diff --git a/Doc/library/exceptions.rst b/Doc/library/exceptions.rst
index 9c2e3a6..7129df5 100644
--- a/Doc/library/exceptions.rst
+++ b/Doc/library/exceptions.rst
@@ -157,9 +157,9 @@
 
 .. exception:: IndexError
 
-   Raised when a sequence subscript is out of range.  (Slice indices are silently
-   truncated to fall in the allowed range; if an index is not a plain integer,
-   :exc:`TypeError` is raised.)
+   Raised when a sequence subscript is out of range.  (Slice indices are
+   silently truncated to fall in the allowed range; if an index is not an
+   integer, :exc:`TypeError` is raised.)
 
    .. XXX xref to sequences
 
@@ -282,10 +282,10 @@
 
    This exception is raised by the :func:`sys.exit` function.  When it is not
    handled, the Python interpreter exits; no stack traceback is printed.  If the
-   associated value is a plain integer, it specifies the system exit status (passed
-   to C's :cfunc:`exit` function); if it is ``None``, the exit status is zero; if
-   it has another type (such as a string), the object's value is printed and the
-   exit status is one.
+   associated value is an integer, it specifies the system exit status (passed
+   to C's :cfunc:`exit` function); if it is ``None``, the exit status is zero;
+   if it has another type (such as a string), the object's value is printed and
+   the exit status is one.
 
    Instances have an attribute :attr:`code` which is set to the proposed exit
    status or error message (defaulting to ``None``). Also, this exception derives
diff --git a/Doc/library/functions.rst b/Doc/library/functions.rst
index ff6069d..4689985 100644
--- a/Doc/library/functions.rst
+++ b/Doc/library/functions.rst
@@ -429,13 +429,13 @@
 
 .. function:: float([x])
 
-   Convert a string or a number to floating point.  If the argument is a string, it
-   must contain a possibly signed decimal or floating point number, possibly
-   embedded in whitespace. The argument may also be [+|-]nan or [+|-]inf.
-   Otherwise, the argument may be a plain integer
-   or a floating point number, and a floating point number with the same value
-   (within Python's floating point precision) is returned.  If no argument is
-   given, returns ``0.0``.
+   Convert a string or a number to floating point.  If the argument is a string,
+   it must contain a possibly signed decimal or floating point number, possibly
+   embedded in whitespace. The argument may also be ``'[+|-]nan'`` or
+   ``'[+|-]inf'``.  Otherwise, the argument may be an integer or a floating
+   point number, and a floating point number with the same value (within
+   Python's floating point precision) is returned.  If no argument is given,
+   ``0.0`` is returned.
 
    .. note::
 
@@ -443,11 +443,12 @@
          single: NaN
          single: Infinity
 
-      When passing in a string, values for NaN and Infinity may be returned, depending
-      on the underlying C library.  Float accepts the strings nan, inf and -inf for
-      NaN and positive or negative infinity. The case and a leading + are ignored as
-      well as a leading - is ignored for NaN. Float always represents NaN and infinity
-      as nan, inf or -inf.
+      When passing in a string, values for NaN and Infinity may be returned,
+      depending on the underlying C library.  Float accepts the strings
+      ``'nan'``, ``'inf'`` and ``'-inf'`` for NaN and positive or negative
+      infinity.  The case and a leading + are ignored as well as a leading - is
+      ignored for NaN.  Float always represents NaN and infinity as ``nan``,
+      ``inf`` or ``-inf``.
 
    The float type is described in :ref:`typesnumeric`.
 
@@ -873,15 +874,15 @@
 .. XXX does accept objects with __index__ too
 .. function:: range([start,] stop[, step])
 
-   This is a versatile function to create lists containing arithmetic progressions.
-   It is most often used in :keyword:`for` loops.  The arguments must be plain
-   integers.  If the *step* argument is omitted, it defaults to ``1``.  If the
-   *start* argument is omitted, it defaults to ``0``.  The full form returns a list
-   of plain integers ``[start, start + step, start + 2 * step, ...]``.  If *step*
-   is positive, the last element is the largest ``start + i * step`` less than
-   *stop*; if *step* is negative, the last element is the smallest ``start + i *
-   step`` greater than *stop*.  *step* must not be zero (or else :exc:`ValueError`
-   is raised).  Example:
+   This is a versatile function to create iterators yielding arithmetic
+   progressions.  It is most often used in :keyword:`for` loops.  The arguments
+   must be integers.  If the *step* argument is omitted, it defaults to ``1``.
+   If the *start* argument is omitted, it defaults to ``0``.  The full form
+   returns an iterator of integers ``[start, start + step, start + 2 * step,
+   ...]``.  If *step* is positive, the last element is the largest ``start + i *
+   step`` less than *stop*; if *step* is negative, the last element is the
+   smallest ``start + i * step`` greater than *stop*.  *step* must not be zero
+   (or else :exc:`ValueError` is raised).  Example:
 
       >>> list(range(10))
       [0, 1, 2, 3, 4, 5, 6, 7, 8, 9]
diff --git a/Doc/library/profile.rst b/Doc/library/profile.rst
index c5c69a4..5f770f6 100644
--- a/Doc/library/profile.rst
+++ b/Doc/library/profile.rst
@@ -598,7 +598,7 @@
    timer call, along with the appropriate calibration constant.
 
 :class:`cProfile.Profile`
-   :func:`your_time_func` should return a single number.  If it returns plain
+   :func:`your_time_func` should return a single number.  If it returns
    integers, you can also invoke the class constructor with a second argument
    specifying the real duration of one unit of time.  For example, if
    :func:`your_integer_time_func` returns times measured in thousands of seconds,
diff --git a/Doc/library/stdtypes.rst b/Doc/library/stdtypes.rst
index c97e9ae..4259187 100644
--- a/Doc/library/stdtypes.rst
+++ b/Doc/library/stdtypes.rst
@@ -218,7 +218,7 @@
 
 There are three distinct numeric types: :dfn:`integers`, :dfn:`floating point
 numbers`, and :dfn:`complex numbers`.  In addition, Booleans are a subtype of
-plain integers.  Integers have unlimited precision.  Floating point numbers are
+integers.  Integers have unlimited precision.  Floating point numbers are
 implemented using :ctype:`double` in C.  All bets on their precision are off
 unless you happen to know the machine you are working with.
 
diff --git a/Doc/reference/datamodel.rst b/Doc/reference/datamodel.rst
index 1e33fa3..3912d1e 100644
--- a/Doc/reference/datamodel.rst
+++ b/Doc/reference/datamodel.rst
@@ -172,10 +172,7 @@
 
       There are two types of integers:
 
-      Plain integers
-         .. index::
-            object: plain integer
-            single: OverflowError (built-in exception)
+      Integers
 
          These represent numbers in an unlimited range, subject to available (virtual)
          memory only.  For the purpose of shift and mask operations, a binary
@@ -191,7 +188,7 @@
 
          These represent the truth values False and True.  The two objects representing
          the values False and True are the only Boolean objects. The Boolean type is a
-         subtype of plain integers, and Boolean values behave like the values 0 and 1,
+         subtype of the integer type, and Boolean values behave like the values 0 and 1,
          respectively, in almost all contexts, the exception being that when converted to
          a string, the strings ``"False"`` or ``"True"`` are returned, respectively.
 
diff --git a/Doc/reference/expressions.rst b/Doc/reference/expressions.rst
index a5e858b..af79e53 100644
--- a/Doc/reference/expressions.rst
+++ b/Doc/reference/expressions.rst
@@ -821,9 +821,9 @@
 .. index:: single: inversion
 
 
-The unary ``~`` (invert) operator yields the bitwise inversion of its plain or
-long integer argument.  The bitwise inversion of ``x`` is defined as
-``-(x+1)``.  It only applies to integral numbers.
+The unary ``~`` (invert) operator yields the bitwise inversion of its integer
+argument.  The bitwise inversion of ``x`` is defined as ``-(x+1)``.  It only
+applies to integral numbers.
 
 .. index:: exception: TypeError
 
diff --git a/Doc/reference/lexical_analysis.rst b/Doc/reference/lexical_analysis.rst
index 5748b9e..fdb5f99 100644
--- a/Doc/reference/lexical_analysis.rst
+++ b/Doc/reference/lexical_analysis.rst
@@ -565,9 +565,9 @@
    floating point literal, hexadecimal literal
    octal literal, binary literal, decimal literal, imaginary literal, complex literal
 
-There are three types of numeric literals: plain integers, floating point
-numbers, and imaginary numbers.  There are no complex literals
-(complex numbers can be formed by adding a real number and an imaginary number).
+There are three types of numeric literals: integers, floating point numbers, and
+imaginary numbers.  There are no complex literals (complex numbers can be formed
+by adding a real number and an imaginary number).
 
 Note that numeric literals do not include a sign; a phrase like ``-1`` is
 actually an expression composed of the unary operator '``-``' and the literal