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Mathematical Psychology consists of two terms :the first term is the mathematics where there is no paradoxes and Psychology where there is a lot of paradoxes. This is called the phantasy of mathematical psychology.I insist on making some introduction that clearify the paradoxes of this science .Also,the introduction must be very simple. Please ,let me describe my internal feeling about things and my internal battle in my soul. There are many topics studied in mathematical psychology related to the field of economics and computer science. Mathematical Psychology had begun from Weber until it reached its perfectness in its golden age now by busemyer and JC falmagne. Psychology is deeply related to the neurology and its effect on the decisions under uncertainity. Decision models are studied by brillian mathematics like Danial Kahneman and Itzkhak Gilboah.Simply, Psychology is some branch in which all paradoxes appears .However,you must rely on some non paradoxial methodology in its studying. I think mathematical psychology is the best way without hesitation to describe the deep problems of internal human paradoxes.Let us differ between computer system and humanity system.