Division by Zero

a Survey of Options

Abstract

The idea that, as opposed to the conventional viewpoint, division by zero may produce a meaningful result, is long standing and has attracted interest from many sides. We provide a survey of some options for the defining an outcome for the application of division in case the second argument equals zero. The survey is limited by a combination of simplifying assumptions which are grouped together in the idea of a premeadow, which generalises the notion of a transfield.