On Tue, Mar 3, 2020 at 5:35 PM Guido van Rossum <guido@python.org> wrote:
But beware, IIRC there are pathological cases involving floats, (long) ints and rounding where transitivity may be violated in Python (though I believe only Tim Peters can produce an example :-). I'm honestly not sure that that's enough to sink the idea. (If it were, NaN would be a bigger problem.)

Floats cannot violate transitivity of inequality.  But they are also not a total order when you include nans and infs (which are part of floats).  I'm not as certain about unbounded ints, but I would be pretty surprised if they could somehow violate transitivity either.

Still, including floats in TotalOrderableExceptWeirdValues is fine... and that can alias Orderable for practical purposes.

 
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