This is the general pattern of indeterminate forms; two "rules" apply, so we throw up our hands in disgust: https://en.wikipedia.org/wiki/NaN#Operations_generating_NaN …
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Replying to @Gankra_
Fair enough. I guess I assumed that the math backed up the 0 case, but it appears not to
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Replying to @sgrif
the fact that Infinite is a "value" and that 1/0 produces it is already a fairly disgusting abuse, depending on who you ask.
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Replying to @Gankra_
1/0 == Infinity made sense to fifth grade me, though, so I stand by it
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Replying to @sgrif
It's not actually an indeterminate form, fwiw. x-> 1 / y -> 0 does diverge to infinity reliably iirc. That's just like, not a number.
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wolfram alpha, ever the smartass about complex numbers, declares 1/0 to be "complex infinity"
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Replying to @Gankra_
I'm just saying, math people got their shit together about this once. 0 ^ 0 == 1 because arbitrary. They could do the same here.
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Replying to @sgrif
no it's also indeterminate -- see the behaviour of powr.
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Replying to @sgrif
it is absolutely indeterminate in math as wellhttps://www.wolframalpha.com/input/?i=0%5E0
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One thing that Wolfram has convinced me of: Indeterminate is a way better name than NaN
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