
Re: What is infinity minus one?
Posted:
Oct 14, 2004 8:32 AM


>Further, I googled for "system of extended real numbers" and achieved >only one result, unrelated to this. So I will assume that this is not >the name I should be looking for when attempting to learn. What should I >search for in order to get more useful results?
You can start with Cantor's theory of transfinite numbers
OR
you can try the HYPERREAL number system.
Please note, that while both are mathematical systems that allow reasonable investigations into properties of "infinity", they are not the same. In a simplistic sense, Cantorian transfinites are more like integers, while the hyperreals are more like the reals. Thus while many things are the same in both systems, some things are different.
I would suggest that to get a "handle on infinity", the Cantorian transfinites are easier to deal with rigorously. However, if you want to apply to understanding realworld idealizations, e.g., Dirac delta functions, the hyperreals are more useful, however maintaining rigor requires more effort.
YMMV

