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

Achim Schneider wrote:

Kalman Noel 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. -- (c) this sig last receiving data processing entity. Inspect headers for past copyright information. All rights reserved. Unauthorised copying, hiring, renting, public performance and/or broadcasting of this signature prohibited.