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  • 68 votes cast
Aug
28
comment What is the set-theoretic definition of a function?
Hmm, I think I kind of see -- there are a countable number of definable functions on the naturals, but an uncountable number of possibly un-definable ones. However, now I don't see why AoC is required to select from an infinite pair of socks. Could you elaborate on how that follows from this definition of a function? Asaf wrote "It means that you may not be able to write a finite sentence to help you choose from infinitely many pairs without the axiom of choice" -- was the mention of finiteness more to provide a layman's answer, or can it be rigorized?
Aug
28
accepted Equilibrium distributions of Markov Chains
Aug
28
asked What is the set-theoretic definition of a function?
Jun
30
comment Examples of results failing in higher dimensions
Chaos theory suddenly got a lot more interesting to me.
Jun
22
accepted What is the relationship between the Boltzmann distribution and information theory?
Jun
20
comment What kind of “symmetry” is the symmetric group about?
Reminds me a little of this question on MathOverflow: mathoverflow.net/questions/993/…
Jun
20
comment What is the relationship between the Boltzmann distribution and information theory?
Great explanation, that's exactly what I was looking for, thanks!
Jun
19
asked What is the relationship between the Boltzmann distribution and information theory?
May
29
awarded  Nice Question
Mar
3
asked Equilibrium distributions of Markov Chains
Sep
6
comment Sufficient statistics vs. Bayesian sufficient statistics
Cool, thanks for the link. Nice to learn that Bayes sufficiency comes from Kolmogorov.
Sep
6
comment Sufficient statistics vs. Bayesian sufficient statistics
I'm not sure what you mean by your last sentence -- the definition of sufficient statistic I listed comes from Wikipedia (and the point is exactly that $f(x|\theta, t)$ should not depend on $\theta$).
Sep
5
asked Sufficient statistics vs. Bayesian sufficient statistics
Sep
5
awarded  Supporter
Aug
28
awarded  Scholar
Aug
28
accepted Purely combinatorial proof that$ (e^x)' = e^x$
Aug
28
awarded  Student
Aug
28
asked Purely combinatorial proof that$ (e^x)' = e^x$