> Probability is expectation founded upon partial knowledge. A perfect acquaintance with all the circumstances affecting the occurrence of an event would change expectation into certainty, and leave neither room nor demand for a theory of probabilities.
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An Investigation of the Laws of Thought by George Boole

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@bsmall2 That sound more like philosophy than maths :-)
@ghostdancer
Yes... That's been a surprising thing about trying to learn statistics: that there are philosophical disputes among "frequentists", "objective Bayesians", and "subjective Bayesians"... Lancelot Hogben's _Statistical Theory_ has some funny lines about the "social context" and outlook of some of the big names (Galton, Karl Pearson, Fisher, Quetelet..) in the field. As I look into some of his references I'm finding more philosophy...
@bsmall2 Thinking about it looks logical, as always we have prejudices or bias when we analyze something and how we value probabilities and the weight we assign to events.
@ghostdancer I'm still trying to wrap my head around it but even with coins and dice people have different ways of looking at it: even those that think and work with the ideas all the time. The probability of something is its frequency of occurrences over an infinite sequence of events, or a measure of your belief that something will at that frequency: something like that.. Probablity as an abstract pure math game like geometry seems decent: Statistics seems corrupted by eugenics or something..
@bsmall2 Statistics have the human factor that's what I think the "social context" could mean, not as "pure" or as clean as probability. They depend on the eye of the beholder. You know the saying, there are lies, damned lies and statistics.
@ghostdancer Lancelot Hogben is interesting for providing the "social context".. I forget where I heard of his _Mathematics for the Millions_ but I've had it for ages and dip into it every once in a while. It was nice to see that 20 years or so after that he wrote books on Chance and Choice (Probability shoulde be "choosability"?) and _Statistical Theory_ He can be hard going though: long ironic sentences, lots of names.. much more demanding of the attention span than newer books I guess...
@bsmall2 Find something you are comfortable with and even most important that you are going to enjoy.