can anyone give a brief explanation?

Do you mean hyperspace?

no, hyperreals

you mean, hyperreal number? or hyperreality?



This post was edited by hk_nobody on Feb 5 2009 05:49am

numbers..

I'm not sure there exists a "brief" explanation of hyperreal numbers. In fact, it's tough to figure out what "real" numbers are. Our mathematics is on a rather precarious cusp.

Formally speaking, real numbers are those that are countably continuous, and form a complete Archimedian field. The notion of hyperreal formality allows that field to expand and encompass fields involving infinitely large and infinitesimal numbers. It's the basic building block for all forms of non-standard arithmetical analysis.

If it involves numbers we can't possibly comprehend except by pure abstraction, then it probably involves hyperreals.

right, but how is it possible to represent the infinite and infinitesimal

that's the part of interest

This post was edited by zero_infinity on Feb 6 2009 12:25am