First, the familiar linguistic problem:
- Bill left.
+ Bill left.
Cam left.
Ann believes [Bill left].
Ann believes [Cam left].
The main difference between the intensional types and the extensional
types is that in the intensional types, the arguments are functions
from worlds to extensions: intransitive verb phrases like "left" now
-take intensional concepts as arguments (type s->e) rather than plain
+take individual concepts as arguments (type s->e) rather than plain
individuals (type e), and attitude verbs like "think" now take
propositions (type s->t) rather than truth values (type t).
In addition, the result of each predicate is an intension.
This expresses the fact that the set of people who left in one world
may be different than the set of people who left in a different world.
-Normally, the dependence of the extension of a predicate to the world
+(Normally, the dependence of the extension of a predicate to the world
of evaluation is hidden inside of an evaluation coordinate, or built
into the the lexical meaning function, but we've made it explicit here
-in the way that the intensionality monad makes most natural.
+in the way that the intensionality monad makes most natural.)
The intenstional types are more complicated than the intensional
types. Wouldn't it be nice to make the complicated types available