Many Kinds of Probabilities

• Frequentists: probability is

But there are distributions without mean; also, what is the probability of a “single event” ?

• Subjectivists: probability is “built in” us; measures our beliefs.

Is it scientific? Everybody has different probabilities!

• Axiomatic: probability obeys certain axioms; Then we can derive laws (such as the law of large numbers). Initial probabilities are assigned using symmetry (principle of insufficient reason)

But what about ?

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