<\frak c$?

Central Limit Theorem (and Berry-Esseen theorem) for non-independent variables

A stronger version of supramenability?

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

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

Isometrically-invariant measures and dilation of the Cantor set

Distinguishing finite families of sets by algebras of bounded size

Existence of a strictly proper scoring rule on a $\sigma$-algebra that is not countably generated

Is the support function continuous on its effective domain?

Example of a (strictly) proper scoring rule on a general measurable space?

Consequences of ZF+"all subsets of reals are Lebesgue measurable"

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

Invariant strictly positive hyperreal probability measures on groups

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

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

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

Two kinds of invariance of full conditional probabilities

Products of Boolean algebras and probability measures thereon