On Wed, Mar 5, 2014 at 9:43 AM, Steven D'Aprano < steve+comp.lang.pyt...@pearwood.info> wrote:
> At one time, Euler summed an infinite series and got -1, from which he > concluded that -1 was (in some sense) larger than infinity. I don't know > what justification he gave, but the way I think of it is to take the > number line from -∞ to +∞ and then bend it back upon itself so that there > is a single infinity, rather like the projective plane only in a single > dimension. If you start at zero and move towards increasingly large > numbers, then like Buzz Lightyear you can go to infinity and beyond: > > 0 -> 1 -> 10 -> 10000 -> ... ∞ -> ... -10000 -> -10 -> -1 -> 0 > This makes me think that maybe the universe is using ones or two complement math (is there a negative zero?)... Chris
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