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diff --git a/Doc/libintro.tex b/Doc/libintro.tex
index 4435c1a..70d7478 100644
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+++ 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 @@ skip to the next chapter when you get bored, you will get a reasonable
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.