The n-adic first-order undefinability of the Geach formula
نویسندگان
چکیده
By adopting natural generalizations of relational frame and relational model we showed in [2] that the deontic law D, Dp -» Op, is not universally first-order definable. In effect, we showed there that for n > 2, there is no n-adic first-order sentence p such that for every n-ary frame F,F ^D iff F ^(3 in the first-order sense. The notion of n-ary frame and model employed there may be summarized as follows: F (U,R) is an n-ary relational frame iff U is a nonempty set and R is an n-ary relation on U. Valuations on F are classical for PC formulas. For modal formulas,
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ورودعنوان ژورنال:
- Notre Dame Journal of Formal Logic
دوره 22 شماره
صفحات -
تاریخ انتشار 1981