It is a Fundamental Limitation to Base Probability Theory on Bivalent Logic
Probability theory has long played—and is continuing to play—the role of the principal tool for dealing with problems in which uncertainty is a significant factor. The history of probability theory is a history of important advances in our understanding of decision-making in uncertain environments. But what we see alongside the brilliant successes are problem areas in which progress has been elusive. An example is the class of problems in which probabilities, utilities and relations are ill-defined in ways that put such problems well beyond the reach of existing methods.
KeywordsFundamental Limitation Uncertain Environment Possibility Distribution Maximum Entropy Principle Imprecise Probability
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