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2 ideas
| 18779 | 'The' is a quantifier, like 'every' and 'a', and does not result in denotation [Montague] |
| Full Idea: The expression 'The' turns out to play the role of a quantifier, in complete analogy with 'every' and 'a', and does not generate (in common with common noun phrases) denoting expressions | |
| From: Richard Montague (English as a Formal Language [1970], p.216), quoted by Bernard Linsky - Quantification and Descriptions 4 | |
| A reaction: Linsky says that it is now standard to interpret definite descriptions as quantifiers |
| 10175 | Three types of variable in second-order logic, for objects, functions, and predicates/sets [Reck/Price] |
| Full Idea: In second-order logic there are three kinds of variables, for objects, for functions, and for predicates or sets. | |
| From: E Reck / M Price (Structures and Structuralism in Phil of Maths [2000], §5) | |
| A reaction: It is interesting that a predicate seems to be the same as a set, which begs rather a lot of questions. For those who dislike second-order logic, there seems nothing instrinsically wicked in having variables ranging over innumerable multi-order types. |