Type-Free Probability:The Interaction of Probability and Truth
Type-free probability is not restricted by any hierarchies or types.It can talk about the probability of its own probability of a sentence.Ac-cording to these theories,a rational agent is not a pure observer.The theories of type-free probability intend to combine the principles of probability and truth.They originated from the investigations on the so-called"Probabilistic Convention T",and now various approaches to type-free probability are developing.The core of the theories of type-free probability is to express the implicit truth in the principles of probability.And we can understand these principles from a new perspective by analyzing the interaction between probability and truth.
type-treeprobabilitytruthdegree of beliefnon-pure observer
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