X-Git-Url: http://lambda.jimpryor.net/git/gitweb.cgi?p=lambda.git;a=blobdiff_plain;f=intensionality_monad.mdwn;h=39dd8028e50b199c6d713e6430b3c7097633e688;hp=6887487fa69298fad8b85ba96ed741e69fcfec8a;hb=c50557f9e28953396ce6b09d169096d848a1985e;hpb=11a31a071405f0eb9bc48ea98e5e9ee592fac245

diff --git a/intensionality_monad.mdwn b/intensionality_monad.mdwn
index 6887487f..39dd8028 100644
--- a/intensionality_monad.mdwn
+++ b/intensionality_monad.mdwn
@@ -1,9 +1,21 @@
-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
+intensionality](http://parles.upf.es/glif/pub/sub11/individual/bena_wint.pdf),
+though without explicitly using monads.
 
-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.  
+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`.
 
 First, the familiar linguistic problem:
 
@@ -18,22 +30,6 @@ 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.
 
-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