To carry out these ideas, we need a … a monadic predicate P(x) is interpreted as a … is its anti- extension. P(x) is to be … One appropriate scheme for handling connectives is Kleene's … and undefined if P is undefined. A disjunction … true, false, or undefined; it is false if … disjunction and negation in the usual way. … [Kleene, SC, Introduction to Metamathematics 1952].
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