Raymond Hettinger <raymond.hettin...@gmail.com> added the comment:

The math.isfinite() docs could be changed to something like, "coerces x to a 
float if possible and then returns True if x is neither an infinity nor a NaN, 
and False otherwise."  Or there could be a general note about which functions 
(most of them) coerce to float (which can fail).

With respect to typing and PEP-484, I don't see a bug or documentation issue.  
Types relationships are useful for verifying which methods are available, but 
they don't make promises about the range of valid values.  For example 
math.sqrt(float) -> float promises which types are acceptable but doesn't 
promise that negative inputs won't raise an exception.  Likewise, "n: int=10; 
len(range(n))" is type correct but will raise an OverflowError for "n = 
10**100".

----------
assignee:  -> docs@python
components: +Documentation
nosy: +docs@python, rhettinger

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<https://bugs.python.org/issue47121>
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