David W. Cantrell <DWCantrell@sigmaxi.org> writes: > Tim Brauch <RnEeMwOs.pVoEst@tbrauch.cNOoSPAMm> wrote:
> > But overall, I would say your reasoning is pretty good and catches the > > essential parts of why arithmetic with infinity is not a good idea. > > If you think it's a bad idea, then perhaps you should contemplate why > the most used (in terms of number of computations performed per day) > number system in the world, floating-point arithmetic, incorporates > arithmetic with infinity (and does so according to an internationally > accepted standard). You might also ask yourself why, if it's a bad idea, > all computer algebra systems (or at least all known to me) implement > arithmetic with infinity.
I would suspect that the IEEE 754 standard includes infinities due to reasons other than wanting it for actual calculations.