PHIL 279 Lecture 4: L2.pdf

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Note: there can be n place predicate in a sentence of l2. To specify an interpretation, i, of a set of sentences s: Specify a non-empty set, d, as the domain of i. Specify extension of each name in s, which will be a member of d (extension of name must be member of domain) Specify the extension of each sentence letter, which will be one of the two truth values. Specify extension of each one-place predicate in s, which will be a subset of d. Specify the extension of each two-place predicate in s, which will be a subset of the set of ordered pairs of members of d. A sentence letter is true in an interpretation i i its extension in i is t. An atomic sentence f is true in i i < i P : is a philosopher a : alma.

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