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This paper will handle with self-referential paradoxes, especially paradoxes called ‘broad self-referential paradoxes’ here. There are some paradoxes that seem to have self-reference in some senses, but have not been taken as self-referential ones in terms of existed criterion of ‘self-reference’. In order to save such our intuition, I will introduce new criterion of ‘self-reference’ and categorize self-referential paradoxes into two groups; I will call paradoxes that fit existed criterion of self-reference ‘narrow self-referential paradoxes’, and paradoxes that seem to be self-referential but does not fit the criterion ‘broad self-referential paradoxes’. The goal of my study is to find the best solution applicable to all self-referential paradox (not only narrow ones but both of narrow and broad ones). To find such general solution requires to find the general structure of all self-referential para- doxes which is essential for the paradoxes occurring; we can find candidates of solutions by analyzing the structure, and we can consider and decide the best solution among these candidates by comparing them. And to find the general structure of all self-referential paradoxes requires to find in advance both of ‘the general structure of narrow self-referential paradoxes’ and ‘the general structure of broad self-referential paradoxes’. Some existed studies try to find general structures (and general solutions) of narrow self-referential paradoxes; there is, how- ever, no study about general structures (and general solutions) of broad ones. So this paper aims at finding it. Moreover, in this paper I will analyze the structure and show candidates of general solutions to broad self-referential paradoxes. This paper consists of three sections. First, before getting into the main topic, I will show some self-referential paradoxes in the first section, including broad one. Then, in the next section, I will introduce existed works try to find general structures of self-referential para-doxes. In the last section, firstly I will show that the works introduced in the second section can’t cover broad self-referential paradoxes. Then I will show the general structure of them, and by analyzing it I will show the candidates of its solutions. |
