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BUG: Categorical series .isin({pd.NaT, ...}) gives all-False #36550

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@adamhooper

Description

@adamhooper
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Code Sample, a copy-pastable example

import pandas as pd
pd.Series([pd.NaT, ''], dtype='category').isin({pd.NaT, ''})  # [True, True]
pd.Series([''], dtype='category').isin({''})  # [True] because '' is in series
pd.Series([''], dtype='category').isin({None, ''})  # [True] because '' is in series
pd.Series([''], dtype='category').isin({pd.NaT, ''})  # [False] even though '' is in series

Problem description

When searching for empty values in a categorical full of empty values, searching for pd.NaT will prevent other terms from being found.

(Perhaps that's because Pandas casts all input values to Timedelta?)

This behavior is unexpected. It makes me feel like I must be crazy. If I'm not meant to search for pd.NaT, I'd feel very happy with an error message when I try this.

Expected Output

pd.Series([''], dtype='category').isin({pd.NaT, ''})  # [True] because '' is in series

Output of pd.show_versions()

INSTALLED VERSIONS

commit : 2a7d332
python : 3.8.5.final.0
python-bits : 64
OS : Linux
OS-release : 5.8.4-200.fc32.x86_64
Version : #1 SMP Wed Aug 26 22:28:08 UTC 2020
machine : x86_64
processor : x86_64
byteorder : little
LC_ALL : None
LANG : en_US.UTF-8
LOCALE : en_US.UTF-8

pandas : 1.1.2
numpy : 1.19.2
pytz : 2019.3
dateutil : 2.8.0
pip : 19.3.1
setuptools : 45.2.0
Cython : None
pytest : 5.4.3
hypothesis : None
sphinx : None
blosc : None
feather : None
xlsxwriter : None
lxml.etree : 4.4.1
html5lib : 1.0.1
pymysql : None
psycopg2 : None
jinja2 : 2.11.2
IPython : None
pandas_datareader: None
bs4 : 4.9.1
bottleneck : None
fsspec : None
fastparquet : None
gcsfs : None
matplotlib : None
numexpr : None
odfpy : None
openpyxl : None
pandas_gbq : None
pyarrow : 0.16.0
pytables : None
pyxlsb : None
s3fs : None
scipy : None
sqlalchemy : None
tables : None
tabulate : None
xarray : None
xlrd : None
xlwt : None
numba : None

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    BugCategoricalCategorical Data TypeMissing-datanp.nan, pd.NaT, pd.NA, dropna, isnull, interpolateisinisin method

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