Abstract: Based on some concrete paradoxes in computer science,this paper used the diagonal arguments to explain the generation mechanism of a class of paradoxes,and pointed out that a deep reason of resulting in some paradoxes is the self-reference.Moreover,from two new perspectives in quantum mechanics and category theory,this paper gave some interpretations including paradoxes rather than traditional method to avoid a paradox by prohibiting the self-reference.It shows that our models not only can provide a reasonable explanation for some paradoxes,but also can provide some new ideas to understand the essence of the paradoxes.

Key words: Category theory, Diagonal arguments, Paradox, Quantum mechanics, Self-reference