DEPR: Remove Index type checking attributes (pandas-dev#57231)

* DEPR: Remove Index type checking attributes

* Remove is_floating usage

Author: mroeschke

doc/source/reference/index.rst

@@ -62,7 +62,6 @@ to be stable.
 ..
     .. toctree::
 
-        api/pandas.Index.holds_integer
         api/pandas.Index.nlevels
         api/pandas.Index.sort
 

doc/source/reference/indexing.rst

@@ -61,13 +61,6 @@ Modifying and computations
    Index.identical
    Index.insert
    Index.is_
-   Index.is_boolean
-   Index.is_categorical
-   Index.is_floating
-   Index.is_integer
-   Index.is_interval
-   Index.is_numeric
-   Index.is_object
    Index.min
    Index.max
    Index.reindex

doc/source/whatsnew/v3.0.0.rst

@@ -104,15 +104,15 @@ Deprecations
 Removal of prior version deprecations/changes
 ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~
 - All arguments except the first ``path``-like argument in IO writers are now keyword only (:issue:`54229`)
-- Removed :meth:`DataFrame.first` and :meth:`DataFrame.last` (:issue:`53710`)
-- Removed :meth:`DataFrameGroupby.fillna` and :meth:`SeriesGroupBy.fillna` (:issue:`55719`)
 - Removed ``DataFrameGroupBy.grouper`` and ``SeriesGroupBy.grouper`` (:issue:`56521`)
+- Removed ``DataFrameGroupby.fillna`` and ``SeriesGroupBy.fillna``` (:issue:`55719`)
 - Removed ``axis`` argument from :meth:`DataFrame.groupby`, :meth:`Series.groupby`, :meth:`DataFrame.rolling`, :meth:`Series.rolling`, :meth:`DataFrame.resample`, and :meth:`Series.resample` (:issue:`51203`)
 - Removed ``axis`` argument from all groupby operations (:issue:`50405`)
 - Removed ``pandas.io.sql.execute`` (:issue:`50185`)
 - Removed ``read_gbq`` and ``DataFrame.to_gbq``. Use ``pandas_gbq.read_gbq`` and ``pandas_gbq.to_gbq`` instead https://pandas-gbq.readthedocs.io/en/latest/api.html (:issue:`55525`)
 - Removed deprecated argument ``obj`` in :meth:`.DataFrameGroupBy.get_group` and :meth:`.SeriesGroupBy.get_group` (:issue:`53545`)
 - Removed the ``ArrayManager`` (:issue:`55043`)
+- Removed the ``is_boolean``, ``is_integer``, ``is_floating``, ``holds_integer``, ``is_numeric``, ``is_categorical``, ``is_object``, and ``is_interval`` attributes of :class:`Index` (:issue:`50042`)
 - Removed unused arguments ``*args`` and ``**kwargs`` in :class:`Resampler` methods (:issue:`50977`)
 - Unrecognized timezones when parsing strings to datetimes now raises a ``ValueError`` (:issue:`51477`)