By the way, this is not just an intellectual curiosity: right now if you
ask Sympy what is the probability a uniform random variable on [0,1]
(defined with Uniform) is less than 0.5, you get an error which boils down
to these comparisons. See https://github.com/sympy/sympy/issues/8910
On Sunday, February 1, 2015 at 10:36:45 PM UTC-5, Kevin Ventullo wrote:
>
> Hi,
>
> I posted about this on GitHub but haven't gotten much of a response. Right
> now there are two seemingly mathematically equivalent notions of positive
> and negative infinity on the real line:
>
> -The singleton sympy.core.numbers.Infinity, also known as "oo"
> -Float("inf"), also known as "+inf"
>
> When trying to compare one of these to the other, we get inconsistent
> results, e.g.
>
> -oo < -inf
>
> will be left unevaluated but
>
> -inf > -oo
>
> returns False.
>
> I guess both of these should be False. However, we also have
>
> oo == x is False, but
> x == oo is True.
>
> Which of these is correct? Both of them?
>
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