Quantifier

목차

1. Quantifiers
2. Meaning of Quantifiers
3. Quantifier Floating
4. Quantifier-Pronoun Flip
5. Reducing Quantifier + Of + Pronoun Constructions
6. Partitives
7. Other Ways of Expressing Quantity
8. Quantification
9. Quantifiers and Scope ambiguity

본문내용

1. Quantifiers

singular count nouns
any, each, every

plural count nouns
any, both, (a) few, many, several, all, most, more, some

noncount nouns
(a) little, less, much, all, most, more, some

- The most common quantifiers according to the kind of nouns they occur with.
- some quantifiers occur with only one type of noun, BUT

[1] a. All students must take the placement exam. with plural count nouns
b. Vanessa loves getting all the attention. with noncount nouns

<중 략>

Existential quantifier
(usually symbolized as ∃)
words such as some, or a.
identifies at least one member of a set

- Classical predicate logic recognizes just two quantifiers.

- IN LOGIC, quantifiers are said to hold scope over constituents containing variables.

[22] Closer examination 1
The logical representation of an expression like Everyone dances is
∀x [ x dances ] : For every (∀) person you choose, then that person (x) dances
So, the quantifier ∀ has scope over the variable x

( “x” is called a variable ∵ not have a fixed reference, and the quantifier bind x)

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