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Inconsistencies in Current Theories of Real Numbers, Measure, Probability, and Stochastic Processes

by: Guang-Liang Li, Victor OK Li
(25 Oct 2006)


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Current theories of real numbers, measure, probability, and stochastic processes appear to be self-inconsistent. We exemplify the inconsistencies with Poisson processes, Markov chains, continuous random variables, the Lebesgue measure, and the Cantor-Dedekind theory of real numbers.


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