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Wikipage of Group 5 - Quantifiers

Overview

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Short description of the topic

Quantifiers are words that precede and modify nouns; they indicate quantity.

There are different types of quantifiers which can be divided in quantifiers for count nouns and non-count nouns.


Comment

Count-nouns are regarded as individual, countable items: e.g. tree


Non-count nouns are not countable, things that we regard as 'undifferentiated mass': e.g. dancing, the water we spilled on the floor, one big mess


Nouns that can be either count or non-count nouns: e.g. paper, stone, and cake For instance, I can enter a bakery and say 'I want a cake' (an individual bakery product), or, before we enter, I can tell a friend that 'I want cake' and not refer to a specific cake but simply mean that the idea of eating cake appeals to me — any cake or piece of cake with chocolate frosting...


Examples

Quantifier expressions

  • some
  • both
  • all
  • everything
  • nothing
  • at least five
  • most
  • all but one
  • less than half of the
  • three books
  • more...than
  • John and Mary
  • only John


Quantifiers that work with count nouns:

many / a few / several / a couple of / none of the trees


Quantifiers that work with non-count nouns:

not much / a little / a bit of / no dancing


Quantifiers that work with both count and non-count nouns:

all of the / some/ most of the / enough / a lot of trees / lots of / plenty of / a lack of trees/dancing


Excercises

Restricted Quantifiers

Find the right formula for the sentence below.

Some students who heard both concerts were interviewed by Holmes.

(a) [Some x: STUDENT (x)] HEAR (x, c) & INTERVIEW (h, x)
(b) [Some x: STUDENT (x) & HEAR (x, c)] INTERVIEW (h, x)
(c) Some x: STUDENT (x)& HEAR (x, c) & INTERVIEW (h, x)
(d) [Some x: STUDENT (x) & INTERVIEW (h, x)] HEAR (x,c)


Different types of Quantifiers

  1. Which type of Quantifiers has the sentence below?
  2. Write down the corresponding logical formula.

Ramon signs every sculpture he makes.

(a) existential
(b) universal
(c) restricted

Check your solution for 2.


Scopal Ambiguity

  1. How has the following sentence scopal ambiguity?
  2. Write down its two possible logical forms.

Everyone loves someone.

  1. Reading: File:Everyone loves someone 1
  1. Reading: File:Everyone loves someone 1

Check your solution for 1.

Check your solution for 2.

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