BUG: DataFrame.select_dtypes(include='number') includes BooleanDtype columns

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Reproducible Example

import pandas as pd

df = pd.DataFrame({
    'a': [1, 2, 3],
    'b': pd.Series([True, False, True], dtype=pd.BooleanDtype()),
})
print(df.select_dtypes(include='number').columns)
# Output: Index(['a', 'b'], dtype='object')

Issue Description

The DataFrame.select_dtypes method includes columns with dtype of BooleanDtype when include='number' is given as a kwarg. This is different than the behavior for columns with dtype of bool and seems like a bug.

Expected Behavior

The code above should output: Index(['a'], dtype='object')

Installed Versions

INSTALLED VERSIONS

commit : 4bfe3d07b4858144c219b9346329027024102ab6 python : 3.9.12.final.0 python-bits : 64 OS : Darwin OS-release : 20.6.0 Version : Darwin Kernel Version 20.6.0: Tue Feb 22 21:10:41 PST 2022; root:xnu-7195.141.26~1/RELEASE_X86_64 machine : x86_64 processor : i386 byteorder : little LC_ALL : None LANG : en_US.UTF-8 LOCALE : en_US.UTF-8

pandas : 1.4.2 numpy : 1.21.5 pytz : 2021.3 dateutil : 2.8.2 pip : 21.2.4 setuptools : 59.8.0 Cython : None pytest : None hypothesis : None sphinx : None blosc : None feather : None xlsxwriter : None lxml.etree : None html5lib : None pymysql : None psycopg2 : None jinja2 : None IPython : 8.2.0 pandas_datareader: None bs4 : None bottleneck : 1.3.4 brotli : None fastparquet : None fsspec : None gcsfs : None markupsafe : None matplotlib : None numba : None numexpr : 2.8.1 odfpy : None openpyxl : None pandas_gbq : None pyarrow : None pyreadstat : None pyxlsb : None s3fs : None scipy : None snappy : None sqlalchemy : None tables : None tabulate : None xarray : None xlrd : None xlwt : None zstandard : None

[MichaelRocchio]

Hey @macks22. I was able to recreate this issue on a different OS as well. I am going to start looking into the sourcecode, specifically the df.select_dtypes function to see if I can find what’s up.

[simonjayhawkins]

moving to 1.4.4