Abstract
The concept of truth degrees of formulas in Łukasiewicz n -valued propositional logic L n is proposed. A limit theorem is obtained, it says that the truth function τn induced by truth degrees converges to the integrated truth function τ when n converges to infinite, hence this limit theorem builds a bridge between discrete valued Lukasiewicz logic and continuous valued Lukasiewicz logic. Moreover, the results obtained in the present paper is a natural generalization of the corresponding results obtained in two-valued propositional logic.The concept of truth degrees of formulas in Łukasiewicz n -valued propositional logic Ln is proposed. A limit theorem is obtained, which says that the truth function τ n induced by truth degrees converges to the integrated truth function τ n converges to infinite. Hence this limit theorem builds a bridge between the discrete valued Łukasiewicz logic and the continuous valued Łukasiewicz logic. Moreover, the results obtained in the present paper is a natural generalization of the corresponding results obtained in two-valued propositional logic.
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