Minor improvements to logging documentation.
diff --git a/Doc/library/logging.rst b/Doc/library/logging.rst
index e59c90c..6941ce7 100644
--- a/Doc/library/logging.rst
+++ b/Doc/library/logging.rst
@@ -246,7 +246,7 @@
   methods listed above, but this is how to log at custom log levels.
 
 :func:`getLogger` returns a reference to a logger instance with the specified
-if it is provided, or ``root`` if not.  The names are period-separated
+name if it is provided, or ``root`` if not.  The names are period-separated
 hierarchical structures.  Multiple calls to :func:`getLogger` with the same name
 will return a reference to the same logger object.  Loggers that are further
 down in the hierarchical list are children of loggers higher up in the list.
@@ -1572,6 +1572,11 @@
       69 myapp.area2     WARNING  Jail zesty vixen who grabbed pay from quack.
       69 myapp.area2     ERROR    The five boxing wizards jump quickly.
 
+Note that there are some security issues with pickle in some scenarios. If
+these affect you, you can use an alternative serialization scheme by overriding
+the :meth:`makePickle` method and implementing your alternative there, as
+well as adapting the above script to use your alternative serialization.
+
 Using arbitrary objects as messages
 -----------------------------------