709 reputation
212
bio website alexanderpruss.com
location United States
age
visits member for 2 years, 2 months
seen Dec 9 at 1:25

Professor of Philosophy, Baylor University


Sep
26
awarded  Yearling
Sep
24
awarded  Autobiographer
Jul
21
revised Embedding probability spaces in the completion of $[0,1]^K$
cleanup
Jul
17
revised Embedding probability spaces in the completion of $[0,1]^K$
need completion for lifting
Jul
17
revised Embedding probability spaces in the completion of $[0,1]^K$
added 52 characters in body
Jul
16
revised Embedding probability spaces in the completion of $[0,1]^K$
replace "finite measure" with "probability" for clarity
Jul
16
asked Embedding probability spaces in the completion of $[0,1]^K$
Jul
8
answered Products of Boolean algebras and probability measures thereon
Jul
2
awarded  Curious
May
19
revised Finitely additive measures on $\mathbb Z_2^\omega$ with invariance and independence constraints
added 1156 characters in body
May
19
comment Finitely additive measures on $\mathbb Z_2^\omega$ with invariance and independence constraints
Yes, assuming AC. I will edit the question to explain.
May
13
asked Finitely additive measures on $\mathbb Z_2^\omega$ with invariance and independence constraints
May
2
accepted Is an integral against a probability measure in the convex hull of the range?
May
1
comment Is an integral against a probability measure in the convex hull of the range?
Note: The link in my questions to the affirmative answer in the continuous case will go to a theorem by Jankovic and Merkle that the integral is a convex combination of $n$ points in the range when $f$ is continuous. By Caratheodory's theorem, without assuming continuity we will have a combination of $n+1$ points in the range. So continuity lets one simplify the convex combination from $n+1$ to $n$ points. That helps me to understand the significance of the Jankovic-Merkle theorem.
Apr
30
revised Is an integral against a probability measure in the convex hull of the range?
deleted 26 characters in body
Apr
30
answered Is an integral against a probability measure in the convex hull of the range?
Apr
30
revised Is an integral against a probability measure in the convex hull of the range?
added 132 characters in body
Apr
30
asked Is an integral against a probability measure in the convex hull of the range?
Apr
26
accepted Recovery of probability distribution from a single point
Apr
26
comment Recovery of probability distribution from a single point
Thanks!Yeah, SLLN is all one needs in Q1: just take rectangles with rational corner coordinates. I missed that because the philosophical application (a defense of frequentism against certain objectins) I was thinking of made it inappropriate to single out a particular set of rectangles in the recovery.