Conditional and Joint Existence Information and Inferences
We have already mentioned Nilsson’s example [66, p. 162] of the intelligent dolphins in this book in sect. 1.1, example 1.1.5, and in sect. 17.3.2. The complete treatment of the dolphin example in the chain set logic is given in sect. 17.3.2 here. It illustrates a typical conditional EXIST problem. Furthermore it illustrates an EXIST inference in the chain set logic which differs somewhat from the inference of predicate calculus. The difference is due to a symmetry of representation in predicate calculus between ‘dolphins’ and ‘intelligent object’ for the sentence ‘There exist some intelligent dolphins’. In contrast, in the chain set logic the representation is asymmetric.
KeywordsConditional Probability Joint Probability Relative Clause Venn Diagram Marginal Probability
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