[Haskell-cafe] Re: 0/0 > 1 == False

Achim Schneider barsoap at web.de
Sat Jan 12 05:24:32 EST 2008

Achim Schneider <barsoap at web.de> wrote:

> Kalman Noel <kalman.noel at bluebottle.com> wrote:
> > Achim Schneider wrote:
> > > whereas lim( 0 ) * lim( inf ) is anything you want
> > 
> > Indeed I suppose that »lim inf«, which is a notation I'm not
> > familiar with, is not actually defined to mean anything?
> > 
> It's an ad-hoc expression of "as the slices approach zero size, their
> number approaches infinity". It's more an observation than anything
> else. I have no idea how a professional mathematician would formalise
> it.
Actually, lim( 0 ) * lim( inf ) isn't anything but equals one, and
the anything is defined to one (or, rather, is _one_ anything) to be
able to use the abstraction. It's a bit like the difference between
eight pens and a box of pens. If someone knows how to properly
formalise n = 1, please speak up.

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