# LING 3505 Lecture Notes - Lecture 2: Presupposition, Logical Consequence, Cooperative Principle

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Class 2 – January 11

Extension of a NAME:

Its actual referent

Example: extension of Leah is Leah

Extension of a PREDICATE:

The set of actual things that the predicate is about/applies to/is true of

(nouns, verbs, adjective)

The intension of a predicate is what it applies to/is true of in all possible

worlds

Examples:

Extension of MOUNTAIN: the set of all mountains in the actual world

Extension of FAINT: the set of all fainters in the actual world

Extension of AWFUL: the set of all awful things in the actual world.

Extension of a sentence = its truth value (True or False)

Example: Georgina left already, True or False (depending on the world)

The intension of a sentence is its truth conditions, the set of all worlds where

the sentence is true

Exercise, pg 20:

1 a) What is the extension of

alarm clock

?

The set of all alarm clock in the actual world

b) What is the extension of

Cairo

?

The reference of Cairo in the actual world

c) What is the intension of

7shknife

?

The set of all 7shknife’s in all possible worlds

d) What is the truth set for

“Jones has a new game console”

?

The set of all possible worlds in which “Jones has a new game

console” is true

2 a) What is the intension of

Ludwig von Beethoven

?

The referent as he appears in any possible world

b) What is the extension of

phoenix

?

The set of all phoenix’s in the actual world (but do phoenix

actually exist in the world?)

c) What is the intension of

phoenix

?

The set of all phoenix’s in all possible worlds