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You've touched upon an old conflict. http://lesswrong.com/lw/oj/probability_is_in_the_mind/

There's no need to refer people to lesswrong for this. The interpretation of probability as a subjective degree of knowledge/evidence is well-known. For example: http://plato.stanford.edu/entries/probability-interpret/ or http://plato.stanford.edu/entries/epistemology-bayesian/

No need to spam links to that cult site.

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