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

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17 Jan 2016
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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
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