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In 3.x, "(object)" is now superfluous in class statements. Reference manual 7.7. Class definitions has simply
 class Foo: pass
In library manual 2. Built-in Functions, class examples for classmethod and staticmethod are the same. Class examples for dir, property, and type still have '(object)' in their class examples. Section 5.11.4. Methods example omits it. I cannot think of anywhere else there should be such examples.
I think we should be consistent and remove the remaining occurrences of '(object)' in the function examples. They can only confuse newcomers.
This part is easy.
I also think the doc for 'class' should say that the default inheritance is from the base class *object* (I presume this should be true in all implementations) and that 
 class Foo(object): pass
is the same as the above (unless the name 'object' has been rebound!).

Other unneeded uses of object, courtesy of grep:
library/sqlite3.rst:713: class Point(object):
library/multiprocessing.rst:1335: class MathsClass(object):
library/functions.rst:281: >>> class Foo(object):
library/functions.rst:897: class C(object):
library/functions.rst:916: class Parrot(object):
library/functions.rst:933: class C(object):
library/functions.rst:1237: >>> class X(object):
library/argparse.rst:1315: >>> class C(object):
library/ctypes.rst:372: >>> class Bottles(object):
library/itertools.rst:326: class groupby(object):
howto/descriptor.rst:156: class RevealAccess(object):
howto/descriptor.rst:173: >>> class MyClass(object):
howto/descriptor.rst:205: class C(object):
howto/descriptor.rst:214: class Property(object):
howto/descriptor.rst:250: class Cell(object):
howto/descriptor.rst:278: class Function(object):
howto/descriptor.rst:286: >>> class D(object):
howto/descriptor.rst:358: >>> class E(object):
howto/descriptor.rst:371: class StaticMethod(object):
howto/descriptor.rst:384: >>> class E(object):
howto/descriptor.rst:419: class ClassMethod(object):
howto/sorting.rst:228: class K(object):
reference/datamodel.rst:1990: >>> class C(object):
includes/sqlite3/adapter_point_2.py:3:class Point(object):
includes/sqlite3/converter_point.py:3:class Point(object):
includes/sqlite3/adapter_point_1.py:3:class Point(object):
includes/mp_newtype.py:15:class Foo(object):

Attached a patch to implement the suggested changes on 3.2. If the patch is ok I can do the same for 3.1.

I will commit the patch this week unless someone opposes to it.
We still need a doc change as described in Terry’s original message.

Hi eric, what doc change are you referring to?

"I also think the doc for 'class' should say that the default inheritance is from the base class *object*"

These mostly look good. Do leave the howto documents as-is. They have some value across multiple versions of Python. Also, the descriptor how-to in particular gets some benefit from keeping (object) explicit because it helps remind users which version of __getattribute__ is being run.
Other than the how-tos, please go ahead and apply.

The patch actually already contained a doc change addressing Terry’s second request, thank you Xuanji Li. I reverted the changes to howto as per Raymond’s comment, made some other slight editions (like removing trailing whitespace) and committed as r86670 and r86672.