Regularity and Hyperreal Credences
Many philosophers have become worried about the use of standard real numbers for the probability function that represents an agent's credences. They point out that real numbers can't capture the distinction between certain extremely unlikely events and genuinely impossible ones?they are both represented by credence 0, which violates a principle known as "regularity." Following Skyrms 1980 and Lewis 1980, they recommend that we should instead use a much richer set of numbers, called the...[Show more]
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