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Abstract
A new kind of continuous infinite valued logic will be introduced. The elements of this logic are truth function t that assigns truth value belongs to [0, 1] to any statement, value from a scale of deterministic variable or any function of deterministic variable to represent different degrees of truth, probability function p to assign value from the range [0, 1] to any event or random variable to represent degree of likelihood, both truth and probability functions satisfies the classical axioms of probability theory