Index: library/threading.rst
===================================================================
--- library/threading.rst	(revision 83069)
+++ library/threading.rst	(working copy)
@@ -299,9 +299,11 @@
 
       Return whether the thread is alive.
 
-      Roughly, a thread is alive from the moment the :meth:`start` method
-      returns until its :meth:`run` method terminates. The module function
-      :func:`.enumerate` returns a list of all alive threads.
+      A thread is alive from the moment the :meth:`start` method
+      returns until its :meth:`run` method terminates.  Note that
+      :meth:`isalive` may continue to return True for a short time after the 
+      method returns.  The module function :func:`.enumerate` returns a list
+      of all alive threads.
 
    .. attribute:: daemon