Added assignmemnt 6

[lambda.git] / intensionality_monad.mdwn

diff --git a/intensionality_monad.mdwn b/intensionality_monad.mdwn
index 6887487..3b69ef9 100644 (file)
--- a/intensionality_monad.mdwn
+++ b/intensionality_monad.mdwn
@@ -1,9 +1,23 @@
-The intensionality monad
-------------------------
+Now we'll look at using monads to do intensional function application.
+This really is just another application of the reader monad, not a new monad.
+In Shan (2001) [Monads for natural
+language semantics](http://arxiv.org/abs/cs/0205026v1), Ken shows that
+making expressions sensitive to the world of evaluation is conceptually
+the same thing as making use of the reader monad.
+This technique was beautifully re-invented
+by Ben-Avi and Winter (2007) in their paper [A modular
+approach to
+>>>>>>> f879a647e289a67b992caaafd497910259a81040
+intensionality](http://parles.upf.es/glif/pub/sub11/individual/bena_wint.pdf),
+though without explicitly using monads.
+
+
+All of the code in the discussion below can be found here: [[intensionality-monad.ml]].
+To run it, download the file, start OCaml, and say 

 
 

-In the meantime, we'll look at several linguistic applications for
-monads, based on what's called the *reader monad*, starting with
-intensional function application.  
+       # #use "intensionality-monad.ml";;
+
+Note the extra `#` attached to the directive `use`.

 
 First, the familiar linguistic problem:
 
 
 First, the familiar linguistic problem:
 


@@ -18,22 +32,6 @@ we have a problem: if the sentences *Bill left* and *Cam left* are
 both true, they denote the same object, and Ann's beliefs can't
 distinguish between them.
 
 both true, they denote the same object, and Ann's beliefs can't
 distinguish between them.
 

-In Shan (2001) [Monads for natural language
-semantics](http://arxiv.org/abs/cs/0205026v1), Ken shows that making
-expressions sensitive to the world of evaluation is conceptually the
-same thing as making use of a *reader monad*.  This technique was
-beautifully re-invented by Ben-Avi and Winter (2007) in their paper [A
-modular approach to
-intensionality](http://parles.upf.es/glif/pub/sub11/individual/bena_wint.pdf),
-though without explicitly using monads.
-
-All of the code in the discussion below can be found here: [[intensionality-monad.ml]].
-To run it, download the file, start OCaml, and say 
-
-       # #use "intensionality-monad.ml";;
-
-Note the extra `#` attached to the directive `use`.
-

 The traditional solution to the problem sketched above is to allow
 sentences to denote a function from worlds to truth values, what
 Montague called an intension.  So if `s` is the type of possible
 The traditional solution to the problem sketched above is to allow
 sentences to denote a function from worlds to truth values, what
 Montague called an intension.  So if `s` is the type of possible