Misc,

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

, and .
(October 2006)

Abstract

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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