Ugly Subsets: Weirdness Within the Axioms of Probability Theory
I'm watching this video now, and at $36:53$ John Tsitsiklis mentions that
for some sets there is no way to assign probabilities to events which
occur in them. I'm wondering what sets he is talking about. Tsitsiklis
says that one will only encounter them doing doctoral work, but I imagine
that the "theoretical aspects of probability theory" are more tangible
than Tsitsiklis makes them out to be.
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