X-Git-Url: http://lambda.jimpryor.net/git/gitweb.cgi?p=lambda.git;a=blobdiff_plain;f=week1.mdwn;h=801ae6984609be27b76abc8ca7f378fc93020dc6;hp=e8154e3cdcf1fbe6c21828c266662113bc7f9971;hb=787216b36925c3757985a48ced39d6eee1ee5392;hpb=1f97960ab1bdd7a1328fe64714e8b36b38bd7a1e

diff --git a/week1.mdwn b/week1.mdwn
index e8154e3c..801ae698 100644
--- a/week1.mdwn
+++ b/week1.mdwn
@@ -57,8 +57,9 @@ We'll tend to write <code>(&lambda;a M)</code> as just `(\a M)`, so we don't hav
 <strong>Application</strong>: <code>(M N)</code>
 </blockquote>
 
-Some authors reserve the term "term" for just variables and abstracts. We won't participate in that convention; we'll probably just say "term" and "expression" indiscriminately for expressions of any of these three forms.
+Some authors reserve the term "term" for just variables and abstracts. We'll probably just say "term" and "expression" indiscriminately for expressions of any of these three forms.
 
+<div>
 Examples of expressions:
 
 	x
@@ -69,10 +70,13 @@ Examples of expressions:
 	(\x (\y x))
 	(x (\x x))
 	((\x (x x)) (\x (x x)))
+</div>
 
-The lambda calculus has an associated proof theory. For now, we can regard the proof theory as having just one rule, called the rule of **beta-reduction** or "beta-contraction". Suppose you have some expression of the form:
+The lambda calculus has an associated proof theory. For now, we can regard the
+proof theory as having just one rule, called the rule of **beta-reduction** or
+"beta-contraction". Suppose you have some expression of the form:
 
-	((\a M) N)
+	((\ a M) N)
 
 that is, an application of an abstract to some other expression. This compound form is called a **redex**, meaning it's a "beta-reducible expression." `(\a M)` is called the **head** of the redex; `N` is called the **argument**, and `M` is called the **body**.