minor things
diff --git a/Doc/libintro.tex b/Doc/libintro.tex
index 4435c1a..70d7478 100644
--- a/Doc/libintro.tex
+++ b/Doc/libintro.tex
@@ -3,10 +3,10 @@
 The ``Python library'' contains several different kinds of components.
 
 It contains data types that would normally be considered part of the
-``core'' of the language, such as numbers and lists.  For these types,
-the core language defines the form of literals and places some
-constraints on their semantics, but it does not fully describe the
-semantics.  (On the other hand, the core of the language defines
+``core'' of a language, such as numbers and lists.  For these types,
+the Python language core defines the form of literals and places some
+constraints on their semantics, but does not fully define the
+semantics.  (On the other hand, the language core does define
 syntactic properties like the spelling and priorities of operators.)
 
 The library also contains built-in functions and exceptions ---
@@ -39,7 +39,7 @@
 overview of the available modules and application areas that are
 supported by the Python library.  Of course, you don't \emph{have} to
 read it like a novel --- you can also browse the table of contents (in
-front of the manual) or look for a specific function, module or term
+front of the manual), or look for a specific function, module or term
 in the index (in the back).  And finally, if you enjoy learning about
 random subjects, you choose a random page number (see module
 \code{rand}) and read a section or two.