LING 360 Lecture Notes - Lecture 33: Vocable, If And Only If, Preposition And Postposition
Document Summary
The signature of classical predicate logic is an inventory of all the basic non-logical symbols and a categorization of them. An assignment of values to the basic non-logical symbols must respect each symbol"s category. The categories used to categorize each basic vocable of the language provide no clue regarding the value to be assigned to the vocables they categorize. This ultimately comes down to your sense of whether or not these words take complements. It"s not just the number of complements because the number of complements does not include the subject so you have to add 1. Then, u, i is a structure for a lexicon l iff i is a function on the lexical entries satisfying the following conditions: A special requirement has to be imposed for proper nouns, since a proper noun may be assigned a singleton set only. Recall: x is in x iff {x} x.