Exercise-ch6: Difference between revisions

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Reading 1: For { at least two _13 } ''x'' such that { x _2 } is a { language _9 }, for every ''y'' such that { y _2} { is _3 } a { linguist _8 }, { y _2 } knows { x _2 }.
Reading 1: For { at _3 } least { two _4 } ''x'' such that { x _2 } is a { language _9 }, for every ''y'' such that { y _2} { is _3 } a { linguist _8 }, { y _2 } knows { x _2 }.


Reading 2: { For _4 } { every _6 } ''y'' { such _5 } that { y _2} { is _3 } { a _2 }{ linguist _8 }, { for _4 } at least { two _4 } ''x'' { such _5 } { that _5 } { x _2 } is { a _2 } { language _9 }, { y _2 } { knows _6 } { x _2 }.  
Reading 2: { For _4 } { every _6 } ''y'' { such _5 } that { y _2} { is _3 } { a _2 }{ linguist _8 }, { for _4 } at least { two _4 } ''x'' { such _5 } { that _5 } { x _2 } is { a _2 } { language _9 }, { y _2 } { knows _6 } { x _2 }.  


{Sentence: ''Few actors star in many movies.''
|type="{}"}
Reading 1: { For _4 } { few _4 } ''x'' { such _5 } { that _5 } { x _2 } is an actor, { for _4 } { many _4 } { y _2 } { such _5 } { that _5 } ''y'' is a { movie _6 }, { x _2 } { stars _6 } in { y _2 }.
Reading 2: { For _4 } { many _4 } ''y'' { such _5 } { that _5 } { y _2} { is _3 } { a _2 } { movie _6 }, { for _4 } { few _4 } { x _2 } { such _5 } { that _5 } { x _2 } is { an _3 } { actor _6 },  ''x'' { stars _6 } in { y _2 }.


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Revision as of 22:14, 18 November 2013

Exercises for chapter 6: Quantifiers

Quantifier denotation

Complete the paraphrase for the following sentences with quantifiers.

1 Sentence: Pat read many books.

For

x such that

is a

, Pat

x.

2 Sentence: Most students work hard.

For

such

x is a

,

works

.

3 Sentence: Pat knows some good movies.

For

x

,

.


Complete the paraphrases for the following ambiguous sentences with quantifiers.

1 Sentence: Every linguist knows at least two languages.

Reading 1: For

least

x such that

is a

, for every y such that

a

,

knows

.
Reading 2:

y

that

,

at least

x

is

,

.

2 Sentence: Few actors star in many movies.

Reading 1:

{ few _4 } x

{ that _5 }

is an actor,

y is a

,

in

.
Reading 2:

y

,

is

, x

in

.


Logical forms for sentences with quantifiers

LRS combinatorics for quantifiers